https://conwaylife.com/w/api.php?action=feedcontributions&feedformat=atom&user=Sokwe 2026-11-08T22:40:31Z User contributions MediaWiki 1.45.3 https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176230 2026-11-08T22:17:25Z

<p>Sokwe: /* 3c/7 spaceships, puffers, rakes */ rakes of periods 119 and 231 By David Bell</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Spaceships and versatile puffers of all non-orthogonal velocities strictly below the [[speed limit]] can be [[omniship|constructed]].<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 14 Sep 2026: [[omniship|All velocities strictly below the speed limit]] [ENDW, Goldtiger997]&lt;br&gt;<br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 18 Sep 2026: versatile puffers for all non-orthogonal velocities strictly below the speed limit [ENDW, Goldtiger997]&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239912#p239912 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239912#p239912 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239233#p239233 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176205 2026-11-06T02:46:15Z

<p>Sokwe: /* 3c/7 spaceships, puffers, rakes */ rakes of periods 112, 175, 189, 224, and 266 by David Bell</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Spaceships and versatile puffers of all non-orthogonal velocities strictly below the [[speed limit]] can be [[omniship|constructed]].<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 14 Sep 2026: [[omniship|All velocities strictly below the speed limit]] [ENDW, Goldtiger997]&lt;br&gt;<br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 18 Sep 2026: versatile puffers for all non-orthogonal velocities strictly below the speed limit [ENDW, Goldtiger997]&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239618#p239618 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239233#p239233 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176157 2026-11-03T18:39:04Z

<p>Sokwe: /* 3c/7 spaceships, puffers, rakes */ rakes of periods 49, 98, 133, 147, 196, and 245 by David Bell</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Spaceships and versatile puffers of all non-orthogonal velocities strictly below the [[speed limit]] can be [[omniship|constructed]].<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 14 Sep 2026: [[omniship|All velocities strictly below the speed limit]] [ENDW, Goldtiger997]&lt;br&gt;<br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 18 Sep 2026: versatile puffers for all non-orthogonal velocities strictly below the speed limit [ENDW, Goldtiger997]&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239471#p239471 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239233#p239233 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Honey_farm_hasslers&diff=176141 2026-11-01T22:04:10Z

<p>Sokwe: Added links for p98 and p160 honey farm shuttles to reference table</p> <hr /> <div>{{Glossary}}{{HasslerList}}<br /> A '''honey farm hassler''' is an [[oscillator]] that [[hassle]]s one or more [[predecessor]]s of the [[honey farm]]. Honey farms are particularly common; they are more common than [[list of common evolutionary sequences|every other sequence]] except the [[traffic light]], and they have D8_1 (8-way with odd sides) [[symmetry]]. In addition, the [[tub]] that forms in the intermediate phases of the sequence survives in some reactions and can be perturbed into another honey farm.<br /> <br /> The concept of using a search program to find catalysts that perturb a honey farm in twofold rotational symmetry (C2) was proposed in 2013&lt;ref&gt;https://discord.com/channels/357922255553953794/370570978188591105/1373373260170788876&lt;/ref&gt;; a 2018 forum post by [[Matthias Merzenich]] can be found [https://conwaylife.com/forums/viewtopic.php?p=64930#p64930 here]. A few were found with this suggestion, but the high number of honey farm hasslers (and hasslers of other types) didn't take off until 2021 and 2022 when [[David Raucci]]'s search program and symmetric [[CatForce]] were written. For comparison, the stamp collection in the linked 2018 forum post only has 23 oscillators.<br /> <br /> &lt;center&gt;<br /> {|class=&quot;wikitable&quot; <br /> ! colspan=&quot;17&quot; | Honey farm hassler known periods<br /> |-<br /> | style=&quot;background:#cccccc;text-align:center&quot; | 2<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p3|3]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p4|4]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p5|5]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p6|6]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p7|7]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p8|8]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-9 honey farm hasslers|9]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p10|10]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p11|11]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-12 honey farm hasslers|12]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-13 honey farm hasslers|13]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-14 honey farm hasslers|14]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-15 honey farm hasslers|15]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-16 honey farm hasslers|16]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p17|17]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-18 honey farm hasslers|18]]<br /> |-<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p19|19]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-20 honey farm hasslers|20]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-21 honey farm hasslers|21]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p22|22]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p23|23]]<br /> | style=&quot;background:#80ffff;text-align:center&quot; | [[Period-24 honey farm hasslers|24]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-25 honey farm hasslers|25]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p26|26]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-27 honey farm hasslers|27]]<br /> | style=&quot;background:#80ffff;text-align:center&quot; | [[Period-28 honey farm hasslers|28]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-29 honey farm hasslers|29]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-30 honey farm hasslers|30]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 31<br /> | style=&quot;background:#80ffff;text-align:center&quot; | [[Period-32 honey farm hasslers|32]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p33|33]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p34|34]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-35 honey farm hasslers|35]]<br /> |-<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-36 honey farm hasslers|36]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p37|37]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-38 honey farm hasslers|38]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p39|39]]<br /> | style=&quot;background:#80ffff;text-align:center&quot; | [[Period-40 honey farm hasslers|40]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 41<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-42 honey farm hasslers|42]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p43|43]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p44|44]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-45 honey farm hasslers|45]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p46|46]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p47|47]]<br /> | style=&quot;background:#80ffff;text-align:center&quot; | [[Period-48 honey farm hasslers|48]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p49|49]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-50 honey farm hasslers|50]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p51|51]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p52|52]]<br /> |-<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 53<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p54|54]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p55|55]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p56|56]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p57|57]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p58|58]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p59|59]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-60 honey farm hasslers|60]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p61|61]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p62|62]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p63|63]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p64|64]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p65|65]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p66|66]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 67<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 68<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p69|69]]<br /> |-<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-70 honey farm hasslers|70]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p71|71]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p72|72]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p73|73]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p74|74]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p75|75]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 76<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p77|77]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 78<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p79|79]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p80|80]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 81<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 82<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p83|83]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p84|84]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 85<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 86<br /> |-<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 87<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 88<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 89<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p90|90]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p91|91]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 92<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 93<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[AK-94|94]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p95|95]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p96|96]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p97|97]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Honey farm shuttles#p98|98]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 99<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p100|100]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 101<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p102|102]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 103<br /> |-<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 104<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p105|105]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p106|106]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 107<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p108|108]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 109<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Period-110 honey farm hasslers|110]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p111|111]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 112<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p113|113]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 114<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 115<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 116<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p117|117]]<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 118<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; | 119<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p120|120]]<br /> |-<br /> ! colspan=&quot;17&quot; |<br /> |-<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p128|128]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p130|130]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p135|135]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Honey farm shuttles#p136|136]]<br /> | style=&quot;background:#80ff80;text-align:center&quot; | [[#p143|143]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p144|144]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p147|147]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Honey farm shuttles#p156|156]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Honey farm shuttles#p160|160]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Honey farm shuttles#p168|168]]<br /> | style=&quot;background:#c6efce;text-align:center&quot; | [[#p182|182]]<br /> | style=&quot;background:#c6ceef;text-align:center&quot; | [[Honey farm shuttles#p220|220]]<br /> | colspan=&quot;7&quot; |<br /> |-<br /> ! colspan=&quot;17&quot; |<br /> |-<br /> | style=&quot;background:#ffffff;text-align:right&quot; colspan=&quot;1&quot; | Key:<br /> | style=&quot;background:#ffc7ce;text-align:center&quot; colspan=&quot;3&quot; | unknown{{refn|group=note|Despite a honey farm being perturbed in the [[Snark]] reaction, [[adjustable glider loop]]s at periods ≥ 43 are not usually regarded as honey farm hasslers, as they can be adjusted so that the evolution of honey farm sequence takes up a very small portion of space and time during a period. Dependent reflector loops also aren't usually considered to be true hasslers either}}<br /> | style=&quot;background:#c6efce;text-align:center&quot; colspan=&quot;2&quot; | known<br /> | style=&quot;background:#80ff80;text-align:center&quot; colspan=&quot;11&quot; | guns that can be [[capped]] to form an oscillator<br /> |-<br /> | style=&quot;background:#c6ceef;text-align:center&quot; colspan=&quot;8&quot; | known; on a separate page<br /> | style=&quot;background:#80efff;text-align:center&quot; colspan=&quot;9&quot; | known including guns; on a separate page<br /> |}<br /> &lt;/center&gt;<br /> <br /> == Shuttles ==<br /> {{main|Honey farm shuttles}}<br /> <br /> == Dependent reflectors ==<br /> {{main|Dependent reflector}}<br /> <br /> == Other hasslers ==<br /> <br /> ===p3===<br /> {{EmbedViewer<br /> |rle = x = 67, y = 23, rule = B3/S23<br /> 2o2b2o$bo3bo5b2o3bobo$bobobob2obo2bo2b2obo5b2o2bo8b2obo2bob2o5b2obo2b<br /> o$2bobobobob2obo5bo4bob4o7bobob4obobo2bo2bob4o$obo3bo7b5ob2o2bo12bobo<br /> 5bo2b5obo5b2obo$2ob4o5b2o4bobobo3b4o6b2ob4o2bobo5bob4obob2o$3bobo2b2o<br /> 2b2obo6bo2bo4bo8bobobobo2bobo2bobobobo$3bobo2b2ob2obo2b3o2b2ob2ob2o8b<br /> 2ob3o2bobobob2obobo$2b2obo2bo8b2ob3obo4bo6b2o6bo2b2o5b3obo$6b2obo3bo7b<br /> 2o10bo5bo3bo3bo2bo2bo5bob2o$7bobob3o2b2o3bobobob3o2bobo2bo8bobob2obo2b<br /> ob2ob2o$7bob2o2b3o2bo3b2obo3bo2bobo2bo3bob2o3bo2b3o2b2obo$4b2ob2obo2b<br /> ob2obobo8bo2bobo2b3obobobo3b2o2b3obobo$4b2obo5bo2bo2bo3bo3bo5bo10b2o7b<br /> o3bob2o$8bob3o5b2o2bo6b2o6bo4bob3ob2o8bo2bob2o$9bobob2obobobo2b3ob2o8b<br /> 2ob2ob2o2b3o2bob2ob2o2bobo$7bobobobo2bobo2bobobobo8bo4bo2bo6bob2o2b2o<br /> 2bobo$3b2obob4obo5bobo2b4ob2o6b4o3bobobo4b2o5b4ob2o$3bob2o5bob5o2bo5b<br /> obo12bo2b2ob5o7bo3bobo$7b4obo2bo2bobob4obobo7b4obo4bo5bob2obobobobo$7b<br /> o2bob2o5b2obo2bob2o8bo2b2o5bob2o2bo2bob2obobobo$48bobo3b2o5bo3bo$61b2o<br /> 2b2o!<br /> |viewerconfig = #C [[ GPS 3 THUMBLAUNCH THUMBSIZE 2 THEME 6 ]]<br /> |position = center<br /> |caption = p3, found by [[MathAndCode]] on April 3, 2025, based on an oscillator by [[Scorbie]]&lt;ref name=&quot;post209199&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp3_y08oxggxc88r5ka2jzw4s3qkg85dkkm9pp32ad11zwd5kbaq789pe80mccgb96zwg9fgaaoib960cs18fgmazw5t2iap481ca6nc45jgzwdlkn5dg4ght0gr1u0ujzy11w18kkk8w1zw4s0s2c40s44g6ogmkkozw354hirkgaq08gea70uiz08k4ra0sr1h8a4ca95pa6z0h987oqk08peb9gd98nioz01qbwcd8klmqgb5lf0uiz62alhfaaq1w66xdbz311023<br /> }}<br /> <br /> ===p4===<br /> {{EmbedViewer<br /> |rle = x = 39, y = 41, rule = B3/S23<br /> 13b2o10b2o$13bo12bo$15bo8bo$11b5o2bo2bo2b5o$10bo5b8o5bo$10bob5o6b5obo<br /> $13bo4b4o4bo$11b2o2bo2bo2bo2bo2b2o$14b2o8b2o$13b2o10b2o$4bo8b2o10b2o$<br /> 3bob2obo5bo4b2o4bo$o2bobo2bo6b2o6b2o9bo$3ob2obobo20bob2obo$3bobo3bo6b<br /> o6bo6bo2bobo2bo$2b2o2bo3bo6b6o6bobob2ob3o$3bo2bo4bob2o14bo3bobo$bo3bo<br /> 3b2o2b2o13bo3bo2b2o$b9o3bo6bo3b2obo4bo2bo$13bo4bo2bo2b2o2b2o3bo3bo$b9o<br /> 3bo3bo3bo3bo3b9o$bo3bo3b2o2b2o2bo2bo4bo$3bo2bo4bob2o3bo6bo3b9o$2b2o2b<br /> o3bo13b2o2b2o3bo3bo$3bobo3bo14b2obo4bo2bo$3ob2obobo6b6o6bo3bo2b2o$o2b<br /> obo2bo6bo6bo6bo3bobo$3bob2obo20bobob2ob3o$4bo9b2o6b2o6bo2bobo2bo$13bo<br /> 4b2o4bo5bob2obo$12b2o10b2o8bo$12b2o10b2o$13b2o8b2o$10b2o2bo2bo2bo2bo2b<br /> 2o$12bo4b4o4bo$9bob5o6b5obo$9bo5b8o5bo$10b5o2bo2bo2b5o$14bo8bo$12bo12b<br /> o$12b2o10b2o!<br /> |viewerconfig = #C [[ GPS 4 THUMBLAUNCH THUMBSIZE 2 THEME 6 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p4, found by Hotcrystal0 on March 10, 2025, based on an oscillator found by MathAndCode&lt;ref name=post206496&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp4_y8g89n8c82u0u28c8n98gzy0ggy3b9lh22hv0vh22hl9bzc4gv0u4jocc8gy01qp888pq1xgoog68t1u08ozx4v1s4xo101uw8448xs203gw19o3u91zg08p7s19ogggc043gg012ihw780o1wgi3ofigz11078b16011wgg85ph1hp58ggx1331c2ngf023zy6gd9q8448v0v8448q9dgzy719e13147074131e91<br /> }}<br /> <br /> ===p5===<br /> <br /> {{EmbedViewer<br /> |rle = x = 43, y = 46, rule = B3/S23<br /> $32bo$30b3o$29bo8b2o$29bob2o5bo$28b2obobo5bo$33bo4b2o$31bobob2o$16bo<br /> 13b2obobob5o$16b3o9b2o3bo5bo2bo$9b2o8bo8b2obo2b4o3b2o$10bo5b2obo7b2o2b<br /> 3o4bo$9bo5bobob2o6b3o6bobo$9b2o4bo11b3o6bobo$12b2obobo6b2ob2o2b3o4bo$<br /> 7b5obobob2o5b2o2b2obo2b4o3b2o$6bo2bo5bo3b2o2bobo2b2o3bo5bo2bo$6b2o3b4o<br /> 2bob2o2b2o5b2obobob5o$10bo4b3o2b2ob2o6bobob2o$10bobo6b3o11bo4b2o$10bob<br /> o6b3o6b2obobo5bo$10bo4b3o2b2o7bob2o5bo$6b2o3b4o2bob2o8bo8b2o$6bo2bo5bo<br /> 3b2o9b3o$7b5obobob2o13bo$12b2obobo$9b2o4bo$9bo5bobob2o$10bo5b2obo$9b2o<br /> 8bo$16b3o$16bo!<br /> |viewerconfig = #C [[ GPS 3 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p5, found by Carson Cheng on August 3, 2023 &lt;ref name=&quot;post164529&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp5_xkcy0gbq2sgzok45lkiug7io4oy5g88cy1ggzggwgmmgg0gmfvx8ox23g39u0o8glmggz122qa2470u4h2hgx64xvsr2023qq2w23zx23y1d543y5796io2uiaa88a6zyi2egmk3y0dbzym1<br /> }}<br /> <br /> ===p6===<br /> <br /> {{EmbedViewer<br /> |rle = x = 63, y = 41, rule = B3/S23<br /> 31b2o$4bo2bo2bo16b2obobo$4b7o2bo14bobo$11b3o14bobo$2b6o2bo16b2o3bob2ob<br /> 2o$bo2bobobo2bo14bo3b4obobo$b2o3bob2obo15b3o3bo3bo$5b2obo2b2o17b4ob2o$<br /> 5b2obobo16b2obo$10bo15bobo2bo2b5o$b2o5b2o6bo9bo3bo3bo4bo$bo3bobo7bobo<br /> 9b3o6b3o$2b3ob2o7bob3o9bob4obo$4b2o6b2obo4bo9b6o$4o3bo4bobob2o2bo10b4o<br /> $o3b5o5bobobob2o$3bo5bo3b2o3bo4bo27bo$3bobobob2o4bobobob4o26b3o$4b2obo<br /> bobo7b2o4bo4b3o4b2o2b2ob2o3b2o3bo$7b2obo2b2o6bo3b2o2bo3bo3b2o3bob3obo<br /> 3b2obob2o$4b2obo2bobo2b2obobo2bobo2bo5bo2bobo2bobob2o2bobo2bob2o$4b2ob<br /> ob2o3bob3obo3b2o3bo3bo2b2o3bo6b2o2bob2o$8bo3b2o3b2ob2o2b2o4b3o4bo4b2o<br /> 7bobobob2o$9b3o26b4obobobo4b2obobobo$11bo27bo4bo3b2o3bo5bo$41b2obobobo<br /> 5b5o3bo$28b4o10bo2b2obobo4bo3b4o$27b6o9bo4bob2o6b2o$26bob4obo9b3obo7b<br /> 2ob3o$24b3o6b3o9bobo7bobo3bo$23bo4bo3bo3bo9bo6b2o5b2o$24b5o2bo2bobo15b<br /> o$32bob2o16bobob2o$26b2ob4o17b2o2bob2o$25bo3bo3b3o15bob2obo3b2o$25bobo<br /> b4o3bo14bo2bobobo2bo$24b2ob2obo3b2o16bo2b6o$32bobo14b3o$32bobo14bo2b7o<br /> $30bobob2o16bo2bo2bo$30b2o!<br /> |viewerconfig = #C [[ GPS 4 THUMBLAUNCH THUMBSIZE 2 THEME 6 THUMBZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = The [[p6 honey farm hassler]]&lt;ref name=&quot;post181639&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp6_0gg0si6x6icgfh88g0ggz04v05aqbaco22207cl545l8gz019e122611xckggh29dlc32zy625t16aa8w3uzy91130v095h1hy1g8gy0gz0c88c2s0cq2sgy11hhg1y0s230v0ul5dz6513l38v1o3wvy1fdfy178o6ok7o6lmkl3zy0d5530fge21x8484k4oy112210121w1zyd44s540ngm44ozyegbmg08aabk552y2ggzyc2ehd542cg011wokkjqi43s4zyfdd1dlhfgaia01262at0f9zyl470123x321<br /> }}<br /> <br /> ===p7===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p7honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 4 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p7, found by James Pascua on January 7, {{year|2022}}&lt;ref name=&quot;post139890&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp7_ra1u08kcy2ck80u1arzw9720ggwsswgg0279zxo8g11wnnw11zy1rawfa610253zy223<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 15, y = 33, rule = B3/S23<br /> 12bo$12b2o$4b2o$4b2ob3o2bobo$8bo5bo$9b5o2$9b5o$8bo5bo$4b2ob3o2bobo$4b<br /> 2o$12b2o$12bo$8bo$7bo$2b2o2bobo4b2o$o2bo7bo2bo$2o4bobo2b2o$7bo$6bo$2bo<br /> $b2o$9b2o$obo2b3ob2o$o5bo$b5o2$b5o$o5bo$obo2b3ob2o$9b2o$b2o$2bo!<br /> |viewerconfig = #C [[ GPS 4 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p7, found by James Pascua on January 27, {{year|2022}}&lt;ref name=&quot;post140840&quot; /&gt;. Uses [[38P7]]s.<br /> |style = width:300px;<br /> |apgcode = xp7_4akm9u0u9mka4w39cy0ggy1ggzwjhy1hjx66accxphy1hpzw11y111y06iow4a5dif0fid5a4<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p8===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p8honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 4 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p8, found by [[David Buckingham]] on June 30, {{year|1976}}&lt;ref name=&quot;drh&quot;&gt;{{CiteHickersonOscillators|accessdate=June 7, 2021}}&lt;/ref&gt;<br /> |style = width:300px;<br /> |apgcode = xp8_ggy4ca23z0346xscszy3333x62sgzxc453<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p8rpentominohassler<br /> |viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 GPS 4 HEIGHT 500 ]]<br /> |position = center<br /> |caption = R-pentomino hassler which generations 2 and 3 reveal can also be viewed as a honey farm hassler&lt;ref name=&quot;post151274&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp8_8oy3ca23z0123xr3xszy310gg66x62sgzy36221<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p10===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p10honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 5 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p10, found by [[James Pascua]] on January 1, {{year|2022}}&lt;ref name=&quot;post139611&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp10_y08o0u1ry0r1u0o8goz0o44ngmlg7a11a7glmggz178bqw8a644446a8wqb8oggo4k808ozxo8088y2gy2s222gnsjd218v1u0o8gzxg9f669x77877y0vn0s6okg08da08ehi0f0u28czx11011xg888888gx344d2261139cy211zy33303ggg44ggg3033zy0c4go2q6gy2g6q2og4czy611y211<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p10singlehoneyfarmhassler<br /> |viewerconfig = #C [[ GPS 5 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p10, reduced by [[James Pascua]] on February 12, {{year|2025}}&lt;ref name=&quot;post203754&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp10_ggy52c34wca23gg0sikozhaahnk44kcy0emoy0pkjgmk48a6z110ck5s346w8o01h0oy332156zy11y0311y0301<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p11===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p11honeyfarmhasslers<br /> |viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 GPS 6 ]]<br /> |position = center<br /> |caption = p11s of two different types plus a hybrid. Top left: found by [[David Buckingham]] on October 9, {{year|1984}}&lt;ref name=&quot;drh&quot; /&gt; and since reduced by James Pascua. Top right: Found by [[David Raucci]] on June 6, {{year|2021}}.&lt;ref name=&quot;post131578&quot; /&gt;<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p11honeyfarmhassler<br /> |viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 GPS 6 ]]<br /> |position = center<br /> |caption = p11, found by [[Elijah Ken]] on December 3, {{year|2025}}&lt;ref name=&quot;post222237&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp11_y01784s0ggkczwggw6454hy166xg0s4z4701y11ihw6prjcwh9gy1g0s4zy44701xccy1h4k4cw11zyf65110742sg<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p17===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = honeythieves<br /> |viewerconfig = #C [[ GPS 9 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[honey thieves]]<br /> |style = width:300px;<br /> |apgcode = xp17_32acy1ca23zy27rszwo8a6y16a8o<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = honeyring<br /> |viewerconfig = #C [[ GPS 9 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[honey ring]]<br /> |style = width:300px;<br /> |apgcode = xp17_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<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p19===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = cribbage<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 16 GPS 9 STARTFROM 6 ]]<br /> |position = center<br /> |caption = p19 ([[cribbage]])&lt;ref name=&quot;post163664&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 163664<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Carson Cheng<br /> |date = July 14, 2023<br /> }}&lt;/ref&gt;<br /> |style = width:300px;<br /> |apgcode = xp19_0c4gf9gy4c88gz69alld03xoy11108cy2g8oz0643y2c5y47xg0cabk4ozy9354cy3125t38dzym11<br /> }}}}<br /> <br /> {{gallery item|{{EmbedViewer<br /> |pname = 134p19<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 16 GPS 9 ]]<br /> |position = center<br /> |caption = [[Goban]], initially found as a [[Period-38 honey farm hasslers|p38]].<br /> |style = width:300px;<br /> |apgcode = xp19_y7o4ap30g8gzy4253032war0raa4z358ml2wg08s2y5ca23zw641xjg1y5ok0exc9jzy26221ggo0ogx21y1253056zy5122ege20oi6o652zyc6421<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p22===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p22honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 11 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p22, found by [[Dongook Lee]] on October 3, {{year|2015}}&lt;ref name=&quot;post23226&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp22_178cy4c871zy2sogczy4o4cszxg8oy4o8gzw23y832<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p22honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 11 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p22, found by [[Period1GliderGun]] on October 1, {{year|2026}}&lt;ref name=&quot;post236353&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp22_y532aczy84q12szya11zy7s22cgzy8121o8zgy2o4ox880113x8e13z11da8cw1104y020o8g0315b8ozwc871xc88g11x121zy71h848gzy93443zy7g88gzy734852zyb354c<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p23===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p23honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 12 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[p23 honey farm hassler]]<br /> |style = width:300px;<br /> |apgcode = xp23_0ggw32acxca23wckzgg346xoo8ggy065loz1qa6y2111x62sgz023wc453x354c<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = 55p23<br /> |viewerconfig = #C [[ GPS 12 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[55P23]]<br /> |style = width:300px;<br /> |apgcode = xp23_02egoy1ca23zy4sgox4acga6zgs26y01y239czy3ccx6a8o<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p23honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 12 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p23, found by [[Nora Brown]] on July 31, 2024&lt;ref name=&quot;post191010&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp23_y44a9l6ge93zy7121zwo8gy69ra4xg88czwo8bqyabq23z6221x4ariy6123zy8g8gzy5oie1clia4<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p26===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p26honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 13 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 STARTFROM 6 ]]<br /> |position = center<br /> |caption = [[p26 honey farm hassler]]<br /> |style = width:300px;<br /> |apgcode = xp26_ggy1ooy7ca23z0346xogy5g8gw4ka8z2a54w121y513xc4ozxo8a6y733y111<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p33===<br /> <br /> {{gallery top}}<br /> {{gallery item|<br /> {{EmbedViewer<br /> |pname = p33honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 17 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p33 (WHO, WHEN?) &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp33_yd252088rj8gzyhgw101owozyg334x16661wo66m8x2scy0o8zyt1w1y5go8aj213zye2egoy1oy0ooy44bb8fhc97066zylgg10ogi043y6321zyk1221zyi88o04aa4zy0ggcimggy46po2xsy1o8gz330fkhsf0661yi32z6426ioy0goy0gcwszy6112y0333xs33r4x1e6zyncgcoggzyp66x252<br /> }}}}<br /> {{gallery item|<br /> {{EmbedViewer<br /> |pname = p33honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 17 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p33, found by [[Nora Brown]] on November 4, 2022&lt;ref name=&quot;message1038262161480355971&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp33_y4ggwca23wggozy411y332z4s0gy57w66wo8gzw11w66wey732zxggkcy3oozx1y0c453<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p34===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p34honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 17 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 14 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p34 found by [[Nora Brown]] on November 17, {{year|2022}} &lt;ref name=&quot;message1042922946563416074&quot;/&gt; and reduced by iNoMed the following day. Two copies form the first-known [[Period-34 glider gun]].<br /> |style = width:300px;<br /> |apgcode = xp34_y1178426xc88gzg8e1lmy1484w3wez011da252xsiq4w247y3gggzyhe24w2543x4aklb88gzyh70gcw212y16a871zyk113x6421e8<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p34mod17honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 17 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 14 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p34 found by Nora Brown on July 6, 2023&lt;ref name=&quot;post163344&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp34_y5252y3oggzy7sy5230g8gy1ggzy0o4cx66y88po138w421zx11xg8cy9621xggzg84w2og3j2y8ccx643z011y11210o8y57zy9113y38k8<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p34honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 17 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p34 found by Nora Brown on July 27, 2023 &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp34_y732acy1ca23wggoy7oggw32acy1ca23zydo8gy132yb23y1g8oz2egoy4ggx643y54m2gxg2m4y5346xggy4oge2zy778dy6ccy13y13y1ccy6d87zwc453x8oy1o8y7g434x434gy2o8gw8oy1o8x354czy3311y3113y435c6y16c53y0g06511346y1113zyz6c4210c1gy166zyxgo474284s431zyrccy11g60g846czykoggy1c4oggkc01y0ok6cy1c6koy4oggy3ggozyf64kox23y132w123y214o4x4o41y723y132xok46zyos2my666y1oy1oy166y6m2szyd8e13y411xc4oy54d81x18d4y5o4cx11y431e8zyu321y1o8yb8oy1123zyoo8a6y16a8ow113y7311wo8a6y16a8o<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p37===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = cappedp37gun<br /> |viewerconfig = #C [[ GPS 19 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[Capped]] [[period-37 glider gun]]<br /> |style = width:300px;<br /> |apgcode = xp37_032acy2ca23zy2g8cogy7o8zy61y5321y4gz8e13y56co84y66511wok46zy78oy7eehmezy5311yhggozygggkcy432zyg1y4o88y5oge2zyig8o03631y0ggs636zyh23zyqo8a6y26a8o<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p39===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p39honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 20 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p39 found by [[iNoMed]] on May 15, {{year|2023}} based on a partial by [[Mitchell Riley]] &lt;ref name=&quot;post161541&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp39_y7gbdwck80uizy4gj20f9wccw1023z0g88b9kmk1y9g0s4z122dl1221y16iy311wo8z0311y669exggx321zy4gs26y43c3y58k46zy7o4cy323y1caakllia4zy611y3ggwggwc93146zy9628s0g9hwkn826zyb23w11w56<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = cappedp39glidergun<br /> |viewerconfig = #C [[ GPS 20 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 14 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = Capped variant of the [[p39 glider gun]] found by [[Caleb R. Hilton]] on July 26, {{year|2026}} (current reduced form of the oscillator by [[iNoMed]]) &lt;ref name=&quot;post232054&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp39_ckg88cieg84ow32acx33xok46zca2320juk0o123y1gg8ggz6ic88g122b06hy233433w4aklb88gzo5l58qj6o5d8jyb6a871z0d59cx344d54cy366<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p43===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = cappedp43glidergun<br /> |viewerconfig = #C [[ GPS 22 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[Capped]] [[period-43 glider gun]]<br /> |style = width:300px;<br /> |apgcode = xp43_w2egoy03pm0eik8y18k8z4s0gzw11xcujy8pf6xggzyo1074zy2252y1259e0djoy031e8<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p43honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 22 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 14 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p43 found by Nora Brown on November 18, 2022&lt;ref name=&quot;post153770&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp43_y532aczzyc2557x8k8amggzxggy524e42y2dlge21z8kngabgy142724zx65121xeaa4zzye354c<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p44===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 47, y = 45, rule = B3/S23<br /> 20b2o$19bobo4b2o$19bobob2o2bo$20bobobobo$22bobob2o$21b2o2bo2bo$20bobo<br /> 4bobo$20b2o2b2obo2bo$24b3o2b2o2$26bo$15b2o8b2o$14bo2bo6b2o$14b3o2b7o$<br /> 17b2o22b2o$16bo20bob3obo$4b2o10b2obo3bo13bo3bobo$3bob3obo11bo14bo2bobo<br /> b2o$3bobo3bo26bo3b2o3bo$2b2obobo2bo11b3o13bo3b2o2bo$5b2o3bo10bo3bo12bo<br /> b2o2b3o$2b3o3bo11bo5bo7bo2bo5bo$2bo2b2obo11bo5bo11bob2o2bo$3bo5bo2bo7b<br /> o5bo11bo3b3o$3o2b2obo12bo3bo10bo3b2o$o2b2o3bo13b3o11bo2bobob2o$bo3b2o<br /> 3bo26bo3bobo$2b2obobo2bo14bo11bob3obo$3bobo3bo13bo3bob2o10b2o$3bob3obo<br /> 20bo$4b2o22b2o$21b7o2b3o$21b2o6bo2bo$20b2o8b2o$20bo2$16b2o2b3o$16bo2bo<br /> b2o2b2o$17bobo4bobo$18bo2bo2b2o$19b2obobo$20bobobobo$19bo2b2obobo$19b<br /> 2o4bobo$25b2o!<br /> |viewerconfig = #C [[ GPS 22 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p44 honey farm hassler found by [[Mitchell Riley]] on January 8, {{year|2023}}, rephasing of a p28 &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp44_yf697o4s0qmzyg6436e3o61aczyacaakgosssoi93yaggzwgs2q084ooy132y622y26u1a8egn48gzggmaal1lsvy74rrr4y7v7lglaad11z124t1e2agfcy288y68oy133420b871zy011yaoi93777315aa6zyc6agc3oeco4czyfdb0743sic<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p44honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 22 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p44 honey farm hassler found by Carson Cheng on August 20, {{year|2023}} &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp44_y0ooy76a8o6pb88cz0ca22iaa4y712303156y0ccz8k80uuuy3ciwey625591156z0o801598gy6swicy3vvv04a4zw11dd11wo80g0ggy88kkiggkczy7d55k7o74koy766zya11<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p46===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p46honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 23 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 14 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = &quot;Tamale&quot;. For the base reaction, the partial was found by [[David Raucci]]&lt;ref name=&quot;post131670&quot; /&gt; and completed by [[Martin Grant]].&lt;ref name=&quot;post131687&quot; /&gt; Current form found by iNoMed on May 5, {{year|2022}}. It is also a [[lumps of muck]] hassler.<br /> |style = width:300px;<br /> |apgcode = xp46_c88gw32acy033zw11y2siq4y7ggowg8gzyk32xar0raa4zx4aar0rax8ozy2121w311y74b97y2ggzyjooy06a8ow1226<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p46honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 23 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p46 honey farm hassler; partial found by [[David Raucci]] and completed by [[Period1GliderGun]] on January 17, {{year|2023}}.&lt;ref name=&quot;post156098&quot; /&gt; Reduced by KtT on January 4, {{year|2026}}.&lt;ref name=&quot;post223575&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp46_y1c84c0ck871y6gycgzg0ggye6511y8c4o7o3qicz1101y135c53y333yc121y3ggzyw697y611zzy7ggy6siczy711y3g8gycooy3ok6koy1g0ggzyb69bo3s346y8ggkcye1101zyf1yc1y6gs25606426<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p46longbunhassler<br /> |viewerconfig = #C [[ GPS 23 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 STARTFROM 29 ]]<br /> |position = center<br /> |caption = p46 found by [[Mitchell Riley]] on April 12th, 2023. &lt;ref name=&quot;post&quot; /&gt; Also a [[long bun hassler]].<br /> |style = width:300px;<br /> |apgcode = xp46_y064kowccy7c871ggzxggwg88gy0ooy4643zx11x11y17zy8ovy08kk8wccz8e13ggy7ggwo8zw4701y711x113<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p46honeyfarmhassler3<br /> |viewerconfig = #C [[ GPS 23 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p46 found by [[Caleb R. Hilton]] on January 18, 2025 &lt;ref name=&quot;post201905&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp46_ya33y133zzy88oq0gg0gg0qo8zya131x131zyr66y24ep7yb66zyaccyj8s6oyboozyco80gxoo0o40og0gy411zyd101y0hcc4swt5hmczyk134d58o11p1soxc0kozooybs4ogy71y7ggzyerhyk11z33yb7431y233zyvgos6c808c6sogzyx2y32zzyx66y166<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p47===<br /> <br /> {{EmbedViewer<br /> |pname = p47honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 24 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p47 found by [[Mitchell Riley]] on July 12, {{year|2023}} &lt;ref name=&quot;post163582&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp47_y2c4o0e9jy2ca23zy1ca2t511y0ckk8y0o8bp6o8a6z4s0gy011yf343156zw11xe96ybciexggzckgo4oyfggy01074zwca23cjq23y02556y0ggkn8a6zy8o8a6y2pie0346<br /> }}<br /> <br /> ===p49===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p49honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 24 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p49 found by [[Nora Brown]] on July 19, {{year|2023}}&lt;ref name=&quot;message1131379019376496661&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp49_yag88e1e8x4s0ggxggz8p7gc4o79abp6o8h13033y114706221z122dl033wpjlm83my143334y2g88ehjzx11y16607871ybh0v0vg23zys11<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 61, y = 38, rule = B3/S23<br /> 23b2o3b2o$23bo4bo$24b3obo$19bo6bobob2o$19b3o6bo2bo$22bo5b2o$14bo6b2o$<br /> 10b2obobo$10b2obobo$3b2o8bob2o7bo$4bo5b4o3bo5bobo$3bo5bo4bob3o3bo3bo$<br /> 3b2o3bo2bob2o2bo4bo3bo$b2o3bobo4bob2o5bo3bo$o2b4obo2b2o2bo7bobo$bobo2b<br /> obo4bobo2b2o4bo$2o2bobob4ob2o4bo$2bob2obo4bo4bobob2o14b2o$2bo4bob2obo<br /> 4b2o2bo15bobo9b2ob2o4b2o$b2o4b2ob2o9bobo15bo2b2o4bob2obo4bo$22b2o14b2o<br /> bobo4bo4bob2obo$41bo4b2ob4obobo2b2o$36bo4b2o2bobo4bobo2bobo$35bobo7bo<br /> 2b2o2bob4o2bo$34bo3bo5b2obo4bobo3b2o$34bo3bo4bo2b2obo2bo3b2o$34bo3bo3b<br /> 3obo4bo5bo$35bobo5bo3b4o5bo$36bo7b2obo8b2o$45bobob2o$45bobob2o$38b2o6b<br /> o$31b2o5bo$29bo2bo6b3o$29b2obobo6bo$32bob3o$32bo4bo$31b2o3b2o!<br /> |viewerconfig = #C [[ GPS 24 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 9 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p49 found by [[Nora Brown]] on March 1, {{year|2024}}&lt;ref name=&quot;post179397&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp49_yfogg0354c0v18ozxggy1cc0s2sgy023y111zg88ml088wr55t2qdy2ea96z2js1643sjaqic3210c970s4gy9c4owggy0g8og8oy0o8zyi11y7ggg110741gs2u12q26hm1bchmazyu3423y2dq2t5lmy1dbzypog4s0gx6a8ox121011zyr4701156<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p51===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = 84p51<br /> |viewerconfig = #C [[ GPS 25 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = capped [[period-51 glider gun]], found by [[Nora Brown]] on November 2, {{year|2022}}&lt;ref name=&quot;post153007&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp51_y14a4y1ca23zwggy2gyfoge2z470h8ow25d52yfg0s4zw23wggyd4ara4w11oge2zy04701zyhc453y1252<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p51honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 25 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 14 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p51 found by Nora Brown on November 18, 2022&lt;ref name=&quot;post153808&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp51_y28kkm88bl4kozck8y2121346246zy46316y24a4woozz066w8k8y2o0gozy4o8go8g0h1y24aczy56a8al54raa4zy811<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 47, y = 43, rule = B3/S23<br /> 11bo2bo17b2o$11b4o18bo$9b2o4b2o13b3o$9bo2b2o3bo12b2o$10b3ob3o12b3o$14b<br /> o10b2obo$10b4o11bo4bo8b2o$9bo16bo3bo8bo$9b2obo2bo7b3o3bo10bo$13bo3bo5b<br /> o15b2o$5bo8b3o21bo$5b3o30b3o$8bo9bo8b2o12bo$7b2o8b4o5bo2bo10b2o$17b3o<br /> bo6bo$3b2o11b2o$2bo2bo9b3o2bo12b3o$2bob2o11b4o11bo3bo$b2o15b2o11bo5bo<br /> $o3b2o25bo5bo4b2o$b3o2bo4b3o17bo5bo2bo2bo$4b2obo2bo3bo17bo3bo2bob2o$3b<br /> o2bo2bo5bo17b3o4bo2b3o$3b2o4bo5bo25b2o3bo$9bo5bo11b2o15b2o$10bo3bo11b<br /> 4o11b2obo$11b3o12bo2b3o9bo2bo$29b2o11b2o$18bo6bob3o$5b2o10bo2bo5b4o8b<br /> 2o$5bo12b2o8bo9bo$6b3o30b3o$8bo21b3o8bo$6b2o15bo5bo3bo$6bo10bo3b3o7bo<br /> 2bob2o$7bo8bo3bo16bo$6b2o8bo4bo11b4o$18bob2o10bo$15b3o12b3ob3o$15b2o12b<br /> o3b2o2bo$14b3o13b2o4b2o$13bo18b4o$13b2o17bo2bo!<br /> |viewerconfig = #C [[ GPS 25 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p51 found in its original form by [[Matthias Merzenich]] on June 17, 2023 based on a partial by Nora Brown,&lt;ref name=&quot;post162734&quot; /&gt; reduced by [[James Pascua]] and [[iNoMed]] on February 12, {{year|2025}}&lt;ref name=&quot;post203772&quot;/&gt;, and [[Luka Okanishi]] on February 15 &lt;ref name=&quot;post204109&quot;/&gt;.<br /> |style = width:300px;<br /> |apgcode = xp51_y931aoy88kkjaqjkczy2qmy446725b8oy347062aczy1ca23wg88gyjca23zxggy31230g8gyakc8y1ml1e8gz8kk5aa52w1jg8w231y5cmay064w252ad11zw34530ggx11yeeik8y0ggzy16221ggy8oggy86aq1zy5haargf98gy365273pgy332zy511622611ya246<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p52===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p52honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 26 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p52, found by [[EvinZL]] on July 29, {{year|2022}} based on a partial by [[Luke Kiernan]]&lt;ref name=&quot;post148830&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp52_17842qcgwgy48kkoy5g88gzxcc155013yf4b0921zzy2o49gd2y3gggy5s80qao33zy311y61221y835421e8<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p52honeyfarmhassler3<br /> |viewerconfig = #C [[ GPS 26 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p52, found by Nora Brown on November 18, 2022&lt;ref name=&quot;message1042993460728311849&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp52_xggy133y04s0gz8kngabgy7121w66zx65121wciaey5o8gzy2ccyd32zzy24s0gy7gx33zy411y57543w8k8amggzy466w8k8gy7dlge21zyb32y0cc<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p52honeyfarmhassler4<br /> |viewerconfig = #C [[ GPS 26 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p52 sparker, found by David Raucci on August 17, 2023 based on a partial by Carson Cheng on the same day&lt;ref name=&quot;post165293&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp52_yj32q4wgy2gw4q23zy1db8oyfgs46w64sgyfo8bdzw6513y6e4ogy3qljy2jlqy3go4ey63156zxggw6igsx2742hgymgh2472xsgi6wggzw8p1y5ogw1074yi4701wgoy51p8z3110ca23y213yu31y232ac0113<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p54===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p54honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 27 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[Capped]] [[period-54 glider gun]]<br /> |style = width:300px;<br /> |apgcode = xp54_8oy6ca23wg88cz0123y74kc11zy4e0llgy2c4wdbgz8oy411y2gbagqbhi3z0123wss8w8ssw32ar0u2iv074z8e13y8315aa43<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p54honeyfarmandbhassler<br /> |viewerconfig = #C [[ GPS 27 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p54 honey farm / [[B-heptomino|B]] hassler, found by [[Luke Kiernan]] on October 31, {{year|2022}} &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp54_y232acxca23zxggxg84448gxggzx14fes72x27sef41zye8ozy74u24sw23gv1ooz8e13y51pozy5cc<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p55===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p55honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 28 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[Capped]] [[period-55 glider gun]]<br /> |style = width:300px;<br /> |apgcode = xp55_0rb8bp8ooxoo0o4cy0g88cz8kiraqartx6a0f52e80op1zkq2q0bmycggmi8gz4707871y2g88gy21ekg8pggzy28oy2323y5346221zy0311xc453<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p55hflomhassler<br /> |viewerconfig = #C [[ GPS 28 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p55, found by [[Period1GliderGun]] on January 28, {{year|2025}}.&lt;ref name=&quot;message1333636226720337920&quot;/&gt; Also a [[lumps of muck hassler]]. A dimer form also exists.&lt;ref name=&quot;post202567&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp55_0gw252x32acy133y333y1ca23x252wgz121w653y1cq2s8y98s2qcy1356w121z178cwg8ogy11yd1y1go8gwc871zggy012621yn12621y0ggz11yzy211zooyzy2oozy2o4mk8yn8km4oz8e13x11y1g8gybg8gy111x31e8z8k8w6acy135431y913453y1ca6w8k8zy04a4xc453y1ccy3ccy1354cx4a4<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p55honeyfarmhasslersparker<br /> |viewerconfig = #C [[ GPS 28 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p55, found by [[Period1GliderGun]] on March 3, {{year|2025}} based on a partial by [[David Raucci]].&lt;ref name=&quot;post226281&quot; /&gt; Can be used as a sparker in other oscillators.<br /> |style = width:300px;<br /> |apgcode = xp55_y1g8gx4s0gg39czx4abo3q8gndgjgrhd552z8oyfca2sgz0123y4go4ogw4a5lq221zy81221<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p56===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p56honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 28 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p56, found by [[Luke Kiernan]] on July 28, {{year|2022}}&lt;ref name=&quot;post148824&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp56_ybsssy8vv03333rrzss0ccccccy5777y5ddcccc0ffznngggg0vvyeg0oz111111011y02aggy27763y7ooo777zyb677y6oooy3111zwooo777y7goooy1132kgzw111y76021011yavv03333rrzy3ss0ccccccy5oooy5ddcccc0ffzy3nngggg0vvy5111eeezy3111111011<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p56c2honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 28 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p56, found by Carson Cheng on January 26, {{year|2023}}&lt;ref name=&quot;post156472&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp56_y540tckoz0ogo0g8ggx11501y7mh1996g22sz9qy1biy5gwckcxfgg3o4412q1z11210313y512421gy51111zy1c22iic044oxokq1052y44b23021eazy0u116g8834k3y8gy157840c4d2zy1110122221y720emqs0gzyq2<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p56honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 28 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p56, found by [[Period1GliderGun]] on March 10, {{year|2024}} based on a partial by David Raucci, found as a result of the [[p56 phi sparker]] being found&lt;ref name=&quot;post180023&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp56_y5g8o0356xcc27y0ggy3oge2z0ooy1qrxoggy57211x356zgo8gxg8ogy023y08gzw1be0eb1y4oo0s0dz246y1642zyj8ak4wok46zylgosogwc871zy9o4cy4136e631zy811yso8zyp8smnms8y4321zyk8e130gg131gzyn6221w2251zyzg0ggy2426y1624zyxr03011y2gg8t707t8ggzyy1y0ckggxhhy1hhzyigg06acxoo4ey710g0t5y111zyg4701y9e433x6ac011<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p57===<br /> <br /> {{EmbedViewer<br /> |pname = p57honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 29 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 5 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p57, found by [[May13]] on August 30, {{year|2023}}, based on a partial by [[David Raucci]] and a sparker by [[Period1GliderGun]]&lt;ref name=&quot;post166104&quot;/&gt;<br /> |style = width:300px;<br /> }}<br /> <br /> ===p58===<br /> <br /> {{EmbedViewer<br /> |pname = p58honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 29 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p58, found by [[Mitchell Riley]] on October 25, {{year|2023}} &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp58_y0ggw8k871zxg11y7sezgg3043wg88oy58cc4z1cr0rbx11y1ggy6ggozw121y6343y4252zy54aargbbg02994x33zyb11<br /> }}<br /> <br /> ===p59===<br /> {{EmbedViewer<br /> |rle = x = 50, y = 38, rule = B3/S23<br /> 33bo3b2o$32bobobob3o$32bobobo4bo$33bobobobobo$35bobob2o4b2o$23b2o9bobo<br /> 8bo$23b2o10bo7bobo$43b2o3$30bo$6bo16b3o3b3o$6b3o8b2obo2bo2bo5bo10bo$9b<br /> o7bob2o4b3o2b2obo10b2o$8b2o20bobobo8b2o$26bo3b3o2bo$27bo2bo2bobo3bo6b<br /> 2o$22bo6bo4bo3bobo5bo$21bobo4bo10b2o6b3o$21bo2bo24bo$22b2o3$11b3o22b2o<br /> $10bo3bo10b2obo7bo$9bo5bo9bob2o8b3o$9bo5bo23bo$2o7bo5bo$2o8bo3bo$11b3o<br /> 2$10bo10b2o$9bobo9b2o$5b2obobo$4bobobobobo$4bo4bobobo$5b3obobobo$7b2o<br /> 3bo!<br /> |viewerconfig = #C [[ GPS 29 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[Capped]] p59 glider gun, found by Nora Brown on July 13, 2023&lt;ref name=&quot;post163639&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp59_wggy133zcngabgxb1tgxggy1oge2z4aa5121y01g8g01457zy64rg087y4kczy166y6cia4x11y1oozy8dbzykccigcxg08kk8zy7gs26yc12ll2qczyqo801221zyegs26y5113<br /> }}<br /> <br /> ===p61===<br /> <br /> {{EmbedViewer<br /> |pname = cappedperiod61glidergun2023<br /> |viewerconfig = #C [[ GPS 31 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = Capped [[Period-61 glider gun (2023)|Period-61 glider gun]],&lt;ref name=&quot;j4069285462&quot;&gt;{{CiteCatagolueJob|job=4069285462|date=April 5, 2023}}&lt;/ref&gt; found by Mitchell Riley on April 5, {{year|2023}}<br /> |style = width:300px;<br /> }}<br /> <br /> ===p62===<br /> <br /> {{EmbedViewer<br /> |pname = p62honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 31 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p62, found by [[David Raucci]] on April 3, {{year|2022}}&lt;ref name=&quot;post143748&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp62_ycooy1eg223322gey1oozyl102201zycccy1o42011024oy1ccy133y333zyj1011j31101y686c8y38c68zw66y366y94errre4y69fy7f9zgcogy3gocgy9g1y91631y31361ziuy7uiy64errre4y9ccy3ccz2c62y326c2y6g0ggopgg0gzwooy3ooy166y13480gg0843y166zyng0880gzye33y1e188oo881ey133<br /> }}<br /> <br /> ===p63===<br /> <br /> {{EmbedViewer<br /> |pname = p63gun<br /> |rle = x = 37, y = 30, rule = B3/S23<br /> 11b2o$9b3o$4b2o2bo4bo$4bo3bob2ob3o$5b3obobo4bo$7bobo3b3o$7bobobobo$8b<br /> 2ob2o3$34b2o$28b2o4b2o$24b2ob2obo$23b4obob3o2$10b3o14b3obob4o$9bo3bo15b<br /> ob2ob2o$8bo5bo9b2o4b2o$8bo5bo9b2o$8bo5bo$9bo3bo$2b2o6b3o9b2o4bo$3bo17b<br /> obo4bobo$3o5b2o10b3o6bo2bo$o8bo10b2o5bobob3o$6b3o5b2o5b2o3b4o3b2o$6bo<br /> 7b2o6b3obobo5b2o$23bo2bo6b3o$25bobo4bobo$27bo4b2o!<br /> |viewerconfig = #C [[ GPS 31 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = Capped p63 gun, found by [[Period1GliderGun]] on Jan 31, {{year|2025}}, based on a dependent reflector loop by Nora Brown&lt;ref name=&quot;post202745&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp63_ooxsoy3pe4066z0g8e0lmcx13ce9n3c8z01rt030oow660279zx1zx66y1guey5g8e1e80gzy0o4cx301y5dlklb871zx110g8oyc346zy123<br /> }}<br /> <br /> ===p64===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p64honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 31 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p64, found by [[David Raucci]] on April 4, {{year|2022}}&lt;ref name=&quot;post143784&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp64_x3jx33xc8gwoozw230hhw13xjxooy8gggz33xpxogwhh0o8y7sss333z33w126xooxpoy4ggzyl110om20czzyp608d30ggzyv11y43jx33xc8gwoozynooo777y7230hhw13xjxoozyn111y833xpxogwhh0o8zyzx33w126xooxpo<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p64honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 32 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p64, found by Carson Cheng on October 12, {{year|2022}} &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp64_yb777ooozc48fhke0e9rooy1111ygoor9e0ekhf84cz06ikjchch034uy5gggycu430hchcjki6z4v04lra4ay0vy369dd2w8mmicy3vy0a4arl40v4z0c95p6h6h0o4fyc111y5f4o0h6h6p59cz642uh5e0eir33yggggy133rie0e5hu246zyt333sss<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p65===<br /> <br /> {{gallery top}}<br /> {{gallery item|<br /> {{EmbedViewer<br /> |pname = p65honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 33 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p65, found by [[Carson Cheng]] on January 17, {{year|2023}}&lt;ref name=&quot;post156095&quot; /&gt;. The period-5 pipsquirters were replaced with 38p5 once the latter was discovered<br /> |style = width:300px;<br /> |apgcode = xp65_yb32acy033zy1ggy1eyeg8gy6g8gzw62s3sjskoy1jphay4ggo01ximksm0g861zg8m1w63264wg8g1y6589cy1123cjs346z01y81yf7zyhccy1354c<br /> }}}}<br /> {{gallery item|<br /> {{EmbedViewer<br /> |pname = p65honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 33 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p65, found by [[Mitchell Riley]] on July 14, {{year|2023}}&lt;ref name=&quot;message1129425410103451738&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp65_y7gbdwck80uizy4gj20f9wccw1023wgz0g88b9kmk1y96511z122dl1221y5888gggz0311ya6bb8mmjy98k46zyucaakllia4zycc453y1ggwggwc93146zyf628s0g9hwkn826zyh23w11w56<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p66===<br /> <br /> {{EmbedViewer<br /> |pname = p66honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 33 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p66, found by [[Carson Cheng]] on May 23, {{year|2023}}&lt;ref name=&quot;post161894&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp66_yejbgzy933025401y7c0qisws2mzyh7y3oc3fny211zggy0ggy421137y4fo0on3zd87w746oroyg3r3c4sws2mzy3ot303uy4sogg8y411y011zggy2tuo63y3szd87w79b06y7g04k80oozyh1qp<br /> }}<br /> <br /> ===p69===<br /> <br /> {{EmbedViewer<br /> |pname = p69honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 35 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p69, found by iNoMed on July 28, {{year|2023}} based on a partial by Carson Cheng the same day &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp69_n8ggxggy3ggowckggz01iuw3ip8y1122695dioajoz4b7xpje0218ogycoge2zydeiczyk69ezy58e13yc132g80epjxsq4zyd3pa39mkic88gy12j9owf9gzyf1156w311y311x112t<br /> }}<br /> <br /> ===p71===<br /> <br /> {{EmbedViewer<br /> |pname = p71honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 36 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[p71 honey farm hassler]]<br /> |style = width:300px;<br /> |apgcode = xp71_y34s0gy439u0o4cz8oy311y5354t2acz0123y4cck88y111zx8oz0311yeca23zy688koozo80uigyd31e8z0phe0uby562sgzy1123<br /> }}<br /> <br /> ===p72===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p72honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 36 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p72, found by [[Luke Kiernan]] on August 23, {{year|2022}}&lt;ref name=&quot;post150068&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp72_ydgg0gg0j1e0uizydgjklgnll5iqahzyc12264222246221zydc88gyeg0s4y0gs2s0g88czyf11xgg8ggy2gx11y21u0v0t4tbw8ozym111y1ed2y63egmc1ehc55dz0mkk6heg6d1eoy68mey1gggz32wqn4n0v0fgy2ggx1y211211xggzy0622107871y04701ye1226zyqg88c488884c88gzyqhab9kllt1l5p1zyr9f0egp011011<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p72honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 36 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p72, found by [[Carson Cheng]] on October 13, {{year|2022}} &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp72_yb4en248gzye12731y6gs2ac0s2c88czyt1akr0v83l3156zyb33wgow11hy33egf0355dzy0mkko0u1eoy3hggw31woozckgolo2v0r5agz062268706a871y5g8sogzyf4et8421<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p73===<br /> <br /> {{EmbedViewer<br /> |pname = p73honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 37 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 14 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p73, found by [[Mitchell Riley]] on March 2, {{year|2023}} &lt;ref name=&quot;post158494&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp73_y132acyboozyc8y7gzxo4cy56431y1gc4no3qiczg8p1o80g8yeg0s4z12268711y246h3y511zy3ooybggzyk1226<br /> }}<br /> <br /> ===p74===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p74honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 37 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 14 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p74, originally supported by two p37 sparkers. Found by [[David Raucci]] on June 4, {{year|2021}}&lt;ref name=&quot;post131492&quot; /&gt; and reduced by Mitchell Riley on July 12, {{year|2023}}.<br /> |style = width:300px;<br /> |apgcode = xp74_w8eh5q8imggycg8ozy012101w1ybqb8ozoggy04qcy9cm8x1226zw65kmyhgzw643yc32qj4n83s4zyn11<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = cappedp74gun<br /> |viewerconfig = #C [[ GPS 37 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = Capped p74 glider gun, found by [[Nora Brown]] on November 18, {{year|2022}} &lt;ref name=&quot;post153747&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp74_ybc88gy3c871xo8zy8o4ko011y66is0qb8ozy6255kaak8ybooy1g8gzy1qmxoo011y2oyb6icjc1d96z0ggma26ya5cy3g0gggy01y4ooz01yhciicw11z66y9222031y2c8yaogkq23zy0o4c0cidioyb7y566xqmzy111343y166yb4aklb88gzy962460ui8gy86a871zyh32y166<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = period74glidergun20240829<br /> |viewerconfig = #C [[ GPS 37 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = Capped p74 glider gun, found by [[Mitchell Riley]] on August 29, {{year|2024}} &lt;ref name=&quot;post193166&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp74_yi33y1ggzy62egoy9gbagf033zxgg0si6y686668w1215aa6z4s3on0qmzw12is346yoo8zyu39u1aq4ozy7ggy2gxgy7bq0f8611zy63ialka4x333y2o8gw321zy466078a6yc32zyac453y2ckggzyn1<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p75===<br /> <br /> {{EmbedViewer<br /> |pname = p75honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 38 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p75 found by [[Carson Cheng]] on May 26, {{year|2023}} &lt;ref name=&quot;post161994&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp75_wggy933y88ozck5iaq4oyegs2d5pia6zwh32m0djy4g8gy2pm0rhhozw11d5871y531y33426zy18kkm2sgy2ocgy4oe1qb8ozy1go8d0mpy31y5cr0m4s8gzx65k9ab43yf1255kq23zy111y8cc<br /> }}<br /> <br /> ===p77===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p77honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 39 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p77 found by [[Carson Cheng]] on November 2, {{year|2022}}. &lt;ref name=&quot;post&quot; /&gt; A temporary [[paperclip]] forms in the center.<br /> |style = width:300px;<br /> |apgcode = xp77_yc8k4mi4401e6zooxgooy4ot0188ir8b40ggozf3ao982i3aouy21y2g032zy0331x33y76b872zygg88gzyf13431y7vf8042bbc80ozycc453g88c48802scy01013dd4201ffzyggr03hg4mgm8zyg112x11<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p77honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 39 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 650 ]]<br /> |position = center<br /> |caption = p77 found by iNoMed on August 28, {{year|2023}} based on a partial by Mitchell Riley &lt;ref name=&quot;post&quot; /&gt;<br /> |apgcode = xp77_y7ckgoi6yac871xc4owggzy9cia4yidlkn89gzo08cbb2408fvy9oggy947011y0oogxoozff1024dd3101xggy31211w66d2y8uoa3i289oa3fzy86a8nkkoyig84o033x133zy96430eioy0g8oyag5d4kozyj23yc11<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p79===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p79honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 40 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p79 found by [[Mitchell Riley]] on May 22, {{year|2026}}.&lt;ref name=&quot;post228952&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp79_yi33zy9178cy833y1g0s4zy4gyacuig8cmea4xhhzy1g89a9owgs26ye3421o81v04a4z4a40vg23g84oyec871w3iai21zy5hhx4aed6219f6ya1zy34701y1ooy862sgzyjoo<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p80===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p80honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 40 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p80 found by [[iNoMed]] on May 4, {{year|2023}} based on a partial by [[Mitchell Riley]] &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp80_y4o4k6heg8oy3gzy51101252y16511x33x6a4zy366y5gg8gz2egoy932321g8o8oy931e8zyi1211y5cczy44acxooxggkcy18k8g0ggzyf1y3321ehc543<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p80honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 40 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p80 found by [[Nora Brown]] on May 16, {{year|2023}} &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp80_y532aczy9653zy766y2mq0c4ozy5g88gy21amhehi3zy6131gggy2343zggye4a4wooz11w252y0gggz0gs2sgy4oc8gzc4o786loy311zw123056y266zy7ca6zya354c<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p80honeyfarmhassler3<br /> |viewerconfig = #C [[ GPS 40 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p80 found by [[Caleb R. Hilton]] on December 23, {{year|2024}}. &lt;ref name=&quot;post200290&quot; /&gt; Also a [[century hassler]].<br /> |style = width:300px;<br /> |apgcode = xp80_y2g025606520gzy134csie0eisc43zzyw3bg2kgzggy28k8y3ppkocyd11z1581qoxceey310gy2g8keezy6ccxcimg6p69cy01221zye121<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p83===<br /> <br /> {{EmbedViewer<br /> |pname = p83honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 42 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p83 found by Nora Brown&lt;ref name=&quot;message1043009264182112276&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp83_xggy133xccz8kngabgyaca23y3ggzx65121w4aheye11zywgzybooye7852w8k8amggzykc453ybdlge21zys33xcc<br /> }}<br /> <br /> ===p84===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p84honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 42 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[p84 honey farm hassler]]<br /> |style = width:300px;<br /> |apgcode = xp84_8oymca23z0123ya4995zy9kii4yao8gzxo8a6ym32<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p84honeyfarmdiagonalflipper<br /> |viewerconfig = #C [[ GPS 42 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p84 found by [[EvinZL]] on January 14, {{year|2023}} based on a partial by David Raucci&lt;ref name=&quot;post155929&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp84_yz33zyzyaccb7w66zylgg2u0m6oxg844cy966woggzym34bao443x1223y3m22k8w6p182u1e8y9gzytjjgy8111y233032xccy1gs2d5l4kmzyo33w7611yiggy066qswccw3442211zyegyx643ycsi1isy6oozy2ccy1gs2d5l4kmy3oggycoo4gzy166qswccw3442211y523y8225cg2vyfs404szycsi1isyfs04ogyn12hgxoowscggzyz07hcc211y8354cy3mmhlgo3s4y1pp1zccy6s404sydggyu1w6221zy912hgxoowscggy04701yiggzy7mmhlgo3s4y1pp1yo6653w33zy71w6221y68o1v0b3cgw8k22my933ggc88gzyp1255c22hgx111y3rhha4w3cgk1v074zyrggwg9poyh11011zyr11w33zyzy833<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p90===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p90honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 45 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p90, found by [[Luke Kiernan]] on July 29, {{year|2022}}&lt;ref name=&quot;post148837&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp90_yb4r4zo444k8gy44r4z01w8hgfy2o8y2uquzy81101y2fbfzy62562zzy8go8gz0sksy61z0vnvy25611y0s224zy48m8y3125a8896zy48n8zy51<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p90honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 45 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p90, found by [[Luke Kiernan]] on August 27, {{year|2022}}&lt;ref name=&quot;post150280&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp90_474y728882xuquz1v1y782228xfbfz9p9y0ccz01ybo8gzx8kmq73y288c403gggzy3cg2j11y2ce5621zy511ybozyf33y09p9zxvtvx14441y78f8zx757x41114y72e2<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p91===<br /> <br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p91honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 46 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p91, found by Nora Brown on November 18, 2022&lt;ref name=&quot;post153808&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp91_y0g0s2m0dry7oge2y3ggzy019o7ob5y0m6y74aar4kla2acz0oggw121y23yc10123123zx23yj111033zy2oo0gggyjo8zo8go8g0gycoy2g8gw113z06a8al54raa4y7cdy0kq3s3igzy011y38e13y7rm0d8701<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = cappedp91gun<br /> |viewerconfig = #C [[ GPS 48 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p91 gun, found by Nora Brown on November 27, 2023&lt;ref name=&quot;post172049&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp91_yfgy2c9b8o696zyf1156x33x56zy5gy1c88gycoozy51156y011y3cca44wggzyt1074zw178cyl31e8z2egozggy022533y3o8y06a8oz11yd113zy06agwccx6a8ozx69611d93<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p95===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p95honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 48 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p95, found by [[Mitchell Riley]] on May 23, {{year|2026}}&lt;ref name=&quot;post228975&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp95_y2ggwggw6a8o0o4pb8oy2gy3ggozg08o0ol68nk9y41y36511y232y3ok46z11074ybggggzy266y734321y6cae96y733zy58oyvg88g08o1vg4czy3311y2o8a6y2c453xoggo4o0oggxc970bdzyv641y023<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p96===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p96honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 48 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p96, found by [[Luke Kiernan]] on August 30, {{year|2022}} &lt;ref name=&quot;post150329&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp96_ycg842ne4y54en248gz8m46042sky213721yb12731y2ks24064m8zaeg80o8q4yx4q8o08geazyceeh0heey5eeh0heezzyhggk0gxg0kggzye40n653y3356n04<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p96honeyfarmhassler3<br /> |viewerconfig = #C [[ GPS 48 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p96, found by Carson Cheng on January 26, {{year|2023}}&lt;ref name=&quot;post156472&quot; /&gt;. Also a [[Pre-pulsar hassler]].<br /> |style = width:300px;<br /> |apgcode = xp96_y4ccyaqr10330jmzy369248y86c0cc08d5zwgy13201z258h248gy4skk8zy0121zyb8kksy44ah248gzyq12421zwgo80oo0ogy8ag1bgzwm6y1cdyapq1zw130330231<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p96honeyfarmrpentominohassler<br /> |viewerconfig = #C [[ GPS 48 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p96, found by Caleb R. Hilton on March 14, {{year|2025}} &lt;ref name=&quot;post206845&quot; /&gt;. Also an [[R-pentomino hasslers#p96|R-pentomino hassler]].<br /> |style = width:300px;<br /> |apgcode = xp96_y7s22t3wg8gzy7o55txdl8y9cczy0gxgw12256y9ccwsq66zg8g1230321g8gz1244970794421y1edheezyfss2csy2g884o0o488gzyh11y23420hh0hh0243zy1oomewccy9o8ggw1210121zy2ccy94acxf887zyh253wgfhhezym11<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p97===<br /> <br /> {{EmbedViewer<br /> |pname = p97honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 49 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p97 found by [[Nora Brown]] on December 7, {{year|2023}}. Uses the [[odd traffic stop]]&lt;ref name=&quot;post172728&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp97_yuc88gy139e0o4czy6o80g8oy2888y6ghhxggg355t2aczy0og4s0ca34ba4ya4b6y2exo8g11zy3320ggyt32zy0ggy011yn330ggzy1346xsy2ok8ya8kk8gkc0f826zckgf98g222x222x1y2444y2643056z0c871t5gy1354czy211<br /> }}<br /> <br /> ===p100===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p100honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p100 honey farm hassler, found by David Raucci and reduced by James Pascua&lt;ref name=&quot;post133303&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp100_y0c93gg0g8g0gg39cz0255d9d034707430d9d552zcieg8oy5gydg8ozxvusy28g31y54oy21ipu13z0c87p4oy212y5oc01y2j7v0gzy011yo110743zye4aab9bgs2u0u2sgb9baa4zyh39cy01y0c93<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p100honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p100, found by [[Luke Kiernan]] on July 28, {{year|2022}},&lt;ref name=&quot;post148823&quot; /&gt; and reduced by [[Period1GliderGun]].&lt;ref name=&quot;post236411&quot;/&gt; Also a [[Pulsar]] hassler.<br /> |style = width:300px;<br /> |apgcode = xp100_yfjpuwupjzy9252y11w1ymggzycgooogyo643zyb1266621y54arrra4z8e13zym8oswso8x252zym643w346<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p102===<br /> <br /> {{EmbedViewer<br /> |pname = p102honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p102 found by Nora Brown on November 18, {{year|2022}}&lt;ref name=&quot;post153770&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp102_y032acy5ok46y6gz0ccykc4o7o3qicz0ooykg121y3ggzggy4cimk8y625d96y411z11y3g8g1yk33zy069bo3s346yk66zy41y6c453y56a8o<br /> }}<br /> <br /> ===p105===<br /> <br /> {{EmbedViewer<br /> |pname = p105honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p105, found by Nora Brown on July 26, {{year|2025}}&lt;ref name=&quot;post215124&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp105_y68cec8x178cy2356zzy613731y08ggzy3ccy188y0110c03vuy34evy2ve4zzzzz4evy2ve4y3fvo060ggy022y166zyl112y0gosogzzycckoy262sgx26e62<br /> }}<br /> <br /> ===p106===<br /> <br /> {{EmbedViewer<br /> |pname = p106almostglidergun<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 HEIGHT 600 WIDTH 600 STARTFROM 84 ]]<br /> |position = center<br /> |caption = p106, found by [[David Raucci]] on July 3, {{year|2023}} as a result of the [[Pi-heptomino_hasslers#p53|p53 sparker]] being found &lt;ref name=&quot;post163279&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp106_x8oykca23zckjacxooo8kk8xc4oozc48f1c88cwgy23211y462sgzxggw39d11y9o8b9czy0346y4oo4cy0gg0ggj1138fhi3zyb1123x1221111xj5c23zy0c453yk11zy18ozy21230ocgykca23zy12egoy5gogy3ozye12d2y116d6y5c4ozy68oyk4ocx11zy4311yp31e8zyzxggozyaoi6yk32zy8354qbx6662552xrheey4ggzy83123032qb88cybo801074zyb4s0g023yb622qb8o0o8gozyd11y4eehrx8kk8cccxqb4kozye8oykc93zyc311<br /> }}<br /> <br /> ===p108===<br /> <br /> {{EmbedViewer<br /> |pname = p108honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p108, found by Nora Brown on November 3, {{year|2022}} and reduced by David Raucci two days later &lt;ref name=&quot;post&quot; /&gt;. Later reduced further by [[Period1GliderGun]] on December 13, {{year|2023}} &lt;ref name=&quot;post173213&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp108_y5c88baq4oz0ggs2sgw33077861164koxok46z1226066zygg8gy2sgsy5ooz33y5717y2121zywcc0c88gzyac453x354cggc2ss0oow178711zym34baq226<br /> }}<br /> <br /> ===p111===<br /> <br /> {{EmbedViewer<br /> |pname = p111rpentominohassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 STARTFROM 31 ]]<br /> |position = center<br /> |caption = [[p111 R-pentomino hassler]], found by Mitchell Riley on September 16, {{year|2022}}.&lt;ref name=&quot;post151084&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp111_y2ccx64koy06a8o6pb88cy3g8k80gzxg4q2s0gy812303156x255dial543w66zw125s3s521y1oc8yf1y1oge2zy2hgym2e4y5ggzo81vgnk1yuokkn89gz0phe221yuoie0f811zxggy3274ydgy4g8gz04701y0g8gye131y18kajcjak8zw66wciaal4raa4x6a8c0s4oy3ggy13452zy5121y4311d961156y01226x33<br /> }}<br /> <br /> ===p113===<br /> <br /> {{EmbedViewer<br /> |pname = p113honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 5 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p113, found by Period1GliderGun, based on a partial by Mitchell Riley.&lt;ref name=&quot;message1206816840542724127&quot;/&gt; Also a [[lumps of muck hassler]].<br /> |style = width:300px;<br /> |apgcode = xp113_x178czybggzw33y6745oo4oy566y066zgs26y8cc01y6330oozy9ggy0jjy5ciccgggzy911y011y9643y633zzyj4s0gzyeg88e1f811wcogy9amggzya64ko0113033y1473rsy91zyoqsoy6253zy8ok8y637bzy3gy97ros4y1oo0ogg0354czy311day9136wgg2uge221zyp1074zzy3ooy6o4cy9ggy0ggzyf1116696y5ppy011zyh330ooy6g066y8c871zyeccy0ccy53433k4sy6oozyz11zyzy662sg<br /> }}<br /> <br /> ===p117===<br /> <br /> {{EmbedViewer<br /> |pname = p117honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = [[Capped]] [[period-117 glider gun]]<br /> |style = width:300px;<br /> |apgcode = xp117_w32acyd8eh6o8z4s0gy533y2or45t243zw11weeheey76hld2pmz33yi343zxgzkc3on4gy7oo4ooy033z1i1uiidcy611211w62sgzbch6q83y333y3o8zw121yf113<br /> }}<br /> <br /> ===p120===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p120honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p120, found by [[Luke Kiernan]] on August 23, {{year|2022}}&lt;ref name=&quot;post150068&quot; /&gt;. Also a [[B-heptomino hassler]] and [[Pre-pulsar hassler]].<br /> |style = width:300px;<br /> |apgcode = xp120_yf2hqy4qh2zy32egoy537133w33173y5oge2z66625ak8yw8ka52666zy177y42dluyauld2y477zzy1ssy48mlfyaflm8y4sszccc8ka52yw25ak8ccczy38e13y5osgoowoogsoy531e8zyf8hby4bh8<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p120honeyfarmhassler2<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p120, found by [[Mitchell Riley]] on January 13, {{year|2023}}. Originally stabilized with 8 copies of [[Kok's galaxy]].&lt;ref name=&quot;post155901&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp120_ydvtvygsszyd757ybccc8ka52zwccc4ak8gyfocgky0gzy3efy12hh0ogy6117br8w3y3sksssskszy8aomf321zyzggzggggggggy7gyago4sv615z32333323y3cg01dduo8gy610884y0gfnzyagy22031yg1252333zy74ql21333ybuquzy833ygfbf<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p120honeyfarmhassler3<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p120, found by [[David Raucci]] (WHEN?) &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp120_xdby5bdwdby5bdz651326u21312u62311326u21312u623156zx65157cec75156w65157cec75156zxggy0gkgx4aa4xgkgzw34a9gayeokczyook46zyl8ggzylppy4g0s4zypcicx1hgkczyhsksy8pi6zyhvnv<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p120honeyfarmhassler4<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 7 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p120, found by [[Caleb R. Hilton]] on November 29, {{year|2024}} and reduced by [[iNoMed]] &lt;ref name=&quot;post&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp120_ooyo8y6ok46y2gg33zy5gwooy780edb701y5g888gy011w66zoo07e4w137yc1ya448807y8oozy8ooyaggyzgwoozym78ggh9y8ggk0gy7oo07e4w137zyd33wccy48oy440n653yloozyf66y4311<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p120honeyfarmwinghassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p120, found by [[KtT]] on February 14, {{year|2026}} as a reduction of an earlier known oscillator.&lt;ref name=&quot;post225397&quot;/&gt; Also a [[wing hassler]].<br /> |style = width:300px;<br /> |apgcode = xp120_y5s212sx4s4zy578g87x474ye6i0i952066zyzy2o4k80gwgzwgbd0u1e8gy4ggy7o43vree4xu110bs1l5p1zgjklg7q0ggfx4eervo43y711y412egf0mq1z1w102543zy2cc08ki909cye4s4xs212szyu474x78g87<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p128===<br /> <br /> {{EmbedViewer<br /> |pname = p128honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p128, found by [[Luke Kiernan]] on August 23, {{year|2022}}&lt;ref name=&quot;post150068&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp128_s22t3wg8gyfg8gw3t22szo55txdl8yf8ldxt55oz12256yp65221zy74qisy5siq4zzy78miey5eim8z0gg8oypo8ggz788fxca4yf4acxf887zehhfgw352yf253wgfhhezx11yp11<br /> }}<br /> <br /> ===p130===<br /> <br /> {{EmbedViewer<br /> |pname = p130honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p130, found by Carson Cheng on January 26, {{year|2023}}&lt;ref name=&quot;post156472&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp130_gwg08k4oybca23z1p5llsb0lby6g84oyag88czw1qm0fge3y7121ya11zycggyag8gy7oe1u0dbgzya6221ya3421y6ql0q7llkjgzyoo8a6yb345201w1<br /> }}<br /> <br /> ===p135===<br /> <br /> {{EmbedViewer<br /> |pname = p135hfcenturyhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p135, found by [[Caleb R. Hilton]] on March 15, {{year|2025}}.&lt;ref name=&quot;post206963&quot;/&gt; Also a [[century hassler]].<br /> |style = width:300px;<br /> |apgcode = xp135_yjgbgz8e8y1ggy9iiiz2u2x64543y82k2y0e44e0ee0e44ezijix31d96y91yggg0g8k4o0uiz03yzy09kll4j6j4lkiczy8rheeybe9d2y91101011zypgc4sybss2mzy2ciab9ipi9baa4y711ye11y6gzy4iv078b43123yuo4c0gxijizyis88s0ss0s88sy0gbgy8g999pxgvgzyyiiiy8123y14s4zyy2k2zyz1<br /> }}<br /> <br /> ===p143===<br /> <br /> {{EmbedViewer<br /> |pname = p143honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p143, found by Nora Brown on November 23, {{year|2022}}. &lt;ref name=&quot;post154024&quot;/&gt; Can be modified into a 1- or 2-barreled gun by replacing the [[block]]s next to the [[chucklebait]]s with [[fishhook]]s.&lt;ref name=&quot;message1044829084049494036&quot;/&gt;<br /> |style = width:300px;<br /> |apgcode = xp143_y0o4k6heg8oycok46yigzy11101252ys178cy06511z33y48mhd2ym66ya33y0gzy0o8gyzyc123zy11y0ooyaccym8mhd2y4oozy9ggkcy062sgys8k8g0ggzy91yic453yc321ehc543<br /> }}<br /> <br /> ===p144===<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p144honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 6 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p144 honey farm hassler, found by [[KtT]] on July 7, {{year|2026}}, completing a partial by [[David Raucci]].&lt;ref name=&quot;post230996&quot;/&gt; Also a [[B-heptomino hassler]]<br /> |style = width:300px;<br /> |apgcode = xp144_gjjyzyzy0jjgz1pke6wccw3yzyl3wccw6ekp1zyogjjymjjgz0ckggy18kk8ya1167w33yc33w7611ya8kk8y1ggkczwmq1w66w1y7o0s53y5ggoy4oggy535s0oy71w66w1qmzyw748416e44e614847zybg8c6mlh28yz082hlm6c8gzy4ccy213111y3c48c4og8gyag8go4c84cy311131y2ccz0o8g0cswooy3oge2c84cx354lq22d552y4255d22ql453xc48c2egoy3oowsc0g8ozw133yzyz331<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ===p147===<br /> <br /> {{EmbedViewer<br /> |pname = p147honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p147 honey farm hassler, found by David Raucci on July 16, {{year|2021}} &lt;ref name=&quot;post133648&quot; /&gt; and reduced by various people the same day. Also a [[pre-pulsar shuttle|pre-pulsar]] and [[Lumps of muck hassler]]<br /> |style = width:300px;<br /> |apgcode = xp147_y52eg8p7o4og88cggo4o7p8ge2zy5ccwed1eia6116aie1dewcczwck8ys8kczok8yw8kozye77w77zggyceeweeycggz121gyug121zw321y8gy2gy8123zy533g0nbo7kl688mlk7obn0g33zy547019e1210113w121e91074<br /> }}<br /> <br /> ===p182===<br /> <br /> {{EmbedViewer<br /> |pname = p182honeyfarmhassler<br /> |viewerconfig = #C [[ GPS 60 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |position = center<br /> |caption = p182 honey farm hassler, found by Luke Kiernan on August 9, 2023, from a partial by Mitchell Riley&lt;ref name=&quot;post164783&quot; /&gt;<br /> |style = width:300px;<br /> |apgcode = xp182_x32aczyzyagzyeccy133ydca2rp7ggb45zyz033waidwe9d453zyo4b6ygc871zgs26ygcq4zok4miewm9awoozk4q11sjr8a6ydooy166z01zyzy56a8o<br /> }}<br /> <br /> ==See also==<br /> * {{CategoryLink|Oscillators with specific hassled object}}<br /> <br /> ==Notes==<br /> &lt;references group=&quot;note&quot; /&gt;<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post131578&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 131578<br /> |author = David Raucci<br /> |date = June 4, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post140840&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: JP21's Isolated Sandbox Thread<br /> |p = 140840<br /> |author = James Pascua<br /> |date = January 27, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post204109&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 204109<br /> |author = Luka Okanishi<br /> |date = February 15, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post158494&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 158494<br /> |author = InoMed<br /> |date = March 2, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post161541&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 161541<br /> |author = InoMed<br /> |date = May 15, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post164529&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 164529<br /> |author = Carson Cheng<br /> |date = August 2, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post131670&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 131670<br /> |author = David Raucci<br /> |date = June 8, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post173213&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 173213<br /> |author = Period1GliderGun<br /> |date = December 13, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post23226&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Q&amp;A for ptbsearch<br /> |p = 23226<br /> |author = Dongook Lee<br /> |date = October 3, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post131670&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 131670<br /> |author = David Raucci<br /> |date = June 8, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post131687&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 131687<br /> |author = Martin Grant<br /> |date = June 8, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post131492&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 131492<br /> |author = David Raucci<br /> |date = June 4, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post133303&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 133303<br /> |author = David Raucci<br /> |date = July 9, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post201905&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 201905<br /> |author = Caleb R. Hilton<br /> |date = January 18, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post163582&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 163582<br /> |author = David Raucci<br /> |date = July 12, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post161994&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 161994<br /> |author = David Raucci<br /> |date = May 26, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post200290&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 200290<br /> |author = Caleb R. Hilton<br /> |date = December 23, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post133648&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 133648<br /> |author = David Raucci<br /> |date = July 16, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post139611&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 139611<br /> |author = James Pascua<br /> |date = January 1, 2022 &lt;!--UTC--&gt;<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post139890&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 139890<br /> |author = James Pascua<br /> |date = January 7, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post143748&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 143748<br /> |author = David Raucci<br /> |date = April 3, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post143784&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 143784<br /> |author = David Raucci<br /> |date = April 4, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post148830&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 148830<br /> |author = EvinZL<br /> |date = July 29, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post148824&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 148824<br /> |author = carsoncheng &lt;!--poster and discoverer are two different people--&gt;<br /> |date = July 28, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post148837&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 148837<br /> |author = Luke Kiernan<br /> |date = July 29, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post148823&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 148823<br /> |author = iNoMed &lt;!--poster and discoverer are two different people--&gt;<br /> |date = July 28, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post150068&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 150068<br /> |author = Anivec<br /> |date = August 23, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post150280&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 150280<br /> |author = David Raucci<br /> |date = August 28, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post151084&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 151084<br /> |author = David Raucci<br /> |date = September 16, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post151274&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 151274<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Nora Brown<br /> |date = September 22, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post153007&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 153007<br /> |author = Nora Brown<br /> |date = November 3, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1042922946563416074&quot;&gt;{{CiteDiscord<br /> |author = Nora Brown<br /> |date = November 18, 2022<br /> |channel = cgol<br /> |id = 1042922946563416074<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1042993460728311849&quot;&gt;{{CiteDiscord<br /> |author = Nora Brown<br /> |date = November 18, 2022<br /> |channel = cgol<br /> |id = 1042993460728311849<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1043009264182112276&quot;&gt;{{CiteDiscord<br /> |author = Nora Brown<br /> |date = November 18, 2022<br /> |channel = cgol<br /> |id = 1043009264182112276<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post153770&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 153770<br /> |author = Nora Brown<br /> |date = November 18, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post153808&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 153808<br /> |author = Nora Brown<br /> |date = November 18, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1044829084049494036&quot;&gt;{{CiteDiscord<br /> |author = Nora Brown<br /> |date = November 23, 2022<br /> |channel = cgol<br /> |id = 1044829084049494036<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post154024&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 154024<br /> |author = Nora Brown<br /> |date = November 23, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post155901&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 155901<br /> |author = David Raucci<br /> |date = January 13, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post155929&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 155929<br /> |author = EvinZL<br /> |date = January 14, 2023 &lt;!--UTC--&gt;<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post156095&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 156095<br /> |author = Carson Cheng<br /> |date = January 17, 2023 &lt;!--UTC--&gt;<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post156098&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 156098<br /> |author = Period1GliderGun<br /> |date = January 17, 2023 &lt;!--UTC--&gt;<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post156472&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 156472<br /> |author = Carson Cheng<br /> |date = January 26, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post181639&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 181639<br /> |author = Matthias Merzenich<br /> |date = April 1, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post161894&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 161894<br /> |author = Carson Cheng<br /> |date = May 23, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post162734&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 162734<br /> |author = Matthias Merzenich<br /> |date = June 17, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post163344&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 163344<br /> |author = Nora Brown<br /> |date = July 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post163639&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 163639<br /> |author = Nora Brown<br /> |date = July 13, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1129425410103451738&quot;&gt;{{CiteDiscord<br /> |author = Mitchell Riley<br /> |date = July 14, 2023<br /> |channel = cgol<br /> |id = 1129425410103451738<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1131379019376496661&quot;&gt;{{CiteDiscord<br /> |author = Nora Brown<br /> |date = July 19, 2023<br /> |channel = cgol<br /> |id = 1131379019376496661<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post164783&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 164783<br /> |author = Luke Kiernan<br /> |date = August 9, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post150329&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 150329<br /> |author = yoleo<br /> |date = August 29, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post165293&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 165293<br /> |author = Carson Cheng<br /> |date = August 18, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1038262161480355971&quot;&gt;{{CiteDiscord<br /> |author = Nora Brown<br /> |date = November 4, 2022<br /> |channel = cgol<br /> |id = 1038262161480355971<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post166104&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 166104<br /> |author = May13<br /> |date = August 30, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172049&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 172049<br /> |author = Anivec<br /> |date = November 27, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172728&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 172728<br /> |author = Anivec<br /> |date = December 7, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1206816840542724127&quot;&gt;{{CiteDiscord<br /> |author = Period1GliderGun<br /> |date = February 13, 2024<br /> |channel = cgol<br /> |id = 1206816840542724127<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post179397&quot;&gt;<br /> {{LinkForumThread<br /> |format = ref<br /> |p = 179397<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Nora Brown<br /> |date = February 23, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post180023&quot;&gt;<br /> {{LinkForumThread<br /> |format = ref<br /> |p = 180023<br /> |title = Re: Oscillator Discussion Thread<br /> |author = David Raucci<br /> |date = March 10, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post191010&quot;&gt;<br /> {{LinkForumThread<br /> |format = ref<br /> |p = 191010<br /> |title = Re: Oscillator Discussion Thread<br /> |author = hotcrystal0<br /> |date = July 31, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message1333636226720337920&quot;&gt;{{CiteDiscord<br /> |author = Period1GliderGun<br /> |date = January 28, 2025<br /> |channel = cgol<br /> |id = 1333636226720337920<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post202567&quot;&gt;<br /> {{LinkForumThread<br /> |format = ref<br /> |p = 202567<br /> |title = Re: Oscillator Discussion Thread<br /> |author = hotcrystal0<br /> |date = January 28, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post202745&quot;&gt;<br /> {{LinkForumThread<br /> |format = ref<br /> |p = 202745<br /> |title = Re: Gun Discussion Thread<br /> |author = Period1GliderGun<br /> |date = January 31, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203754&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 203754<br /> |title = Re: Oscillator Discussion Thread<br /> |author = James Pascua<br /> |date = February 12, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203772&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 203772<br /> |title = Re: Oscillator Discussion Thread<br /> |author = iNoMed<br /> |date = February 12, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post206845&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 206845<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Caleb R. Hilton<br /> |date = March 14, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post232054&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 232054<br /> |title = Re: Oscillator Discussion Thread<br /> |author = iNoMed<br /> |date = July 27, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post209199&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 209199<br /> |title = Re: What it is like to be a hassler?<br /> |author = Daniel Vargas<br /> |date = April 3, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=post206496&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 206496<br /> |title = Re: Oscillator Discussion Thread<br /> |author = hotcrystal0<br /> |date = March 10, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post206963&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 206963<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Caleb R. Hilton<br /> |date = March 15, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post215124&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 215124<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Nora Brown<br /> |date = July 26, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222237&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222237<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Elijah Ken<br /> |date = December 3, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post223575&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 223575<br /> |title = Re: Oscillator Discussion Thread<br /> |author = KtT<br /> |date = January 4, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post225397&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 225397<br /> |title = Re: Oscillator Discussion Thread<br /> |author = KtT<br /> |date = February 14, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post226281&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 226281<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Evin<br /> |date = March 5, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post228952&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 228952<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Mitchell Riley<br /> |date = May 22, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post163279&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 163279<br /> |title = Re: Oscillator Discussion Thread<br /> |author = David Raucci<br /> |date = July 3, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post228975&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 228975<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Mitchell Riley<br /> |date = May 23, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post230996&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 230996<br /> |title = Re: Oscillator Discussion Thread<br /> |author = KtT<br /> |date = July 7, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post153747&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 153747<br /> |title = Re: Gun Discussion Thread<br /> |author = Nora Brown<br /> |date = November 17, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post193166&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 193166<br /> |title = Re: Gun Discussion Thread<br /> |author = carsoncheng<br /> |date = August 29, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post236353&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 236353<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Period1GliderGun<br /> |date = October 1, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post236411&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 236411<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Period1GliderGun<br /> |date = October 2, 2026<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> [[Category:Honey farm hasslers| ]]<br /> __NOTOC__</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176140 2026-11-01T19:06:13Z

<p>Sokwe: /* 3c/7 spaceships, puffers, rakes */ p105 rake</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Spaceships and versatile puffers of all non-orthogonal velocities strictly below the [[speed limit]] can be [[omniship|constructed]].<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 14 Sep 2026: [[omniship|All velocities strictly below the speed limit]] [ENDW, Goldtiger997]&lt;br&gt;<br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 18 Sep 2026: versatile puffers for all non-orthogonal velocities strictly below the speed limit [ENDW, Goldtiger997]&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239233#p239233 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176136 2026-11-01T08:47:03Z

<p>Sokwe: /* 3c/7 spaceships, puffers, rakes */</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Spaceships and versatile puffers of all non-orthogonal velocities strictly below the [[speed limit]] can be [[omniship|constructed]].<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 14 Sep 2026: [[omniship|All velocities strictly below the speed limit]] [ENDW, Goldtiger997]&lt;br&gt;<br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 18 Sep 2026: versatile puffers for all non-orthogonal velocities strictly below the speed limit [ENDW, Goldtiger997]&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239233#p239233 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176135 2026-11-01T08:42:44Z

<p>Sokwe: /* 3c/7 spaceships, puffers, rakes */ rakes of periods 91, 140, 182, and 280</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Spaceships and versatile puffers of all non-orthogonal velocities strictly below the [[speed limit]] can be [[omniship|constructed]].<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 14 Sep 2026: [[omniship|All velocities strictly below the speed limit]] [ENDW, Goldtiger997]&lt;br&gt;<br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 18 Sep 2026: versatile puffers for all non-orthogonal velocities strictly below the speed limit [ENDW, Goldtiger997]&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (foreward rake or backward rake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239233#p239233 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239226#p239226 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176110 2026-10-31T23:35:33Z

<p>Sokwe: /* Velocities of general moving objects */ Added omniship results</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Spaceships and versatile puffers of all non-orthogonal velocities strictly below the [[speed limit]] can be [[omniship|constructed]].<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 14 Sep 2026: [[omniship|All velocities strictly below the speed limit]] [ENDW, Goldtiger997]&lt;br&gt;<br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 18 Sep 2026: versatile puffers for all non-orthogonal velocities strictly below the speed limit [ENDW, Goldtiger997]&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (foreward rake or backward rake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Talk:Period-33_glider_gun&diff=176109 2026-10-31T23:14:51Z

<p>Sokwe: </p> <hr /> <div>Where did the p3 catalyst come from? Arie Paap's original post used a much larger one. [[User:I6 I6|I6 I6]] ([[User talk:I6 I6|talk]]) 18:24, 31 October 2026 (UTC)<br /> <br /> :It was found by Martin Grant in 2021. A link to the relevant post was in the page history of [[RLE:Period33gun]]. I added a note about this in the article. ~[[User:Sokwe|Sokwe]] 23:14, 31 October 2026 (UTC)</div>

Sokwe https://conwaylife.com/w/index.php?title=Period-33_glider_gun&diff=176108 2026-10-31T23:11:44Z

<p>Sokwe: Note on smaller p3 support</p> <hr /> <div>{{Gun<br /> |name = Period-33 glider gun<br /> |pname = period33gun<br /> |c = 161<br /> |bx = 55<br /> |by = 34<br /> |p = 33<br /> |b = 1<br /> |discoverer = Arie Paap<br /> |discoverer2 = Matthias Merzenich<br /> |discoveryear = 2018<br /> |rulemin = B3/S23<br /> |rulemax = B38/S238<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3/S23<br /> |isorulemax = B38/S234e6i8<br /> |animated = true<br /> |plaintext = true<br /> |rle = true<br /> |viewerconfig = #C [[ MAXGRIDSIZE 9 HEIGHT 460 WIDTH 600 THUMBSIZE 2 ZOOM 10 GPS 11 ]]<br /> }}<br /> A '''period-33 glider gun''' is any [[glider gun]] that produces a period-33 glider stream.<br /> A [[Gun#True-period_guns|true period]] 33 [[gun]] was discovered by [[Arie Paap]] on October 3, {{year|2018}}.&lt;ref name=&quot;post64266&quot; /&gt; The underlying interaction of 2 copies of [[Jason's p33]] was found by [[Matthias Merzenich]] the previous day.&lt;ref name=&quot;post64251&quot; /&gt; The period-3 [[sparker]] is necessary to suppress a spark of one copy of the p33 [[engine]] that would otherwise interact with the produced glider. It is the first known true period 33 gun and represented the smallest odd period known for a true period gun until the discovery of the [[period-21 glider gun]]. The original form used a much larger p3 oscillator. The form shown at right was found by [[Martin Grant]] on July 4, {{year|2021}}.&lt;ref name=&quot;post133017&quot; /&gt;<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post64266&quot;&gt;{{LinkForumThread<br /> |f = 2<br /> |t = 3552<br /> |p = 64266<br /> |title = Re: Gun discussion thread<br /> |format = ref<br /> |author = Arie Paap<br /> |date = October 2, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post64251&quot;&gt;{{LinkForumThread<br /> |f = 2<br /> |t = 3552<br /> |p = 64251<br /> |title = Re: Gun discussion thread<br /> |format = ref<br /> |author = Matthias Merzenich<br /> |date = October 1, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post133017&quot;&gt;{{LinkForumThread<br /> |p = 133017<br /> |title = Re: Execution of Old Guns by Variable-Speed Firing Squad<br /> |format = ref<br /> |author = Martin Grant<br /> |date = July 4, 2021<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176106 2026-10-31T22:46:31Z

<p>Sokwe: /* 3c/7 spaceships, puffers, rakes */ Link for explicit p168 and p210 rakes</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Universal constructor-based spaceships (and other objects) that move very slowly have been made. The [[Gemini|first such object]] has a velocity of (5120,1024)c/33699586.<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (foreward rake or backward rake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239161#p239161 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=176105 2026-10-31T22:01:36Z

<p>Sokwe: Added &quot;3c/7 spaceships, puffers, rakes&quot; table</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Universal constructor-based spaceships (and other objects) that move very slowly have been made. The [[Gemini|first such object]] has a velocity of (5120,1024)c/33699586.<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Lightweight spaceship|4]]&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[glider|4]]&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[pre-pulsar spaceship|30]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[dragon|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[seal|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[Sir Robin|6]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[loafer|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[weekender|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[doo-dah|21]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[spaghetti monster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[lobster|7]]&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;[[copperhead|10]]&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==3c/7 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (foreward rake or backward rake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;7:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Spaghetti monster|S]]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=118028#p118028 S][https://conwaylife.com/forums/viewtopic.php?p=119527#p119527 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238201#p238201 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238707#p238707 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;49:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;77:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=239053#p239053 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;91:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;119:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;133:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;147:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238447#p238447 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;161:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;175:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;189:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;203:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;210:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;217:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;231:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;238:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;245:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=238927#p238927 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;259:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;266:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;273:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;280:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=8&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span class=&quot;plainlinks&quot;&gt;All periods [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 770 or greater] are known. &lt;br/&gt;All periods 280 or greater can likely be created based on [https://conwaylife.com/forums/viewtopic.php?p=238293#p238293 this reaction].&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175998 2026-10-22T02:12:15Z

<p>Sokwe: Added new 3c/7 technology news items.</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''October 16''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=237584#p237584 constructs] an [[engineless]] 3c/7 orthogonal rake, demonstrating that 3c/7 rakes of all periods 770 or greater can be constructed.<br /> * '''October 13''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=237378#p237378 discovers] a period-35 3c/7 orthogonal rake based on a spaceship by [[iNoMed]].<br /> * '''September 27''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=235953#p235953 reduces] the [[unsynthesizable still life]] record again, from 154 live cells in a 252-cell self-forcing patch to 153 live cells in a 245-cell patch.<br /> * '''September 25''': [[Luka Okanishi]] [https://conwaylife.com/forums/viewtopic.php?p=235812#p235812 discovers] a [[period-38 glider gun]] engine using a partial by [[Period1GliderGun]]; the gun was subsequently reduced by several other contributors.<br /> * '''September 14''': [[ENDW]]’s [https://conwaylife.com/forums/viewtopic.php?p=235116#p235116 first forum post] contains an implementation of [[Goldtiger997]]'s [https://conwaylife.com/forums/viewtopic.php?p=207398#p207398 proposed] [[omniship]] design with velocity (16,9)c/60 and period 600000000. This design allows the construction of spaceships for all non-orthogonal velocities strictly below the spaceship [[speed limit]].<br /> * '''September 11''': [[russellsprouts]] [https://conwaylife.com/forums/viewtopic.php?p=234959#p234959 constructs] the first [[Langton's Ant]] emulator in Life not based on the [[0E0P metacell]].<br /> * '''September 11''': [[I6_I6]] [https://conwaylife.com/forums/viewtopic.php?p=234958#p234958 constructs] the first [[self-synthesizing]] [[reflectorless rotating oscillator]] in Life; [[Goldtiger997]]'s [https://conwaylife.com/wiki/Reflectorless_rotating_oscillator#Engineered_RROs previous design] was not truly self-synthesizing.<br /> * '''September 10-11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=234911#p234911 constructs] the first c/6 diagonal puffer, using a reaction by [[Hunter]]. [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=234923#p234923 constructs] some smaller examples the next day. While c/6 diagonal puffers based on the [[Speed Demonoid]] design are possible, none have yet been constructed, and any such puffer would be much larger.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/Spaceship_searches&diff=175700 2026-10-08T02:02:31Z

<p>Sokwe: 3c/10 even-symmetric width 20 search by Caleb R. Hilton with qfind 2.4b</p> <hr /> <div>== [https://gitlab.com/andrew-j-wade/life_slice_ship_search LSSS] ([https://www.conwaylife.com/forums/viewtopic.php?p=118520#p118520 buggy], negative results cannot be considered complete) ==<br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 23&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=86827#p86827|title=Re: Spaceship Discussion Thread|author=Andrew J. Wade|date=January 1, 2020|accessdate=January 6, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref name =&quot;wade1&quot;&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=86979#p86979|title=Re: Spaceship Discussion Thread|author=Andrew J. Wade|date=January 5, 2020|accessdate=January 6, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=229584#p229584|title=Re: Spaceship Discussion Thread|author=MDA|date=June 10, 2026|accessdate=June 17, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;ampere1&quot;&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=116576#p116576|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=December 21, 2020|accessdate=December 21, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 29&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=86880#p86880|title=Re: Spaceship Discussion Thread|author=Andrew J. Wade|date=January 1, 2020|accessdate=January 6, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 30&lt;ref name=&quot;ampere1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref&gt;{{LinkForumThread|p = 87236 |title = Re: Spaceship Discussion Thread|author = AforAmpere|format = ref|date = January 9, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 24&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=87057#p87057|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=January 6, 2020|accessdate=January 6, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=230255#p230255|title=Re: Spaceship Discussion Thread|author=MDA|date=June 25, 2026|accessdate=June 25, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 28&lt;ref name=&quot;LSSS-4c9-w28-symm&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name =&quot;wade2&quot;&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=87194#p87194|title=Re: Spaceship Discussion Thread|author=Andrew J. Wade|date=January 8, 2020|accessdate=January 8, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;wade2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;wade2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;wade1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref name=&quot;wade2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;wade2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == qfind v2.x ==<br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;Sokwe-c/8-w10g&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | <br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref name=&quot;Sokwe-c/8-w10even&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;Sokwe-c/8-w10g&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;crh-3c10-gutter&quot;&gt;{{LinkForumThread|format=ref|p=235486|title=Re: Spaceship Discussion Thread|author=Caleb R. Hilton|date=September 20, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | <br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref&gt;{{LinkForumThread|format=ref|p=236920|title=Re: Spaceship Discussion Thread|author=Caleb R. Hilton|date=October 6, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;crh-3c10-gutter&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> |}<br /> <br /> == qfind v1.x ==<br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 24<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10 <br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 4<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> |}<br /> <br /> == [https://github.com/rokicki/ntzfind Tom's ntzfind] ==<br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 24<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 22<br /> | style=&quot;background: #ffa0a0;&quot; | 23<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 22<br /> | style=&quot;background: #ffa0a0;&quot; | 23<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name =&quot;AforAmpere 1&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=68425#p68425|title=Re: Database of All Completed and Ongoing *find Searches|author=AforAmpere|date=January 22, 2019|accessdate=January 22, 2019}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;AforAmpere 1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;AforAmpere 1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (6,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (6,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == zfind 2.0 or zfind-s (buggy - please use [https://github.com/rokicki/ntzfind Tom's ntzfind] for further searches) ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name =&quot;1,0c/8&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=275#p39439|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=January 16, 2017|accessdate=January 16, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=375#p41697|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=March 16, 2017|accessdate=March 16, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref&gt;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=375#p41857|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=March 19, 2017|accessdate=May 24, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;1,0c/8&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;praosylen4&quot;&gt;{{LinkForumThread|format=ref|p=38767|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 28, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;praosylen2&quot;&gt;{{LinkForumThread|format=ref|p=38682|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 25, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;praosylen3&quot;&gt;{{LinkForumThread|format=ref|p=38728|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 27, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;praosylen4&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,2)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == knight2 ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10 <br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | 3<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | 13&lt;ref name=&quot;coe1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;coe1&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1834&amp;start=25#p25972|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=December 18, 2015|accessdate=December 18, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;coe1&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;coe2&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1834&amp;p=27126#p27120|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=January 30, 2016|accessdate=January 30, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;coe1&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 23<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> ===Unreleased version of knight2===<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;coe2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == gfind ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | 3*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 10*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 7*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 7*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 4<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 6*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 5*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> |-<br /> | (2,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,2)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (4,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> &lt;nowiki&gt;*&lt;/nowiki&gt; Using PATCH 10 from gfind-pt<br /> <br /> == gfind-pt (Paul's Modification) ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10 <br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | 3<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 14&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1834&amp;start=25#p25809|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Josh Ball|date=December 11, 2015|accessdate=January 16, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;pt1&quot;&gt;Checked by Paul Tooke with gfind&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 29&lt;ref name=&quot;pt1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 26&lt;ref name=&quot;pt1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 27&lt;ref name=&quot;pt1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;1,0c/8-gfind&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=25902#p25902|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tanner Jacobi|date=December 16, 2015|accessdate=December 17, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=150#p32721|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=July 4, 2016|accessdate=December 21, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref&gt;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1739#p21577|title=Re: c/8 orthogonal spaceships|author=Josh Ball|date=July 31, 2015|accessdateJanuary 15, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;1,0c/8-gfind&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 22&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=25645#p25645|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tanner Jacobi|date=December 4, 2015|accessdate=December 4, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 4<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> |}<br /> <br /> == WLS 7.1 ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10 <br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | 3<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |}<br /> <br /> == WLS 6.3 (Nicolay's Modification) ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |}<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10g&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 138201<br /> |author = Matthias Merzenich<br /> |date = November 29, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10even&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 155106<br /> |author = Matthias Merzenich<br /> |date = December 22, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;LSSS-4c9-w28-symm&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 155992<br /> |author = shuich01<br /> |date = December 14, 2023<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Spaceship_Search_Status_Page&diff=175699 2026-10-08T02:01:06Z

<p>Sokwe: 3c/10 even-symmetric width 20 search by Caleb R. Hilton</p> <hr /> <div>==Conventions==<br /> The tables below give the minimum orthogonal width and height of the [[envelope]] of a spaceship of the specified type. This is found by simulating a period-&lt;tt&gt;p&lt;/tt&gt; spaceship for &lt;tt&gt;p&lt;/tt&gt; iterations, with the initial phase chosen to minimise the width or height.<br /> <br /> For types where the minimum is known, references point to the proof of minimality rather than the discovery of the ship possessing it. A stamp collection of minimum-width ships is given below the table.<br /> <br /> Symmetry considered is in the line parallel to a spaceship's direction of motion.<br /> <br /> == Known spaceships by width ==<br /> The width in the following table is the width of the [[envelope]] of the pattern after it has been run through every phase in its period and minimized over all starting phases. Further, the width is the direction perpendicular to the orthogonal direction of greatest displacement. For example, for a (2,1)c/6 ship the width is the dimension perpendicular to the direction in which the ship is displaced by 2 cells.<br /> <br /> Note that symmetric diagonal spaceships always have an odd diagonal width (measured by [[half-diagonal]]s), but since this table records the orthogonal width of the ship, the minimum width for such a ship might not be odd. The same applies to glide symmetric diagonal ships, although these ships can have odd or even width depending on whether their diagonal placement is even or odd respectively.<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_g0jimmgoz1o0imkqa323ms8zwq2qamkgggqe4zwiiqq26101zw1|name=21|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zx22gf1cs0sc1fg22zx8o2s1scgcs1s2o8z8f74143y334147f8|name=21|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_y1c2h19a073370a91h2czg8c2n0v06ugy2gu60v0n2c8gz2201yg1022|name=28|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[70P2H1V0.1|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_g46jo88y0o420ejz3mu2iit0p45112207czw1221|name=12|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[Dart|15]]<br /> | style=&quot;background: #80ff80;&quot; | [[Turtle|12]]<br /> | style=&quot;background: #80ff80;&quot; | [[Brain|17]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_xap1zxo276z06n6ihzwjp40a2zw3ikn0aizx11shhczcgi28mkb08zxu995222z2c2|name=10|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[Non-monotonic spaceship 1|13]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=16|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y0671x176zw2359cs0sc9532zw68cvhxhvc86z66br22ge0eg22rb66zy16e606e6|name=17|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|3]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=7|style=raw}}&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=7|style=raw}}&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Glider|3]]<br /> |-<br /> | strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=18|style=raw}}&lt;ref name=&quot;post172628&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=19|style=raw}}&lt;ref name=&quot;post172628&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[B29|10]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> |-<br /> | (2,0)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|5]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[X66|11]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6rucwcur6|name=12|style=raw}}&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[X66|11]]<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|5]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6frcx6frc|name=12|style=raw}}&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> |-<br /> | strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Hammerhead|20]]&lt;ref name=&quot;MM2&quot;/&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Two HWSS dragging boat|15]]&lt;ref name=&quot;post172628&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_79112o6m4so0sb0teoov1h1azei22ke22w1704c1wd99|name=11|style=raw}}&lt;ref name=&quot;post126570&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Hivenudger|15]]&lt;ref name=&quot;MM2&quot;/&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_w4bn0n96zwo4k4sq0ozy010b29k1zwg4m0hdd5z02ac2c85896zw8pihmdzpkti8p9gzwh90v8z01121i664ozy01siszw25ci2zxgg1fuczw7uqf010n3zwghiik22zhp0d0d0phzwa8gs2zg8g66mh04m2z066w13w2|name=11|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_wm2kci1u0u1ick2mzw33274i101i47233zw2dc1v0v0v0v1cd2zxg8a3gv0vg3a8gz6978fgr3x3rgf8796zy21137311|name=19|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_0gowe019910ewogz0o8g4797ee7974g8oz0uify6fiuzx7uarewerau7z6eghhd0hcch0dhhge6zwc1m4o2442o4m1czy1uhb44bhuz0ca1gly2lg1acz015054m6uu6m45051zy134011043|name=18|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_y0ggd2x2dggzwoo71y317oozwh14q4y14q41hzw3k080gxg080k3zx8dhc0v0v0chd8zy2k1j0j1kzwoogp90t0t09pgoozwkk0e1sr0rs1e0kkz04sgh706101607hgs4zwqsglmoxomlgsqzw122206303602221z0pm20u5680865u02mpz0qr3o7s4r0r4s7o3rqzxg09a27072a90gz0a919glb101blg919azos0c4pgy1gp4c0soz88goqw23032wqog88zy0768aa0aa867z8e73644y144637e8zwet6y56tezx7g7y37g7zwco23y332ocz4qf1f4ooxoo4f1fq4z02fge1cic0cic1egf2zy1jrqxqrjzx277ogc0cgo772zw26tg2y12gt62z03741hkd202dkh1473zxe214o404o412ez08kf047y1740fk8z013la8qas0saq8al31zw70hhehv0vhehh07zwo8je9430349ej8oz23rh366y1663hr32zw3ob0g6q0q6g0bo3zwl6s1lgf0fgl1s6lzw11y711|name=19|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng|name=13|style=raw}}&lt;ref name=&quot;coe1&quot;/&gt;&lt;ref name=&quot;post222861&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;!--via rlifesrc; search took 580924s--&gt; &lt; w &amp;le; [[86P5H1V1|24]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 19 &lt; w &amp;le; [[86P5H1V1|24]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=10|style=raw}}&lt;!--&lt;ref group=n&gt;64 cells; {{LinkCatagolue|xq5_0kq3u2z0g9idi62gz0bih83621z4aq2v6wc56zwrhl871|name=shortest w11a|style=raw}} is 72 (and also shortest w12a), shortest w13a is [[30P5H2V0]]&lt;/ref&gt;--&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[44P5H2V0|15]]&lt;!--shortest until w21o, at which point tied by [[60P5H2V0]], then both beaten at w23o by [[57P5H2V0]], which persists until w25o--&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[70P5H2V0|18]]&lt;!--shortest until w28e, at which point beaten by two of [[30P5H2V0]]--&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[44P5H2V0|15]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_o82imo0jiiy8goow43h6011zhhh0hhrrrhwee0rrhar0hxarrhz3289d30p99y8133w4ohc0gg|name=17|style=raw}}&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | [[409P6H1V0|12]]&lt;ref&gt;{{LinkForumThread|format=ref|p=43495|title=Re: Spaceship Discussion Thread|author=praosylen|date=May 13, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[600P6H1V0|19]]<br /> | style=&quot;background: #80ff80;&quot; | [[Dragon|18]]<br /> | style=&quot;background: #80ff80;&quot; | [[274P6H1V0|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10 &lt; w &amp;le; [[Seal|35]]<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[77P6H1V1|36]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 13 &lt; w<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Seal|35]]<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_0keh2y088y08c04kc0o88bb84ny1s40g0mi0cc8zehkggk691wdca331w66701ddaw378f2w121zx13|name=12|style=raw}}&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y0g81v0v18gzwso4k7ece7k4oszy1l3i4i3lzx2q9fxf9q2zg738c04o0o40c837gz22cc1hgf0fgh1cc22zy24aia4|name=17|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_x42jgbffbgj24zy0gideccedigzy02w4oo4w2zxe6oi1111io6ezy0djoppppojdz4a22ckf0880fkc22a4zy03y43|name=18|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe5&quot;&gt;{{LinkForumThread|format=ref|p=29960|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 13, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_8ci02j3ac604a02a83g4350go0ook222o0gwggz7b99aa8cab88cab888bc8b894cy21226d8406ac8b5zedp95l135d1135d111t31d1pi3gggxo4k6bhi06531daz13404cc5360250451c02caw101124441|name=19|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_wgoihe4wgwkccy2o0gg66io1g3ccza58sc2a2klk2mvs13m90l3223x2kklkkk30s2k8zx395ph02411noq312023d174gg5c060oo3w1zy0121yf1110203|name=17|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_w4a2a8jj8a2a4zy0j4ijji4jzx3313rr3133z08460mussum0648zxdj8gggg8jdzee8c0k666mk0sgeezw301y2221|name=18|style=raw}}&lt;ref name=&quot;coe5&quot; /&gt;<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;coe1&quot;&gt;{{LinkForumThread|format=ref|p=25972|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=December 18, 2015}}&lt;/ref&gt; &lt; w &amp;le; [[Sir Robin|31]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y161cz8ogg3u1p4goe2z0338fho1fg44zy127cog9114k0u0ou2zaig0g8xp0i30vk32zw1278994302631|name=21|style=raw}}&lt;ref name=&quot;amling-3c/6-w20-asym&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zw8e64n3oo0oo3n46e8zy133h9p0p9h33zy2720242027|name=21|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y2ogm6e3z8suj23aqaa98gzo605y01345024ozgrodwgokmhl821z013626qaa2kzy43336|name=28|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y18waj0jaw8zw2qg1ng62026gn1gq2z2cagn21y312ngac2zgg03l4w88088w4l30ggz076gv0r6of0fo6r0vg67zy15fogo0ogof5zy41x1|name=21|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Loafer|10]]&lt;ref name=&quot;coe8&quot;&gt;{{LinkForumThread|format=ref|p=31878|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=June 11, 2016}}&lt;/ref&gt;&lt;ref name=&quot;MM1&quot;/&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[339P7H1V0|19]]&lt;ref name=&quot;MM1&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq7_26871wn3y03nw17862zy12596y06952|name=22|style=raw}}&lt;ref&gt;{{LinkForumThread|format=ref|p=44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017}}&lt;/ref&gt;&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq7_26871wn3x3nw17862zy12596x6952|name=21|style=raw}}&lt;ref name=&quot;coe8&quot;/&gt;&lt;ref name=&quot;MM1&quot;/&gt;&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | strict<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref&gt;{{LinkForumThread|format=ref|p=44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017}}&lt;/ref&gt; &lt; w<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;coe8&quot;/&gt;&lt;ref name=&quot;MM1&quot;/&gt; &lt; w<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9 &lt; w &amp;le; [[Lobster|27]]<br /> | style=&quot;background: #ffa0a0;&quot; | 11 &lt; w &amp;le; [[Lobster|27]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 11 &lt; w<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref&gt;{{LinkForumThread|format=ref|p=57129|title=Re: Spaceship Discussion Thread|author=Tomas Rokicki|date=March 1, 2018}}&lt;/ref&gt;&lt;ref name=&quot;MM6&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Scholar|23]]&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Weekender|18]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq7_j48ye880oog040608k0szc8orr88o664ewebaamk80101ag0ggezy2hhyar0raahhz623rr223cc4eweqaad520g0ga1011ezp42ye220331040c02507|name=25|style=raw}}&lt;ref name=&quot;MM6&quot;/&gt;&lt;ref&gt;{{LinkForumThread|f=2|t=2031|p=212476|title=Re: Spaceship Discussion Thread|author=shuich01|date=May 28, 2025|format=raw}}, in which the first w25gutter 2c/7 was discovered with LSSS (may not be shortest possible)&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;knight2&quot;&gt;Checked with knight2.c&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 14&lt;ref name=&quot;coe6&quot;&gt;{{LinkForumThread|format=ref|p=30124|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 17, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Spaghetti monster|29]]&lt;ref name=&quot;pt1&quot;&gt;Checked by Paul Tooke with gfind&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 28&lt;ref name=&quot;coe6&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq7_y1o0ab6gggxggg6ba0ozxstk15l4lhdxdhl4l51ktszy2o860oioxoio068ozoke0738a42j0430340j24a8370ekoz0108oox37dexed73xoo801z0jb995sogy7gos599bjz122212a0gl2y32lg0a212221zy3tv2c8gxg8c2vtzy3k0cv3y13vc0kzy3380102s0s201083zy3h1210670760121hzy2hd5y75dh|name=31|style=raw}}&lt;ref name=&quot;coe6&quot;/&gt;&lt;ref name=&quot;chen-3c/7-w31gutter&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;Sokwe-c/8-w10g&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;Sokwe-c/8-w10odd&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref name=&quot;Sokwe-c/8-w10even&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;Sokwe-c/8-w10g&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 7 &lt; w &amp;le; [[Walrus|21]]<br /> | style=&quot;background: #ffa0a0;&quot; | 10 &lt; w<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 10 &lt; w<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 7 &lt; w &amp;le; [[Walrus|21]]<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_1263hoc6coh3621zxo60l2l06ozwvw2o0o2wvz0o0rjpxpjr0ozcfhi3108013ihfczxduik9kiud|name=15|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;&gt;{{LinkForumThread|format=ref|p=30299|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 21, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_671y8176z111uu0o4w4o0uu111z8g8334mi66im4338g8z01xshraarhsx1zy22ahha2zy2cqbbqczy2ip88piz0djk7w1221w7kjdzwd11464w46411dz5dod5y45dod5zops108k8w8k801spoz01084173oo3714801zy0hphy0hph|name=18|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_o0r54kc606ck45r0ozx8d5gg0gg5d8zwg0gm11011mg0gz0gre539e0e935ergz3o539k4x4k935o3zw249c1v0v1c942zy1so707oszy0gq2x2qgzw4o22oxo22o4zwoog57x75goozgo888h5o0o5h888ogzx33hph0hph33|name=17|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_xk3k0k3kzwe0698960ez0bt08o8o80tbzxhs505shzw855o0o558z06746bsb6476zxoo464soz0258bn1061zwgwfc010gzor1304cgg6d43z01w302|name=13|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8 &lt; w &amp;le; {{LinkCatagolue|xq8_o4w8gi5hcgwgz5og0g7gadxj184s6332gkozx8iqxgh2p40ar8aczy3c80h01446zy5223|name=24|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;knight2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;knight2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 22&lt;ref&gt;{{LinkForumThread|p = 25645 |title = Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author = Tanner Jacobi|format = ref|date = December 3, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref name=&quot;knight2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;knight2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_e9885e88wgs046gy34eb766cg22aazsigg83cd47307q0ne3qsma4e68mmuw177w33244zym11|name=11|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_go8ggc2ghhioc4s1116agooz0hrawr4weeaxhhaaxhz13211681hh93647gggca133|name=17|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_v112oy2o211vz01wo1a44a1ow1zwo6k5t44t5k6oz0d1c32i33i23c1dzy0g895598gzx258owo852|name=20|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_x6996y16996zy0337pe0ep733zmgg118bio0oib811ggmz2fgmhihu202uhihmgf2zx36m1gxg1m63zxsv046101640vszwighc2y12chgizw78jnmio0oimnj87z0o40ho6ec0ce6oh04ozw12a421x124a21zks4g9k1fd0df1k9g4skz112cg22ue0eu22gc211zy06f1mc0cm1f6zy0988po0op889zxg8c2qf0fq2c8gz258pdd1y11ddp852zwe8950oxo0598ezy08um6x6mu8zy034461016443|name=19|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_wgu113484311ugz0cdp1x2x1pdcz344240o444o042443zx3nqi212iqn3z0su944im3mi449uszy1ehh9d18azwg442mkg02hhqzwbg8531y032cz0oo0go8636cwq7z0132x420111|name=17|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_0sur6y66ruszw11w1rcsscr1w11zxo421i5w5i124oz0u1uur2y22ruu1uz24852y625842z251888g0oooo0g888152z8f7k4m641w146m4k7f8zy058heowoeh85z0oo2703sox474ba8zw22|name=20|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> |-<br /> | (1,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;AforAmpere1&quot;&gt;{{LinkForumThread|format=ref|p=52707|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=November 5, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;AforAmpere1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;AforAmpere1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;MM3&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[117P9H3V0|17]]&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;coe6&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref&gt;{{CiteDiscord|channel=cgol|id=1315068947003080744|author=Exa|date=December 7, 2024}}, in which 4c/9 w24e was disproven with qfind&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 24&lt;ref&gt;{{CiteDiscord|channel=cgol|id=1314739024111603722|author=Exa|date=December 6, 2024}}, in which 4c/9 w24e was disproven with qfind&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref name=&quot;coe6&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;praosylen5&quot;&gt;{{LinkForumThread|format=ref|p=39024|title=Re: Spaceship Discussion Thread|author=praosylen|date=January 5, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Copperhead|10]]<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> |-<br /> | (2,0)c/10&lt;!--asym, odd, even, gutter with qfind -h 0--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 7 &lt; w &amp;le; {{LinkCatagolue|xq10_w4bn0n96zwo4k4sq0ozy010b29k1zwg4m0hdd5z02ac2c85896zw8pihmdzpkti8p9gzwh90v8z01121i664ozy01siszw25ci2zy1hfeczxgh48clgzw4ca9o089gzxpq21gqbdzwgk1gt52z0802g441z0dc13ae1352z0e620szwg840o3ozwgjjo303oz01237rg841zx84i12uszxss9f431zg1pdz197zwbb64a0ezy0ehmzwfo04tkz2h3o50nzw131275zy12pjg|name=11|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 13 &lt; w &amp;le; [[160P10H2V0|19]]<br /> | style=&quot;background: #ffa0a0;&quot; | 14 &lt; w &amp;le; {{LinkCatagolue|xq10_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|name=20|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 15 &lt; w &amp;le; {{LinkCatagolue|xq10_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|name=19|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;coe4&quot;&gt;{{LinkForumThread|format=ref|p=28770|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=March 1, 2016}}&lt;/ref&gt; &lt; w &amp;le; {{LinkCatagolue|xq10_xc19gy1c19gzy033y333zwm2kci1u0u1ick2mzw33274i101i47233zw2dc1v0v0v0v1cd2zxg8a3gv0vg3a8gz6978fgr3x3rgf8796zy21137311|name=19|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 14&lt;ref name=&quot;coe4&quot;/&gt; &lt; w &amp;le; {{LinkCatagolue|xq10_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|name=20|style=raw}}<br /> |-<br /> | (2,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;crh-3c10-gutter&quot;&gt;{{LinkForumThread|format=ref|p=235486|title=Re: Spaceship Discussion Thread|author=Caleb R. Hilton|date=September 20, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref&gt;{{LinkForumThread|format=ref|p=53546|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=December 10, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref&gt;{{LinkForumThread|format=ref|p=236920|title=Re: Spaceship Discussion Thread|author=Caleb R. Hilton|date=October 6, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;crh-3c10-gutter&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,2)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_o4c4onrqoh8y1g8c8k4088y1gzha0ay4err0l4rhwrh0haelh4vz34643trb3h2y1126254022y11|name=15|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_eaiebb8c82gkwo4rfgt4w6696zx11303hoj1ed1w411zxggo0oh3pgemgw4ggzea9eqq262815w34ru1n4wccic|name=22|style=raw}}&lt;ref name=&quot;MM5&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_wgwfhj4o0o4jhfwgzbvo33w1iv0vi1w33ovbzy162q2h0h2q26zy31b303b1zy33470743|name=21|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_ggcmhe404ehmcggz8pjmy3mjp8zy0p81s1ohzx8nnw745|name=15|style=raw}}&lt;ref name=&quot;coe3&quot;&gt;{{LinkForumThread|format=ref|p=27167|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=February 1, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;coe3&quot;/&gt;<br /> |-<br /> | (4,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_343yb343z02552g8o4o0o4o8g2552zy02cc30v0v03cc2zx2qga9630369agq2z0g444gy5g444gzaig2q0q2gv0vg2q0q2giazw1278j1wow1j8721zy1aig2q0q2giazy1oohin0nihoozw2ec4to33033ot4ce2z25k0f2y52f0k52z8801mdggo808oggdm1088z1268v0t18f0f81t0v8621zy168hgs0sgh86|name=21|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 22&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_025524sm4o0o4ms42552zy08kjfgv0vgfjk8zgg08o0pi8f0f8ip0o80ggz03r1111y31111r3z0aig2c6af101fa6c2giazx12nhn3x3nhn21zxaq1m9qa0aq9m1qazw8813p6of0fo6p3188z8g83u8621x1268u38g8z011emgy5gme11z2uo0u0co1t0t1oc0u0ou2zx23kv0310130vk32zy2136303631|name=21|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;praosylen1&quot;&gt;{{LinkForumThread|format=ref|p=38671|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 25, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;lordlouckster1&quot;&gt;{{LinkForumThread|format = ref|title = Re: Spaceship Discussion Thread|p = 148225|author = lordlouckster|date = July 13, 2022}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;lordlouckster1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;praosylen1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 7&lt;!--longest qfind partial (7*21)<br /> 3b2o$2bo2bo$bo3bo$bo3$o3b2o$bob2o$4bo$3b2o$3b2o$3b2o2$3b3o$bob3o$bo$4bo$b2o3bo$b2o$2bo2b2o$3b2o!--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/11&lt;!--qfind--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,2)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/12&lt;ref name=&quot;drone-qfind&quot;&gt;asymmetric, odd, even and gutter lower bounds by DroneBetter using qfind&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 5 &lt; w &amp;le; {{LinkCatagolue|xq12_yj13922y022931zymo7q99q7ozyggg0nj611tuut116jn0ggzyi1y0gc44cgy01z03m0m3y03m0m3y8223322y93m0m3y03m0m3zw3gn3aaaa3ng3y7o035w530oy83gn3aaaa3ng3zwu97y279uy812222221y9u97y279uz22qggy2ggq220248oe2yb2eo842022qggy2ggq22zxq03q22q30qy526csssssssssssc62y5q03q22q30qzxdidy0didybe2i2eybdidy0didzyk8g40cscsc04g8zyjg0omb86068bmo0gzyj1247y37421zyk4ao9f9o9f9oa4zykg8kg0o5o0gk8gzyk12jg12121gj21zyj11cn4mo0om4nc11zyjgo0g61x16g0ogzyhegcd16b6g0g6b61dcgezyhc4g122e0a0a0e221g4czyh124epni2h0h2inpe421zyjg8mti47074itm8gzyg8u125g11gg0gg11g521u8zyj1h9o8pp0pp8o9h1zyj12t60uu0uu06t21zymora202arozyi80a191vg0gv191a08zyh18d6oy5o6d81zyk1gp4y14pg1zyhgg07g24gxg42g70ggzyh1210121y11210121|name=63|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;codeholic-gfind&quot;&gt;Ivan Fomichev using gfind under OS X 10.9.5, verified by DroneBetter using rlifesrc in 8.36 hours&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;!--rlifesrc--&gt;<br /> |-<br /> | (3,0)c/12&lt;ref name=&quot;drone-qfind&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/12&lt;ref name=&quot;drone-qfind&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13 &lt; w &amp;le; {{LinkCatagolue|xq12_y0g81t0t18gzwso4k7ece7k4oszy1l3i4i3lzx2q9fxf9q2zg738c04o0o40c837gz22cc1hgf0fgh1cc22zy24aia4|name=17|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |-<br /> | (6,0)c/12&lt;ref name=&quot;drone-qfind&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;!--with -h 0, note that it crashed at deepening 65536--&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Schick engine|11]]<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;!--with -h 0, did not crash--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |}<br /> <br /> {{EmbedViewer<br /> |pname = knownspaceshipsbywidth<br /> |position = center<br /> |caption = Spaceships by width<br /> |viewerconfig = #C [[ WIDTH 800 HEIGHT 600 ]]<br /> }}<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |+ style=&quot;text-align: left;&quot; | Single-phase width<br /> |-<br /> ! Velocity !! Asymmetric || Odd-symmetric&lt;br /&gt; || Even-symmetric&lt;br /&gt; || Gutter&lt;br /&gt; || Odd glide-symmetric&lt;br /&gt; || Even glide-symmetric&lt;br /&gt;<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_g0jimmgoz1o0imkqa323ms8zwq2qamkgggqe4zwiiqq26101zw1|name=21|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zx22gf1cs0sc1fg22zx8o2s1scgcs1s2o8z8f74143y334147f8|name=21|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_y1c2h19a073370a91h2czg8c2n0v06ugy2gu60v0n2c8gz2201yg1022|name=28|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[70P2H1V0.1|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_5fg2964ccgw3u0228mc53bgzicdy5of0882d6koq1|name=10|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Dart|15]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Turtle|10]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Brain|17]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_xap1zxo276z06n6ihzwjp40a2zw3ikn0aizx11shhczcgi28mkb08zxu995222z2c2|name=9|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Non-monotonic spaceship 1|11]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=14|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y0671x176zw2359cs0sc9532zw68cvhxhvc86z66br22ge0eg22rb66zy16e606e6|name=17|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|3]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=6|style=raw}}&lt;ref name=&quot;post172047&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=6|style=raw}}&lt;ref name=&quot;post172047&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Glider|3]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> |-<br /> | strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=17|style=raw}}&lt;ref name=&quot;post223389&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=18|style=raw}}&lt;ref name=&quot;post223389&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[B29|7]]<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|4]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|9]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Hammerhead|16]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|9]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|4]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Two HWSS dragging boat|13]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 3|8]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Hivenudger|13]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_o2f0huez5sn93v36z0qsgr0g0eezc8080v9z0121g42a4z47f0110m6zy0oob8dzx6621|name=10|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_69c52t2x2t25c96z0chl5abxba5lhcz08k02im5c5mi20k8z8o328ao505oa823o8z0856sg2u0u2gs658zm7j68g4f0f4g86j7mz1248g0j888j0g8421zy111x11|name=17|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_0gowe019910ewogz0o8g4797ee7974g8oz0uify6fiuzx7uarewerau7z6eghhd0hcch0dhhge6zwc1m4o2442o4m1czy1uhb44bhuz0ca1gly2lg1acz015054m6uu6m45051zy134011043|name=18|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Snail|19]]&lt;ref name=&quot;post222547&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng|name=12|style=raw}}&lt;ref name=&quot;post222837&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11 &lt; w &amp;le; [[86P5H1V1|22]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 11 &lt; w &amp;le; [[86P5H1V1|22]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=8|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_o82imo0jiiy8goow43h6011zhhh0hhrrrhwee0rrhar0hxarrhz3289d30p99y8133w4ohc0gg|name=15|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[70P5H2V0|18]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[44P5H2V0|15]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == Known spaceships by height ==<br /> <br /> In this table, a ship is &quot;pure&quot; if it possesses the given symmetry type, but no higher symmetry type. For example, a gutter-symmetric ship is also odd-symmetric, but is not &quot;pure&quot; odd-symmetric.<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |-<br /> ! Velocity !! Asymmetric || Odd-symmetric&lt;br /&gt;(strict) || Even-symmetric&lt;br /&gt;(strict) || Gutter&lt;br /&gt;(strict) || Odd glide-symmetric&lt;br /&gt;(strict) || Even glide-symmetric&lt;br /&gt;(strict)<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28aga82ese28agga82ejt0g40s0cf1zx112731yk137211|name=8|style=raw}}&lt;ref name=&quot;MM-WLS&quot;&gt;Checked by Matthias Merzenich using WLS.&lt;/ref&gt;&lt;ref name=&quot;post172210&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[64P2H1V0|8]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=8|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_32mmgozg0igke72z1n2q1z0qgm1z0hjrgz0a889be4z0lhhpd72z0ostz0l0m8zoeklozwkgine4zc46601|name=8|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[25P3H1V0.1|5]]&lt;ref name=&quot;MM-WLS&quot; /&gt;&lt;ref name=&quot;post172210&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=6|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_2554ca0so07bgg0s4me08ewfjkk0gg0kkjfwe80em4s0ggb70os0ac4552zyc13y711y731|name=7|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=6|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_0gu16zclchz1t0ozc6nk8gzw15oozwcqrqzeeazw6brbzwgk33z6ct521zgn03z6l6hz01fgc|name=7|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> |-<br /> | (1,0)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=8|style=raw}}&lt;ref name=&quot;MM-WLS&quot; /&gt;&lt;ref name=&quot;post172210&quot; /&gt;&lt;ref name=&quot;post172309&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=9|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_ksoxso0s950473228c8sw66w8gy3ee88eey3g8w66ws8c822374059s0osxoskz122556yd6431077acee23261w16232eeca7701346yd655221|name=10|style=raw}}&lt;ref name=&quot;post178496&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=9|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_0367p6oz0emm011zd8ovzxfrmzo03e2qpszp0b9hncz0o0dc2ssz3n0kkkl8z3f0oo0uszc08a4loze03q2fcszw3pdl2zo8cv31z2oknz01hhciez031321|name=10|style=raw}}&lt;ref name=&quot;post222440&quot; /&gt;<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|6]]&lt;ref name=&quot;MM-WLS&quot; /&gt;&lt;ref name=&quot;post172210&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|7]]&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6eeed72z05m04ogz0pvij1zqq8447z2v824sz0p699gzkv1423z5lhiiez09v4cogz0a6021z6777be4|name=8|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|7]]&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|6]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 7&lt;ref name=&quot;post172309&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[LWSS on MWSS 3|7]]&lt;ref name=&quot;post172210&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 7&lt;ref name=&quot;post172309&quot; /&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcw4q91easii90mssz033266yb66233y61w121|name=8|style=raw}}&lt;ref name=&quot;MM-WLS&quot; /&gt;&lt;ref name=&quot;post172215&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcxo08ckkokkc80oxcm6iuge0653kg0gk3560egui6mcz033266yb66233x1y91x33266yb66233|name=8|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=8|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[Spider|8]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | [[34P5H2V0|11]]&lt;ref name=&quot;post178547&quot; /&gt;&lt;ref name=&quot;post220743&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_obguck8y4qgkmkmgog0774gm4a8aaa732c82coxoc28c237aaa8a4mg4770gogmkmkgqy48kcugboz1231x1778460c62w126873x35d53y7333y735d53x378621w26c0648771x1321|name=11|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_gggy2o4qa6xoooy7okmkoy1cuh6sggs6hucy1okmkoy7ooox6aq4oy2gggz78d6cs4k51244w67x368268osaaa2a4d14ssw7w21w12w7wss41d4a2aaaso862863x76w44215k4sc6d87|name=11|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_2aordd6zwp21so8ogzxhhwhhzwj8g73231z8a3rmmc|name=11|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;post178547&quot; /&gt; &lt; h &amp;le; [[56P6H1V0|12]]<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 7&lt;ref name=&quot;post178722&quot; /&gt; &lt; h &amp;le; {{LinkCatagolue|xq6_8k64a213530ckk0c2m4swq3qws484c4swq3qws4m2c0kkc035312a46k8zyc1x71x17y371x17x1|name=9|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;MM-WLS&quot; /&gt; &lt; h &amp;le; [[86P6H3V0|13]]<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;post178547&quot; /&gt; &lt; h &amp;le; [[Loafer|10]]<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;MM-WLS&quot; /&gt; &lt; h &amp;le; [[Weekender|12]]<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref&gt;verified by DroneBetter in 5.7 hours with rlifesrc&lt;/ref&gt; &lt; h &amp;le; [[Soba|42]]<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> {{EmbedViewer<br /> |pname = knownspaceshipsbyheight<br /> |viewerconfig = #C [[ WIDTH 800 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Spaceships by height<br /> }}<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |+ style=&quot;text-align: left;&quot; | Single-phase height<br /> |-<br /> ! Velocity !! Asymmetric || Odd-symmetric&lt;br /&gt;(strict) || Even-symmetric&lt;br /&gt;(strict) || Gutter&lt;br /&gt;(strict) || Odd glide-symmetric&lt;br /&gt;(strict) || Even glide-symmetric&lt;br /&gt;(strict)<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28aga82ese28agga82ejt0g40s0cf1zx112731yk137211|name=8|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[64P2H1V0|8]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=8|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_32mmgozg0igke72z1n2q1z0qgm1z0hjrgz0a889be4z0lhhpd72z0ostz0l0m8zoeklozwkgine4zc46601|name=8|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[25P3H1V0.1|5]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=5|style=raw}}<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_0gu16zcdc1z0g8br1z111qjjzwo4kccz0cd01zw78bcczxmiiz135kn1zccc111z03u1ozx1|name=7|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=5|style=raw}}<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_0gu16zclchz1t0ozc6nk8gzw15oozwcqrqzeeazw6brbzwgk33z6ct521zgn03z6l6hz01fgc|name=6|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=7|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_0367p6oz0emm011zd8ovzxfrmzo03e2qpszp0b9hncz0o0dc2ssz3n0kkkl8z3f0oo0uszc08a4loze03q2fcszw3pdl2zo8cv31z2oknz01hhciez031321|name=8|style=raw}}&lt;ref name=&quot;post222444&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_w84m731gvec8o8cgwgc8o8cevg137m48z8b1011y5ee22eey51101b8|name=9|style=raw}}&lt;ref name=&quot;post222442&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=8|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|5]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|6]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6eeed72z05m04ogz0pvij1zqq8447z2v824sz0p699gzkv1423z5lhiiez09v4cogz0a6021z6777be4|name=7|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|6]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|5]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;post222547&quot; /&gt; &lt; h &amp;le; [[Two HWSS dragging boat|8]]<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[LWSS on MWSS 3|6]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_ah1197z286286s8zxt21z08g29is8z94118hz122223|name=7|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_g47j7a4z0rks72z34864zcihm2zgd2je4z02ece52z0kag95ze55996z8ln2z0gh4ecz0jew42z6aa666zw77e84z08e6ek8z1m8pe4z69hd8zo42c4z0r57s8z14spsa4|name=7|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcxo08ckkokkc80oxcm6iuge0653kg0gk3560egui6mcz033266yb66233x1y91x33266yb66233|name=7|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=7|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[Spider|7]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_32k0gc0cgz0grld433z03us1nsz06701ltz104c2za42iee|name=9|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_obguck8y4qgkmkmgog0774gm4a8aaa732c82coxoc28c237aaa8a4mg4770gogmkmkgqy48kcugboz1231x1778460c62w126873x35d53y7333y735d53x378621w26c0648771x1321|name=9|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_gggy2o4qa6xoooy7okmkoy1cuh6sggs6hucy1okmkoy7ooox6aq4oy2gggz78d6cs4k51244w67x368268osaaa2a4d14ssw7w21w12w7wss41d4a2aaaso862863x76w44215k4sc6d87|name=10|style=raw}}&lt;ref name=&quot;post222909&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_2aordd6zwp21so8ogzxhhwhhzwj8g73231z8a3rmmc|name=9|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> ==Known diagonal spaceships by diagonal width and height==<br /> These are measured in [[half-diagonal]]s, as the width of the intersection of a 1-cell-wide orthogonal ray with the cells that turn on during the spaceship's motion.<br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |+ style=&quot;text-align: left;&quot; | Minimum width<br /> |-<br /> ! Velocity !! Asymmetric !! Symmetric !! Gutter !! Glide-symmetric<br /> |-<br /> | (1,1)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|4]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=11|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=11|style=raw}}<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Glider|4]]<br /> |-<br /> |strict<br /> | style=&quot;background: #80ff80;&quot; | [[big glider|15]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[big glider|15]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_yig08wcc4kk8153zyf251pu2u1zycg61u602zy7oog08fge3zw84sx82b901z6923w8d01zx221|name=12|style=raw}}&lt;ref name=&quot;post172047&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_g0g056021m6gz8lh0gy1e776h2gsz01102mff1gca97w4cwgzy21446w6408g0123zya111|name=21|style=raw}}&lt;ref name=&quot;post223806&quot; /&gt;<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | [[67P5H1V1|15]]<br /> | style=&quot;background: #80ff80;&quot; | [[86P5H1V1|27]]<br /> | style=&quot;background: #80ff80;&quot; | [[86P5H1V1|27]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;!--rlifesrc--&gt; &lt; w &amp;le; {{LinkCatagolue|xq6_yzyj8mh15zyzy3g4484qba82am42f3zyzgg0c661aeoghgy2hi9gzyz1f6y31043g88rr8zysgg888077y7o9m42zyng0cu44mb4aa3cc0c4220a6022zyhgc26g044896013f8v0o8g761zyeo0e9842113xs8406753zya868g1gg402amocc87646czy3g8g224vgwgslh89h0174czy234c52og9854ke4p8152z08oo0464me6whjimz71x843o1x133zy1711|name=26|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 25&lt;!--rlifesrc--&gt; &lt; w &amp;le; {{LinkCatagolue|xq6_y2gowge9e1114zx462hg065d112b0448zkaae1fg32y2rc54ug06608z304w11ch05hujhy13wa6q8c8zy7cc011pg8y2374nozy91w14f1bbego0gggewbggzyl4404o2hg06k644448g0gsozyr2v01401xgg1o01zys12k8wgmm1p4550774zys1332y0dctwco9720cc8zyzy46ew4qkc0ggzyzyb669dew666ggozyzydee0ggx11113iigzyzyf23fowgg8o6518fggwgkk8zyzyi1w35446owo44mb16kk4ss6zyzyoo0s6bp2hzyzyp1wgvcd|name=33|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 25 &lt; w &amp;le; {{LinkCatagolue|xq6_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|name=55|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_yzyj8mh15zyzy3g4484qba82am42f3zyzgg0c661aeoghgy2hi9gzyz1f6y31043g88rr8zysgg888077y7o9m42zyng0cu44mb4aa3cc0c4220a6022zyhgc26g044896013f8v0o8g761zyeo0e9842113xs8406753zya868g1gg402amocc87646czy3g8g224vgwgslh89h0174czy234c52og9854ke4p8152z08oo0464me6whjimz71x843o1x133zy1711|name=26|style=raw}}&lt;ref name=&quot;post172047&quot; /&gt;&lt;!--24 disproven with WLS, rlifesrc has verified as far as 22--&gt;<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Lobster|31]]<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Lobster|31]]<br /> | style=&quot;background: #ffa0a0;&quot; | 21 &lt; w &amp;le; {{LinkCatagolue|xq7_y4oo04jmzy7751zy1ce32621y3g0oo08ogz033360gn6oogw4uhw111cc1xgcoz6670ggh104so0331y5330sm6zy033y011y6goc8o84zyeccco11soy1go4w647jg532zydoosx660jj20cc72y111zyhee2x77|name=65|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Walrus|24]]<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;!--rlifesrc--&gt; &lt; w &amp;le; {{LinkCatagolue|xq8_ybg811hk03r688zy9f90gfto403ewgo80oozy1o88oy211115xi8y111zsw2hc4csqv0gy337pzcsh894c98w80g873244zx3y0c6zy4333|name=51|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 19 &lt; w &amp;le; {{LinkCatagolue|xq8_ybg811hk03r688zy9f90gfto403ewgo80oozy1o88oy211115xi8y111zsw2hc4csqv0gy337pzcsh894c98w80g873244zx3y0c6zy4333|name=51|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Walrus|24]]<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | w &amp;le; {{LinkCatagolue|xq8_xeuoqpk880ggz8oo03b8qf1013j044gzx1hsxai862w11ko084oozy36186088gy4iguggzy78hn4gx8ggop111f04aa08zyb1120elnsw562y111cegzyh368gy99dczyk1050a8cccc8a8b0k0b088zyr3311211ehd231ggbuiozyz540ogp3o80kg1ac0gzyzx11win09g0k04jggo488zyzy622i01hhhtf04tot4zyzy81038qqu0cgw16e08g8czyzyiad0me3hw3rofgzyzyi1220o163fa48811acggwoozyzyn1x35224y0106g1e608ggzyzyt8lff0oo0ogi2a0811zyzyx21ko803ep843120b88bsozyzyzy31v544s4hce01050koozyzyzy311wfdb0gy21472zyzyzy91730ac4|name=24|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | w &amp;le; {{LinkCatagolue|xq8_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|name=51|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | w &amp;le; {{LinkCatagolue|xq8_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|name=51|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | w &amp;le; {{LinkCatagolue|xq8_2338iggy1gok8zx12d897x3f81psogk4zx8kem64cy613fbo4011uozy210i7vgy634622w6ko8oczy41w77ie82qcy566g0gzy7688oo09o0g0cc0gy131zye8f5y0231|name=35|style=raw}}<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;!--rlifesrc--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;!--rlifesrc--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;!--rlifesrc--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;!--rlifesrc--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |+ style=&quot;text-align: left;&quot; | Minimum height<br /> |-<br /> ! Velocity !! Asymmetric !! Symmetric (strict) !! Gutter (strict) !! Glide-symmetric (strict)<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | [[Glider|5]]&lt;ref name=&quot;post178496&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=13|style=raw}}&lt;ref name=&quot;post178496&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_g8i17z10fg0gogy1gzy33364o21jzy5110131t4xgcozya33wee40gwkc8zyh33jgggo0gzyj11x2n98g532zyp1w176s8zyv2444kk8153|name=14|style=raw}}&lt;ref name=&quot;post178496&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|5]]&lt;ref name=&quot;post178496&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_yvoic6332gkozypgs04s811gzyl4s68f11x123zyg8kg1731zyeg2289czy7oq8akis263zy2iac52z48k27138gszx247|name=13|style=raw}}&lt;ref name=&quot;post178496&quot; /&gt;<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | [[58P5H1V1|12]]&lt;ref name=&quot;post172628&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[58P5H1V1|12]]&lt;ref name=&quot;post172628&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[58P5H1V1|12]]&lt;ref name=&quot;post172628&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post172628&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post172628&quot; /&gt;<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #80ff80;&quot; | [[77P6H1V1|12]]&lt;ref name=&quot;post4365&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[77P6H1V1|12]]&lt;ref name=&quot;post4365&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post224014&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post224014&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post224014&quot; /&gt;<br /> |-<br /> |}<br /> <br /> ==Known spaceships by population==<br /> Herein, &quot;strict&quot; is used to refer to spaceships that cannot be decomposed into multiple smaller spaceships which still behave equivalently. (For instance, [[MWSS on MWSS 1]]'s MWSSs would emit their side sparks in both phases if separated, so it is strict, where {{LinkCatagolue|xq4_6frcxcrf6|name=a LWSS pair|style=raw}} is not.)<br /> <br /> The evolution sequences of all patterns with up to 8 cells have been classified, so all stable objects of &amp;le; 8 cells (or with predecessors thereof) are known. As such, all negative results here have 8 as an additional lower bound.&lt;ref&gt;{{LinkForumThread|f=2|t=3604|format=ref|title=Systematic survey of small patterns|author=Nick Gotts|date=November 28, 2018}}&lt;/ref&gt;<br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | [[64P2H1V0|64]]&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[64P2H1V0|64]]&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=66|style=raw}}&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[70P2H1V0.1|70]]&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_38h6kogzwiiqq241hiszw1y122q2imogzy88gmghezy6c08621|name=65|style=raw}}&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> |-<br /> | (1,0)c/3<br /> |rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[25P3H1V0.1|25]]&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;<br /> |rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Dart|34]]&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;<br /> |rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Turtle|44]]&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_16614e8o4aa82cc202cc28aa4o8e41661|name=50|style=raw}}&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;<br /> |rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | strict<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_xr3v488zcori2gzxnkzocc704zw3d1sg88zx333|name=52|style=raw}}&lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot; /&gt;<br /> |-<br /> | (1,0)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[37P4H1V0|37]]&lt;ref name=&quot;amling-c/4-pop-le-37&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[46P4H1V0|46]]&lt;ref name=&quot;post172207&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_13ho8gyeg8oh31zw134dh1i0s0s8w8s0s0i1hd431zy74b8228b4|name=58|style=raw}}&lt;ref name=&quot;post172249&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[46P4H1V0|46]]&lt;ref name=&quot;post172207&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_7094uz4ee2dd0kg0gzxs0kk08mk1zgoo0oo0k4142zg19hu2z30201|name=59|style=raw}}&lt;ref name=&quot;post179535&quot; /&gt;<br /> |-<br /> | (1,1)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|5]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=10|style=raw}}&lt;ref name=&quot;amling-(1,1)c/4-pop-le-9&quot; /&gt;&lt;ref name=&quot;post219270&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=10|style=raw}}&lt;ref name=&quot;amling-(1,1)c/4-pop-le-9&quot; /&gt;&lt;ref name=&quot;post219270&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Glider|5]]<br /> |-<br /> | strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 29&lt;ref name=&quot;post219270&quot; /&gt; &lt; p &amp;le; {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=37|style=raw}}<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 29&lt;ref name=&quot;post219270&quot; /&gt; &lt; p &amp;le; {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=50|style=raw}}<br /> |-<br /> | pure<br /> | style=&quot;background: #ffa0a0;&quot; | 27&lt;ref name=&quot;post219697&quot; /&gt; &lt; p &amp;le; [[B29|29]]<br /> |-<br /> | (2,0)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|9]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6frcxcrf6|name=18|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6rucwcur6|name=18|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6frcxcrf6|name=18|style=raw}}<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|9]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6frcx6frc|name=18|style=raw}}<br /> |-<br /> | strict<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|20]]&lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot; /&gt;&lt;ref name=&quot;NiemiecCounts&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_e9885zxe994o10czy3g9fzx79921803z7911a|name=48|style=raw}}&lt;ref name=&quot;post203118&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|20]]&lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot; /&gt;&lt;ref name=&quot;NiemiecCounts&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Two HWSS dragging boat|32]]&lt;ref name=&quot;post203142&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[LWSS on MWSS 1|20]]&lt;ref name=&quot;NiemiecCounts&quot; /&gt;&lt;ref name=&quot;post203054&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Big A|32]]&lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot; /&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Spider|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Spider|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=116|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Spider|58]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P5H1V1|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P5H1V1|58]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P5H1V1|58]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> |rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[30P5H2V0|30]]&lt;ref name=&quot;amling-2c/5-pop-le-31&quot; /&gt;<br /> |rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[44P5H2V0|44]]&lt;ref name=&quot;post177064&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_0gggwmdhdmggwggmdhdmwgggz2h9nx1x22w22x1xn9h2|name=60|style=raw}}&lt;ref name=&quot;post181787&quot; /&gt;<br /> |rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[44P5H2V0|44]]&lt;ref name=&quot;post177064&quot; /&gt;<br /> |rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> |strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[70P5H2V0|70]]&lt;ref name=&quot;post220821&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_ggg035d2sg0gs2d530gggz3sfcwc8r2o2r8cwcfs3|name=57|style=raw}}&lt;ref name=&quot;post181755&quot; /&gt;<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[56P6H1V0|56]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_eaqqrexcswscxerqqaexeaqqrexcswscxerqqaezy2c330a66a033cybc330a66a033czy331y213yd31y213|name=112|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[56P6H1V0|56]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_eaqqrexcswscxerqqaexeaqqrexcswscxerqqaezy2c330a66a033cybc330a66a033czy331y213yd31y213|name=112|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[77P6H1V1|77]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[77P6H1V1|77]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_yzyoos296zyzyioo638011zyzyagggweeee442zyzy7skitc74cc6zyzy4sssw8f6zyzw8c4j30971zywg84m66zyrgo4ic011zylggc6g033zyissst984zyao84rpf8ooczy7ooo11hvczy1go8660jf3z0g8cccw1z1221|name=154|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Seal|170]]<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[72P6H2V0|72]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[72P6H2V0|72]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_0g0ggchp92c608gggo8e6mgz1s612vy42648s3ep1ssszg7cg8vy48c427oejg777z010116hji86c0211132ecd1|name=128|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[72P6H2V0|72]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_8k64a213530ckk0c2m4swq3qws484c4swq3qws4m2c0kkc035312a46k8zyc1x71x17y371x17x1|name=110|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_w4a2a8jj8a2a4zy0j4ijji4jzx3313rr3133z08460mussum0648zxdj8gggg8jdzee8c0k666mk0sgeezw301y2221|name=129|style=raw}}<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Sir Robin|282]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[86P6H3V0|86]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[86P6H3V0|86]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_y2ogm6e3z8suj23aqaa98gzo605y01345024ozgrodwgokmhl821z013626qaa2kzy43336|patternname=104|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_y2c2h17071h2cz0g8c2v0ng2u0u2gn0v2c8gz4a20ia03r1x1r30ai02a4zwgkm83y538mkgzy14y74|name=108|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Loafer|20]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_3nw17862026871wn3z6952y72596|name=40|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_26871wn3y03nw17862zy12596y06952|name=40|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_26871wn3x3nw17862zy12596x6952|name=40|style=raw}}<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> |strict<br /> | style=&quot;background: #ffa0a0;&quot; |p &amp;le; [[taco|90]]<br /> | style=&quot;background: #ffa0a0;&quot; |p &amp;le; {{LinkCatagolue|xq7_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|name=684|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; |p &amp;le; [[taco|90]]<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Lobster|83]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Lobster|83]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_y4oo04jmzy7751zy1ce32621y3g0oo08ogz033360gn6oogw4uhw111cc1xgcoz6670ggh104so0331y5330sm6zy033y011y6goc8o84zyeccco11soy1go4w647jg532zydoosx660jj20cc72y111zyhee2x77|name=166|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Weekender|36]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_7dfxg88gxfd7x7dfxg88gxfd7zw123u2222u321y3123u2222u321|name=72|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Weekender|36]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_7dfxg88gxfd7x7dfxg88gxfd7zw123u2222u321y3123u2222u321|name=72|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[232P7H3V0|232]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[232P7H3V0|232]]<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[232P7H3V0|232]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Walrus|68]]<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Walrus|68]]<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[74P8H2V0|74]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_1263hoc6coh3621zxo60l2l06ozwvw2o0o2wvz0o0rjpxpjr0ozcfhi3108013ihfczxduik9kiud|name=121|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_x6atw3becy4ceb3wta6zgcxcqcqcxcgwgcxcqcqcxcgz02e4m1u0u1m4e2y02e4m1u0u1m4e2zxiigmgmgiiy4iigmgmgiizy11x1y81x1|name=148|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_x6atw3becy3ceb3wta6zgcxcqcqcxcg0gcxcqcqcxcgz02e4m1u0u1m4e2x2e4m1u0u1m4e2zxiigmgmgiiy3iigmgmgiizy11x1y71x1|name=148|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[74P8H2V0|74]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_x6atw3becy46atw3beczgcxcqcqcxcgwgcxcqcqcxcgz02e4m1u0u1m4e2y02e4m1u0u1m4e2zxiigmgmgiiy4iigmgmgiizy11x1y81x1|name=148|style=raw}}<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_x67xecgy6ggz84gevjrgu810223wsp631118aczx3otoy46408gzy2oic6332gko0111zy0c81hzy2223|name=89|style=raw}}<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[31P8H4V0|31]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P8H4V0|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_0ooc4rbhe644w446ehbr4cooz6d73x7frcy0crf7x37d6|name=62|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P8H4V0|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_027de6eozgocss5bor7266z0hhy0rz13677kq3rsz08smece3|name=62|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_0sighgazy1egq40ooz79111895zsiggg2ikzy1e1b4z0791h1a|name=62|style=raw}}<br /> |}<br /> <br /> ==Full Censuses==<br /> This section contains details on searches that completely cover all ships in a particular search space. For example, all c/4 orthogonal ships of width 10. There are infinitely many such ships, but a finite collection can be made that includes all possible rows present in a width-10 c/4 orthogonal ship. This section only includes census containing at least one ship.<br /> <br /> ===c/2 orthogonal===<br /> <br /> * All (1,0)c/2 ships up to a population of 127 cells&lt;ref name=&quot;post175793&quot; /&gt; (total number of ships only; complete stamp collection up to 80 cells&lt;ref name=&quot;post171031&quot; /&gt;)<br /> * All (2,0)c/4 ships up to a population of 25 cells (28 ships)&lt;ref name=&quot;NiemiecCounts&quot; /&gt;&lt;ref name=&quot;post203054&quot; /&gt;<br /> * All (2,0)c/4 odd-symmetric ships up to a population of 35 cells (4 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], [[Big A]], and [[X66]])&lt;ref name=&quot;post172601&quot; /&gt;<br /> * All (2,0)c/4 even-symmetric ships up to a population of 48 cells ({{LinkCatagolue|xq4_e9885zxe994o10czy3g9fzx79921803z7911a|name=1 strict ship|style=raw}})&lt;ref name=&quot;post203118&quot; /&gt;<br /> * All (2,0)c/4 even-glide-symmetric ships up to a population of 35 cells ([[Two HWSS dragging boat|1 strict ship]])&lt;ref name=&quot;post203142&quot; /&gt;<br /> * All (2,0)c/4 ships up to width 11 (7 ships)&lt;ref name=&quot;post126570&quot; /&gt;<br /> * All (2,0)c/4 ships up to single-phase width 9 (3 width-4 ships: [[LWSS]], [[MWSS]], and [[HWSS]]; [[MWSS on MWSS 3|1 width-8 ship]]; 18 width-9 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/4 ships up to height 7 (strings of interacting [[lightweight spaceship|lightweight]] and [[middleweight spaceship|middleweight]] spaceships only)&lt;ref name=&quot;post172309&quot; /&gt;<br /> * All (2,0)c/4 ships up to single-phase height 6 ({{LinkCatagolue|xq4_6ud72zuf92iszogl58oz3vk221z33572|name=this ship|style=raw}} and strings of interacting [[lightweight spaceship|lightweight]] and [[middleweight spaceship|middleweight]] spaceships)&lt;ref name=&quot;post222547&quot; /&gt;<br /> * All (2,0)c/4 odd-symmetric ships up to width 15 (6 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], [[X66]], and three [[hivenudger]] variants)&lt;ref name=&quot;MM2&quot;/&gt;<br /> * All (2,0)c/4 odd-symmetric ships up to single-phase width 13 (2 width-9 ships: [[MWSS on MWSS 1]] and [[HWSS on HWSS 1]]; [[X66|1 width-11 ship]]; [[hivenudger|9 width-13 ships]])&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/4 gutter-symmetric ships up to width 17 (3 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], and [[X66]])&lt;ref name=&quot;MM2&quot;/&gt;<br /> * All (2,0)c/4 odd-glide-symmetric ships up to single-phase width 14 (3 width-4 ships: [[LWSS]], [[MWSS]], and [[HWSS]]; {{LinkCatagolue|xq4_i1hfw21hfz01170lhu6z0gq235d488zeeidam62ggvczwqv0r8753zxh0dn6zwce0cl6|name=1 width-12 ship|style=raw}}; 15 width-14 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/4 even-glide-symmetric ships up to single-phase width 13 (2 ships: [[two HWSS dragging boat]] and [[comma-pusher]])&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/4 ships up to width 13 with a population of 50 or fewer cells&lt;ref name=&quot;post59813&quot; /&gt;<br /> * All (4,0)c/8 ships up to width 11 ({{LinkCatagolue|xq8_e9885e88wgs046gy34eb766cg22aazsigg83cd47307q0ne3qsma4e68mmuw177w33244zym11|name=1 period-8 ship|style=raw}})&lt;ref name=&quot;post126570&quot; /&gt;<br /> <br /> ===c/3 orthogonal===<br /> <br /> * All (1,0)c/3 ships up to a population of 50 cells&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;&lt;ref name=&quot;post203269&quot; /&gt;<br /> * All (1,0)c/3 odd-symmetric ships up to a population of 67 cells (26 strict ships)&lt;ref name=&quot;post172607&quot; /&gt;<br /> * All (1,0)c/3 even-symmetric ships up to a population of 86 cells (29 strict ships)&lt;ref name=&quot;post172640&quot; /&gt;<br /> * All (1,0)c/3 ships up to width 13&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/3 ships up to height 6 ([[25P3H1V0.1|1 height-5 ship]]; 4 height-6 ships)&lt;ref name=&quot;post172309&quot; /&gt;<br /> * All (1,0)c/3 ships up to single-phase height 5 (infinitely many ships)&lt;ref name=&quot;post222435&quot; /&gt;<br /> * All (1,0)c/3 odd-symmetric ships up to width 19 ([[dart|1 width-15 ship]]; infinitely many width-17+ ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/3 odd-symmetric ships up to single-phase width 15 ([[dart|1 ship]])&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/3 even-symmetric ships up to width 20 ([[turtle|1 width-12 ship]]; infinitely many width-14+ ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/3 even-symmetric ships up to single phase width 12 ([[turtle|1 width-10 ship]]; 0 width-12 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/3 gutter-symmetric ships up to width 21 ([[brain|1 width-17 ship]]; infinitely many width-19+ ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/3 gutter-symmetric ships up to single-phase width 17 ([[brain|1 ship]])&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/6 even-symmetric ships up to width 18&lt;ref name=&quot;coe5&quot; /&gt;<br /> * All (2,0)c/6 even-glide-symmetric ships up to width 18&lt;ref name=&quot;coe5&quot; /&gt;<br /> <br /> ===c/4 orthogonal===<br /> <br /> * All (1,0)c/4 ships up to a population of 37 cells ([[37P4H1V0|1 ship]])&lt;ref name=&quot;amling-c/4-pop-le-37&quot; /&gt;<br /> * All (1,0)c/4 odd-symmetric ships up to a population of 61 cells (4 ships: [[46P4H1V0]], {{LinkCatagolue|xq4_7094uz4ee2dd0kg0gzxs0kk08mk1zgoo0oo0k4142zg19hu2z30201|name=this 59-cell ship|style=raw}}, {{LinkCatagolue|xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221|name=this 61-cell ship|style=raw}}, and {{LinkCatagolue|xq4_mp6z5992gozy016u8c44czy1pv5c99dz844g36zr7pz01|name=this 61-cell ship|style=raw}})&lt;ref name=&quot;post179535&quot; /&gt;<br /> * All (1,0)c/4 even-symmetric ships up to a population of 58 cells ({{LinkCatagolue|xq4_13ho8gyeg8oh31zw134dh1i0s0s8w8s0s0i1hd431zy74b8228b4|name=1 ship|style=raw}})&lt;ref name=&quot;post172249&quot; /&gt;<br /> * All (1,0)c/4 ships up to width 11&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/4 ships up to height 8 ({{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=1 ship|style=raw}})&lt;ref name=&quot;post172309&quot; /&gt;<br /> * All (1,0)c/4 ships up to single-phase height 7 ({{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=1 ship|style=raw}})&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/4 odd-symmetric ships up to width 17&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/4 odd-symmetric ships up to single-phase width 11 (9 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/4 even-symmetric ships up to width 18 (2 width-16 ships: {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=this ship|style=raw}} and {{LinkCatagolue|xq4_wb1o4w4o1bzw7ssowoss7zy1cccczw821dccd128zxddugguddz1tb201dd102bt1zefhsiswsishfezw2e033330e2zw373y0373|name=the same ship with a tagalong|style=raw}}; infinitely many width-18 ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/4 even-symmetric ships up to single-phase width 14 (2 ships: {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=this ship|style=raw}} and {{LinkCatagolue|xq4_wb1o4w4o1bzw7ssowoss7zy1cccczw821dccd128zxddugguddz1tb201dd102bt1zefhsiswsishfezw2e033330e2zw373y0373|name=the same ship with a tagalong|style=raw}})&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/4 gutter-symmetric ships up to width 19&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> <br /> ===c/4 diagonal===<br /> <br /> * All (1,1)c/4 ships up to a population of 27 cells (3 ships: [[glider]], [[crab]], and [[wings]])&lt;ref name=&quot;post219697&quot; /&gt;<br /> * All (1,1)c/4 symmetric ships in an {{times|18|18}} bounding box ({{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=1 strict ship|style=raw}})&lt;ref name=&quot;post172628&quot; /&gt;<br /> * All (1,1)c/4 gutter-symmetric ships in a {{times|19|19}} bounding box ({{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=1 strict ship|style=raw}})&lt;ref name=&quot;post172628&quot; /&gt;<br /> * All (1,1)c/4 ships up to diagonal height 13 ([[glider|1 height-5 ship]], 5 height-13 ships)&lt;ref name=&quot;post223806&quot; /&gt;<br /> * All (1,1)c/4 ships up to diagonal width 13 ([[glider|1 width-4 ship]], {{LinkCatagolue|xq4_yig08wcc4kk8153zyf251pu2u1zycg61u602zy7oog08fge3zw84sx82b901z6923w8d01zx221|name=1 width-12 ship|style=raw}}, 2 width-13 ships: {{LinkCatagolue|xq4_8k05eu08gzxa20e2q5szy068d3x2a0248zy8oo323148ezya2c6|name=this ship|style=raw}} and {{LinkCatagolue|xq4_yecc2a851zy5gk064c60121zxokga21zwsq2z42kcz361|name=this ship|style=raw}})&lt;ref name=&quot;post172047&quot; /&gt;<br /> * All (1,1)c/4 symmetric ships up to diagonal width 19 ([[big glider|1 wdith-15 ship]])&lt;ref name=&quot;post223806&quot; /&gt;<br /> * All (1,1)c/4 gutter-symmetric ships up to diagonal width 23 ([[big glider|1 width-15 ship]], {{LinkCatagolue|xq4_y2cnrmxozcsmasy1m0qi6gzx880th4d080203148ezy513hko|name=1 width-21 ship|style=raw}}, 6 width-23 ships)&lt;ref name=&quot;post223806&quot; /&gt;<br /> * All (1,1)c/4 ships up to orthogonal width 10 ([[glider|1 width-3 ship]], 4 width-10 ships)&lt;ref name=&quot;post172047&quot; /&gt;<br /> * All (1,1)c/4 ships up to single-phase orthogonal width 9 ([[glider|1 width-3 ship]], [[B29|1 width-7 ship]], [[swan|1 width-8 ship]], 12 width-9 ships)&lt;ref name=&quot;post172047&quot; /&gt;<br /> <br /> ===c/5 orthogonal===<br /> <br /> * All (1,0)c/5 ships up to height 8&lt;ref name=&quot;post172604&quot; /&gt;<br /> * All (1,0)c/5 even-symmetric ships up to width 18&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/5 gutter-symmetric ships up to width 19&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> <br /> ===c/5 diagonal===<br /> <br /> * All (1,1)c/5 ships up to diagonal height 12 ([[58P5H1V1|1 ship]])&lt;ref name=&quot;post172628&quot; /&gt;<br /> * All (1,1)c/5 ships up to diagonal width 16 ([[67P5H1V1|1 ship]])&lt;ref name=&quot;post172309&quot; /&gt;<br /> * All (1,1)c/5 symmetric ships up to diagonal width 27 (2 ships: [[86P5H1V1]] and {{LinkCatagolue|xq5_yjggn6kzyf8k0cdh7qzyabm4ooot1sy01aik6st0764zy6ait0h0h1ogxtt506495zy4dv8e4spg3aaxb596c8z0ggo0407321ok8urao35161zoh11xggg511zx64w33|name=this ship|style=raw}})&lt;ref name=&quot;post172133&quot; /&gt;<br /> * All (1,1)c/5 gutter-symmetric ships up to diagonal width 29 ([[86P5H1V1|1 ship]])&lt;ref name=&quot;post172309&quot; /&gt;<br /> <br /> ===2c/5 orthogonal===<br /> <br /> * All (2,0)c/5 ships up to a population of 37 cells (2 ships: [[30P5H2V0]] and [[34P5H2V0]])&lt;ref name=&quot;post221244&quot; /&gt;<br /> * All (2,0)c/5 odd-symmetric ships up to a population of 57 cells (2 ships: [[44P5H2V0]] and {{LinkCatagolue|xq5_ggg035d2sg0gs2d530gggz3sfcwc8r2o2r8cwcfs3|name=this ship|style=raw}})&lt;ref name=&quot;post181755&quot; /&gt;<br /> * All (2,0)c/5 even-symmetric ships up to a population of 74 cells (3 strict ships: [[70P5H2V0]], {{LinkCatagolue|xq5_y4j55ewe55jzy1gqf46ay0a64fqgz7pvow4x11w11x4wovp7z01yi1|name=this ship|style=raw}}, and {{LinkCatagolue|xq5_y243hf33fh34z27fs0s3ooy0oo3s0sf72zx12d9fy2f9d21|name=this ship|style=raw}})&lt;ref name=&quot;post221244&quot; /&gt;<br /> * All (2,0)c/5 ships up to width 12 ({{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=1 width-10 ship|style=raw}}; infinitely many width-11 ships; infinitely many width-12 ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/5 ships up to single-phase width 9 ({{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=1 width-8 ship|style=raw}}; 0 width-9 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/5 odd-symmetric ships up to width 17 ([[44P5H2V0|1 width-15 ship]]; infinitely many width-17 ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/5 even-symmetric ships up to width 20 ([[70P5H2V0|1 ship]])&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/5 even-symmetric ships up to single-phase width 18 ([[70P5H2V0|1 ship]])&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/5 gutter-symmetric ships up to width 21 ([[44P5H2V0|1 width-15 ship]]; {{LinkCatagolue|xq5_gv9r4oy3o4r9vgz11cv011gxg110vc11zw2m5j9rg0gr9j5m2zwecl52pxp25lcez066kpc9gxg9cpk66zxhd8l11011l8dhz06v1f0eic0cie0f1v6zx152y3251|name=1 width-19 ship|style=raw}}; infinitely many width-21 ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/5 gutter-symmetric ships up to single-phase width 17 ([[44P5H2V0|1 width-15 ship]]; 0 width-17 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (4,0)c/10 odd-symmetric ships up to width 15 (3 period-10 ships)&lt;ref name=&quot;MM2&quot;/&gt;<br /> <br /> ===c/6 orthogonal===<br /> <br /> * All (1,0)c/6 even-symmetric ships up to width 18 ([[dragon|1 ship]])&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> <br /> ===c/6 diagonal===<br /> <br /> * All (1,1)c/6 ships up to diagonal height 12 ([[77P6H1V1|1 ship]])&lt;ref name=&quot;post224014&quot; /&gt;<br /> <br /> ===2c/7 orthogonal===<br /> <br /> * All (2,0)c/7 even-symmetric ships up to width 22 (2 ships: [[weekender]] and {{LinkCatagolue|xq7_wcufecxggxcefuczy0111agmhhmga111zxcigc01y010cgiczy044c8y28c44zy2n08888880nzwgski1y41iksgz37aqikja066660ajkiqa73zw3kmk203y0302kmk3zy0245umowomu542zy124119kk91142zxo4kkiey0eikk4ozy02c87y278c2zx6f78y487f6z02dlg2ty4t2gld2zw730ooy4oo037|name=weekender + tagalong|style=raw}})&lt;ref name=&quot;post126432&quot; /&gt;<br /> <br /> ===c/10 orthogonal===<br /> <br /> * All (1,0)c/10 even-symmetric ships up to width 12 ([[copperhead|1 width-10 ship]]; infinitely many width-12 ships)&lt;ref name=&quot;MM2&quot;/&gt;<br /> <br /> == See also ==<br /> * [[List of spaceships]]<br /> * [[User:Sokwe/Spaceship searches]]<br /> <br /> == Notes==<br /> &lt;references group=&quot;n&quot;&gt;<br /> &lt;ref name=&quot;sep&quot;&gt;Note that this is not recognised as a single contiguous spaceship by [[apgsearch]]'s object separation.&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;MM1&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 38623<br /> |author = Matthias Merzenich<br /> |date = December 24, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM2&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 125537<br /> |author = Matthias Merzenich<br /> |date = March 17, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM3&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 127064<br /> |author = Matthias Merzenich<br /> |date = March 26, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM4&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 127999<br /> |author = Matthias Merzenich<br /> |date = April 14, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM5&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 128542<br /> |author = Matthias Merzenich<br /> |date = April 19, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM6&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 129058<br /> |author = Matthias Merzenich<br /> |date = April 26, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM7&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 129655<br /> |author = Matthias Merzenich<br /> |date = May 5, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10g&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 138201<br /> |author = Matthias Merzenich<br /> |date = November 29, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10odd&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Help me finish this c/8 search<br /> |p = 90290<br /> |author = Matthias Merzenich<br /> |date = February 25, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10even&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 155106<br /> |author = Matthias Merzenich<br /> |date = December 22, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-3c/6-w20-asym&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 156124<br /> |author = Keith Amling<br /> |date = January 18, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;chen-3c/7-w31gutter&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 118727<br /> |author = Dylan Chen<br /> |date = January 10, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-c/2-pop-le-98&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = p171152<br /> |author = Keith Amling<br /> |date = November 14, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-c/3-pop-le-49&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 171012<br /> |author = Keith Amling<br /> |date = November 12, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-c/4-pop-le-37&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 171705<br /> |author = Keith Amling<br /> |date = November 22, 2023<br /> }}&lt;/ref&gt;&lt;!--maybe p171321 reveals &amp;le; 35 disproven but he didn't explicitly say--&gt;<br /> &lt;ref name=&quot;amling-(1,1)c/4-pop-le-9&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 171151<br /> |author = Keith Amling<br /> |date = November 13, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-2c/5-pop-le-31&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 171254<br /> |author = Keith Amling<br /> |date = November 15, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172047&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172047<br /> |author = Matthias Merzenich<br /> |date = November 27, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post126432&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 126432<br /> |author = Matthias Merzenich<br /> |date = March 21, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post126570&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 126570<br /> |author = Matthias Merzenich<br /> |date = March 22, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172207&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172207<br /> |author = Keith Amling<br /> |date = November 29, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172249&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172249<br /> |author = Keith Amling<br /> |date = November 30, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172310<br /> |author = Keith Amling<br /> |date = December 1, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172309&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172309<br /> |author = Matthias Merzenich<br /> |date = December 1, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172604&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172604<br /> |author = Matthias Merzenich<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172601&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172601<br /> |author = Keith Amling<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172607&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172607<br /> |author = Keith Amling<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172628&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172628<br /> |author = Matthias Merzenich<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172640&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172640<br /> |author = Keith Amling<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;NiemiecCounts&quot;&gt;<br /> {{cite web<br /> |url=https://conwaylife.com/ref/mniemiec/objcount.htm<br /> |title=Life Object Counts<br /> |publisher=Mark Niemiec<br /> |accessdate=December 9, 2023}}&lt;/ref&gt;<br /> &lt;ref name=&quot;post175793&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 175793<br /> |author = Keith Amling<br /> |date = January 15, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post171031&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 171031<br /> |author = Keith Amling<br /> |date = November 13, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post177064&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 177064<br /> |author = Keith Amling<br /> |date = February 1, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;knightt-results&quot;&gt;<br /> {{cite web<br /> |url=https://github.com/Matthias-Merzenich/knightt-results<br /> |title=knightt results<br /> |publisher=Matthias Merzenich<br /> |accessdate=February 17, 2024}}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172133&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172133<br /> |author = Matthias Merzenich<br /> |date = November 28, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post59813&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 59813<br /> |author = Matthias Merzenich<br /> |date = May 7, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post4365&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: New small c/6 diagonal ship.<br /> |p = 4365<br /> |author = Matthias Merzenich<br /> |date = March 28, 2011<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post178496&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 178496<br /> |author = Matthias Merzenich<br /> |date = February 19, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post178547&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min height search results<br /> |p = 178547<br /> |author = Matthias Merzenich<br /> |date = February 20, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172210&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min height search results<br /> |p = 172210<br /> |author = Keith Amling<br /> |date = November 29, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172215&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min height search results<br /> |p = 172215<br /> |author = Keith Amling<br /> |date = November 29, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post178722&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min height search results<br /> |p = 178722<br /> |author = Matthias Merzenich<br /> |date = February 22, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post179535&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 179535<br /> |author = Keith Amling<br /> |date = March 2, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post181755&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 181755<br /> |author = Keith Amling<br /> |date = April 3, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post181787&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 181787<br /> |author = Keith Amling<br /> |date = April 4, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203054&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: amling search program principles discussion / brain dump<br /> |p = 203054<br /> |author = Keith Amling<br /> |date = February 4, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203118&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 203118<br /> |author = Keith Amling<br /> |date = February 4, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203142&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 203142<br /> |author = Keith Amling<br /> |date = February 5, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203269&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 203269<br /> |author = Keith Amling<br /> |date = February 6, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post217593&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 217593<br /> |author = Alex Greason<br /> |date = September 7, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post219270&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 219270<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = October 5, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post219697&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 219697<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = October 13, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post220743&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 220743<br /> |title = Re: LLSSS min height search results<br /> |author = Keith Amling<br /> |date = October 31, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post220821&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 220821<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = November 1, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post221244&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 221244<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = November 10, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222435&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222435<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = December 8, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222440&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222440<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = December 8, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222442&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222442<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = December 8, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222444&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222444<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = December 8, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222481&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222481<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = December 9, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222547&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222547<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = December 9, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222861&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222861<br /> |title = Re: LLSSS min height search results<br /> |author = Matthias Merzenich<br /> |date = December 17, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222837&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222837<br /> |title = Re: LLSSS min height search results<br /> |author = Keith Amling<br /> |date = December 17, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222909&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222909<br /> |title = Re: LLSSS min height search results<br /> |author = Keith Amling<br /> |date = December 19, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post223389&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 223389<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = December 31, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post223806&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 223806<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = January 10, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post224014&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 224014<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = January 14, 2026<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/POTY_2025_Nominee_Table&diff=175665 2026-10-06T23:37:56Z

<p>Sokwe: Added Hippo.69 to leaf bug gun credits for making major reductions</p> <hr /> <div>This table is intended to contain nominees for the 2025 Pattern of the Year competition as they will appear in the final nominee list. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot;<br /> !Number !! Name (with link) !! Authors !! Description<br /> |-<br /> | 01<br /> | [[Tarantula]]<br /> | [[Frank Everdij]]<br /> | This is tied with spider as the smallest known c/5 orthogonal spaceship by minimum population.<br /> |-<br /> | 02<br /> | [[P80 gliderless HWSS gun]]<br /> | [[iNoMed]], [[Caleb R. Hilton]]<br /> | The smallest known HWSS gun.<br /> |-<br /> | 03<br /> | [https://conwaylife.com/forums/viewtopic.php?p=236399#p236399 New gun periods]<br /> | [[Matthias Merzenich]], [[400spartans]], [[James Pascua]], [[Period1GliderGun]], [[David Raucci]]<br /> | The first guns of periods 14 and 18, which were the smallest unsolved composite periods, with 14 being the smallest possible glider gun period.<br /> |-<br /> | 04<br /> | [[Unique_father_problem#Reductions|154-cell unsynthesizable still life]]<br /> | 400spartans<br /> | A new record smallest unsynthesizable still life.<br /> |-<br /> | 05<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223737#p223737 New sawtooths]<br /> | [[David Bell]], [[Evin]], [[Entity Valkyrie]]<br /> | A variety of new sawtooths with interesting properties, including new records for minimum repeating population and initial bounding box.<br /> |-<br /> | 06<br /> | [[Mannaz]] and [[water strider]]<br /> | FWKnightship<br /> | 31c/240 orthogonal spaceships using a new design that were the first of this speed to fit in a 16384 x 16384 LifeViewer window<br /> |-<br /> | 07<br /> | [[Leaf bug 2]] and [[Leaf_bug_2#Gun|Gun]]<br /> | [[Gustone]], Entity Valkyrie, [[Hippo.69]]<br /> | A new record smallest 31c/240 orthogonal spaceship which allowed the construction of the first guns for a spaceship of this speed.<br /> |-<br /> | 08<br /> | Glider gun reductions<br /> | Caleb R. Hilton, Matthias Merzenich, Period1GliderGun iNoMed, [[hotcrystal0]], et al.<br /> | New record smallest guns of various periods.<br /> |-<br /> | 09<br /> | [[Solifuge]]<br /> | [[Nora Brown]]<br /> | A (12,4)c/62 camelship that is by far the smallest macro-spaceship found by both bounding box and population.<br /> |-<br /> | 10<br /> | [[Unidimensional spaceship 1|Unidimensional spaceship]]<br /> | Hippo.69, [[Adam P. Goucher]], et al. (???)<br /> | The first constructed spaceship that is one cell thick in one of its phases.<br /> |-<br /> | 11<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7031 23-bit still life synthesis project]<br /> | [[vilc]], [[Mitchell Riley]], ???<br /> | Explicit glider syntheses for every 23-bit strict still life. <br /> |-<br /> | 12<br /> | [[Giraffe weevil]]<br /> | [[FWKnightship]]<br /> | A (28,7)c/448 giraffeship using a unique design where two gliders move a beehive by (28,7) while leaving copious debris behind.<br /> |-<br /> | 13<br /> | [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 2c/3] and [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 5c/9] transceivers<br /> | [[TigerCub414]], James Pascua, Entity Valkyrie<br /> | A new record fastest 2c/3 receiver with repeat time of 504 ticks, and the first ever 5c/9 transceiver.<br /> |-<br /> | 14<br /> | [[Thessalonic Demonoid]]<br /> | [[PK22]]<br /> | The first self-constructing spaceship using circuitry consisting only of blocks and fishhooks.<br /> |-<br /> | 15<br /> | [https://conwaylife.com/forums/viewtopic.php?&amp;p=222522#p222522 Stable MWSS-to-HWSS hammer]<br /> | Entity Valkyrie<br /> | A stable pattern the converts MWSSs to HWSSs on the fly with a repeat time of 2419 ticks.<br /> |-<br /> | 16<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 Direct glider to traffic jam]<br /> | Period1GliderGun<br /> | A modification of speed tunnel that creates a traffic jam signal with a repeat time of 78 ticks.<br /> |-<br /> | 17<br /> | [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 Fast] salvo [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 duplicators]<br /> | Entity Valkyrie, [[Luka Okanishi]]<br /> | A LWSS-on-LWSS duplicator with a repeat time of 58 ticks, and a glider triplet duplicator with a repeat time of 57 ticks. These are the fastest known duplicators for any salvo of spaceships.<br /> |-<br /> | 18<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 Exponentially spaced binary counter]<br /> | FWKnightship<br /> | ???<br /> |-<br /> | 19<br /> | [https://conwaylife.com/forums/viewtopic.php?p=202752#p202752 Faster highway robbers]<br /> | Entity Valkyrie, Evin, [[Jormungant]]<br /> | A series of record fast highway robbers with the fastest having a repeat time of 550 ticks.<br /> |-<br /> | 20<br /> | [https://conwaylife.com/forums/viewtopic.php?p=214731#p214731 Speed Demonoid gun]<br /> | [[enofet]]<br /> | A gun for a c/11 Speed Demonoid.<br /> |-<br /> | 21<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7071 nonstandard gliderless guns]<br /> | PK22, ???<br /> | Gliderless guns for nonstandard spaceships constructed using syntheses composed of XWSSs, rather than gliders.<br /> |-<br /> | 22<br /> | [[p3 bouncer]]<br /> | Matthias Merzenich, James Pascua, iNoMed<br /> | A period-3 reflector using the bouncer mechanism. This is the lowest period bouncer achieved so far.<br /> |-<br /> | 23<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223863#p223863 New Cordership technology]<br /> | David Bell<br /> | A variety of new cordership-based constructions including several record-smallest patterns of various types.<br /> |-<br /> | 24<br /> | [https://conwaylife.com/forums/viewtopic.php?p=224503#p224503 Small spaceship syntheses]<br /> | TigerCub414, Entity Valkyrie, [[Goldtiger997]], [[Dave Greene]], [[vilc]], [[KtT]], [[Dmitry Maitak]], [[Chris857]]<br /> | Syntheses of many small spaceships, including all known ships up to 35 cells.<br /> |-<br /> | 25<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7007 OWSS synthesis project]<br /> | Matthias Merzenich, [[Mark Niemiec]], [[David Buckingham]], [[Dieter Leithner]], [[Martin Grant]], Evin.<br /> | A demonstration that all OWSS flotillas consisting of a single OWSS supported on either side by a single standard spaceship can be synthesized.<br /> |-<br /> | 26<br /> | <br /> | <br /> | <br /> |-<br /> | 27<br /> | <br /> | <br /> | <br /> |-<br /> | 28<br /> | <br /> | <br /> | <br /> |-<br /> | 29<br /> | <br /> | <br /> | <br /> |}</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/POTY_2025_Nominee_Table&diff=175539 2026-10-02T05:10:05Z

<p>Sokwe: Added some wiki links for discoverers</p> <hr /> <div>This table is intended to contain nominees for the 2025 Pattern of the Year competition as they will appear in the final nominee list. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot;<br /> !Number !! Name (with link) !! Authors !! Description<br /> |-<br /> | 01<br /> | [[Tarantula]]<br /> | [[Frank Everdij]]<br /> | This is tied with spider as the smallest known c/5 orthogonal spaceship by minimum population.<br /> |-<br /> | 02<br /> | [[P80 gliderless HWSS gun]]<br /> | [[iNoMed]], [[Caleb R. Hilton]]<br /> | The smallest known HWSS gun.<br /> |-<br /> | 03<br /> | [https://conwaylife.com/forums/viewtopic.php?p=236399#p236399 New gun periods]<br /> | [[Matthias Merzenich]], [[400spartans]], [[James Pascua]], [[Period1GliderGun]], [[David Raucci]]<br /> | The first guns of periods 14 and 18, which were the smallest unsolved composite periods, with 14 being the smallest possible glider gun period.<br /> |-<br /> | 04<br /> | [[Unique_father_problem#Reductions|154-cell unsynthesizable still life]]<br /> | 400spartans<br /> | A new record smallest unsynthesizable still life.<br /> |-<br /> | 05<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223737#p223737 New sawtooths]<br /> | [[David Bell]], [[Evin]], [[Entity Valkyrie]]<br /> | A variety of new sawtooths with interesting properties, including new records for minimum repeating population and initial bounding box.<br /> |-<br /> | 06<br /> | [[Mannaz]] and [[water strider]]<br /> | FWKnightship<br /> | 31c/240 orthogonal spaceships using a new design that were the first of this speed to fit in a 16384 x 16384 LifeViewer window<br /> |-<br /> | 07<br /> | [[Leaf bug 2]] and [[Leaf_bug_2#Gun|Gun]]<br /> | [[Gustone]], Entity Valkyrie<br /> | A new record smallest 31c/240 orthogonal spaceship which allowed the construction of the first gun for a spaceship of this speed.<br /> |-<br /> | 08<br /> | Glider gun reductions<br /> | Caleb R. Hilton, Matthias Merzenich, Period1GliderGun iNoMed, [[hotcrystal0]], et al.<br /> | New record smallest guns of various periods.<br /> |-<br /> | 09<br /> | [[Solifuge]]<br /> | [[Nora Brown]]<br /> | A (12,4)c/62 camelship that is by far the smallest macro-spaceship found by both bounding box and population.<br /> |-<br /> | 10<br /> | [[Unidimensional spaceship 1|Unidimensional spaceship]]<br /> | [[Hippo.69]], [[Adam P. Goucher]], et al. (???)<br /> | The first constructed spaceship that is one cell thick in one of its phases.<br /> |-<br /> | 11<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7031 23-bit still life synthesis project]<br /> | [[vilc]], [[Mitchell Riley]], ???<br /> | Explicit glider syntheses for every 23-bit strict still life. <br /> |-<br /> | 12<br /> | [[Giraffe weevil]]<br /> | [[FWKnightship]]<br /> | A (28,7)c/448 giraffeship using a unique design where two gliders move a beehive by (28,7) while leaving copious debris behind.<br /> |-<br /> | 13<br /> | [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 2c/3] and [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 5c/9] transceivers<br /> | [[TigerCub414]], James Pascua, Entity Valkyrie<br /> | A new record fastest 2c/3 receiver with repeat time of 504 ticks, and the first ever 5c/9 transceiver.<br /> |-<br /> | 14<br /> | [[Thessalonic Demonoid]]<br /> | [[PK22]]<br /> | The first self-constructing spaceship using circuitry consisting only of blocks and fishhooks.<br /> |-<br /> | 15<br /> | [https://conwaylife.com/forums/viewtopic.php?&amp;p=222522#p222522 Stable MWSS-to-HWSS hammer]<br /> | Entity Valkyrie<br /> | A stable pattern the converts MWSSs to HWSSs on the fly with a repeat time of 2419 ticks.<br /> |-<br /> | 16<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 Direct glider to traffic jam]<br /> | Period1GliderGun<br /> | A modification of speed tunnel that creates a traffic jam signal with a repeat time of 78 ticks.<br /> |-<br /> | 17<br /> | [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 Fast] salvo [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 duplicators]<br /> | Entity Valkyrie, [[Luka Okanishi]]<br /> | A LWSS-on-LWSS duplicator with a repeat time of 58 ticks, and a glider triplet duplicator with a repeat time of 57 ticks. These are the fastest known duplicators for any salvo of spaceships.<br /> |-<br /> | 18<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 Exponentially spaced binary counter]<br /> | FWKnightship<br /> | ???<br /> |-<br /> | 19<br /> | [https://conwaylife.com/forums/viewtopic.php?p=202752#p202752 Faster highway robbers]<br /> | Entity Valkyrie, Evin, [[Jormungant]]<br /> | A series of record fast highway robbers with the fastest having a repeat time of 550 ticks.<br /> |-<br /> | 20<br /> | [https://conwaylife.com/forums/viewtopic.php?p=214731#p214731 Speed Demonoid gun]<br /> | [[enofet]]<br /> | A gun for a c/11 Speed Demonoid.<br /> |-<br /> | 21<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7071 nonstandard gliderless guns]<br /> | PK22, ???<br /> | Gliderless guns for nonstandard spaceships constructed using syntheses composed of XWSSs, rather than gliders.<br /> |-<br /> | 22<br /> | [[p3 bouncer]]<br /> | Matthias Merzenich, James Pascua, iNoMed<br /> | A period-3 reflector using the bouncer mechanism. This is the lowest period bouncer achieved so far.<br /> |-<br /> | 23<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223863#p223863 New Cordership technology]<br /> | David Bell<br /> | A variety of new cordership-based constructions including several record-smallest patterns of various types.<br /> |-<br /> | 24<br /> | [https://conwaylife.com/forums/viewtopic.php?p=224503#p224503 Small spaceship syntheses]<br /> | TigerCub414, Entity Valkyrie, [[Goldtiger997]], [[Dave Greene]], [[vilc]], [[KtT]], [[Dmitry Maitak]], [[Chris857]]<br /> | Syntheses of many small spaceships, including all known ships up to 35 cells.<br /> |-<br /> | 25<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7007 OWSS synthesis project]<br /> | Matthias Merzenich, [[Mark Niemiec]], [[David Buckingham]], [[Dieter Leithner]], [[Martin Grant]], Evin.<br /> | A demonstration that all OWSS flotillas consisting of a single OWSS supported on either side by a single standard spaceship can be synthesized.<br /> |-<br /> | 26<br /> | <br /> | <br /> | <br /> |-<br /> | 27<br /> | <br /> | <br /> | <br /> |-<br /> | 28<br /> | <br /> | <br /> | <br /> |-<br /> | 29<br /> | <br /> | <br /> | <br /> |}</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/POTY_2025_Nominee_Table&diff=175538 2026-10-02T05:06:30Z

<p>Sokwe: Added link for new gun periods entry</p> <hr /> <div>This table is intended to contain nominees for the 2025 Pattern of the Year competition as they will appear in the final nominee list. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot;<br /> !Number !! Name (with link) !! Authors !! Description<br /> |-<br /> | 01<br /> | [[Tarantula]]<br /> | [[Frank Everdij]]<br /> | This is tied with spider as the smallest known c/5 orthogonal spaceship by minimum population.<br /> |-<br /> | 02<br /> | [[P80 gliderless HWSS gun]]<br /> | [[iNoMed]], [[Caleb R. Hilton]]<br /> | The smallest known HWSS gun.<br /> |-<br /> | 03<br /> | [https://conwaylife.com/forums/viewtopic.php?p=236399#p236399 New gun periods]<br /> | [[Matthias Merzenich]], [[400spartans]], [[James Pascua]], [[Period1GliderGun]], [[David Raucci]]<br /> | The first guns of periods 14 and 18, which were the smallest unsolved composite periods, with 14 being the smallest possible glider gun period.<br /> |-<br /> | 04<br /> | [[Unique_father_problem#Reductions|154-cell unsynthesizable still life]]<br /> | 400spartans<br /> | A new record smallest unsynthesizable still life.<br /> |-<br /> | 05<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223737#p223737 New sawtooths]<br /> | [[David Bell]], [[Evin]], [[Entity Valkyrie]]<br /> | A variety of new sawtooths with interesting properties, including new records for minimum repeating population and initial bounding box.<br /> |-<br /> | 06<br /> | [[Mannaz]] and [[water strider]]<br /> | FWKnightship<br /> | 31c/240 orthogonal spaceships using a new design that were the first of this speed to fit in a 16384 x 16384 LifeViewer window<br /> |-<br /> | 07<br /> | [[Leaf bug 2]] and [[Leaf_bug_2#Gun|Gun]]<br /> | [[Gustone]], Entity Valkyrie<br /> | A new record smallest 31c/240 orthogonal spaceship which allowed the construction of the first gun for a spaceship of this speed.<br /> |-<br /> | 08<br /> | Glider gun reductions<br /> | Caleb R. Hilton, Matthias Merzenich, Period1GliderGun iNoMed, [[hotcrystal0]], et al.<br /> | New record smallest guns of various periods.<br /> |-<br /> | 09<br /> | [[Solifuge]]<br /> | [[Nora Brown]]<br /> | A (12,4)c/62 camelship that is by far the smallest macro-spaceship found by both bounding box and population.<br /> |-<br /> | 10<br /> | [[Unidimensional spaceship 1|Unidimensional spaceship]]<br /> | [[Hippo.69]], [[Adam P. Goucher]], et al. (???)<br /> | The first constructed spaceship that is one cell thick in one of its phases.<br /> |-<br /> | 11<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7031 23-bit still life synthesis project]<br /> | [[vilc]], [[Mitchell Riley]], ???<br /> | Explicit glider syntheses for every 23-bit strict still life. <br /> |-<br /> | 12<br /> | [[Giraffe weevil]]<br /> | [[FWKnightship]]<br /> | A (28,7)c/448 giraffeship using a unique design where two gliders move a beehive by (28,7) while leaving copious debris behind.<br /> |-<br /> | 13<br /> | [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 2c/3] and [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 5c/9] transceivers<br /> | [[TigerCub414]], James Pascua, Entity Valkyrie<br /> | A new record fastest 2c/3 receiver with repeat time of 504 ticks, and the first ever 5c/9 transceiver.<br /> |-<br /> | 14<br /> | [[Thessalonic Demonoid]]<br /> | [[PK22]]<br /> | The first self-constructing spaceship using circuitry consisting only of blocks and fishhooks.<br /> |-<br /> | 15<br /> | [https://conwaylife.com/forums/viewtopic.php?&amp;p=222522#p222522 Stable MWSS-to-HWSS hammer]<br /> | Entity Valkyrie<br /> | A stable pattern the converts MWSSs to HWSSs on the fly with a repeat time of 2419 ticks.<br /> |-<br /> | 16<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 Direct glider to traffic jam]<br /> | Period1GliderGun<br /> | A modification of speed tunnel that creates a traffic jam signal with a repeat time of 78 ticks.<br /> |-<br /> | 17<br /> | [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 Fast] salvo [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 duplicators]<br /> | Entity Valkyrie, [[Luka Okanishi]]<br /> | A LWSS-on-LWSS duplicator with a repeat time of 58 ticks, and a glider triplet duplicator with a repeat time of 57 ticks. These are the fastest known duplicators for any salvo of spaceships.<br /> |-<br /> | 18<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 Exponentially spaced binary counter]<br /> | FWKnightship<br /> | ???<br /> |-<br /> | 19<br /> | [https://conwaylife.com/forums/viewtopic.php?p=202752#p202752 Faster highway robbers]<br /> | Entity Valkyrie, Evin, [[Jormungant]]<br /> | A series of record fast highway robbers with the fastest having a repeat time of 550 ticks.<br /> |-<br /> | 20<br /> | [https://conwaylife.com/forums/viewtopic.php?p=214731#p214731 Speed Demonoid gun]<br /> | [[enofet]]<br /> | A gun for a c/11 Speed Demonoid.<br /> |-<br /> | 21<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7071 nonstandard gliderless guns]<br /> | PK22, ???<br /> | Gliderless guns for nonstandard spaceships constructed using syntheses composed of XWSSs, rather than gliders.<br /> |-<br /> | 22<br /> | [[p3 bouncer]]<br /> | Matthias Merzenich, James Pascua, iNoMed<br /> | A period-3 reflector using the bouncer mechanism. This is the lowest period bouncer achieved so far.<br /> |-<br /> | 23<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223863#p223863 New Cordership technology]<br /> | David Bell<br /> | A variety of new cordership-based constructions including several record-smallest patterns of various types.<br /> |-<br /> | 24<br /> | [https://conwaylife.com/forums/viewtopic.php?p=224503#p224503 Small spaceship syntheses]<br /> | TigerCub414, Entity Valkyrie, Goldtiger997, Dave Greene, vilc, KtT, Dmitry Maitak, Chris857<br /> | Syntheses of many small spaceships, including all known ships up to 35 cells.<br /> |-<br /> | 25<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7007 OWSS synthesis project]<br /> | Matthias Merzenich, [[Mark Niemiec]], [[David Buckingham]], [[Dieter Leithner]], [[Martin Grant]], Evin.<br /> | A demonstration that all OWSS flotillas consisting of a single OWSS supported on either side by a single standard spaceship can be synthesized.<br /> |-<br /> | 26<br /> | <br /> | <br /> | <br /> |-<br /> | 27<br /> | <br /> | <br /> | <br /> |-<br /> | 28<br /> | <br /> | <br /> | <br /> |-<br /> | 29<br /> | <br /> | <br /> | <br /> |}</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/POTY_2025_Nominee_Table&diff=175525 2026-09-30T03:36:04Z

<p>Sokwe: Added patterns nominated by Goldtiger997</p> <hr /> <div>This table is intended to contain nominees for the 2025 Pattern of the Year competition as they will appear in the final nominee list. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot;<br /> !Number !! Name (with link) !! Authors !! Description<br /> |-<br /> | 01<br /> | [[Tarantula]]<br /> | [[Frank Everdij]]<br /> | This is tied with spider as the smallest known c/5 orthogonal spaceship by minimum population.<br /> |-<br /> | 02<br /> | [[P80 gliderless HWSS gun]]<br /> | [[iNoMed]], [[Caleb R. Hilton]]<br /> | The smallest known HWSS gun.<br /> |-<br /> | 03<br /> | New gun periods<br /> | [[Matthias Merzenich]], [[400spartans]], [[James Pascua]], [[Period1GliderGun]], [[David Raucci]]<br /> | The first guns of periods 14 and 18, which were the smallest unsolved composite periods, with 14 being the smallest possible glider gun period.<br /> |-<br /> | 04<br /> | [[Unique_father_problem#Reductions|154-cell unsynthesizable still life]]<br /> | 400spartans<br /> | A new record smallest unsynthesizable still life.<br /> |-<br /> | 05<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223737#p223737 New sawtooths]<br /> | [[David Bell]], [[Evin]], [[Entity Valkyrie]]<br /> | A variety of new sawtooths with interesting properties, including new records for minimum repeating population and initial bounding box.<br /> |-<br /> | 06<br /> | [[Mannaz]] and [[water strider]]<br /> | FWKnightship<br /> | 31c/240 orthogonal spaceships using a new design that were the first of this speed to fit in a 16384 x 16384 LifeViewer window<br /> |-<br /> | 07<br /> | [[Leaf bug 2]] and [[Leaf_bug_2#Gun|Gun]]<br /> | [[Gustone]], Entity Valkyrie<br /> | A new record smallest 31c/240 orthogonal spaceship which allowed the construction of the first gun for a spaceship of this speed.<br /> |-<br /> | 08<br /> | Glider gun reductions<br /> | Caleb R. Hilton, Matthias Merzenich, Period1GliderGun iNoMed, [[hotcrystal0]], et al.<br /> | New record smallest guns of various periods.<br /> |-<br /> | 09<br /> | [[Solifuge]]<br /> | [[Nora Brown]]<br /> | A (12,4)c/62 camelship that is by far the smallest macro-spaceship found by both bounding box and population.<br /> |-<br /> | 10<br /> | [[Unidimensional spaceship 1|Unidimensional spaceship]]<br /> | [[Hippo.69]], [[Adam P. Goucher]], et al. (???)<br /> | The first constructed spaceship that is one cell thick in one of its phases.<br /> |-<br /> | 11<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7031 23-bit still life synthesis project]<br /> | [[vilc]], [[Mitchell Riley]], ???<br /> | Explicit glider syntheses for every 22-bit strict still life. <br /> |-<br /> | 12<br /> | [[Giraffe weevil]]<br /> | [[FWKnightship]]<br /> | A (28,7)c/448 giraffeship using a unique design where two gliders move a beehive by (28,7) while leaving copious debris behind.<br /> |-<br /> | 13<br /> | [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 2c/3] and [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 5c/9] transceivers<br /> | [[TigerCub414]], James Pascua, Entity Valkyrie<br /> | A new record fastest 2c/3 receiver with repeat time of 504 ticks, and the first ever 5c/9 transceiver.<br /> |-<br /> | 14<br /> | [[Thessalonic Demonoid]]<br /> | [[PK22]]<br /> | The first self-constructing spaceship using circuitry consisting only of blocks and fishhooks.<br /> |-<br /> | 15<br /> | [https://conwaylife.com/forums/viewtopic.php?&amp;p=222522#p222522 Stable MWSS-to-HWSS hammer]<br /> | Entity Valkyrie<br /> | A stable pattern the converts MWSSs to HWSSs on the fly with a repeat time of 2419 ticks.<br /> |-<br /> | 16<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 Direct glider to traffic jam]<br /> | Period1GliderGun<br /> | A modification of speed tunnel that creates a traffic jam signal with a repeat time of 78 ticks.<br /> |-<br /> | 17<br /> | [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 Fast] salvo [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 duplicators]<br /> | Entity Valkyrie, [[Luka Okanishi]]<br /> | A LWSS-on-LWSS duplicator with a repeat time of 58 ticks, and a glider triplet duplicator with a repeat time of 57 ticks. These are the fastest known duplicators for any salvo of spaceships.<br /> |-<br /> | 18<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 Exponentially spaced binary counter]<br /> | FWKnightship<br /> | ???<br /> |-<br /> | 19<br /> | [https://conwaylife.com/forums/viewtopic.php?p=202752#p202752 Faster highway robbers]<br /> | Entity Valkyrie, Evin, [[Jormungant]]<br /> | A series of record fast highway robbers with the fastest having a repeat time of 550 ticks.<br /> |-<br /> | 20<br /> | [https://conwaylife.com/forums/viewtopic.php?p=214731#p214731 Speed Demonoid gun]<br /> | [[enofet]]<br /> | A gun for a c/11 Speed Demonoid.<br /> |-<br /> | 21<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7071 nonstandard gliderless guns]<br /> | PK22, ???<br /> | Gliderless guns for nonstandard spaceships constructed using syntheses composed of XWSSs, rather than gliders.<br /> |-<br /> | 22<br /> | [[p3 bouncer]]<br /> | Matthias Merzenich, James Pascua, iNoMed<br /> | A period-3 reflector using the bouncer mechanism. This is the lowest period bouncer achieved so far.<br /> |-<br /> | 23<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223863#p223863 New Cordership technology]<br /> | David Bell<br /> | A variety of new cordership-based constructions including several record-smallest patterns of various types.<br /> |-<br /> | 24<br /> | [https://conwaylife.com/forums/viewtopic.php?p=224503#p224503 Small spaceship syntheses]<br /> | TigerCub414, Entity Valkyrie, Goldtiger997, Dave Greene, vilc, KtT, Dmitry Maitak, Chris857<br /> | Syntheses of many small spaceships, including all known ships up to 35 cells.<br /> |-<br /> | 25<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7007 OWSS synthesis project]<br /> | Matthias Merzenich, [[Mark Niemiec]], [[David Buckingham]], [[Dieter Leithner]], [[Martin Grant]], Evin.<br /> | A demonstration that all OWSS flotillas consisting of a single OWSS supported on either side by a single standard spaceship can be synthesized.<br /> |-<br /> | 26<br /> | <br /> | <br /> | <br /> |-<br /> | 27<br /> | <br /> | <br /> | <br /> |-<br /> | 28<br /> | <br /> | <br /> | <br /> |-<br /> | 29<br /> | <br /> | <br /> | <br /> |}</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/POTY_2025_Nominee_Table&diff=175524 2026-09-30T03:30:40Z

<p>Sokwe: Modified sawtooth entry and added cordership technology entry nominated by David Bell</p> <hr /> <div>This table is intended to contain nominees for the 2025 Pattern of the Year competition as they will appear in the final nominee list. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot;<br /> !Number !! Name (with link) !! Authors !! Description<br /> |-<br /> | 01<br /> | [[Tarantula]]<br /> | [[Frank Everdij]]<br /> | This is tied with spider as the smallest known c/5 orthogonal spaceship by minimum population.<br /> |-<br /> | 02<br /> | [[P80 gliderless HWSS gun]]<br /> | [[iNoMed]], [[Caleb R. Hilton]]<br /> | The smallest known HWSS gun.<br /> |-<br /> | 03<br /> | New gun periods<br /> | [[Matthias Merzenich]], [[400spartans]], [[James Pascua]], [[Period1GliderGun]], [[David Raucci]]<br /> | The first guns of periods 14 and 18, which were the smallest unsolved composite periods, with 14 being the smallest possible glider gun period.<br /> |-<br /> | 04<br /> | [[Unique_father_problem#Reductions|154-cell unsynthesizable still life]]<br /> | 400spartans<br /> | A new record smallest unsynthesizable still life.<br /> |-<br /> | 05<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223737#p223737 New sawtooths]<br /> | [[David Bell]], [[Evin]], [[Entity Valkyrie]]<br /> | A variety of new sawtooths with interesting properties, including new records for minimum repeating population and initial bounding box.<br /> |-<br /> | 06<br /> | [[Mannaz]] and [[water strider]]<br /> | FWKnightship<br /> | 31c/240 orthogonal spaceships using a new design that were the first of this speed to fit in a 16384 x 16384 LifeViewer window<br /> |-<br /> | 07<br /> | [[Leaf bug 2]] and [[Leaf_bug_2#Gun|Gun]]<br /> | [[Gustone]], Entity Valkyrie<br /> | A new record smallest 31c/240 orthogonal spaceship which allowed the construction of the first gun for a spaceship of this speed.<br /> |-<br /> | 08<br /> | Glider gun reductions<br /> | Caleb R. Hilton, Matthias Merzenich, Period1GliderGun iNoMed, [[hotcrystal0]], et al.<br /> | New record smallest guns of various periods.<br /> |-<br /> | 09<br /> | [[Solifuge]]<br /> | [[Nora Brown]]<br /> | A (12,4)c/62 camelship that is by far the smallest macro-spaceship found by both bounding box and population.<br /> |-<br /> | 10<br /> | [[Unidimensional spaceship 1|Unidimensional spaceship]]<br /> | [[Hippo.69]], [[Adam P. Goucher]], et al. (???)<br /> | The first constructed spaceship that is one cell thick in one of its phases.<br /> |-<br /> | 11<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7031 23-bit still life synthesis project]<br /> | [[vilc]], [[Mitchell Riley]], ???<br /> | Explicit glider syntheses for every 22-bit strict still life. <br /> |-<br /> | 12<br /> | [[Giraffe weevil]]<br /> | [[FWKnightship]]<br /> | A (28,7)c/448 giraffeship using a unique design where two gliders move a beehive by (28,7) while leaving copious debris behind.<br /> |-<br /> | 13<br /> | [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 2c/3] and [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 5c/9] transceivers<br /> | [[TigerCub414]], James Pascua, Entity Valkyrie<br /> | A new record fastest 2c/3 receiver with repeat time of 504 ticks, and the first ever 5c/9 transceiver.<br /> |-<br /> | 14<br /> | [[Thessalonic Demonoid]]<br /> | [[PK22]]<br /> | The first self-constructing spaceship using circuitry consisting only of blocks and fishhooks.<br /> |-<br /> | 15<br /> | [https://conwaylife.com/forums/viewtopic.php?&amp;p=222522#p222522 Stable MWSS-to-HWSS hammer]<br /> | Entity Valkyrie<br /> | A stable pattern the converts MWSSs to HWSSs on the fly with a repeat time of 2419 ticks.<br /> |-<br /> | 16<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 Direct glider to traffic jam]<br /> | Period1GliderGun<br /> | A modification of speed tunnel that creates a traffic jam signal with a repeat time of 78 ticks.<br /> |-<br /> | 17<br /> | [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 Fast] salvo [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 duplicators]<br /> | Entity Valkyrie, [[Luka Okanishi]]<br /> | A LWSS-on-LWSS duplicator with a repeat time of 58 ticks, and a glider triplet duplicator with a repeat time of 57 ticks. These are the fastest known duplicators for any salvo of spaceships.<br /> |-<br /> | 18<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 Exponentially spaced binary counter]<br /> | FWKnightship<br /> | ???<br /> |-<br /> | 19<br /> | [https://conwaylife.com/forums/viewtopic.php?p=202752#p202752 Faster highway robbers]<br /> | Entity Valkyrie, Evin, [[Jormungant]]<br /> | A series of record fast highway robbers with the fastest having a repeat time of 550 ticks.<br /> |-<br /> | 20<br /> | [https://conwaylife.com/forums/viewtopic.php?p=214731#p214731 Speed Demonoid gun]<br /> | [[enofet]]<br /> | A gun for a c/11 Speed Demonoid.<br /> |-<br /> | 21<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7071 nonstandard gliderless guns]<br /> | PK22, ???<br /> | Gliderless guns for nonstandard spaceships constructed using syntheses composed of XWSSs, rather than gliders.<br /> |-<br /> | 22<br /> | [[p3 bouncer]]<br /> | Matthias Merzenich, James Pascua, iNoMed<br /> | A period-3 reflector using the bouncer mechanism. This is the lowest period bouncer achieved so far.<br /> |-<br /> | 23<br /> | [https://conwaylife.com/forums/viewtopic.php?p=223863#p223863 New Cordership technology]<br /> | David Bell<br /> | A variety of new cordership-based constructions including several record-smallest patterns of various types.<br /> |-<br /> | 24<br /> | <br /> | <br /> | <br /> |-<br /> | 25<br /> | <br /> | <br /> | <br /> |-<br /> | 26<br /> | <br /> | <br /> | <br /> |-<br /> | 27<br /> | <br /> | <br /> | <br /> |-<br /> | 28<br /> | <br /> | <br /> | <br /> |-<br /> | 29<br /> | <br /> | <br /> | <br /> |}</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/POTY_2025_Nominee_Table&diff=175523 2026-09-30T02:49:05Z

<p>Sokwe: Added patterns nominated by I6_I6</p> <hr /> <div>This table is intended to contain nominees for the 2025 Pattern of the Year competition as they will appear in the final nominee list. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot;<br /> !Number !! Name (with link) !! Authors !! Description<br /> |-<br /> | 01<br /> | [[Tarantula]]<br /> | [[Frank Everdij]]<br /> | This is tied with spider as the smallest known c/5 orthogonal spaceship by minimum population.<br /> |-<br /> | 02<br /> | [[P80 gliderless HWSS gun]]<br /> | [[iNoMed]], [[Caleb R. Hilton]]<br /> | The smallest known HWSS gun.<br /> |-<br /> | 03<br /> | New gun periods<br /> | [[Matthias Merzenich]], [[400spartans]], [[James Pascua]], [[Period1GliderGun]], [[David Raucci]]<br /> | The first guns of periods 14 and 18, which were the smallest unsolved composite periods, with 14 being the smallest possible glider gun period.<br /> |-<br /> | 04<br /> | [[Unique_father_problem#Reductions|154-cell unsynthesizable still life]]<br /> | 400spartans<br /> | A new record smallest unsynthesizable still life.<br /> |-<br /> | 05<br /> | [https://conwaylife.com/forums/viewtopic.php?p=209381#p209381 Sawtooth 168]<br /> | [[David Bell]]<br /> | A new record smallest sawtooth with respect to its minimum repeating population of 168.<br /> |-<br /> | 06<br /> | [[Mannaz]] and [[water strider]]<br /> | FWKnightship<br /> | 31c/240 orthogonal spaceships using a new design that were the first of this speed to fit in a 16384 x 16384 LifeViewer window<br /> |-<br /> | 07<br /> | [[Leaf bug 2]] and [[Leaf_bug_2#Gun|Gun]]<br /> | [[Gustone]], [[Entity Valkyrie]]<br /> | A new record smallest 31c/240 orthogonal spaceship which allowed the construction of the first gun for a spaceship of this speed.<br /> |-<br /> | 08<br /> | Glider gun reductions<br /> | Caleb R. Hilton, Matthias Merzenich, Period1GliderGun iNoMed, [[hotcrystal0]], et al.<br /> | New record smallest guns of various periods.<br /> |-<br /> | 09<br /> | [[Solifuge]]<br /> | [[Nora Brown]]<br /> | A (12,4)c/62 camelship that is by far the smallest macro-spaceship found by both bounding box and population.<br /> |-<br /> | 10<br /> | [[Unidimensional spaceship 1|Unidimensional spaceship]]<br /> | [[Hippo.69]], [[Adam P. Goucher]], et al. (???)<br /> | The first constructed spaceship that is one cell thick in one of its phases.<br /> |-<br /> | 11<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7031 23-bit still life synthesis project]<br /> | [[vilc]], [[Mitchell Riley]], ???<br /> | Explicit glider syntheses for every 22-bit strict still life. <br /> |-<br /> | 12<br /> | [[Giraffe weevil]]<br /> | [[FWKnightship]]<br /> | A (28,7)c/448 giraffeship using a unique design where two gliders move a beehive by (28,7) while leaving copious debris behind.<br /> |-<br /> | 13<br /> | [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 2c/3] and [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 5c/9] transceivers<br /> | [[TigerCub414]], James Pascua, Entity Valkyrie<br /> | A new record fastest 2c/3 receiver with repeat time of 504 ticks, and the first ever 5c/9 transceiver.<br /> |-<br /> | 14<br /> | [[Thessalonic Demonoid]]<br /> | [[PK22]]<br /> | The first self-constructing spaceship using circuitry consisting only of blocks and fishhooks.<br /> |-<br /> | 15<br /> | [https://conwaylife.com/forums/viewtopic.php?&amp;p=222522#p222522 Stable MWSS-to-HWSS hammer]<br /> | Entity Valkyrie<br /> | A stable pattern the converts MWSSs to HWSSs on the fly with a repeat time of 2419 ticks.<br /> |-<br /> | 16<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 Direct glider to traffic jam]<br /> | Period1GliderGun<br /> | A modification of speed tunnel that creates a traffic jam signal with a repeat time of 78 ticks.<br /> |-<br /> | 17<br /> | [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 Fast] salvo [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 duplicators]<br /> | Entity Valkyrie, [[Luka Okanishi]]<br /> | A LWSS-on-LWSS duplicator with a repeat time of 58 ticks, and a glider triplet duplicator with a repeat time of 57 ticks. These are the fastest known duplicators for any salvo of spaceships.<br /> |-<br /> | 18<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 Exponentially spaced binary counter]<br /> | FWKnightship<br /> | ???<br /> |-<br /> | 19<br /> | [https://conwaylife.com/forums/viewtopic.php?p=202752#p202752 Faster highway robbers]<br /> | Entity Valkyrie, [[Evin]], [[Jormungant]]<br /> | A series of record fast highway robbers with the fastest having a repeat time of 550 ticks.<br /> |-<br /> | 20<br /> | [https://conwaylife.com/forums/viewtopic.php?p=214731#p214731 Speed Demonoid gun]<br /> | [[enofet]]<br /> | A gun for a c/11 Speed Demonoid.<br /> |-<br /> | 21<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7071 nonstandard gliderless guns]<br /> | PK22, ???<br /> | Gliderless guns for nonstandard spaceships constructed using syntheses composed of XWSSs, rather than gliders.<br /> |-<br /> | 22<br /> | [[p3 bouncer]]<br /> | Matthias Merzenich, James Pascua, iNoMed<br /> | A period-3 reflector using the bouncer mechanism. This is the lowest period bouncer achieved so far.<br /> |-<br /> | 23<br /> | <br /> | <br /> | <br /> |-<br /> | 24<br /> | <br /> | <br /> | <br /> |-<br /> | 25<br /> | <br /> | <br /> | <br /> |-<br /> | 26<br /> | <br /> | <br /> | <br /> |-<br /> | 27<br /> | <br /> | <br /> | <br /> |-<br /> | 28<br /> | <br /> | <br /> | <br /> |-<br /> | 29<br /> | <br /> | <br /> | <br /> |}</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/POTY_2025_Nominee_Table&diff=175522 2026-09-30T02:29:10Z

<p>Sokwe: Added patterns nominated by 77551enpassant and qqd and modified Unidimensional spaceship and solifuge descriptions slightly</p> <hr /> <div>This table is intended to contain nominees for the 2025 Pattern of the Year competition as they will appear in the final nominee list. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot;<br /> !Number !! Name (with link) !! Authors !! Description<br /> |-<br /> | 01<br /> | [[Tarantula]]<br /> | [[Frank Everdij]]<br /> | This is tied with spider as the smallest known c/5 orthogonal spaceship by minimum population.<br /> |-<br /> | 02<br /> | [[P80 gliderless HWSS gun]]<br /> | [[iNoMed]], [[Caleb R. Hilton]]<br /> | The smallest known HWSS gun.<br /> |-<br /> | 03<br /> | New gun periods<br /> | [[Matthias Merzenich]], [[400spartans]], [[James Pascua]], [[Period1GliderGun]], [[David Raucci]]<br /> | The first guns of periods 14 and 18, which were the smallest unsolved composite periods, with 14 being the smallest possible glider gun period.<br /> |-<br /> | 04<br /> | [[Unique_father_problem#Reductions|154-cell unsynthesizable still life]]<br /> | 400spartans<br /> | A new record smallest unsynthesizable still life.<br /> |-<br /> | 05<br /> | [https://conwaylife.com/forums/viewtopic.php?p=209381#p209381 Sawtooth 168]<br /> | [[David Bell]]<br /> | A new record smallest sawtooth with respect to its minimum repeating population of 168.<br /> |-<br /> | 06<br /> | [[Mannaz]] and [[water strider]]<br /> | [[FWKnightship]]<br /> | 31c/240 orthogonal spaceships using a new design that were the first of this speed to fit in a 16384 x 16384 LifeViewer window<br /> |-<br /> | 07<br /> | [[Leaf bug 2]] and [[Leaf_bug_2#Gun|Gun]]<br /> | [[Gustone]], [[Entity Valkyrie]]<br /> | A new record smallest 31c/240 orthogonal spaceship which allowed the construction of the first gun for a spaceship of this speed.<br /> |-<br /> | 08<br /> | Glider gun reductions<br /> | Caleb R. Hilton, Matthias Merzenich, Period1GliderGun iNoMed, [[hotcrystal0]], et al.<br /> | New record smallest guns of various periods.<br /> |-<br /> | 09<br /> | [[Solifuge]]<br /> | [[Nora Brown]]<br /> | A (12,4)c/62 camelship that is by far the smallest macro-spaceship found by both bounding box and population.<br /> |-<br /> | 10<br /> | [[Unidimensional spaceship 1|Unidimensional spaceship]]<br /> | [[Hippo.69]], [[Adam P. Goucher]], et al.<br /> | The first constructed spaceship that is one cell thick in one of its phases.<br /> |-<br /> | 11<br /> | [https://conwaylife.com/forums/viewtopic.php?t=7031 23-bit still life synthesis project]<br /> | [[vilc]], [[Mitchell Riley]], ???<br /> | Explicit glider syntheses for every 22-bit strict still life. <br /> |-<br /> | 12<br /> | [[Giraffe weevil]]<br /> | [[FWKnightship]]<br /> | A (28,7)c/448 giraffeship using a unique design where two gliders move a beehive by (28,7) while leaving copious debris behind.<br /> |-<br /> | 13<br /> | [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 2c/3] and [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 5c/9] transceivers<br /> | [[TigerCub414]], James Pascua, Entity Valkyrie<br /> | A new record fastest 2c/3 receiver with repeat time of 504 ticks, and the first ever 5c/9 transceiver.<br /> |-<br /> | 14<br /> | [[Thessalonic Demonoid]]<br /> | [[PK22]]<br /> | The first self-constructing spaceship using circuitry consisting only of blocks and fishhooks.<br /> |-<br /> | 15<br /> | [https://conwaylife.com/forums/viewtopic.php?&amp;p=222522#p222522 Stable MWSS-to-HWSS hammer]<br /> | Entity Valkyrie<br /> | A stable pattern the converts MWSSs to HWSSs on the fly with a repeat time of 2419 ticks.<br /> |-<br /> | 16<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 Direct glider to traffic jam]<br /> | Period1GliderGun<br /> | A modification of speed tunnel that creates a traffic jam signal with a repeat time of 78 ticks.<br /> |-<br /> | 17<br /> | [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 Fast] salvo [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 duplicators]<br /> | Entity Valkyrie, [[Luka Okanishi]]<br /> | A LWSS-on-LWSS duplicator with a repeat time of 58 ticks, and a glider triplet duplicator with a repeat time of 57 ticks. These are the fastest known duplicators for any salvo of spaceships.<br /> |-<br /> | 18<br /> | [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 Exponentially spaced binary counter]<br /> | FWKnightship<br /> | ???<br /> |-<br /> | 19<br /> | <br /> | <br /> | <br /> |-<br /> | 20<br /> | <br /> | <br /> | <br /> |}</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/POTY_2025_Nominee_Table&diff=175520 2026-09-30T01:30:48Z

<p>Sokwe: Added nominees from User:C28/Potential Candidates for POTY 2025</p> <hr /> <div>This table is intended to contain nominees for the 2025 Pattern of the Year competition as they will appear in the final nominee list. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot;<br /> !Number !! Name (with link) !! Authors !! Description<br /> |-<br /> | 01<br /> | [[Tarantula]]<br /> | [[Frank Everdij]]<br /> | This is tied with spider as the smallest known c/5 orthogonal spaceship by minimum population.<br /> |-<br /> | 02<br /> | [[P80 gliderless HWSS gun]]<br /> | [[iNoMed]], [[Caleb R. Hilton]]<br /> | The smallest known HWSS gun.<br /> |-<br /> | 03<br /> | New gun periods<br /> | [[Matthias Merzenich]], [[400spartans]], [[James Pascua]], [[Period1GliderGun]], [[David Raucci]]<br /> | The first guns of periods 14 and 18, which were the smallest unsolved composite periods, with 14 being the smallest possible glider gun period.<br /> |-<br /> | 04<br /> | [[Unique_father_problem#Reductions|154-cell unsynthesizable still life]]<br /> | 400spartans<br /> | A new record smallest unsynthesizable still life.<br /> |-<br /> | 05<br /> | [https://conwaylife.com/forums/viewtopic.php?p=209381#p209381 Sawtooth 168]<br /> | [[David Bell]]<br /> | A new record smallest sawtooth with respect to its minimum repeating population of 168.<br /> |-<br /> | 06<br /> | [[Mannaz]] and [[water strider]]<br /> | [[FWKnightship]]<br /> | 31c/240 orthogonal spaceships using a new design that were the first of this speed to fit in a 16384 x 16384 LifeViewer window<br /> |-<br /> | 07<br /> | [[Leaf bug 2]] and [[Leaf_bug_2#Gun|Gun]]<br /> | [[Gustone]], [[Entity Valkyrie]]<br /> | A new record smallest 31c/240 orthogonal spaceship which allowed the construction of the first gun for a spaceship of this speed.<br /> |-<br /> | 08<br /> | Glider gun reductions<br /> | Caleb R. Hilton, Matthias Merzenich, Period1GliderGun iNoMed, [[hotcrystal0]], et al.<br /> | New record smallest guns of various periods.<br /> |-<br /> | 09<br /> | <br /> | <br /> | <br /> |-<br /> | 10<br /> | <br /> | <br /> | <br /> |-<br /> | 11<br /> | <br /> | <br /> | <br /> |-<br /> | 12<br /> | <br /> | <br /> | <br /> |-<br /> | 13<br /> | <br /> | <br /> | <br /> |-<br /> | 14<br /> | <br /> | <br /> | <br /> |-<br /> | 15<br /> | <br /> | <br /> | <br /> |-<br /> | 16<br /> | <br /> | <br /> | <br /> |-<br /> | 17<br /> | <br /> | <br /> | <br /> |-<br /> | 18<br /> | <br /> | <br /> | <br /> |-<br /> | 19<br /> | <br /> | <br /> | <br /> |-<br /> | 20<br /> | <br /> | <br /> | <br /> |}</div>

Sokwe https://conwaylife.com/w/index.php?title=Gun&diff=175519 2026-09-30T00:32:05Z

<p>Sokwe: /* True-period guns */ Added Period1GliderGun to credits for p38 gun and added Nora Brown to credits for p39 gun</p> <hr /> <div>{{Glossary}}<br /> [[Image:Gosperglidergun.gif|framed|right|The first known gun, the [[Gosper glider gun]]]]<br /> A '''gun''' is a stationary pattern that repeatedly emits [[spaceship]]s (or [[rake]]s) forever. By far the most common type of guns are '''[[glider gun]]s''', which emit [[glider]]s (the most well-known of which is the [[Gosper glider gun]]); however, guns that emit spaceships of many other speeds, including [[c/2 orthogonal]], [[2c/5 orthogonal]], and [[c/12 diagonal]], have also been created.<br /> <br /> ==History==<br /> The first gun to be discovered, the [[Gosper glider gun]], was found by [[Bill Gosper]] in {{year|1970}}, being the first known pattern in [[Conway's Game of Life]] to exhibit [[infinite growth]]. Since then, many guns have been constructed with various periods and that fire spaceships of various speeds. Due to simple [[glider synthesis|glider syntheses]] of the [[Types_of_spaceships#Standard_spaceship|standard spaceships]] many c/2 spaceship guns are known. The first gun that did not fire gliders or c/2 spaceships was a '''Cordergun''' (a gun that fires [[Cordership]]s) constructed by [[Jason Summers]] in July, {{year|1999}}&lt;ref name=&quot;entropymine_status&quot; /&gt; based on a synthesis of a variation of the [[7-engine Cordership]] by [[Stephen Silver]]. In March, {{year|2003}} [[Noam Elkies]] completed the synthesis of [[60P5H2V0]] which [[Dave Greene]] used to construct the [[P416_60P5H2V0_gun|first 2c/5 spaceship gun]] in April of the same year.<br /> <br /> In July, {{year|2010}} Dave Greene constructed a few guns for a [[gemini|geminoid]] spaceship.&lt;ref name=&quot;golnews201007&quot; /&gt; These are the first guns that shoot obliquely-traveling spaceships and at that time were the largest patterns constructed in Life, in terms of their bounding boxes.<br /> <br /> On February 17, {{year|2013}} [[Josh Ball]] discovered a simple [[c/7 orthogonal]] spaceship, [[loafer]]. Adam P. Goucher found a synthesis for the loafer later that day, allowing the construction of c/7 orthogonal spaceship guns.&lt;ref name=&quot;post7466&quot; /&gt;<br /> <br /> During March {{year|2016}} the [[copperhead]] spaceship was discovered, with a glider synthesis and several guns following suit.&lt;ref name=&quot;post28101&quot; /&gt;<br /> <br /> In {{year|2019}} and {{year|2020}} guns were produced for the spaceships [[46P4H1V0]],&lt;ref name=&quot;post84423&quot; /&gt; [[spider]],&lt;ref name=&quot;post88186&quot; /&gt; and [[58P5H1V1]],&lt;ref name=&quot;post97489&quot; /&gt; of speeds [[c/4 orthogonal]], [[c/5 orthogonal]], and [[c/5 diagonal]] respectively.<br /> <br /> ==Barrels==<br /> {{main|Barrel}}<br /> The barrel of a gun (or rake) is a path along which spaceships travel. For example, a double-barrelled glider gun is a gun that emits two glider streams.<br /> <br /> ==Pseudo-period guns==<br /> A '''pseudo-[[period]] gun''' (as opposed to a [[true-period]] gun) is a gun that emits a period n stream of spaceships (or rakes) via a mechanism that oscillates with a period different from n -- this period will necessarily be a multiple of n. Pseudo period n glider guns are known to exist for all periods greater than or equal to 14, with smaller periods being impossible. The first pseudo period 14 gun was built by [[Dietrich Leithner]] in {{year|1995}}.<br /> <br /> ==True-period guns==<br /> A '''true-period gun''' (as opposed to a [[#Pseudo-period guns|pseudo-period gun]]) is a gun that emits a period n stream of spaceships (or rakes) via a mechanism that oscillates with period equal to n. True period n guns are known to exist for all possible periods except for 17, 19, 23, 26, 29, and 31. Credits for gun periods below 62 are as follows:<br /> <br /> &lt;table border=&quot;0&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; width=&quot;100%&quot;&gt;&lt;tr&gt;<br /> {| class=&quot;wikitable sortable&quot;<br /> |-<br /> ! Period<br /> ! Discoverer<br /> ! Year of discovery<br /> |-<br /> ! [[Period-14 glider gun|14]]<br /> | [[Matthias Merzenich]] and [[James Pascua]]<br /> | {{year|2025}}<br /> |-<br /> ! [[Period-15 glider gun|15]]<br /> | [[Period1GliderGun]] and [[Carson Cheng]]<br /> | {{year|2024}}<br /> |-<br /> ! [[Period-16 glider gun|16]]<br /> | [[Period1GliderGun]] and [[Nora Brown]]<br /> | {{year|2024}}<br /> |-<br /> ! [[Period-18 glider gun|18]]<br /> | [[400spartans]], Period1GliderGun, and [[David Raucci]]<br /> | {{year|2025}}<br /> |-<br /> ! [[Period-20 glider gun|20]]<br /> | Matthias Merzenich and [[Noam Elkies]]<br /> | {{year|2013}}<br /> |-<br /> ! [[Period-21 glider gun|21]]<br /> | [[Tanner Jacobi]] and David Raucci<br /> | {{year|2021}}<br /> |-<br /> ! [[Period-22 glider gun|22]]<br /> | [[David Eppstein]] and [[Jason Summers]]<br /> | {{year|2000}}<br /> |-<br /> ! [[Period-24 glider gun|24]]<br /> | Noam Elkies<br /> | {{year|1997}}<br /> |-<br /> ! [[period-25 glider gun|25]]<br /> | [[Mitchell Riley]]<br /> | {{year|2022}}<br /> |-<br /> ! [[Period-27 glider gun|27]]<br /> | David Raucci and [[goldenratio]]<br /> | {{year|2022}}<br /> |-<br /> ! [[Period-28 glider gun|28]]<br /> | Matthias Merzenich and [[Paul Callahan]]<br /> | {{year|2020}}<br /> |-<br /> ! [[Gosper_glider_gun|30]]<br /> | [[Bill Gosper]]<br /> | {{year|1970}}<br /> |-<br /> ! [[Period-32 glider gun|32]]<br /> | Matthias Merzenich, David Raucci, [[praosylen]], [[Aleph]], and Noam Elkies<br /> | {{year|2021}}<br /> |-<br /> ! [[Period-33 glider gun|33]]<br /> | [[Arie Paap]] and Matthias Merzenich<br /> | {{year|2018}}<br /> |-<br /> ! [[Period-34 glider gun|34]]<br /> | [[Nora Brown]]<br /> | {{year|2022}}<br /> |-<br /> ! [[Period-35 glider gun|35]]<br /> | Matthias Merzenich, [[iNoMed]], and [[hotcrystal0]]<br /> | {{year|2024}}<br /> |-<br /> ! [[Period-36 glider gun|36]]<br /> | Jason Summers<br /> | {{year|2004}}<br /> |-<br /> ! [[Period-37 glider gun|37]]<br /> | iNoMed, goldenratio, and [[Luke Kiernan]]<br /> | {{year|2022}}<br /> |-<br /> ! [[Period-38 glider gun|38]]<br /> | [[Luka Okanishi]] and Period1GliderGun<br /> | {{year|2026}}<br /> |-<br /> ! [[Period-39 glider gun|39]]<br /> | [[Caleb R. Hilton]] and Nora Brown<br /> | {{year|2026}}<br /> |-<br /> ! [[Period-40 glider gun|40]]<br /> | [[Adam P. Goucher]], Jason Summers, and Matthias Merzenich<br /> | {{year|2013}}<br /> |-<br /> ! [[Period-41 glider gun|41]]<br /> | iNoMed, Matthias Merzenich, [[May13]], David Raucci, and Nora Brown<br /> | {{year|2023}}<br /> |-<br /> ! [[Period-42 glider gun|42]]<br /> | Tanner Jacobi and David Raucci<br /> | {{year|2021}}<br /> |-<br /> ! [[Period-43 glider gun|43]]<br /> | Nora Brown<br /> | {{year|2022}}<br /> |-<br /> ! [[p44_pi-heptomino_hassler|44]]<br /> | [[David Buckingham]]<br /> | {{year|1992}}<br /> |-<br /> ! [[period-45_glider_gun|45]]<br /> | Matthias Merzenich<br /> | {{year|2010}}<br /> |-<br /> ! [[new_gun_1|46]]<br /> | Bill Gosper<br /> | {{year|1971}}<br /> |-<br /> ! [[Period-47 glider gun|47]]<br /> | [[Entity Valkyrie]] and iNoMed<br /> | {{year|2024}}<br /> |-<br /> ! [[Period-48 glider gun|48]]<br /> | Noam Elkies<br /> | {{year|1997}}<br /> |-<br /> ! [[hotcrystal0_reaction#Generalized_form|49]]<br /> | Tanner Jacobi, Aleph, and hotcrystal0<br /> | {{year|2021}}<br /> |-<br /> ! [[Period-50 glider gun|50]]<br /> | [[Dean Hickerson]] and Noam Elkies<br /> | {{year|1996}}<br /> |-<br /> ! [[hotcrystal0_reaction#Generalized_form|51]]<br /> | [[Luka Okanishi]], Aleph, and hotcrystal0<br /> | {{year|2021}}<br /> |-<br /> ! [[Period-52 glider gun|52]]<br /> | [[Dave Greene]], [[Chris Cain]], Matthias Merzenich and Adam P. Goucher<br /> | {{year|2018}}<br /> |-<br /> ! [[Period-53 glider gun|53]]<br /> | iNoMed and goldenratio<br /> | {{year|2024}}<br /> |-<br /> ! [[Quetzal#Quetzal-54|54]]<br /> | [[Dietrich Leithner]]<br /> | {{year|1998}}<br /> |-<br /> ! [[Quetzal#Quetzal-55|55]]<br /> | [[Stephen Silver]]<br /> | {{year|1998}}<br /> |-<br /> ! [[Quetzal#Quetzal-56|56]]<br /> | Dietrich Leithner<br /> | {{year|1998}}<br /> |-<br /> ! [[Quetzal#Quetzal-57|57]]<br /> | Matthias Merzenich<br /> | {{year|2016}}<br /> |-<br /> ! [[Quetzal#Quetzal-58|58]]<br /> | [[Maia Karpovich]], Matthias Merzenich, and Chris Cain<br /> | {{year|2016}}<br /> |-<br /> ! [[period-59_glider_gun|59]]<br /> | Adam P. Goucher and Jason Summers<br /> | {{year|2009}}<br /> |-<br /> ! [[period-60_glider_gun|60]]<br /> | Bill Gosper<br /> | {{year|1970}}<br /> |-<br /> ! [[Period-61 glider gun|61]]<br /> | Luka Okanishi<br /> | {{year|2016}}<br /> |}<br /> <br /> ==Smallest guns by area of bounding box==<br /> <br /> A collection of smallest guns by bounding box area was originally created and maintained by [[Dietrich Leithner]] and [[Peter Rott]], before [[Jason Summers]] took over the maintenance. The p14-999 collection had subsequently evolved into a Git repository led by [[Chris Cain]]. Currently, the collection is maintained collaboratively at Catagolue's glider-synthesis database.<br /> <br /> * [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/gun Current database] (Catagolue)<br /> * [https://github.com/ceebo/glider_guns/ older repository] maintained by Chris Cain (only p14-1024)<br /> * [https://entropymine.com/jason/life/#collections older version] maintained by Jason Summers (includes some periods in the range p1000-9999).<br /> <br /> Note that this classification of smallest is of dubious utility: see [[Pointless optimisation game]] for more details.<br /> <br /> ==Guns in Life-like cellular automata==<br /> Due to the existence of some small spaceships in [[Life-like cellular automata]] with birth at two live neighbours (B2), many low-period spaceship guns have been found using tools such as [[WinLifeSearch]]. In contrast, there are very few outer-totalistic rules without B2 (and B0) that are known to contain guns. The following is a list of outer-totalistic rules with neither B0 nor B2 that have known guns:<br /> {| style=&quot;width:100%&quot; |<br /> |-<br /> | valign=&quot;top&quot; width=&quot;50%&quot; |<br /> * Glider guns&lt;ref name=&quot;thread1071&quot; /&gt;<br /> ** B3/S23 ([[Conway's Game of Life]])<br /> ** B3/S236<br /> ** B3/S2367<br /> ** B3/S23678<br /> ** B3/S2368<br /> ** B3/S237<br /> ** B3/S2378<br /> ** B3/S238 ({{rl|EightLife}})<br /> ** B36/S23 ({{rl|HighLife}})<br /> ** B36/S237<br /> ** B36/S2378<br /> ** B36/S238<br /> ** B368/S23<br /> ** B368/S238 ({{rl|LowDeath}})<br /> ** B37/S23 ({{rl|DryLife}})<br /> ** B37/S236<br /> ** B37/S237<br /> ** B37/S238<br /> ** B37/S2378<br /> ** B378/S23<br /> ** B378/S237<br /> ** B378/S2378<br /> ** B378/S238<br /> ** B38/S236<br /> ** B38/S2367<br /> ** B38/S23678<br /> ** B38/S2368<br /> ** B38/S23 ({{rl|Pedestrian Life}})<br /> ** B38/S237<br /> ** B38/S2378<br /> ** B38/S238 ({{rl|HoneyLife}})<br /> | valign=&quot;top&quot; |<br /> * Other guns<br /> ** B3/S23 ([[Conway's Game of Life]])<br /> ** B3/S237<br /> ** B3/S2378<br /> ** B3/S238 ({{rl|EightLife}})<br /> ** B3/S345<br /> ** {{rl|B35/S236}}<br /> ** B357/S238 ({{rl|Pseudo Life}})<br /> ** B358/S236<br /> ** B36/S125 ({{rl|2x2}})<br /> ** B36/S23 ({{rl|HighLife}})<br /> ** B36/S237<br /> ** B36/S2378<br /> ** B36/S238<br /> ** B368/S23<br /> ** B368/S238 ({{rl|LowDeath}})<br /> ** B36/S245 ({{rl|sqrt replicator rule}})<br /> ** B368/S245 ({{rl|Move}})<br /> ** B368/S12578<br /> ** B3678/S34678 ({{rl|Day &amp; Night}})<br /> ** B37/S23 ({{rl|DryLife}})<br /> ** B37/S238<br /> ** B378/S23<br /> ** B378/S238<br /> ** B38/S23 ({{rl|Pedestrian Life}})<br /> ** B38/S237<br /> ** B38/S2378<br /> ** B38/S238 ({{rl|HoneyLife}})<br /> ** B38/S345<br /> |}<br /> <br /> ==See also==<br /> * {{CategoryLink|Guns}}<br /> * [[Dieter and Peter's glider gun collection]]<br /> * [[LifeWiki:Game_of_Life_Status_page#Glider_gun_true-periods|Glider gun true-periods status table]]<br /> * [[LifeWiki:Game_of_Life_Status_page#Gun_pseudo-periods|Gun pseudo-periods status table]]<br /> * [[Quetzal]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;entropymine_status&quot;&gt;{{cite web|url=http://entropymine.com/jason/life/status.html |title=Game of Life Status page |accessdate=October 15, 2010}}&lt;/ref&gt;<br /> &lt;ref name=&quot;golnews201007&quot;&gt;{{LinkGoLNews|2010/07/gemini_guns_1.html|title=Gemini guns|date=July 30, 2010|author=Adam P. Goucher}}&lt;/ref&gt;<br /> &lt;ref name=&quot;thread1071&quot;&gt;{{LinkForumThread|format=ref|f=11|t=1071|title=Guns in Life-like cellular automata|author=[[Matthias Merzenich]]|date=April 11, 2013}}&lt;/ref&gt;<br /> &lt;ref name=&quot;post7466&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: c/7 orthogonal spaceships<br /> |p = 7466<br /> |author = Shannon Omick<br /> |date = February 18, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post28101&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: is this c/10 spaceship known?<br /> |p = 28101<br /> |author = Alexey Nigin<br /> |date = March 6, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post84423&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Stable signal converters<br /> |p = 84423<br /> |author = Goldtiger997<br /> |date = October 22, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post88186&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 88186<br /> |author = Entity Valkyrie<br /> |date = January 26, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post97489&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Construction practice<br /> |p = 97489<br /> |author = Entity Valkyrie<br /> |date = May 22, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> * {{LinkWikipedia|Gun_(cellular_automaton)}}<br /> * {{LinkLexicon|lex_g.htm#gun}}<br /> * {{LinkLexicon|filename=lex_d.htm#doublebarrelled|patternname=Double-barrelled}}<br /> * {{LinkForumThread|f=2|t=1657|title=Execution of Old Guns by Variable-Speed Firing Squad}}</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=175518 2026-09-30T00:27:14Z

<p>Sokwe: /* Glider gun true-periods */ Added Period1GliderGun to credits for p38 gun</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_26|name=26|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_29|name=29|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_31|name=31|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_38|name=38|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 25 Sep 2026: p38 gun [Luka Okanishi, Period1GliderGun]&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_17|name=17|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_19|name=19|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|gun_23|name=23|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Universal constructor-based spaceships (and other objects) that move very slowly have been made. The [[Gemini|first such object]] has a velocity of (5120,1024)c/33699586.<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq4_6frc|name=4|style=raw}}&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq4_153|name=4|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq30_yq232x232zug1hmgc865da808ad568cgmh1guybug1hmgc865da808ad568cgmh1guz124w6yb6w421yb124w6yb6w421|name=30|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq6_yyocxukcy6gocs20h0a38bac2qq73uszyjo4w8y0e4mo0vu0o606s6444u08clav0h03g440qq1333333x11zy9ecec2ik032i210sw3f0hy011w70401011033547442zy0emj896he1e1kif6q2gc50ew9qb30dzgo403gg066m32w11z34407q441n6zy311|name=6|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_3nw17862z6952|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_7dfxg88gxfd7zw123u2222u321|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq21_7dfxg88gxfd7zw123u2222u321zzweh1r4w4r1hezssoy6ossz12y821|name=21|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;7&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 63, 70, 84, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_ggg0774wguez1130g06mgcc403ju4y1ooz03331oo31gy112w62ec0ac4zy213111igzy4cc0j6mzy831|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq10_o5995ozes88sezw33|name=10|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=User:Sokwe/Spaceship_searches&diff=175517 2026-09-30T00:24:08Z

<p>Sokwe: qfind 2.4b 3c/10 width-21 gutter search by Caleb R. Hilton</p> <hr /> <div>== [https://gitlab.com/andrew-j-wade/life_slice_ship_search LSSS] ([https://www.conwaylife.com/forums/viewtopic.php?p=118520#p118520 buggy], negative results cannot be considered complete) ==<br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 23&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=86827#p86827|title=Re: Spaceship Discussion Thread|author=Andrew J. Wade|date=January 1, 2020|accessdate=January 6, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref name =&quot;wade1&quot;&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=86979#p86979|title=Re: Spaceship Discussion Thread|author=Andrew J. Wade|date=January 5, 2020|accessdate=January 6, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=229584#p229584|title=Re: Spaceship Discussion Thread|author=MDA|date=June 10, 2026|accessdate=June 17, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;ampere1&quot;&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=116576#p116576|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=December 21, 2020|accessdate=December 21, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 29&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=86880#p86880|title=Re: Spaceship Discussion Thread|author=Andrew J. Wade|date=January 1, 2020|accessdate=January 6, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 30&lt;ref name=&quot;ampere1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref&gt;{{LinkForumThread|p = 87236 |title = Re: Spaceship Discussion Thread|author = AforAmpere|format = ref|date = January 9, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 24&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=87057#p87057|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=January 6, 2020|accessdate=January 6, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=230255#p230255|title=Re: Spaceship Discussion Thread|author=MDA|date=June 25, 2026|accessdate=June 25, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 28&lt;ref name=&quot;LSSS-4c9-w28-symm&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name =&quot;wade2&quot;&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=87194#p87194|title=Re: Spaceship Discussion Thread|author=Andrew J. Wade|date=January 8, 2020|accessdate=January 8, 2020}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;wade2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;wade2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;wade1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref name=&quot;wade2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;wade2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == qfind v2.x ==<br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;Sokwe-c/8-w10g&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | <br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref name=&quot;Sokwe-c/8-w10even&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;Sokwe-c/8-w10g&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;crh-3c10-gutter&quot;&gt;{{LinkForumThread|format=ref|p=235486|title=Re: Spaceship Discussion Thread|author=Caleb R. Hilton|date=September 20, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | <br /> | style=&quot;background: #ffa0a0;&quot; | <br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;crh-3c10-gutter&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> |}<br /> <br /> == qfind v1.x ==<br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 24<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10 <br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 4<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> |}<br /> <br /> == [https://github.com/rokicki/ntzfind Tom's ntzfind] ==<br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 24<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 22<br /> | style=&quot;background: #ffa0a0;&quot; | 23<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 22<br /> | style=&quot;background: #ffa0a0;&quot; | 23<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name =&quot;AforAmpere 1&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=68425#p68425|title=Re: Database of All Completed and Ongoing *find Searches|author=AforAmpere|date=January 22, 2019|accessdate=January 22, 2019}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;AforAmpere 1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;AforAmpere 1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,1)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,1)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (6,0)c/13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (6,1)c/14<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == zfind 2.0 or zfind-s (buggy - please use [https://github.com/rokicki/ntzfind Tom's ntzfind] for further searches) ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name =&quot;1,0c/8&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=275#p39439|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=January 16, 2017|accessdate=January 16, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=375#p41697|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=March 16, 2017|accessdate=March 16, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref&gt;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=375#p41857|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=March 19, 2017|accessdate=May 24, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;1,0c/8&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;praosylen4&quot;&gt;{{LinkForumThread|format=ref|p=38767|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 28, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;praosylen2&quot;&gt;{{LinkForumThread|format=ref|p=38682|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 25, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;praosylen3&quot;&gt;{{LinkForumThread|format=ref|p=38728|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 27, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;praosylen4&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,2)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == knight2 ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10 <br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | 3<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | 13&lt;ref name=&quot;coe1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;coe1&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1834&amp;start=25#p25972|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=December 18, 2015|accessdate=December 18, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;coe1&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;coe2&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1834&amp;p=27126#p27120|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=January 30, 2016|accessdate=January 30, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;coe1&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #ffa0a0;&quot; | 20<br /> | style=&quot;background: #ffa0a0;&quot; | 23<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> ===Unreleased version of knight2===<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;coe2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == gfind ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | 3*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 10*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 7*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 7*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 4<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 6*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 5<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 5*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> |-<br /> | (2,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,2)c/10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (4,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8*<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> &lt;nowiki&gt;*&lt;/nowiki&gt; Using PATCH 10 from gfind-pt<br /> <br /> == gfind-pt (Paul's Modification) ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10 <br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | 3<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 14&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1834&amp;start=25#p25809|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Josh Ball|date=December 11, 2015|accessdate=January 16, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;pt1&quot;&gt;Checked by Paul Tooke with gfind&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 29&lt;ref name=&quot;pt1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 26&lt;ref name=&quot;pt1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 27&lt;ref name=&quot;pt1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;1,0c/8-gfind&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=25902#p25902|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tanner Jacobi|date=December 16, 2015|accessdate=December 17, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=150#p32721|title=Re: Spaceship Discussion Thread|author=Arie Paap|date=July 4, 2016|accessdate=December 21, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref&gt;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1739#p21577|title=Re: c/8 orthogonal spaceships|author=Josh Ball|date=July 31, 2015|accessdateJanuary 15, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;1,0c/8-gfind&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffa0a0;&quot; | 22&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?p=25645#p25645|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tanner Jacobi|date=December 4, 2015|accessdate=December 4, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 4<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> |}<br /> <br /> == WLS 7.1 ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 21<br /> | style=&quot;background: #80ff80;&quot; | 28<br /> | style=&quot;background: #80ff80;&quot; | 21 <br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 10 <br /> | style=&quot;background: #80ff80;&quot; | 13<br /> | style=&quot;background: #80ff80;&quot; | 16<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | 3<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> | style=&quot;background: #80ff80;&quot; | 12<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #80ff80;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |}<br /> <br /> == WLS 6.3 (Nicolay's Modification) ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |}<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10g&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 138201<br /> |author = Matthias Merzenich<br /> |date = November 29, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10even&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 155106<br /> |author = Matthias Merzenich<br /> |date = December 22, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;LSSS-4c9-w28-symm&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 155992<br /> |author = shuich01<br /> |date = December 14, 2023<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Spaceship_Search_Status_Page&diff=175516 2026-09-30T00:22:01Z

<p>Sokwe: 3c/10 width-21 gutter search by Caleb R. Hilton using qfind 2.4b (also covers width-10 asymmetric)</p> <hr /> <div>==Conventions==<br /> The tables below give the minimum orthogonal width and height of the [[envelope]] of a spaceship of the specified type. This is found by simulating a period-&lt;tt&gt;p&lt;/tt&gt; spaceship for &lt;tt&gt;p&lt;/tt&gt; iterations, with the initial phase chosen to minimise the width or height.<br /> <br /> For types where the minimum is known, references point to the proof of minimality rather than the discovery of the ship possessing it. A stamp collection of minimum-width ships is given below the table.<br /> <br /> Symmetry considered is in the line parallel to a spaceship's direction of motion.<br /> <br /> == Known spaceships by width ==<br /> The width in the following table is the width of the [[envelope]] of the pattern after it has been run through every phase in its period and minimized over all starting phases. Further, the width is the direction perpendicular to the orthogonal direction of greatest displacement. For example, for a (2,1)c/6 ship the width is the dimension perpendicular to the direction in which the ship is displaced by 2 cells.<br /> <br /> Note that symmetric diagonal spaceships always have an odd diagonal width (measured by [[half-diagonal]]s), but since this table records the orthogonal width of the ship, the minimum width for such a ship might not be odd. The same applies to glide symmetric diagonal ships, although these ships can have odd or even width depending on whether their diagonal placement is even or odd respectively.<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_g0jimmgoz1o0imkqa323ms8zwq2qamkgggqe4zwiiqq26101zw1|name=21|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zx22gf1cs0sc1fg22zx8o2s1scgcs1s2o8z8f74143y334147f8|name=21|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_y1c2h19a073370a91h2czg8c2n0v06ugy2gu60v0n2c8gz2201yg1022|name=28|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[70P2H1V0.1|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_g46jo88y0o420ejz3mu2iit0p45112207czw1221|name=12|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[Dart|15]]<br /> | style=&quot;background: #80ff80;&quot; | [[Turtle|12]]<br /> | style=&quot;background: #80ff80;&quot; | [[Brain|17]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_xap1zxo276z06n6ihzwjp40a2zw3ikn0aizx11shhczcgi28mkb08zxu995222z2c2|name=10|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[Non-monotonic spaceship 1|13]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=16|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y0671x176zw2359cs0sc9532zw68cvhxhvc86z66br22ge0eg22rb66zy16e606e6|name=17|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|3]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=7|style=raw}}&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=7|style=raw}}&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Glider|3]]<br /> |-<br /> | strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=18|style=raw}}&lt;ref name=&quot;post172628&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=19|style=raw}}&lt;ref name=&quot;post172628&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[B29|10]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> |-<br /> | (2,0)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|5]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[X66|11]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6rucwcur6|name=12|style=raw}}&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[X66|11]]<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|5]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6frcx6frc|name=12|style=raw}}&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> |-<br /> | strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Hammerhead|20]]&lt;ref name=&quot;MM2&quot;/&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Two HWSS dragging boat|15]]&lt;ref name=&quot;post172628&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_79112o6m4so0sb0teoov1h1azei22ke22w1704c1wd99|name=11|style=raw}}&lt;ref name=&quot;post126570&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Hivenudger|15]]&lt;ref name=&quot;MM2&quot;/&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_w4bn0n96zwo4k4sq0ozy010b29k1zwg4m0hdd5z02ac2c85896zw8pihmdzpkti8p9gzwh90v8z01121i664ozy01siszw25ci2zxgg1fuczw7uqf010n3zwghiik22zhp0d0d0phzwa8gs2zg8g66mh04m2z066w13w2|name=11|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_wm2kci1u0u1ick2mzw33274i101i47233zw2dc1v0v0v0v1cd2zxg8a3gv0vg3a8gz6978fgr3x3rgf8796zy21137311|name=19|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_0gowe019910ewogz0o8g4797ee7974g8oz0uify6fiuzx7uarewerau7z6eghhd0hcch0dhhge6zwc1m4o2442o4m1czy1uhb44bhuz0ca1gly2lg1acz015054m6uu6m45051zy134011043|name=18|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_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|name=19|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng|name=13|style=raw}}&lt;ref name=&quot;coe1&quot;/&gt;&lt;ref name=&quot;post222861&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;!--via rlifesrc; search took 580924s--&gt; &lt; w &amp;le; [[86P5H1V1|24]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 19 &lt; w &amp;le; [[86P5H1V1|24]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=10|style=raw}}&lt;!--&lt;ref group=n&gt;64 cells; {{LinkCatagolue|xq5_0kq3u2z0g9idi62gz0bih83621z4aq2v6wc56zwrhl871|name=shortest w11a|style=raw}} is 72 (and also shortest w12a), shortest w13a is [[30P5H2V0]]&lt;/ref&gt;--&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[44P5H2V0|15]]&lt;!--shortest until w21o, at which point tied by [[60P5H2V0]], then both beaten at w23o by [[57P5H2V0]], which persists until w25o--&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[70P5H2V0|18]]&lt;!--shortest until w28e, at which point beaten by two of [[30P5H2V0]]--&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[44P5H2V0|15]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_o82imo0jiiy8goow43h6011zhhh0hhrrrhwee0rrhar0hxarrhz3289d30p99y8133w4ohc0gg|name=17|style=raw}}&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | [[409P6H1V0|12]]&lt;ref&gt;{{LinkForumThread|format=ref|p=43495|title=Re: Spaceship Discussion Thread|author=praosylen|date=May 13, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[600P6H1V0|19]]<br /> | style=&quot;background: #80ff80;&quot; | [[Dragon|18]]<br /> | style=&quot;background: #80ff80;&quot; | [[274P6H1V0|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10 &lt; w &amp;le; [[Seal|35]]<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[77P6H1V1|36]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 13 &lt; w<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Seal|35]]<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_0keh2y088y08c04kc0o88bb84ny1s40g0mi0cc8zehkggk691wdca331w66701ddaw378f2w121zx13|name=12|style=raw}}&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y0g81v0v18gzwso4k7ece7k4oszy1l3i4i3lzx2q9fxf9q2zg738c04o0o40c837gz22cc1hgf0fgh1cc22zy24aia4|name=17|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_x42jgbffbgj24zy0gideccedigzy02w4oo4w2zxe6oi1111io6ezy0djoppppojdz4a22ckf0880fkc22a4zy03y43|name=18|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe5&quot;&gt;{{LinkForumThread|format=ref|p=29960|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 13, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_8ci02j3ac604a02a83g4350go0ook222o0gwggz7b99aa8cab88cab888bc8b894cy21226d8406ac8b5zedp95l135d1135d111t31d1pi3gggxo4k6bhi06531daz13404cc5360250451c02caw101124441|name=19|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_wgoihe4wgwkccy2o0gg66io1g3ccza58sc2a2klk2mvs13m90l3223x2kklkkk30s2k8zx395ph02411noq312023d174gg5c060oo3w1zy0121yf1110203|name=17|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_w4a2a8jj8a2a4zy0j4ijji4jzx3313rr3133z08460mussum0648zxdj8gggg8jdzee8c0k666mk0sgeezw301y2221|name=18|style=raw}}&lt;ref name=&quot;coe5&quot; /&gt;<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;coe1&quot;&gt;{{LinkForumThread|format=ref|p=25972|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=December 18, 2015}}&lt;/ref&gt; &lt; w &amp;le; [[Sir Robin|31]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y161cz8ogg3u1p4goe2z0338fho1fg44zy127cog9114k0u0ou2zaig0g8xp0i30vk32zw1278994302631|name=21|style=raw}}&lt;ref name=&quot;amling-3c/6-w20-asym&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zw8e64n3oo0oo3n46e8zy133h9p0p9h33zy2720242027|name=21|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y2ogm6e3z8suj23aqaa98gzo605y01345024ozgrodwgokmhl821z013626qaa2kzy43336|name=28|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_y18waj0jaw8zw2qg1ng62026gn1gq2z2cagn21y312ngac2zgg03l4w88088w4l30ggz076gv0r6of0fo6r0vg67zy15fogo0ogof5zy41x1|name=21|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Loafer|10]]&lt;ref name=&quot;coe8&quot;&gt;{{LinkForumThread|format=ref|p=31878|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=June 11, 2016}}&lt;/ref&gt;&lt;ref name=&quot;MM1&quot;/&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[339P7H1V0|19]]&lt;ref name=&quot;MM1&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq7_26871wn3y03nw17862zy12596y06952|name=22|style=raw}}&lt;ref&gt;{{LinkForumThread|format=ref|p=44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017}}&lt;/ref&gt;&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq7_26871wn3x3nw17862zy12596x6952|name=21|style=raw}}&lt;ref name=&quot;coe8&quot;/&gt;&lt;ref name=&quot;MM1&quot;/&gt;&lt;ref group=&quot;n&quot; name=&quot;sep&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | strict<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref&gt;{{LinkForumThread|format=ref|p=44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017}}&lt;/ref&gt; &lt; w<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;coe8&quot;/&gt;&lt;ref name=&quot;MM1&quot;/&gt; &lt; w<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 9 &lt; w &amp;le; [[Lobster|27]]<br /> | style=&quot;background: #ffa0a0;&quot; | 11 &lt; w &amp;le; [[Lobster|27]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 11 &lt; w<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref&gt;{{LinkForumThread|format=ref|p=57129|title=Re: Spaceship Discussion Thread|author=Tomas Rokicki|date=March 1, 2018}}&lt;/ref&gt;&lt;ref name=&quot;MM6&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Scholar|23]]&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Weekender|18]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq7_j48ye880oog040608k0szc8orr88o664ewebaamk80101ag0ggezy2hhyar0raahhz623rr223cc4eweqaad520g0ga1011ezp42ye220331040c02507|name=25|style=raw}}&lt;ref name=&quot;MM6&quot;/&gt;&lt;ref&gt;{{LinkForumThread|f=2|t=2031|p=212476|title=Re: Spaceship Discussion Thread|author=shuich01|date=May 28, 2025|format=raw}}, in which the first w25gutter 2c/7 was discovered with LSSS (may not be shortest possible)&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;knight2&quot;&gt;Checked with knight2.c&lt;/ref&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 14&lt;ref name=&quot;coe6&quot;&gt;{{LinkForumThread|format=ref|p=30124|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 17, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Spaghetti monster|29]]&lt;ref name=&quot;pt1&quot;&gt;Checked by Paul Tooke with gfind&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 28&lt;ref name=&quot;coe6&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq7_y1o0ab6gggxggg6ba0ozxstk15l4lhdxdhl4l51ktszy2o860oioxoio068ozoke0738a42j0430340j24a8370ekoz0108oox37dexed73xoo801z0jb995sogy7gos599bjz122212a0gl2y32lg0a212221zy3tv2c8gxg8c2vtzy3k0cv3y13vc0kzy3380102s0s201083zy3h1210670760121hzy2hd5y75dh|name=31|style=raw}}&lt;ref name=&quot;coe6&quot;/&gt;&lt;ref name=&quot;chen-3c/7-w31gutter&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;Sokwe-c/8-w10g&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;Sokwe-c/8-w10odd&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref name=&quot;Sokwe-c/8-w10even&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;Sokwe-c/8-w10g&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 7 &lt; w &amp;le; [[Walrus|21]]<br /> | style=&quot;background: #ffa0a0;&quot; | 10 &lt; w<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 10 &lt; w<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 7 &lt; w &amp;le; [[Walrus|21]]<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_1263hoc6coh3621zxo60l2l06ozwvw2o0o2wvz0o0rjpxpjr0ozcfhi3108013ihfczxduik9kiud|name=15|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;&gt;{{LinkForumThread|format=ref|p=30299|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 21, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_671y8176z111uu0o4w4o0uu111z8g8334mi66im4338g8z01xshraarhsx1zy22ahha2zy2cqbbqczy2ip88piz0djk7w1221w7kjdzwd11464w46411dz5dod5y45dod5zops108k8w8k801spoz01084173oo3714801zy0hphy0hph|name=18|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_o0r54kc606ck45r0ozx8d5gg0gg5d8zwg0gm11011mg0gz0gre539e0e935ergz3o539k4x4k935o3zw249c1v0v1c942zy1so707oszy0gq2x2qgzw4o22oxo22o4zwoog57x75goozgo888h5o0o5h888ogzx33hph0hph33|name=17|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_xk3k0k3kzwe0698960ez0bt08o8o80tbzxhs505shzw855o0o558z06746bsb6476zxoo464soz0258bn1061zwgwfc010gzor1304cgg6d43z01w302|name=13|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> |-<br /> | (2,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 8 &lt; w &amp;le; {{LinkCatagolue|xq8_o4w8gi5hcgwgz5og0g7gadxj184s6332gkozx8iqxgh2p40ar8aczy3c80h01446zy5223|name=24|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;knight2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;knight2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 22&lt;ref&gt;{{LinkForumThread|p = 25645 |title = Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author = Tanner Jacobi|format = ref|date = December 3, 2015}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref name=&quot;knight2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;knight2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_e9885e88wgs046gy34eb766cg22aazsigg83cd47307q0ne3qsma4e68mmuw177w33244zym11|name=11|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_go8ggc2ghhioc4s1116agooz0hrawr4weeaxhhaaxhz13211681hh93647gggca133|name=17|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_v112oy2o211vz01wo1a44a1ow1zwo6k5t44t5k6oz0d1c32i33i23c1dzy0g895598gzx258owo852|name=20|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_x6996y16996zy0337pe0ep733zmgg118bio0oib811ggmz2fgmhihu202uhihmgf2zx36m1gxg1m63zxsv046101640vszwighc2y12chgizw78jnmio0oimnj87z0o40ho6ec0ce6oh04ozw12a421x124a21zks4g9k1fd0df1k9g4skz112cg22ue0eu22gc211zy06f1mc0cm1f6zy0988po0op889zxg8c2qf0fq2c8gz258pdd1y11ddp852zwe8950oxo0598ezy08um6x6mu8zy034461016443|name=19|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_wgu113484311ugz0cdp1x2x1pdcz344240o444o042443zx3nqi212iqn3z0su944im3mi449uszy1ehh9d18azwg442mkg02hhqzwbg8531y032cz0oo0go8636cwq7z0132x420111|name=17|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq8_0sur6y66ruszw11w1rcsscr1w11zxo421i5w5i124oz0u1uur2y22ruu1uz24852y625842z251888g0oooo0g888152z8f7k4m641w146m4k7f8zy058heowoeh85z0oo2703sox474ba8zw22|name=20|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> |-<br /> | (1,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;AforAmpere1&quot;&gt;{{LinkForumThread|format=ref|p=52707|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=November 5, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;AforAmpere1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;AforAmpere1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;MM3&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[117P9H3V0|17]]&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;coe6&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref&gt;{{CiteDiscord|channel=cgol|id=1315068947003080744|author=Exa|date=December 7, 2024}}, in which 4c/9 w24e was disproven with qfind&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 24&lt;ref&gt;{{CiteDiscord|channel=cgol|id=1314739024111603722|author=Exa|date=December 6, 2024}}, in which 4c/9 w24e was disproven with qfind&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref name=&quot;coe6&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;praosylen5&quot;&gt;{{LinkForumThread|format=ref|p=39024|title=Re: Spaceship Discussion Thread|author=praosylen|date=January 5, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Copperhead|10]]<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> |-<br /> | (2,0)c/10&lt;!--asym, odd, even, gutter with qfind -h 0--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 7 &lt; w &amp;le; {{LinkCatagolue|xq10_w4bn0n96zwo4k4sq0ozy010b29k1zwg4m0hdd5z02ac2c85896zw8pihmdzpkti8p9gzwh90v8z01121i664ozy01siszw25ci2zy1hfeczxgh48clgzw4ca9o089gzxpq21gqbdzwgk1gt52z0802g441z0dc13ae1352z0e620szwg840o3ozwgjjo303oz01237rg841zx84i12uszxss9f431zg1pdz197zwbb64a0ezy0ehmzwfo04tkz2h3o50nzw131275zy12pjg|name=11|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 13 &lt; w &amp;le; [[160P10H2V0|19]]<br /> | style=&quot;background: #ffa0a0;&quot; | 14 &lt; w &amp;le; {{LinkCatagolue|xq10_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|name=20|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 15 &lt; w &amp;le; {{LinkCatagolue|xq10_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|name=19|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;coe4&quot;&gt;{{LinkForumThread|format=ref|p=28770|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=March 1, 2016}}&lt;/ref&gt; &lt; w &amp;le; {{LinkCatagolue|xq10_xc19gy1c19gzy033y333zwm2kci1u0u1ick2mzw33274i101i47233zw2dc1v0v0v0v1cd2zxg8a3gv0vg3a8gz6978fgr3x3rgf8796zy21137311|name=19|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 14&lt;ref name=&quot;coe4&quot;/&gt; &lt; w &amp;le; {{LinkCatagolue|xq10_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|name=20|style=raw}}<br /> |-<br /> | (2,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #ffa0a0;&quot; | 6<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;crh-3c10-gutter&quot;&gt;{{LinkForumThread|format=ref|p=235486|title=Re: Spaceship Discussion Thread|author=Caleb R. Hilton|date=September 20, 2026}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref&gt;{{LinkForumThread|format=ref|p=53546|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=December 10, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;AforAmpere2&quot;&gt;{{LinkForumThread|format=ref|p=52865|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=November 13, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;crh-3c10-gutter&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,2)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_o4c4onrqoh8y1g8c8k4088y1gzha0ay4err0l4rhwrh0haelh4vz34643trb3h2y1126254022y11|name=15|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_eaiebb8c82gkwo4rfgt4w6696zx11303hoj1ed1w411zxggo0oh3pgemgw4ggzea9eqq262815w34ru1n4wccic|name=22|style=raw}}&lt;ref name=&quot;MM5&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_wgwfhj4o0o4jhfwgzbvo33w1iv0vi1w33ovbzy162q2h0h2q26zy31b303b1zy33470743|name=21|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_ggcmhe404ehmcggz8pjmy3mjp8zy0p81s1ohzx8nnw745|name=15|style=raw}}&lt;ref name=&quot;coe3&quot;&gt;{{LinkForumThread|format=ref|p=27167|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=February 1, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;coe3&quot;/&gt;<br /> |-<br /> | (4,1)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/10<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_343yb343z02552g8o4o0o4o8g2552zy02cc30v0v03cc2zx2qga9630369agq2z0g444gy5g444gzaig2q0q2gv0vg2q0q2giazw1278j1wow1j8721zy1aig2q0q2giazy1oohin0nihoozw2ec4to33033ot4ce2z25k0f2y52f0k52z8801mdggo808oggdm1088z1268v0t18f0f81t0v8621zy168hgs0sgh86|name=21|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 22&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq10_025524sm4o0o4ms42552zy08kjfgv0vgfjk8zgg08o0pi8f0f8ip0o80ggz03r1111y31111r3z0aig2c6af101fa6c2giazx12nhn3x3nhn21zxaq1m9qa0aq9m1qazw8813p6of0fo6p3188z8g83u8621x1268u38g8z011emgy5gme11z2uo0u0co1t0t1oc0u0ou2zx23kv0310130vk32zy2136303631|name=21|style=raw}}&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;praosylen1&quot;&gt;{{LinkForumThread|format=ref|p=38671|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 25, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;lordlouckster1&quot;&gt;{{LinkForumThread|format = ref|title = Re: Spaceship Discussion Thread|p = 148225|author = lordlouckster|date = July 13, 2022}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;lordlouckster1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;praosylen1&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 7&lt;!--longest qfind partial (7*21)<br /> 3b2o$2bo2bo$bo3bo$bo3$o3b2o$bob2o$4bo$3b2o$3b2o$3b2o2$3b3o$bob3o$bo$4bo$b2o3bo$b2o$2bo2b2o$3b2o!--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,1)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/11&lt;!--qfind--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16<br /> | style=&quot;background: #ffa0a0;&quot; | 17<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,1)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,2)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 17&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,1)c/11<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (5,0)c/11<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 20&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;ref name=&quot;MM7&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/12<br /> | style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;ref name=&quot;post217593&quot;/&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/12&lt;ref name=&quot;drone-qfind&quot;&gt;asymmetric, odd, even and gutter lower bounds by DroneBetter using qfind&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 5 &lt; w &amp;le; {{LinkCatagolue|xq12_yj13922y022931zymo7q99q7ozyggg0nj611tuut116jn0ggzyi1y0gc44cgy01z03m0m3y03m0m3y8223322y93m0m3y03m0m3zw3gn3aaaa3ng3y7o035w530oy83gn3aaaa3ng3zwu97y279uy812222221y9u97y279uz22qggy2ggq220248oe2yb2eo842022qggy2ggq22zxq03q22q30qy526csssssssssssc62y5q03q22q30qzxdidy0didybe2i2eybdidy0didzyk8g40cscsc04g8zyjg0omb86068bmo0gzyj1247y37421zyk4ao9f9o9f9oa4zykg8kg0o5o0gk8gzyk12jg12121gj21zyj11cn4mo0om4nc11zyjgo0g61x16g0ogzyhegcd16b6g0g6b61dcgezyhc4g122e0a0a0e221g4czyh124epni2h0h2inpe421zyjg8mti47074itm8gzyg8u125g11gg0gg11g521u8zyj1h9o8pp0pp8o9h1zyj12t60uu0uu06t21zymora202arozyi80a191vg0gv191a08zyh18d6oy5o6d81zyk1gp4y14pg1zyhgg07g24gxg42g70ggzyh1210121y11210121|name=63|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;codeholic-gfind&quot;&gt;Ivan Fomichev using gfind under OS X 10.9.5, verified by DroneBetter using rlifesrc in 8.36 hours&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;!--rlifesrc--&gt;<br /> |-<br /> | (3,0)c/12&lt;ref name=&quot;drone-qfind&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 11<br /> | style=&quot;background: #ffa0a0;&quot; | 12<br /> | style=&quot;background: #ffa0a0;&quot; | 13<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/12&lt;ref name=&quot;drone-qfind&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 13 &lt; w &amp;le; {{LinkCatagolue|xq12_y0g81t0t18gzwso4k7ece7k4oszy1l3i4i3lzx2q9fxf9q2zg738c04o0o40c837gz22cc1hgf0fgh1cc22zy24aia4|name=17|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 14<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |-<br /> | (6,0)c/12&lt;ref name=&quot;drone-qfind&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;!--with -h 0, note that it crashed at deepening 65536--&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Schick engine|11]]<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;!--with -h 0, did not crash--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |}<br /> <br /> {{EmbedViewer<br /> |pname = knownspaceshipsbywidth<br /> |position = center<br /> |caption = Spaceships by width<br /> |viewerconfig = #C [[ WIDTH 800 HEIGHT 600 ]]<br /> }}<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |+ style=&quot;text-align: left;&quot; | Single-phase width<br /> |-<br /> ! Velocity !! Asymmetric || Odd-symmetric&lt;br /&gt; || Even-symmetric&lt;br /&gt; || Gutter&lt;br /&gt; || Odd glide-symmetric&lt;br /&gt; || Even glide-symmetric&lt;br /&gt;<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_g0jimmgoz1o0imkqa323ms8zwq2qamkgggqe4zwiiqq26101zw1|name=21|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_y1c2h17071h2czg8c2v0ng2u0u2gn0v2c8gz220gdm113202311mdg022z8k50u8y58u05k8zx22gf1cs0sc1fg22zx8o2s1scgcs1s2o8z8f74143y334147f8|name=21|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_y1c2h19a073370a91h2czg8c2n0v06ugy2gu60v0n2c8gz2201yg1022|name=28|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[70P2H1V0.1|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_5fg2964ccgw3u0228mc53bgzicdy5of0882d6koq1|name=10|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Dart|15]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Turtle|10]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Brain|17]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_xap1zxo276z06n6ihzwjp40a2zw3ikn0aizx11shhczcgi28mkb08zxu995222z2c2|name=9|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Non-monotonic spaceship 1|11]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=14|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y0671x176zw2359cs0sc9532zw68cvhxhvc86z66br22ge0eg22rb66zy16e606e6|name=17|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|3]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=6|style=raw}}&lt;ref name=&quot;post172047&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=6|style=raw}}&lt;ref name=&quot;post172047&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Glider|3]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> |-<br /> | strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=17|style=raw}}&lt;ref name=&quot;post223389&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=18|style=raw}}&lt;ref name=&quot;post223389&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[B29|7]]<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|4]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|9]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Hammerhead|16]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|9]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|4]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Two HWSS dragging boat|13]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 3|8]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Hivenudger|13]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_o2f0huez5sn93v36z0qsgr0g0eezc8080v9z0121g42a4z47f0110m6zy0oob8dzx6621|name=10|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_69c52t2x2t25c96z0chl5abxba5lhcz08k02im5c5mi20k8z8o328ao505oa823o8z0856sg2u0u2gs658zm7j68g4f0f4g86j7mz1248g0j888j0g8421zy111x11|name=17|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_0gowe019910ewogz0o8g4797ee7974g8oz0uify6fiuzx7uarewerau7z6eghhd0hcch0dhhge6zwc1m4o2442o4m1czy1uhb44bhuz0ca1gly2lg1acz015054m6uu6m45051zy134011043|name=18|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Snail|19]]&lt;ref name=&quot;post222547&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cih1h0czhrpw1035z7ui0h1go04k8z012xp6oc2zy39ng|name=12|style=raw}}&lt;ref name=&quot;post222837&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11 &lt; w &amp;le; [[86P5H1V1|22]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | 11 &lt; w &amp;le; [[86P5H1V1|22]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=8|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_o82imo0jiiy8goow43h6011zhhh0hhrrrhwee0rrhar0hxarrhz3289d30p99y8133w4ohc0gg|name=15|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[70P5H2V0|18]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[44P5H2V0|15]]&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> == Known spaceships by height ==<br /> <br /> In this table, a ship is &quot;pure&quot; if it possesses the given symmetry type, but no higher symmetry type. For example, a gutter-symmetric ship is also odd-symmetric, but is not &quot;pure&quot; odd-symmetric.<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |-<br /> ! Velocity !! Asymmetric || Odd-symmetric&lt;br /&gt;(strict) || Even-symmetric&lt;br /&gt;(strict) || Gutter&lt;br /&gt;(strict) || Odd glide-symmetric&lt;br /&gt;(strict) || Even glide-symmetric&lt;br /&gt;(strict)<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28aga82ese28agga82ejt0g40s0cf1zx112731yk137211|name=8|style=raw}}&lt;ref name=&quot;MM-WLS&quot;&gt;Checked by Matthias Merzenich using WLS.&lt;/ref&gt;&lt;ref name=&quot;post172210&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[64P2H1V0|8]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=8|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_32mmgozg0igke72z1n2q1z0qgm1z0hjrgz0a889be4z0lhhpd72z0ostz0l0m8zoeklozwkgine4zc46601|name=8|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[25P3H1V0.1|5]]&lt;ref name=&quot;MM-WLS&quot; /&gt;&lt;ref name=&quot;post172210&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=6|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_2554ca0so07bgg0s4me08ewfjkk0gg0kkjfwe80em4s0ggb70os0ac4552zyc13y711y731|name=7|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=6|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_0gu16zclchz1t0ozc6nk8gzw15oozwcqrqzeeazw6brbzwgk33z6ct521zgn03z6l6hz01fgc|name=7|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> |-<br /> | (1,0)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=8|style=raw}}&lt;ref name=&quot;MM-WLS&quot; /&gt;&lt;ref name=&quot;post172210&quot; /&gt;&lt;ref name=&quot;post172309&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=9|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_ksoxso0s950473228c8sw66w8gy3ee88eey3g8w66ws8c822374059s0osxoskz122556yd6431077acee23261w16232eeca7701346yd655221|name=10|style=raw}}&lt;ref name=&quot;post178496&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=9|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_0367p6oz0emm011zd8ovzxfrmzo03e2qpszp0b9hncz0o0dc2ssz3n0kkkl8z3f0oo0uszc08a4loze03q2fcszw3pdl2zo8cv31z2oknz01hhciez031321|name=10|style=raw}}&lt;ref name=&quot;post222440&quot; /&gt;<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|6]]&lt;ref name=&quot;MM-WLS&quot; /&gt;&lt;ref name=&quot;post172210&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|7]]&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6eeed72z05m04ogz0pvij1zqq8447z2v824sz0p699gzkv1423z5lhiiez09v4cogz0a6021z6777be4|name=8|style=raw}}&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|7]]&lt;ref name=&quot;post172309&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|6]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 7&lt;ref name=&quot;post172309&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[LWSS on MWSS 3|7]]&lt;ref name=&quot;post172210&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 7&lt;ref name=&quot;post172309&quot; /&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcw4q91easii90mssz033266yb66233y61w121|name=8|style=raw}}&lt;ref name=&quot;MM-WLS&quot; /&gt;&lt;ref name=&quot;post172215&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcxo08ckkokkc80oxcm6iuge0653kg0gk3560egui6mcz033266yb66233x1y91x33266yb66233|name=8|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=8|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[Spider|8]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | [[34P5H2V0|11]]&lt;ref name=&quot;post178547&quot; /&gt;&lt;ref name=&quot;post220743&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_obguck8y4qgkmkmgog0774gm4a8aaa732c82coxoc28c237aaa8a4mg4770gogmkmkgqy48kcugboz1231x1778460c62w126873x35d53y7333y735d53x378621w26c0648771x1321|name=11|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_gggy2o4qa6xoooy7okmkoy1cuh6sggs6hucy1okmkoy7ooox6aq4oy2gggz78d6cs4k51244w67x368268osaaa2a4d14ssw7w21w12w7wss41d4a2aaaso862863x76w44215k4sc6d87|name=11|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_2aordd6zwp21so8ogzxhhwhhzwj8g73231z8a3rmmc|name=11|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;post178547&quot; /&gt; &lt; h &amp;le; [[56P6H1V0|12]]<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 7&lt;ref name=&quot;post178722&quot; /&gt; &lt; h &amp;le; {{LinkCatagolue|xq6_8k64a213530ckk0c2m4swq3qws484c4swq3qws4m2c0kkc035312a46k8zyc1x71x17y371x17x1|name=9|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;MM-WLS&quot; /&gt; &lt; h &amp;le; [[86P6H3V0|13]]<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;post178547&quot; /&gt; &lt; h &amp;le; [[Loafer|10]]<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref name=&quot;MM-WLS&quot; /&gt; &lt; h &amp;le; [[Weekender|12]]<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8&lt;ref&gt;verified by DroneBetter in 5.7 hours with rlifesrc&lt;/ref&gt; &lt; h &amp;le; [[Soba|42]]<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> {{EmbedViewer<br /> |pname = knownspaceshipsbyheight<br /> |viewerconfig = #C [[ WIDTH 800 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Spaceships by height<br /> }}<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |+ style=&quot;text-align: left;&quot; | Single-phase height<br /> |-<br /> ! Velocity !! Asymmetric || Odd-symmetric&lt;br /&gt;(strict) || Even-symmetric&lt;br /&gt;(strict) || Gutter&lt;br /&gt;(strict) || Odd glide-symmetric&lt;br /&gt;(strict) || Even glide-symmetric&lt;br /&gt;(strict)<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28aga82ese28agga82ejt0g40s0cf1zx112731yk137211|name=8|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[64P2H1V0|8]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=8|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_32mmgozg0igke72z1n2q1z0qgm1z0hjrgz0a889be4z0lhhpd72z0ostz0l0m8zoeklozwkgine4zc46601|name=8|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/3<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[25P3H1V0.1|5]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=5|style=raw}}<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_0gu16zcdc1z0g8br1z111qjjzwo4kccz0cd01zw78bcczxmiiz135kn1zccc111z03u1ozx1|name=7|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_25c4a8goko06550687099c0264egij2630362jige4620c99078605560okog8a4c52|name=5|style=raw}}<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_0gu16zclchz1t0ozc6nk8gzw15oozwcqrqzeeazw6brbzwgk33z6ct521zgn03z6l6hz01fgc|name=6|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=7|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_0367p6oz0emm011zd8ovzxfrmzo03e2qpszp0b9hncz0o0dc2ssz3n0kkkl8z3f0oo0uszc08a4loze03q2fcszw3pdl2zo8cv31z2oknz01hhciez031321|name=8|style=raw}}&lt;ref name=&quot;post222444&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_w84m731gvec8o8cgwgc8o8cevg137m48z8b1011y5ee22eey51101b8|name=9|style=raw}}&lt;ref name=&quot;post222442&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_7094uz0go83h2zg3n4698z3cf9h1ggzwcth4g8zy0dabzxgr5tzw3bo2ghzs3v988z0su26p1zw11s84ze0927|name=8|style=raw}}&lt;ref name=&quot;post222481&quot; /&gt;<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|5]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|6]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6eeed72z05m04ogz0pvij1zqq8447z2v824sz0p699gzkv1423z5lhiiez09v4cogz0a6021z6777be4|name=7|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|6]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|5]]<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 6&lt;ref name=&quot;post222547&quot; /&gt; &lt; h &amp;le; [[Two HWSS dragging boat|8]]<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[LWSS on MWSS 3|6]]&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_ah1197z286286s8zxt21z08g29is8z94118hz122223|name=7|style=raw}}&lt;ref name=&quot;post222547&quot; /&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_g47j7a4z0rks72z34864zcihm2zgd2je4z02ece52z0kag95ze55996z8ln2z0gh4ecz0jew42z6aa666zw77e84z08e6ek8z1m8pe4z69hd8zo42c4z0r57s8z14spsa4|name=7|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_cm6iuge0653kg0gk3560egui6mcxo08ckkokkc80oxcm6iuge0653kg0gk3560egui6mcz033266yb66233x1y91x33266yb66233|name=7|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=7|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | [[Spider|7]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_32k0gc0cgz0grld433z03us1nsz06701ltz104c2za42iee|name=9|style=raw}}&lt;ref name=&quot;post222435&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_obguck8y4qgkmkmgog0774gm4a8aaa732c82coxoc28c237aaa8a4mg4770gogmkmkgqy48kcugboz1231x1778460c62w126873x35d53y7333y735d53x378621w26c0648771x1321|name=9|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_gggy2o4qa6xoooy7okmkoy1cuh6sggs6hucy1okmkoy7ooox6aq4oy2gggz78d6cs4k51244w67x368268osaaa2a4d14ssw7w21w12w7wss41d4a2aaaso862863x76w44215k4sc6d87|name=10|style=raw}}&lt;ref name=&quot;post222909&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_2aordd6zwp21so8ogzxhhwhhzwj8g73231z8a3rmmc|name=9|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> ==Known diagonal spaceships by diagonal width and height==<br /> These are measured in [[half-diagonal]]s, as the width of the intersection of a 1-cell-wide orthogonal ray with the cells that turn on during the spaceship's motion.<br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |+ style=&quot;text-align: left;&quot; | Minimum width<br /> |-<br /> ! Velocity !! Asymmetric !! Symmetric !! Gutter !! Glide-symmetric<br /> |-<br /> | (1,1)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|4]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=11|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=11|style=raw}}<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Glider|4]]<br /> |-<br /> |strict<br /> | style=&quot;background: #80ff80;&quot; | [[big glider|15]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[big glider|15]]&lt;ref name=&quot;post172047&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_yig08wcc4kk8153zyf251pu2u1zycg61u602zy7oog08fge3zw84sx82b901z6923w8d01zx221|name=12|style=raw}}&lt;ref name=&quot;post172047&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_g0g056021m6gz8lh0gy1e776h2gsz01102mff1gca97w4cwgzy21446w6408g0123zya111|name=21|style=raw}}&lt;ref name=&quot;post223806&quot; /&gt;<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | [[67P5H1V1|15]]<br /> | style=&quot;background: #80ff80;&quot; | [[86P5H1V1|27]]<br /> | style=&quot;background: #80ff80;&quot; | [[86P5H1V1|27]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 13&lt;!--rlifesrc--&gt; &lt; w &amp;le; {{LinkCatagolue|xq6_yzyj8mh15zyzy3g4484qba82am42f3zyzgg0c661aeoghgy2hi9gzyz1f6y31043g88rr8zysgg888077y7o9m42zyng0cu44mb4aa3cc0c4220a6022zyhgc26g044896013f8v0o8g761zyeo0e9842113xs8406753zya868g1gg402amocc87646czy3g8g224vgwgslh89h0174czy234c52og9854ke4p8152z08oo0464me6whjimz71x843o1x133zy1711|name=26|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 25&lt;!--rlifesrc--&gt; &lt; w &amp;le; {{LinkCatagolue|xq6_y2gowge9e1114zx462hg065d112b0448zkaae1fg32y2rc54ug06608z304w11ch05hujhy13wa6q8c8zy7cc011pg8y2374nozy91w14f1bbego0gggewbggzyl4404o2hg06k644448g0gsozyr2v01401xgg1o01zys12k8wgmm1p4550774zys1332y0dctwco9720cc8zyzy46ew4qkc0ggzyzyb669dew666ggozyzydee0ggx11113iigzyzyf23fowgg8o6518fggwgkk8zyzyi1w35446owo44mb16kk4ss6zyzyoo0s6bp2hzyzyp1wgvcd|name=33|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 25 &lt; w &amp;le; {{LinkCatagolue|xq6_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|name=55|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq6_yzyj8mh15zyzy3g4484qba82am42f3zyzgg0c661aeoghgy2hi9gzyz1f6y31043g88rr8zysgg888077y7o9m42zyng0cu44mb4aa3cc0c4220a6022zyhgc26g044896013f8v0o8g761zyeo0e9842113xs8406753zya868g1gg402amocc87646czy3g8g224vgwgslh89h0174czy234c52og9854ke4p8152z08oo0464me6whjimz71x843o1x133zy1711|name=26|style=raw}}&lt;ref name=&quot;post172047&quot; /&gt;&lt;!--24 disproven with WLS, rlifesrc has verified as far as 22--&gt;<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Lobster|31]]<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Lobster|31]]<br /> | style=&quot;background: #ffa0a0;&quot; | 21 &lt; w &amp;le; {{LinkCatagolue|xq7_y4oo04jmzy7751zy1ce32621y3g0oo08ogz033360gn6oogw4uhw111cc1xgcoz6670ggh104so0331y5330sm6zy033y011y6goc8o84zyeccco11soy1go4w647jg532zydoosx660jj20cc72y111zyhee2x77|name=65|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Walrus|24]]<br /> | style=&quot;background: #ffa0a0;&quot; | 19&lt;!--rlifesrc--&gt; &lt; w &amp;le; {{LinkCatagolue|xq8_ybg811hk03r688zy9f90gfto403ewgo80oozy1o88oy211115xi8y111zsw2hc4csqv0gy337pzcsh894c98w80g873244zx3y0c6zy4333|name=51|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 19 &lt; w &amp;le; {{LinkCatagolue|xq8_ybg811hk03r688zy9f90gfto403ewgo80oozy1o88oy211115xi8y111zsw2hc4csqv0gy337pzcsh894c98w80g873244zx3y0c6zy4333|name=51|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;!--rlifesrc--&gt; &lt; w &amp;le; [[Walrus|24]]<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | w &amp;le; {{LinkCatagolue|xq8_xeuoqpk880ggz8oo03b8qf1013j044gzx1hsxai862w11ko084oozy36186088gy4iguggzy78hn4gx8ggop111f04aa08zyb1120elnsw562y111cegzyh368gy99dczyk1050a8cccc8a8b0k0b088zyr3311211ehd231ggbuiozyz540ogp3o80kg1ac0gzyzx11win09g0k04jggo488zyzy622i01hhhtf04tot4zyzy81038qqu0cgw16e08g8czyzyiad0me3hw3rofgzyzyi1220o163fa48811acggwoozyzyn1x35224y0106g1e608ggzyzyt8lff0oo0ogi2a0811zyzyx21ko803ep843120b88bsozyzyzy31v544s4hce01050koozyzyzy311wfdb0gy21472zyzyzy91730ac4|name=24|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | w &amp;le; {{LinkCatagolue|xq8_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|name=51|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | w &amp;le; {{LinkCatagolue|xq8_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|name=51|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | w &amp;le; {{LinkCatagolue|xq8_2338iggy1gok8zx12d897x3f81psogk4zx8kem64cy613fbo4011uozy210i7vgy634622w6ko8oczy41w77ie82qcy566g0gzy7688oo09o0g0cc0gy131zye8f5y0231|name=35|style=raw}}<br /> |-<br /> | (1,1)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;!--rlifesrc--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;!--rlifesrc--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,2)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;!--rlifesrc--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21&lt;!--rlifesrc--&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 21<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |}<br /> <br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |+ style=&quot;text-align: left;&quot; | Minimum height<br /> |-<br /> ! Velocity !! Asymmetric !! Symmetric (strict) !! Gutter (strict) !! Glide-symmetric (strict)<br /> |-<br /> | (1,1)c/4<br /> | style=&quot;background: #80ff80;&quot; | [[Glider|5]]&lt;ref name=&quot;post178496&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=13|style=raw}}&lt;ref name=&quot;post178496&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_g8i17z10fg0gogy1gzy33364o21jzy5110131t4xgcozya33wee40gwkc8zyh33jgggo0gzyj11x2n98g532zyp1w176s8zyv2444kk8153|name=14|style=raw}}&lt;ref name=&quot;post178496&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|5]]&lt;ref name=&quot;post178496&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_yvoic6332gkozypgs04s811gzyl4s68f11x123zyg8kg1731zyeg2289czy7oq8akis263zy2iac52z48k27138gszx247|name=13|style=raw}}&lt;ref name=&quot;post178496&quot; /&gt;<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #80ff80;&quot; | [[58P5H1V1|12]]&lt;ref name=&quot;post172628&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[58P5H1V1|12]]&lt;ref name=&quot;post172628&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[58P5H1V1|12]]&lt;ref name=&quot;post172628&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post172628&quot; /&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post172628&quot; /&gt;<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #80ff80;&quot; | [[77P6H1V1|12]]&lt;ref name=&quot;post4365&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[77P6H1V1|12]]&lt;ref name=&quot;post4365&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post224014&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post224014&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #ffa0a0;&quot; | 12&lt;ref name=&quot;post224014&quot; /&gt;<br /> |-<br /> |}<br /> <br /> ==Known spaceships by population==<br /> Herein, &quot;strict&quot; is used to refer to spaceships that cannot be decomposed into multiple smaller spaceships which still behave equivalently. (For instance, [[MWSS on MWSS 1]]'s MWSSs would emit their side sparks in both phases if separated, so it is strict, where {{LinkCatagolue|xq4_6frcxcrf6|name=a LWSS pair|style=raw}} is not.)<br /> <br /> The evolution sequences of all patterns with up to 8 cells have been classified, so all stable objects of &amp;le; 8 cells (or with predecessors thereof) are known. As such, all negative results here have 8 as an additional lower bound.&lt;ref&gt;{{LinkForumThread|f=2|t=3604|format=ref|title=Systematic survey of small patterns|author=Nick Gotts|date=November 28, 2018}}&lt;/ref&gt;<br /> {|class=&quot;wikitable&quot; style=&quot;text-align: center&quot;<br /> |-<br /> ! Velocity !! Asymmetric !! Odd-symmetric !! Even-symmetric !! Gutter !! Odd glide-symmetric !! Even glide-symmetric<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | [[64P2H1V0|64]]&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[64P2H1V0|64]]&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_1fc0s04g0tje28agga82ejt0g40s0cf1zx112731ya137211|name=66|style=raw}}&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[70P2H1V0.1|70]]&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq2_38h6kogzwiiqq241hiszw1y122q2imogzy88gmghezy6c08621|name=65|style=raw}}&lt;ref name=&quot;amling-c/2-pop-le-98&quot; /&gt;<br /> |-<br /> | (1,0)c/3<br /> |rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[25P3H1V0.1|25]]&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;<br /> |rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Dart|34]]&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;<br /> |rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Turtle|44]]&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_16614e8o4aa82cc202cc28aa4o8e41661|name=50|style=raw}}&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;<br /> |rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | strict<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq3_xr3v488zcori2gzxnkzocc704zw3d1sg88zx333|name=52|style=raw}}&lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot; /&gt;<br /> |-<br /> | (1,0)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[37P4H1V0|37]]&lt;ref name=&quot;amling-c/4-pop-le-37&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[46P4H1V0|46]]&lt;ref name=&quot;post172207&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_13ho8gyeg8oh31zw134dh1i0s0s8w8s0s0i1hd431zy74b8228b4|name=58|style=raw}}&lt;ref name=&quot;post172249&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[46P4H1V0|46]]&lt;ref name=&quot;post172207&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_7094uz4ee2dd0kg0gzxs0kk08mk1zgoo0oo0k4142zg19hu2z30201|name=59|style=raw}}&lt;ref name=&quot;post179535&quot; /&gt;<br /> |-<br /> | (1,1)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Glider|5]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=10|style=raw}}&lt;ref name=&quot;amling-(1,1)c/4-pop-le-9&quot; /&gt;&lt;ref name=&quot;post219270&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_o8g351z1|name=10|style=raw}}&lt;ref name=&quot;amling-(1,1)c/4-pop-le-9&quot; /&gt;&lt;ref name=&quot;post219270&quot; /&gt;<br /> | rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Glider|5]]<br /> |-<br /> | strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 29&lt;ref name=&quot;post219270&quot; /&gt; &lt; p &amp;le; {{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=37|style=raw}}<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | 29&lt;ref name=&quot;post219270&quot; /&gt; &lt; p &amp;le; {{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=50|style=raw}}<br /> |-<br /> | pure<br /> | style=&quot;background: #ffa0a0;&quot; | 27&lt;ref name=&quot;post219697&quot; /&gt; &lt; p &amp;le; [[B29|29]]<br /> |-<br /> | (2,0)c/4<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|9]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6frcxcrf6|name=18|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6rucwcur6|name=18|style=raw}}<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6frcxcrf6|name=18|style=raw}}<br /> | rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[Lightweight spaceship|9]]<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_6frcx6frc|name=18|style=raw}}<br /> |-<br /> | strict<br /> | style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|20]]&lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot; /&gt;&lt;ref name=&quot;NiemiecCounts&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq4_e9885zxe994o10czy3g9fzx79921803z7911a|name=48|style=raw}}&lt;ref name=&quot;post203118&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[MWSS on MWSS 1|20]]&lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot; /&gt;&lt;ref name=&quot;NiemiecCounts&quot; /&gt;<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[Two HWSS dragging boat|32]]&lt;ref name=&quot;post203142&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | [[LWSS on MWSS 1|20]]&lt;ref name=&quot;NiemiecCounts&quot; /&gt;&lt;ref name=&quot;post203054&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | [[Big A|32]]&lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot; /&gt;<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Spider|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Spider|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq5_ug1hmgc865da808ad568cgmh1guwug1hmgc865da808ad568cgmh1guz124w6yb6w421w124w6yb6w421|name=116|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Spider|58]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/5<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P5H1V1|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P5H1V1|58]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P5H1V1|58]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/5<br /> |rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[30P5H2V0|30]]&lt;ref name=&quot;amling-2c/5-pop-le-31&quot; /&gt;<br /> |rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[44P5H2V0|44]]&lt;ref name=&quot;post177064&quot; /&gt;<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_0gggwmdhdmggwggmdhdmwgggz2h9nx1x22w22x1xn9h2|name=60|style=raw}}&lt;ref name=&quot;post181787&quot; /&gt;<br /> |rowspan=&quot;3&quot; style=&quot;background: #80ff80;&quot; | [[44P5H2V0|44]]&lt;ref name=&quot;post177064&quot; /&gt;<br /> |rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |rowspan=&quot;3&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> |strict<br /> | rowspan=&quot;2&quot; style=&quot;background: #80ff80;&quot; | [[70P5H2V0|70]]&lt;ref name=&quot;post220821&quot; /&gt;<br /> |-<br /> | pure<br /> | style=&quot;background: #80ff80;&quot; | {{LinkCatagolue|xq5_ggg035d2sg0gs2d530gggz3sfcwc8r2o2r8cwcfs3|name=57|style=raw}}&lt;ref name=&quot;post181755&quot; /&gt;<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[56P6H1V0|56]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_eaqqrexcswscxerqqaexeaqqrexcswscxerqqaezy2c330a66a033cybc330a66a033czy331y213yd31y213|name=112|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[56P6H1V0|56]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_eaqqrexcswscxerqqaexeaqqrexcswscxerqqaezy2c330a66a033cybc330a66a033czy331y213yd31y213|name=112|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[77P6H1V1|77]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[77P6H1V1|77]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_yzyoos296zyzyioo638011zyzyagggweeee442zyzy7skitc74cc6zyzy4sssw8f6zyzw8c4j30971zywg84m66zyrgo4ic011zylggc6g033zyissst984zyao84rpf8ooczy7ooo11hvczy1go8660jf3z0g8cccw1z1221|name=154|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Seal|170]]<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[72P6H2V0|72]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[72P6H2V0|72]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_0g0ggchp92c608gggo8e6mgz1s612vy42648s3ep1ssszg7cg8vy48c427oejg777z010116hji86c0211132ecd1|name=128|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[72P6H2V0|72]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_8k64a213530ckk0c2m4swq3qws484c4swq3qws4m2c0kkc035312a46k8zyc1x71x17y371x17x1|name=110|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_w4a2a8jj8a2a4zy0j4ijji4jzx3313rr3133z08460mussum0648zxdj8gggg8jdzee8c0k666mk0sgeezw301y2221|name=129|style=raw}}<br /> |-<br /> | (2,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Sir Robin|282]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[86P6H3V0|86]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[86P6H3V0|86]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_y2ogm6e3z8suj23aqaa98gzo605y01345024ozgrodwgokmhl821z013626qaa2kzy43336|patternname=104|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq6_y2c2h17071h2cz0g8c2v0ng2u0u2gn0v2c8gz4a20ia03r1x1r30ai02a4zwgkm83y538mkgzy14y74|name=108|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,0)c/7<br /> | rowspan=&quot;2&quot; style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Loafer|20]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_3nw17862026871wn3z6952y72596|name=40|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_26871wn3y03nw17862zy12596y06952|name=40|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_26871wn3x3nw17862zy12596x6952|name=40|style=raw}}<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> | rowspan=&quot;2&quot; style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> |strict<br /> | style=&quot;background: #ffa0a0;&quot; |p &amp;le; [[taco|90]]<br /> | style=&quot;background: #ffa0a0;&quot; |p &amp;le; {{LinkCatagolue|xq7_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|name=684|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; |p &amp;le; [[taco|90]]<br /> |-<br /> | (1,1)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Lobster|83]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Lobster|83]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_y4oo04jmzy7751zy1ce32621y3g0oo08ogz033360gn6oogw4uhw111cc1xgcoz6670ggh104so0331y5330sm6zy033y011y6goc8o84zyeccco11soy1go4w647jg532zydoosx660jj20cc72y111zyhee2x77|name=166|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Weekender|36]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_7dfxg88gxfd7x7dfxg88gxfd7zw123u2222u321y3123u2222u321|name=72|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Weekender|36]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq7_7dfxg88gxfd7x7dfxg88gxfd7zw123u2222u321y3123u2222u321|name=72|style=raw}}<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[232P7H3V0|232]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[232P7H3V0|232]]<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[232P7H3V0|232]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Walrus|68]]<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[Walrus|68]]<br /> |-<br /> | (2,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[74P8H2V0|74]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_1263hoc6coh3621zxo60l2l06ozwvw2o0o2wvz0o0rjpxpjr0ozcfhi3108013ihfczxduik9kiud|name=121|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_x6atw3becy4ceb3wta6zgcxcqcqcxcgwgcxcqcqcxcgz02e4m1u0u1m4e2y02e4m1u0u1m4e2zxiigmgmgiiy4iigmgmgiizy11x1y81x1|name=148|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_x6atw3becy3ceb3wta6zgcxcqcqcxcg0gcxcqcqcxcgz02e4m1u0u1m4e2x2e4m1u0u1m4e2zxiigmgmgiiy3iigmgmgiizy11x1y71x1|name=148|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[74P8H2V0|74]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_x6atw3becy46atw3beczgcxcqcqcxcgwgcxcqcqcxcgz02e4m1u0u1m4e2y02e4m1u0u1m4e2zxiigmgmgiiy4iigmgmgiizy11x1y81x1|name=148|style=raw}}<br /> |-<br /> | (2,2)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_x67xecgy6ggz84gevjrgu810223wsp631118aczx3otoy46408gzy2oic6332gko0111zy0c81hzy2223|name=89|style=raw}}<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (4,0)c/8<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[31P8H4V0|31]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P8H4V0|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_0ooc4rbhe644w446ehbr4cooz6d73x7frcy0crf7x37d6|name=62|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; [[58P8H4V0|58]]<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_027de6eozgocss5bor7266z0hhy0rz13677kq3rsz08smece3|name=62|style=raw}}<br /> | style=&quot;background: #ffa0a0;&quot; | p &amp;le; {{LinkCatagolue|xq8_0sighgazy1egq40ooz79111895zsiggg2ikzy1e1b4z0791h1a|name=62|style=raw}}<br /> |}<br /> <br /> ==Full Censuses==<br /> This section contains details on searches that completely cover all ships in a particular search space. For example, all c/4 orthogonal ships of width 10. There are infinitely many such ships, but a finite collection can be made that includes all possible rows present in a width-10 c/4 orthogonal ship. This section only includes census containing at least one ship.<br /> <br /> ===c/2 orthogonal===<br /> <br /> * All (1,0)c/2 ships up to a population of 127 cells&lt;ref name=&quot;post175793&quot; /&gt; (total number of ships only; complete stamp collection up to 80 cells&lt;ref name=&quot;post171031&quot; /&gt;)<br /> * All (2,0)c/4 ships up to a population of 25 cells (28 ships)&lt;ref name=&quot;NiemiecCounts&quot; /&gt;&lt;ref name=&quot;post203054&quot; /&gt;<br /> * All (2,0)c/4 odd-symmetric ships up to a population of 35 cells (4 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], [[Big A]], and [[X66]])&lt;ref name=&quot;post172601&quot; /&gt;<br /> * All (2,0)c/4 even-symmetric ships up to a population of 48 cells ({{LinkCatagolue|xq4_e9885zxe994o10czy3g9fzx79921803z7911a|name=1 strict ship|style=raw}})&lt;ref name=&quot;post203118&quot; /&gt;<br /> * All (2,0)c/4 even-glide-symmetric ships up to a population of 35 cells ([[Two HWSS dragging boat|1 strict ship]])&lt;ref name=&quot;post203142&quot; /&gt;<br /> * All (2,0)c/4 ships up to width 11 (7 ships)&lt;ref name=&quot;post126570&quot; /&gt;<br /> * All (2,0)c/4 ships up to single-phase width 9 (3 width-4 ships: [[LWSS]], [[MWSS]], and [[HWSS]]; [[MWSS on MWSS 3|1 width-8 ship]]; 18 width-9 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/4 ships up to height 7 (strings of interacting [[lightweight spaceship|lightweight]] and [[middleweight spaceship|middleweight]] spaceships only)&lt;ref name=&quot;post172309&quot; /&gt;<br /> * All (2,0)c/4 ships up to single-phase height 6 ({{LinkCatagolue|xq4_6ud72zuf92iszogl58oz3vk221z33572|name=this ship|style=raw}} and strings of interacting [[lightweight spaceship|lightweight]] and [[middleweight spaceship|middleweight]] spaceships)&lt;ref name=&quot;post222547&quot; /&gt;<br /> * All (2,0)c/4 odd-symmetric ships up to width 15 (6 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], [[X66]], and three [[hivenudger]] variants)&lt;ref name=&quot;MM2&quot;/&gt;<br /> * All (2,0)c/4 odd-symmetric ships up to single-phase width 13 (2 width-9 ships: [[MWSS on MWSS 1]] and [[HWSS on HWSS 1]]; [[X66|1 width-11 ship]]; [[hivenudger|9 width-13 ships]])&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/4 gutter-symmetric ships up to width 17 (3 strict ships: [[MWSS on MWSS 1]], [[HWSS on HWSS 1]], and [[X66]])&lt;ref name=&quot;MM2&quot;/&gt;<br /> * All (2,0)c/4 odd-glide-symmetric ships up to single-phase width 14 (3 width-4 ships: [[LWSS]], [[MWSS]], and [[HWSS]]; {{LinkCatagolue|xq4_i1hfw21hfz01170lhu6z0gq235d488zeeidam62ggvczwqv0r8753zxh0dn6zwce0cl6|name=1 width-12 ship|style=raw}}; 15 width-14 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/4 even-glide-symmetric ships up to single-phase width 13 (2 ships: [[two HWSS dragging boat]] and [[comma-pusher]])&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/4 ships up to width 13 with a population of 50 or fewer cells&lt;ref name=&quot;post59813&quot; /&gt;<br /> * All (4,0)c/8 ships up to width 11 ({{LinkCatagolue|xq8_e9885e88wgs046gy34eb766cg22aazsigg83cd47307q0ne3qsma4e68mmuw177w33244zym11|name=1 period-8 ship|style=raw}})&lt;ref name=&quot;post126570&quot; /&gt;<br /> <br /> ===c/3 orthogonal===<br /> <br /> * All (1,0)c/3 ships up to a population of 50 cells&lt;ref name=&quot;amling-c/3-pop-le-49&quot; /&gt;&lt;ref name=&quot;post203269&quot; /&gt;<br /> * All (1,0)c/3 odd-symmetric ships up to a population of 67 cells (26 strict ships)&lt;ref name=&quot;post172607&quot; /&gt;<br /> * All (1,0)c/3 even-symmetric ships up to a population of 86 cells (29 strict ships)&lt;ref name=&quot;post172640&quot; /&gt;<br /> * All (1,0)c/3 ships up to width 13&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/3 ships up to height 6 ([[25P3H1V0.1|1 height-5 ship]]; 4 height-6 ships)&lt;ref name=&quot;post172309&quot; /&gt;<br /> * All (1,0)c/3 ships up to single-phase height 5 (infinitely many ships)&lt;ref name=&quot;post222435&quot; /&gt;<br /> * All (1,0)c/3 odd-symmetric ships up to width 19 ([[dart|1 width-15 ship]]; infinitely many width-17+ ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/3 odd-symmetric ships up to single-phase width 15 ([[dart|1 ship]])&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/3 even-symmetric ships up to width 20 ([[turtle|1 width-12 ship]]; infinitely many width-14+ ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/3 even-symmetric ships up to single phase width 12 ([[turtle|1 width-10 ship]]; 0 width-12 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/3 gutter-symmetric ships up to width 21 ([[brain|1 width-17 ship]]; infinitely many width-19+ ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/3 gutter-symmetric ships up to single-phase width 17 ([[brain|1 ship]])&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/6 even-symmetric ships up to width 18&lt;ref name=&quot;coe5&quot; /&gt;<br /> * All (2,0)c/6 even-glide-symmetric ships up to width 18&lt;ref name=&quot;coe5&quot; /&gt;<br /> <br /> ===c/4 orthogonal===<br /> <br /> * All (1,0)c/4 ships up to a population of 37 cells ([[37P4H1V0|1 ship]])&lt;ref name=&quot;amling-c/4-pop-le-37&quot; /&gt;<br /> * All (1,0)c/4 odd-symmetric ships up to a population of 61 cells (4 ships: [[46P4H1V0]], {{LinkCatagolue|xq4_7094uz4ee2dd0kg0gzxs0kk08mk1zgoo0oo0k4142zg19hu2z30201|name=this 59-cell ship|style=raw}}, {{LinkCatagolue|xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221|name=this 61-cell ship|style=raw}}, and {{LinkCatagolue|xq4_mp6z5992gozy016u8c44czy1pv5c99dz844g36zr7pz01|name=this 61-cell ship|style=raw}})&lt;ref name=&quot;post179535&quot; /&gt;<br /> * All (1,0)c/4 even-symmetric ships up to a population of 58 cells ({{LinkCatagolue|xq4_13ho8gyeg8oh31zw134dh1i0s0s8w8s0s0i1hd431zy74b8228b4|name=1 ship|style=raw}})&lt;ref name=&quot;post172249&quot; /&gt;<br /> * All (1,0)c/4 ships up to width 11&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/4 ships up to height 8 ({{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=1 ship|style=raw}})&lt;ref name=&quot;post172309&quot; /&gt;<br /> * All (1,0)c/4 ships up to single-phase height 7 ({{LinkCatagolue|xq4_02k4772z31h28oz560ao31z2ud62zhhd0gozy11|name=1 ship|style=raw}})&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/4 odd-symmetric ships up to width 17&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/4 odd-symmetric ships up to single-phase width 11 (9 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/4 even-symmetric ships up to width 18 (2 width-16 ships: {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=this ship|style=raw}} and {{LinkCatagolue|xq4_wb1o4w4o1bzw7ssowoss7zy1cccczw821dccd128zxddugguddz1tb201dd102bt1zefhsiswsishfezw2e033330e2zw373y0373|name=the same ship with a tagalong|style=raw}}; infinitely many width-18 ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/4 even-symmetric ships up to single-phase width 14 (2 ships: {{LinkCatagolue|xq4_w434y0434z0om7e0mm0e7mozh1kf431134fk1hzdg122e11e221gdzxp74mm47pzx166w661|name=this ship|style=raw}} and {{LinkCatagolue|xq4_wb1o4w4o1bzw7ssowoss7zy1cccczw821dccd128zxddugguddz1tb201dd102bt1zefhsiswsishfezw2e033330e2zw373y0373|name=the same ship with a tagalong|style=raw}})&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (1,0)c/4 gutter-symmetric ships up to width 19&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> <br /> ===c/4 diagonal===<br /> <br /> * All (1,1)c/4 ships up to a population of 27 cells (3 ships: [[glider]], [[crab]], and [[wings]])&lt;ref name=&quot;post219697&quot; /&gt;<br /> * All (1,1)c/4 symmetric ships in an {{times|18|18}} bounding box ({{LinkCatagolue|xq4_y48444552gkozwg808oc72zcgfzw247|name=1 strict ship|style=raw}})&lt;ref name=&quot;post172628&quot; /&gt;<br /> * All (1,1)c/4 gutter-symmetric ships in a {{times|19|19}} bounding box ({{LinkCatagolue|xq4_y184ltgz8ok0bd225dmo8ggzy6o9mp39703zy56c2|name=1 strict ship|style=raw}})&lt;ref name=&quot;post172628&quot; /&gt;<br /> * All (1,1)c/4 ships up to diagonal height 13 ([[glider|1 height-5 ship]], 5 height-13 ships)&lt;ref name=&quot;post223806&quot; /&gt;<br /> * All (1,1)c/4 ships up to diagonal width 13 ([[glider|1 width-4 ship]], {{LinkCatagolue|xq4_yig08wcc4kk8153zyf251pu2u1zycg61u602zy7oog08fge3zw84sx82b901z6923w8d01zx221|name=1 width-12 ship|style=raw}}, 2 width-13 ships: {{LinkCatagolue|xq4_8k05eu08gzxa20e2q5szy068d3x2a0248zy8oo323148ezya2c6|name=this ship|style=raw}} and {{LinkCatagolue|xq4_yecc2a851zy5gk064c60121zxokga21zwsq2z42kcz361|name=this ship|style=raw}})&lt;ref name=&quot;post172047&quot; /&gt;<br /> * All (1,1)c/4 symmetric ships up to diagonal width 19 ([[big glider|1 wdith-15 ship]])&lt;ref name=&quot;post223806&quot; /&gt;<br /> * All (1,1)c/4 gutter-symmetric ships up to diagonal width 23 ([[big glider|1 width-15 ship]], {{LinkCatagolue|xq4_y2cnrmxozcsmasy1m0qi6gzx880th4d080203148ezy513hko|name=1 width-21 ship|style=raw}}, 6 width-23 ships)&lt;ref name=&quot;post223806&quot; /&gt;<br /> * All (1,1)c/4 ships up to orthogonal width 10 ([[glider|1 width-3 ship]], 4 width-10 ships)&lt;ref name=&quot;post172047&quot; /&gt;<br /> * All (1,1)c/4 ships up to single-phase orthogonal width 9 ([[glider|1 width-3 ship]], [[B29|1 width-7 ship]], [[swan|1 width-8 ship]], 12 width-9 ships)&lt;ref name=&quot;post172047&quot; /&gt;<br /> <br /> ===c/5 orthogonal===<br /> <br /> * All (1,0)c/5 ships up to height 8&lt;ref name=&quot;post172604&quot; /&gt;<br /> * All (1,0)c/5 even-symmetric ships up to width 18&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (1,0)c/5 gutter-symmetric ships up to width 19&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> <br /> ===c/5 diagonal===<br /> <br /> * All (1,1)c/5 ships up to diagonal height 12 ([[58P5H1V1|1 ship]])&lt;ref name=&quot;post172628&quot; /&gt;<br /> * All (1,1)c/5 ships up to diagonal width 16 ([[67P5H1V1|1 ship]])&lt;ref name=&quot;post172309&quot; /&gt;<br /> * All (1,1)c/5 symmetric ships up to diagonal width 27 (2 ships: [[86P5H1V1]] and {{LinkCatagolue|xq5_yjggn6kzyf8k0cdh7qzyabm4ooot1sy01aik6st0764zy6ait0h0h1ogxtt506495zy4dv8e4spg3aaxb596c8z0ggo0407321ok8urao35161zoh11xggg511zx64w33|name=this ship|style=raw}})&lt;ref name=&quot;post172133&quot; /&gt;<br /> * All (1,1)c/5 gutter-symmetric ships up to diagonal width 29 ([[86P5H1V1|1 ship]])&lt;ref name=&quot;post172309&quot; /&gt;<br /> <br /> ===2c/5 orthogonal===<br /> <br /> * All (2,0)c/5 ships up to a population of 37 cells (2 ships: [[30P5H2V0]] and [[34P5H2V0]])&lt;ref name=&quot;post221244&quot; /&gt;<br /> * All (2,0)c/5 odd-symmetric ships up to a population of 57 cells (2 ships: [[44P5H2V0]] and {{LinkCatagolue|xq5_ggg035d2sg0gs2d530gggz3sfcwc8r2o2r8cwcfs3|name=this ship|style=raw}})&lt;ref name=&quot;post181755&quot; /&gt;<br /> * All (2,0)c/5 even-symmetric ships up to a population of 74 cells (3 strict ships: [[70P5H2V0]], {{LinkCatagolue|xq5_y4j55ewe55jzy1gqf46ay0a64fqgz7pvow4x11w11x4wovp7z01yi1|name=this ship|style=raw}}, and {{LinkCatagolue|xq5_y243hf33fh34z27fs0s3ooy0oo3s0sf72zx12d9fy2f9d21|name=this ship|style=raw}})&lt;ref name=&quot;post221244&quot; /&gt;<br /> * All (2,0)c/5 ships up to width 12 ({{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=1 width-10 ship|style=raw}}; infinitely many width-11 ships; infinitely many width-12 ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/5 ships up to single-phase width 9 ({{LinkCatagolue|xq5_rhlmggz3gggoar7zxpdm57zwmk8izw1ghe2zwmdb|name=1 width-8 ship|style=raw}}; 0 width-9 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/5 odd-symmetric ships up to width 17 ([[44P5H2V0|1 width-15 ship]]; infinitely many width-17 ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/5 even-symmetric ships up to width 20 ([[70P5H2V0|1 ship]])&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/5 even-symmetric ships up to single-phase width 18 ([[70P5H2V0|1 ship]])&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (2,0)c/5 gutter-symmetric ships up to width 21 ([[44P5H2V0|1 width-15 ship]]; {{LinkCatagolue|xq5_gv9r4oy3o4r9vgz11cv011gxg110vc11zw2m5j9rg0gr9j5m2zwecl52pxp25lcez066kpc9gxg9cpk66zxhd8l11011l8dhz06v1f0eic0cie0f1v6zx152y3251|name=1 width-19 ship|style=raw}}; infinitely many width-21 ships)&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> * All (2,0)c/5 gutter-symmetric ships up to single-phase width 17 ([[44P5H2V0|1 width-15 ship]]; 0 width-17 ships)&lt;ref name=&quot;post222481&quot; /&gt;<br /> * All (4,0)c/10 odd-symmetric ships up to width 15 (3 period-10 ships)&lt;ref name=&quot;MM2&quot;/&gt;<br /> <br /> ===c/6 orthogonal===<br /> <br /> * All (1,0)c/6 even-symmetric ships up to width 18 ([[dragon|1 ship]])&lt;ref name=&quot;knightt-results&quot; /&gt;<br /> <br /> ===c/6 diagonal===<br /> <br /> * All (1,1)c/6 ships up to diagonal height 12 ([[77P6H1V1|1 ship]])&lt;ref name=&quot;post224014&quot; /&gt;<br /> <br /> ===2c/7 orthogonal===<br /> <br /> * All (2,0)c/7 even-symmetric ships up to width 22 (2 ships: [[weekender]] and {{LinkCatagolue|xq7_wcufecxggxcefuczy0111agmhhmga111zxcigc01y010cgiczy044c8y28c44zy2n08888880nzwgski1y41iksgz37aqikja066660ajkiqa73zw3kmk203y0302kmk3zy0245umowomu542zy124119kk91142zxo4kkiey0eikk4ozy02c87y278c2zx6f78y487f6z02dlg2ty4t2gld2zw730ooy4oo037|name=weekender + tagalong|style=raw}})&lt;ref name=&quot;post126432&quot; /&gt;<br /> <br /> ===c/10 orthogonal===<br /> <br /> * All (1,0)c/10 even-symmetric ships up to width 12 ([[copperhead|1 width-10 ship]]; infinitely many width-12 ships)&lt;ref name=&quot;MM2&quot;/&gt;<br /> <br /> == See also ==<br /> * [[List of spaceships]]<br /> * [[User:Sokwe/Spaceship searches]]<br /> <br /> == Notes==<br /> &lt;references group=&quot;n&quot;&gt;<br /> &lt;ref name=&quot;sep&quot;&gt;Note that this is not recognised as a single contiguous spaceship by [[apgsearch]]'s object separation.&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;MM1&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 38623<br /> |author = Matthias Merzenich<br /> |date = December 24, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM2&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 125537<br /> |author = Matthias Merzenich<br /> |date = March 17, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM3&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 127064<br /> |author = Matthias Merzenich<br /> |date = March 26, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM4&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 127999<br /> |author = Matthias Merzenich<br /> |date = April 14, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM5&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 128542<br /> |author = Matthias Merzenich<br /> |date = April 19, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM6&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 129058<br /> |author = Matthias Merzenich<br /> |date = April 26, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;MM7&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 129655<br /> |author = Matthias Merzenich<br /> |date = May 5, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10g&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 138201<br /> |author = Matthias Merzenich<br /> |date = November 29, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10odd&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Help me finish this c/8 search<br /> |p = 90290<br /> |author = Matthias Merzenich<br /> |date = February 25, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;Sokwe-c/8-w10even&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 155106<br /> |author = Matthias Merzenich<br /> |date = December 22, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-3c/6-w20-asym&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 156124<br /> |author = Keith Amling<br /> |date = January 18, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;chen-3c/7-w31gutter&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 118727<br /> |author = Dylan Chen<br /> |date = January 10, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-c/2-pop-le-98&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = p171152<br /> |author = Keith Amling<br /> |date = November 14, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-c/3-pop-le-49&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 171012<br /> |author = Keith Amling<br /> |date = November 12, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-c/4-pop-le-37&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 171705<br /> |author = Keith Amling<br /> |date = November 22, 2023<br /> }}&lt;/ref&gt;&lt;!--maybe p171321 reveals &amp;le; 35 disproven but he didn't explicitly say--&gt;<br /> &lt;ref name=&quot;amling-(1,1)c/4-pop-le-9&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 171151<br /> |author = Keith Amling<br /> |date = November 13, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-2c/5-pop-le-31&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 171254<br /> |author = Keith Amling<br /> |date = November 15, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172047&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172047<br /> |author = Matthias Merzenich<br /> |date = November 27, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post126432&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 126432<br /> |author = Matthias Merzenich<br /> |date = March 21, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post126570&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 126570<br /> |author = Matthias Merzenich<br /> |date = March 22, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172207&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172207<br /> |author = Keith Amling<br /> |date = November 29, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172249&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172249<br /> |author = Keith Amling<br /> |date = November 30, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;amling-c/3-odd-pop-le-52&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172310<br /> |author = Keith Amling<br /> |date = December 1, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172309&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172309<br /> |author = Matthias Merzenich<br /> |date = December 1, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172604&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172604<br /> |author = Matthias Merzenich<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172601&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172601<br /> |author = Keith Amling<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172607&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172607<br /> |author = Keith Amling<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172628&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172628<br /> |author = Matthias Merzenich<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172640&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 172640<br /> |author = Keith Amling<br /> |date = December 6, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;NiemiecCounts&quot;&gt;<br /> {{cite web<br /> |url=https://conwaylife.com/ref/mniemiec/objcount.htm<br /> |title=Life Object Counts<br /> |publisher=Mark Niemiec<br /> |accessdate=December 9, 2023}}&lt;/ref&gt;<br /> &lt;ref name=&quot;post175793&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 175793<br /> |author = Keith Amling<br /> |date = January 15, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post171031&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 171031<br /> |author = Keith Amling<br /> |date = November 13, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post177064&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 177064<br /> |author = Keith Amling<br /> |date = February 1, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;knightt-results&quot;&gt;<br /> {{cite web<br /> |url=https://github.com/Matthias-Merzenich/knightt-results<br /> |title=knightt results<br /> |publisher=Matthias Merzenich<br /> |accessdate=February 17, 2024}}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172133&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 172133<br /> |author = Matthias Merzenich<br /> |date = November 28, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post59813&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 59813<br /> |author = Matthias Merzenich<br /> |date = May 7, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post4365&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: New small c/6 diagonal ship.<br /> |p = 4365<br /> |author = Matthias Merzenich<br /> |date = March 28, 2011<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post178496&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 178496<br /> |author = Matthias Merzenich<br /> |date = February 19, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post178547&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min height search results<br /> |p = 178547<br /> |author = Matthias Merzenich<br /> |date = February 20, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172210&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min height search results<br /> |p = 172210<br /> |author = Keith Amling<br /> |date = November 29, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post172215&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min height search results<br /> |p = 172215<br /> |author = Keith Amling<br /> |date = November 29, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post178722&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min height search results<br /> |p = 178722<br /> |author = Matthias Merzenich<br /> |date = February 22, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post179535&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 179535<br /> |author = Keith Amling<br /> |date = March 2, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post181755&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 181755<br /> |author = Keith Amling<br /> |date = April 3, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post181787&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 181787<br /> |author = Keith Amling<br /> |date = April 4, 2024<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203054&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: amling search program principles discussion / brain dump<br /> |p = 203054<br /> |author = Keith Amling<br /> |date = February 4, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203118&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 203118<br /> |author = Keith Amling<br /> |date = February 4, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203142&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 203142<br /> |author = Keith Amling<br /> |date = February 5, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post203269&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: LLSSS min pop search results spam<br /> |p = 203269<br /> |author = Keith Amling<br /> |date = February 6, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post217593&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 217593<br /> |author = Alex Greason<br /> |date = September 7, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post219270&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 219270<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = October 5, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post219697&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 219697<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = October 13, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post220743&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 220743<br /> |title = Re: LLSSS min height search results<br /> |author = Keith Amling<br /> |date = October 31, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post220821&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 220821<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = November 1, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post221244&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 221244<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = November 10, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222435&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222435<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = December 8, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222440&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222440<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = December 8, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222442&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222442<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = December 8, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222444&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222444<br /> |title = Re: LLSSS min pop search results spam<br /> |author = Keith Amling<br /> |date = December 8, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222481&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222481<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = December 9, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222547&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222547<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = December 9, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222861&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222861<br /> |title = Re: LLSSS min height search results<br /> |author = Matthias Merzenich<br /> |date = December 17, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222837&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222837<br /> |title = Re: LLSSS min height search results<br /> |author = Keith Amling<br /> |date = December 17, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post222909&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222909<br /> |title = Re: LLSSS min height search results<br /> |author = Keith Amling<br /> |date = December 19, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post223389&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 223389<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = December 31, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post223806&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 223806<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = January 10, 2026<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post224014&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 224014<br /> |title = Re: Spaceship Discussion Thread<br /> |author = Matthias Merzenich<br /> |date = January 14, 2026<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175364 2026-09-17T23:12:48Z

<p>Sokwe: Corrected outdated information</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''September 14''': [[ENDW]]’s [https://conwaylife.com/forums/viewtopic.php?p=235116#p235116 first forum post] contains an implementation of [[Goldtiger997]]'s [https://conwaylife.com/forums/viewtopic.php?p=207398#p207398 proposed] [[omniship]] design with velocity (16,9)c/60 and period 600000000. This design allows the construction of spaceships for all non-orthogonal velocities strictly below the spaceship [[speed limit]].<br /> * '''September 11''': [[russellsprouts]] [https://conwaylife.com/forums/viewtopic.php?p=234959#p234959 constructs] the first [[Langton's Ant]] emulator in Life not based on the [[0E0P metacell]].<br /> * '''September 11''': [[I6_I6]] [https://conwaylife.com/forums/viewtopic.php?p=234958#p234958 constructs] the first [[self-synthesizing]] [[reflectorless rotating oscillator]] in Life; [[Goldtiger997]]'s [https://conwaylife.com/wiki/Reflectorless_rotating_oscillator#Engineered_RROs previous design] was not truly self-synthesizing.<br /> * '''September 10-11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=234911#p234911 constructs] the first c/6 diagonal puffer, using a reaction by [[Hunter]]. [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=234923#p234923 constructs] some smaller examples the next day. While c/6 diagonal puffers based on the [[Speed Demonoid]] design are possible, none have yet been constructed, and any such puffer would be much larger.<br /> * '''August 14''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=233142#p233142 posts] 'stentor', a more efficient redesign of a [[(23,5)c/79]] spaceship distinct from the [[waterbear]]; in Real Life, a stentor is a trumpet-shaped protozoan on the same order of size as a tardigrade.<br /> * '''August 7''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=232642#p232642 proves] that there are no period-2 spaceships that are [[polyomino]]es.<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews/editcopy&diff=175363 2026-09-17T22:51:28Z

<p>Sokwe: Moved omniship news item to current news</p> <hr /> <div>[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Notes for non-administrators:<br /> Add current news items here. Someone with access to protected pages will transfer them to the [[Template:CurrentNews]] page.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details}<br /> <br /> Example:<br /> * '''April 20''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=144490#p144490 finds] a new [[period-114 glider gun]] engine using two [[pi-heptomino]]es and four period-6 [[sparker]]s. <br /> <br /> --&gt;<br /> The OCA CurrentNews news item submissions page can be found at [[Template:OCACurrentNews/editcopy]]; it follows the same style guide as this template.<br /> ----<br /> &lt;!-- Add everything below this comment --&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175362 2026-09-17T22:51:23Z

<p>Sokwe: Moved omniship news item from editcopy</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''September 14''': [[ENDW]]’s [https://conwaylife.com/forums/viewtopic.php?p=235116#p235116 first forum post] contains an implementation of [[Goldtiger997]]'s [https://conwaylife.com/forums/viewtopic.php?p=207398#p207398 proposed] [[omniship]] design with velocity (16,9)c/60 and period 600000000. [https://conwaylife.com/forums/viewtopic.php?p=235121#p235121 Some question remains] as to whether all nonorthogonal, sub-[[speed limit]] spaceship velocities can be achieved with this design.<br /> * '''September 11''': [[russellsprouts]] [https://conwaylife.com/forums/viewtopic.php?p=234959#p234959 constructs] the first [[Langton's Ant]] emulator in Life not based on the [[0E0P metacell]].<br /> * '''September 11''': [[I6_I6]] [https://conwaylife.com/forums/viewtopic.php?p=234958#p234958 constructs] the first [[self-synthesizing]] [[reflectorless rotating oscillator]] in Life; [[Goldtiger997]]'s [https://conwaylife.com/wiki/Reflectorless_rotating_oscillator#Engineered_RROs previous design] was not truly self-synthesizing.<br /> * '''September 10-11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=234911#p234911 constructs] the first c/6 diagonal puffer, using a reaction by [[Hunter]]. [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=234923#p234923 constructs] some smaller examples the next day. While c/6 diagonal puffers based on the [[Speed Demonoid]] design are possible, none have yet been constructed, and any such puffer would be much larger.<br /> * '''August 14''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=233142#p233142 posts] 'stentor', a more efficient redesign of a [[(23,5)c/79]] spaceship distinct from the [[waterbear]]; in Real Life, a stentor is a trumpet-shaped protozoan on the same order of size as a tardigrade.<br /> * '''August 7''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=232642#p232642 proves] that there are no period-2 spaceships that are [[polyomino]]es.<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175330 2026-09-13T02:42:35Z

<p>Sokwe: Moved late June and July news to archive</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''September 11''': [[russellsprouts]] [https://conwaylife.com/forums/viewtopic.php?p=234959#p234959 constructs] the first [[Langton's Ant]] emulator in Life not based on the [[0E0P metacell]].<br /> * '''September 11''': [[I6_I6]] [https://conwaylife.com/forums/viewtopic.php?p=234958#p234958 constructs] the first [[self-synthesizing]] [[reflectorless rotating oscillator]] in Life; [[Goldtiger997]]'s [https://conwaylife.com/wiki/Reflectorless_rotating_oscillator#Engineered_RROs previous design] was not truly self-synthesizing.<br /> * '''September 10-11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=234911#p234911 constructs] the first c/6 diagonal puffer, using a reaction by [[Hunter]]. [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=234923#p234923 constructs] some smaller examples the next day. While c/6 diagonal puffers based on the [[Speed Demonoid]] design are possible, none have yet been constructed, and any such puffer would be much larger.<br /> * '''August 14''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=233142#p233142 posts] 'stentor', a more efficient redesign of a [[(23,5)c/79]] spaceship distinct from the [[waterbear]]; in Real Life, a stentor is a trumpet-shaped protozoan on the same order of size as a tardigrade.<br /> * '''August 7''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=232642#p232642 proves] that there are no period-2 spaceships that are [[polyomino]]es.<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:News_archive&diff=175329 2026-09-13T02:42:28Z

<p>Sokwe: Moved late June and July news to archive</p> <hr /> <div>The following is a list of past news items that ran on the [[Main Page]].<br /> <br /> ==Current news==<br /> The [[Template:CurrentNews|following news items]] are currently live on the [[Main Page]]:<br /> {{CurrentNews|nolinks=true}}<br /> ==2026==<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> * '''June 12''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=229719#p229719 solves] another frontier synthesis problem, [[37P3H1V0.1]], by creating a component that can add an extension onto [[25P3H1V0.1]]; only three known 37-bit spaceships ([[37P3H1V0.2]], [[37P4H1V0]], and [https://catagolue.hatsya.com/object/xq4_sighgay0ggzxgg4kiu933azw745d/b3s23 xq4_sighgay0ggzxgg4kiu933azw745d]) are now without known syntheses.<br /> * '''June 8''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=229583#p229583 assembles] a construction recipe for a [[cottonmouth]] with 118 gliders, soon reduced to 116 gliders by [[Chris857]].<br /> * '''June 1-2''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=229315#p229315 completes] the critical final-stage synthesis of a [[lobster]] spaceship via an almost completely diagonally symmetric collision between 39 gliders and a 175-bit [[still life]] [[constellation]]; a collaborative effort produces a 186-glider construction recipe the same day, reduced to 118 gliders over the next two days.<br /> * '''May 23''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=228999#p228999 uses LightCone] to find a new [[Spartan]] glider-to-R-pentomino [[converter]] starting with a glider-activated pi explosion, with repeat time 187.<br /> * '''May 17''': [[lumi]] [https://conwaylife.com/forums/viewtopic.php?p=228795#p228795 builds] a maximally Golly-friendly [[self-synchronized linear replicator]], speed 256c/1048576, bounding box {{times|65676|65520}}, minimum population 16702; each new child copy is precisely in sync with the parent.<br /> * '''May 15''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=228702#p228702 discovers] a new record smallest p116 oscillator that hassles the object seen in [[Karel's p177]].<br /> * '''May 14''': [[hibiscus]] [https://conwaylife.com/forums/viewtopic.php?p=228687#p228687 posts] a 208-glider [[synthesis]] of the smallest known [[solifuge]] spaceship variant, minimum population 1414.<br /> * '''May 11-12''': [[Dmitry Maitak]] [https://conwaylife.com/forums/viewtopic.php?p=228569#p228569 reduces] the [[Orion 2]] synthesis from 54 gliders to 31 gliders. Based on this, [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=228592#p228592 completes] the first synthesis of [[Orion]] in 67 gliders, which is subsequently [https://conwaylife.com/forums/viewtopic.php?p=228612#p228612 reduced] by [[vilc]] and [[KtT]] to 55 gliders.<br /> * '''May 8''': [[lumi]] completes [https://conwaylife.com/forums/viewtopic.php?p=228460#p228460 another large reduction] in linear propagator design, from February's 83K-cell design down to only 12372 cells, building on recent universal-constructor optimization work by [[russellsprouts]] and [[inductivetype]].<br /> * '''May 8''': [[vilc]] uses [https://conwaylife.com/forums/viewtopic.php?p=228452#p228452 98 gliders] to synthesize [[36P3H1V0.2]], which had been one of the four smallest spaceships with no known glider synthesis.<br /> * '''May 7''': [[Entity Valkyrie 2]] completes a [https://conwaylife.com/forums/viewtopic.php?p=228444#p228444 new series of 90-degree periodic reflectors] using an [[octomino II]]-to-glider [[converter]] found by [[Anivec]] and pointed out by [[Timelord Missionary]].<br /> * '''April 30''' [[Anivec]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1849&amp;p=228477#p228230 finds] a new stable G-to-X -- a [[glider]] to [[R-pentomino]] [[converter]] with a [[repeat time]] of 194 ticks.<br /> * '''April 25''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=6258&amp;p=228088#p228078 constructs] the first [[oblique]] [[sawtooth spaceship]].<br /> * '''April 24''': [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=228048#p228048 posts] the first in a series of [[Demonoid]] spaceships with four-digit populations, radically smaller than any previous design, due to the hyper-optimized Snarkmaker and further contributions by [[russellsprouts]]; a major improvement is a [[Oncoming glider gun construction arm|completely new mechanism]] for a much more efficient [[construction arm]] than the standard [[single-channel]] design, using a temporary [[Simkin glider gun]] to produce slow salvos with less than three input gliders per output glider on average.<br /> * '''April 9''': [[russellsprouts]] [https://conwaylife.com/forums/viewtopic.php?p=227620#p227620 publishes] a hyper-optimized [[single-channel]] [[Snarkmaker]] recipe consisting of just 266 gliders -- nearly an order of magnitude improvement over the previous standard 2428-glider recipe that has been used in many [[self-constructing]] patterns.<br /> * '''March 31''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=227310#p227310 builds] a fifth [[unidimensional spaceship]] with a ten-digit simplified velocity; previous editions all had eleven-digit simplified velocities.<br /> * '''March 17''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=226884#p226884 uses slmake] to assemble two [[self-constructing]] [[oblique spaceship]]s, an ibisship and a flamingoship, with [[single-channel]] construction recipes and a much simpler design than the original [[Gemini]] ibisship; the flamingoship is the first ship constructed in Conway's Life with a (6m,m) offset.<br /> * '''February 22''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=225881#p225881 constructs] a gun for [[25P3H1V0.1]] using a sparker-assisted synthesis requiring only 12 gliders.<br /> * '''February 21''': [[siffrin normal]] [https://conwaylife.com/forums/viewtopic.php?p=225892#p225892 discovers] a new smallest period-103 oscillator, [[Siffrin's p103]], in a [[D4_x4]]-symmetric soup. With a minimum population of 68 cells, this is over 100 cells smaller than the [https://catagolue.hatsya.com/object/xp103_yzyzyv33y58e1e88gzyzyzyzy3330311ybckzyzyzyz03224e6y725acy165lozyzyzylgs2552ypggzyzyzyxo8a6yf11zyzyzyma64y8742zzzzzyzyz4kcy86c2zzzzzyzy9gcoy8ca8zzzzzymg8oy88okzyo1ok46zy433ypg88ge2z6a8oy1ck8gy7os8gggy611z0bdy41y4g0ggy11zyd255t0t5y5ggzyh1y711/b3s23 previous record holder]. It is also the first known engine-based oscillator of this period, as well as the first to occur [[seminatural]]ly.<br /> * '''February 20''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=225769#p225769 discovers] a pre-pulsar-to-Herschel converter that can be combined with an older pulsar [[factory]] by [[Luke Kiernan]] to create a new Herschel conduit, R338. [[Jormungant]] subsequently [https://conwaylife.com/forums/viewtopic.php?p=225790#p225790 finds] a way to remove an awkward outbound glider by colliding it with the [[first natural block]] of the output Herschel, allowing many more connections to this conduit than would otherwise be possible.<br /> * '''February 19''': [[PK22]] [https://conwaylife.com/forums/viewtopic.php?p=225700#p225700 monomerizes] a [[T-nose]]d period-9 sparker found by [[siffrin normal]] on February 11. [[iNoMed]] subsequently [https://conwaylife.com/forums/viewtopic.php?p=225703#p225703 reduces] the size of the period-27 glider gun using this new sparker.<br /> * '''February 16''': [[lumi]] [https://conwaylife.com/forums/viewtopic.php?p=225566#p225566 designs and assembles] a working [[single-channel]] [[linear propagator]], with a bounding box less than 1/17th of the size (in each dimension) of the original 2013 linear propagator, with population somewhat lower also -- 83477 cells in many of the phases.<br /> * '''February 9''': [[Evin]] [https://conwaylife.com/forums/viewtopic.php?p=225211#p225211 posts] two versions of a record-breaking &quot;[[SlowSilver Demonoid]]&quot;, considerably smaller in bounding box and population than the previous smallest Demonoid, the [[0hd Demonoid]]; [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=225193#p225193 produces] a version of the first SlowSilver Demonoid with a reduced bounding box.<br /> * '''January 30''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=224802#p224802 produces] a smaller unidimensional spaceship with a 776,525,415-cell bounding box, and a slightly higher velocity of 2c/27735693820; the previous version had length 795,435,669 and speed 2c/28409785756. [[I6_I6]] posted a 3,980,418-glider synthesis [https://conwaylife.com/forums/viewtopic.php?p=224804#p224804 the same day].<br /> * '''January 18-24''': [[David Bell]] uses the new period-10 spaceship to construct [https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 the first period-10 c/2 rake] and [https://conwaylife.com/forums/viewtopic.php?p=224234#p224234 multiple] [https://conwaylife.com/forums/viewtopic.php?p=224390#p224390 families] of puffers, completing the collection of c/2 puffers with every possible multiple-of-10 period.<br /> * '''January 18''': [[I6_I6]] [https://conwaylife.com/forums/viewtopic.php?p=224181#p224181 constructs] a gun for [[70P2H1V0.1]]. This is the first gun that fires a period-2 spaceship.<br /> * ''' January 13-14''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=223977#p223977 discovers] a new period-10 c/2 spaceship with a significant side spark. [[Hartmut Holzwart]] subsequently finds [https://conwaylife.com/forums/viewtopic.php?p=223993#p223993 low population] and [https://conwaylife.com/forums/viewtopic.php?p=224036#p224036 high-clearance] variants.<br /> * '''January 11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=223859#p223859 constructs] [[silk moth]], a (15,11)c/107 caterpillar-type spaceship using a reaction in which an [[I-heptomino]] non-destructively crawls along a glider wave while emitting an extra glider and leaving behind a block.<br /> * '''January 10''': [[Anivec]] [https://conwaylife.com/forums/viewtopic.php?p=223840#p223840 discovers] a new H-to-R [[conduit]], HL150R, with a repeat time of 108 ticks.<br /> * '''January 4''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=223596#p223596 constructs] a [[Unidimensional spaceship 2|significantly reduced unidimensional spaceship]] that is over 4 times smaller and 4 times faster than the original.<br /> * '''January 1''': The [[much smaller (34,7)c/156 spaceship]] wins the 2024 [[Pattern of the Year]] competition.<br /> <br /> ==2025==<br /> * '''December 27''': A five-month-long collaboration concludes when [[vilc]] successfully [https://conwaylife.com/forums/viewtopic.php?p=223246#p223246 synthesizes] the final 23-bit [[still life]] for which no glider synthesis was known; a recipe is now available for all 1,646,147 [[strict still life]]s with 23 bits.<br /> * '''December 23''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=223059#p223059 assembles] [[giraffe weevil]], a [[self-supporting]] (28,7)c/448 [[giraffeship]], using a spine made of xWSS convoys that are arranged to release a glider whenever they encounter a block, while moving the block by (7,-28); this mechanism supports limited [[slow salvo]] construction equivalent to the arrangements of loaves in a [[Caterloopillar]], but allows for oblique rather than orthogonal travel.<br /> * '''December 20-21''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=222948#p222948 builds] two [https://conwaylife.com/forums/viewtopic.php?p=223006#p223006 &quot;fleet puller&quot;] [[growing spaceship]]s, where the tail end pulls a [[fleet]] along with it two diagonal steps at a time, if the fleet is present; otherwise a blinker is alternately created and destroyed.<br /> * '''December 19''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 constructs] a very compact [[traffic jam]] signal injector based on the [[syringe]], with the same low [[repeat time]] (78 ticks, overclockable to 74 ticks but not 75 since traffic jam wicks are period 2).<br /> * '''December 17-19''': [[qqd]] [https://conwaylife.com/forums/viewtopic.php?p=222856#p222856 creates] a stable [[Heisenburp]] device with a repeat time of 837 ticks that can detect passing [[solifuge]] spaceships -- or [[waterbear]]s or other oblique spaceships that use the same technology to turn LWSS streams 90 degrees at a corner. ElijahKen subsequently [https://conwaylife.com/forums/viewtopic.php?p=222920#p222920 reduces] the [[repeat time]] to 597 ticks.<br /> * '''December 14-21''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=222700#p222700 discovers] a &quot;wave minstrel&quot;, a [[(2,1)c/6]] [[tagalong]] for [[Sir Robin]] that supports a connection to [[knightwave]] -- followed a week later by [https://conwaylife.com/forums/viewtopic.php?p=222977#p222977 another] completely new [[minstrel]]; these are the first new minstrel tagalongs since the [[baby minstrel]] appeared in {{year|2023}}. Both of them are tagalongs to the wandering minstrel, with initial sections that are different from each other and also from the connecting minstrel.<br /> * '''December 10''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=222522#p222522 builds] a [[stable]] MWSS-to-HWSS [[hammer]] (a device made only from stable circuitry that converts an MWSS directly into an HWSS) in response to a construction challenge.<br /> * '''December 10''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 builds] an &quot;exponentially spaced binary counter&quot; in response to a construction challenge.<br /> * '''December 9''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=222483#p222483 constructs] a gun for a [[solifuge]] variant based on glider syntheses by [[hibiscus]], [[iNoMed]], and Goldtiger997. This is by far the smallest known gun for an [[oblique spaceship]].<br /> * '''December 2-7''': [[Nora Brown]] constructs &quot;[[solifuge]]&quot; camelships with greatly reduced [https://conwaylife.com/forums/viewtopic.php?p=222287#p222287 bounding box] (with [https://conwaylife.com/forums/viewtopic.php?p=222342#p222342 slight additional reduction] by [[Elijah Ken]]) and [https://conwaylife.com/forums/viewtopic.php?p=222422#p222422 population] using improved (12,4)c/62 technology; the new designs fit inside a minimal bounding box of {{times|315|287}} and have a minimum population of 1415 respectively.<br /> * '''December 2''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=222136#p222136 completes] a [[Unidimensional spaceship 1|unidimensional spaceship]] with a speed of 2c/133076755768 and a bounding box of {{times|1|3707300605}} based on preliminary work by many other contributors.<br /> * '''December 1''': [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=7111 voting begins] for the [[Pattern of the Year]] 2024 competition. Users have until the end of December to cast their votes.<br /> * '''November 30''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=222000#p222000 constructs] a complete [[self-supporting]] [[Solifuge|(12,4)c/62 spaceship]], named &quot;solifuge&quot;, based on an oblique [[crawler]] made up of four copies of a versatile [[LOM]]-based reaction; the spaceship is a tiny fraction of the size of previously known [[camelship]]s.<br /> * '''November 29''': [[branoc]] [https://conwaylife.com/forums/viewtopic.php?p=221972#p221972 builds] a new &quot;B2D&quot; unit -- a two-dimensional memory storage mechanism used by [[APGsembly]]-based calculators -- using components from [https://conwaylife.com/forums/viewtopic.php?p=214963#p214963 enofet's design] and [https://conwaylife.com/forums/viewtopic.php?p=214883#p214883 EvinZL's boat reactions].<br /> * '''November 28''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 completes] the first-ever signal loop containing a segment of 5c/9 wire, combining previous discoveries by [[Extrementhusiast]], [[Simon Ekström]], and [[Entity Valkyrie]].<br /> * '''November 24''': [[PK22]] [https://conwaylife.com/forums/viewtopic.php?p=221791#p221791 updates] the original [[Thessalonic Demonoid]] to be fully Thessalonic (circuitry entirely made from eaters and blocks, with no temporary Snarks at any stage).<br /> * '''November 18''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=221591#p221591 discovers] a period-14 [[pipsquirter]] using a [[drifter]] reaction by [[Adam P. Goucher]].<br /> * '''November 1-11''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=220821#p220821 confirms] that [[70P5H2V0]] is the only strict, symmetric, even-width, period-5 2c/5 orthogonal spaceship up to 70 cells, simultaneously showing that [[30P5H2V0]] and [[34P5H2V0]] are the only period-5 2c/5 orthogonal spaceships up to 35 cells. Amling later [https://conwaylife.com/forums/viewtopic.php?p=221244#p221244 extends] these results to show that there are exactly three symmetric, even-width, period-5 2c/5 spaceships up to 74 cells and no additional period-5 2c/5 spaceships up to 37 cells.<br /> * '''November 5''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=221123#p221123 discovers] [[Hilton's p66]] via D8_1-symmetric [[apgsearch]]. This is the first period-66 oscillator to occur [[seminatural]]ly<br /> * '''November 3''': [[qqd]] [https://conwaylife.com/forums/viewtopic.php?p=220926#p220926 finds] a direct conversion mechanism using only stable [[catalyst]]s, with a [[glider]] input and [[traffic jam]] output.<br /> * '''October 27''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=220431#p220431 confirms] that [[mazing]] and [[mold]] are the only period-4 oscillators up to 17 cells.<br /> * '''October 26''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=220366#p220366 discovers] a period-2 Rx130 [[Herschel conduit]] using only catalysts more [[Most_common_objects_on_Catagolue|common]] than [[eater 1]] and constructs a common-catalyst Herschel loop using this new conduit along with [[R64]], [[sidesnagger]], and a boat-and-toad glider eater.<br /> * '''October 26''': The [[Golly Gang]] [https://conwaylife.com/forums/viewtopic.php?p=220354#p220354 releases] Golly 5.0.<br /> * '''October 22-26''': [[Mitchell Riley]] [https://gitlab.com/mvr2/apgmera/-/commit/a6b0dff94cd8fe786ebf859cb742e5d2b6a2a35b implements] the remaining GPU symmetries for [[apgsearch]] (fourfold rotational and all reflectional types with diagonal lines of symmetry). Using this, [[siffrin normal]] [https://conwaylife.com/forums/viewtopic.php?p=220358#p220358 discovers] new oscillators of periods 7 and 8.<br /> * '''October 23''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=220160#p220160 substantially improves] a heuristic originally developed by [[Mitchell Riley]] for quickly identifying [[ash]] patterns containing objects from a desired list without triggering false positives from common objects.<br /> * '''October 20''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=220019#p220019 completes] a period-3 [[bouncer]] based on a partial result by [[James Pascua]]. This is the first fast period-3 [[colour-changing]] reflector to be found.<br /> * '''October 18''': [[PK22]] [https://conwaylife.com/forums/viewtopic.php?p=219897#p219897 completes] a [[Thessalonic Demonoid]], the first self-constructing spaceship with permanent circuitry that consists only of eaters and blocks.<br /> * '''October 17''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=219840#p219840 discovers] a small period-4 HWSS-to-B-heptomino converter and uses this to construct a compact period-8 HWSS reflector.<br /> * '''October 5-13''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=219697#p219697 confirms] that the [[glider]], [[crab]], and [[wings]] are the only period-4 c/4 diagonal spaceships up to 27 cells.<br /> * '''October 9''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=219505#p219505 discovers] a 6-glider [[glider synthesis|synthesis]] for [[fuse with two long tails]], proving that every 12-bit still life can be synthesised with 6 or fewer gliders.<br /> * '''October 4''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=219224#p219224 confirms] that [[pseudo-barberpole]] is the only period-5 oscillator up to 15 cells.<br /> * '''October 4''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=219193#p219193 builds] a [[sawtooth]] pattern with a new front-end speed, [[c/8 diagonal]], based on two streams of gliders from c/12 forward rakes repeatedly catching up to a [[walrus]].<br /> * '''September 23-October 4''': [[PK22]] [https://conwaylife.com/forums/viewtopic.php?p=218791#p218791 constructs] [[gliderless]] guns for [[LWSS on HWSS 3]], [[MWSS on MWSS 1]], [[Coe ship]], [[loafer]], and [[2-engine Cordership]]. These are the first known gliderless guns for non-[[standard spaceship|standard]] spaceships.<br /> * '''September 26''': [[Luka Okanishi]] [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 builds] a [[splitter]] for a specific triplet of gliders with a [[repeat time]] of 57, one tick smaller than the record set by Entity Valkyrie on September 7.<br /> * '''September 21''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=218322#p218322 produces] the first known gliderless [[sawtooth]] pattern, involving streams of [[LWSS]] pairs chasing a [[turtle]].<br /> * '''September 2-15''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=217959#p217959 further reduces] the [[Leaf_bug_2#Gun|leaf bug]] gun to a bounding box of {{times|82,038|71,679}}, which is more than an order of magnitude reduction in each dimension relative to the original design.<br /> * '''September 10''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=217747#p217747 discovers] SW28T249, a new and surprisingly simple [[Spartan]] Herschel-to-glider [[converter]] with a [[repeat time]] of 249 ticks.<br /> * '''September 7''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 constructs] a stable duplicator for the LWSS-on-LWSS [[pseudo]]-spaceship with a repeat time of 58 ticks. This is now the lowest known repeat time for a stable duplicator of a moving object or pseudo-object, being 3 ticks lower than [[speed tunnel]]-based glider duplicators.<br /> * '''August 29''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=216920#p216920 reduces] the [[leaf bug 2#Gun|leaf bug gun]] from a bounding box of {{times|1,097,252|829,150}} to a bounding box of {{times|124,834|117,922}}.<br /> * '''August 18-22''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=7031 starts a new thread] to track the remaining unsynthesized 23-bit strict still lifes. Progress is being made with a mix of approaches (e.g., new custom components to convert an already synthesized still life to one of the target forms, and also adaptations of soup-search results). An early list of 591 unsolved still lifes was reduced to below 450 as of August 22, and to 222 by September 10.<br /> * '''August 14''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=216063#p216063 constructs] a gun for a variant of [[leaf bug 2]]. This is the first gun to fire a 31c/240 orthogonal spaceship.<br /> * '''August 10''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=215877#p215877 discovers] three closely related 2c/7 orthogonal spaceships, two of them bilaterally symmetric, based on a front end by [[shuich01]]. In terms of their {{times|23|28}} bounding box, they are tied as the third smallest known 2c/7 spaceships, after [[weekender]] and [[doo-dah]].<br /> * '''August 5''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 further reduces] the repeat time of the [[2c/3 wire|2c/3]] receiver to 504 ticks.<br /> * '''August 1-2''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=215428#p215428 reduces] the repeat time of the [[2c/3 wire|2c/3]] receiver to 629 ticks using a new emitter which releases a glider and a [[Herschel]]; [https://conwaylife.com/forums/viewtopic.php?p=215500#p215500 the next day], [[Entity Valkyrie 2]] improves the repeat time to 570.<br /> * '''July 26''': [[Dmitry Maitak]] and [[Chris857]] [https://conwaylife.com/forums/viewtopic.php?p=215098#p215098 complete] a synthesis of a 15WSS supported by [[pushalong 1]]. This is the longest [[overweight spaceship]] flotilla synthesized so far.<br /> * '''July 24''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=215056#p215056 completes] a proof that all [[overweight spaceship]] flotillas consisting of a single overweight spaceship supported on each side by a single [[standard spaceship]] can be synthesised. This proof relies on earlier work by [[Mark Niemiec]], [[David Buckingham]], [[Dieter Leithner]], [[Martin Grant]], and [[Evin]].<br /> * '''July 23-25''': [[Goldtiger997]] and [[KtT]] [https://conwaylife.com/forums/viewtopic.php?p=215037#p215037 complete] a synthesis for [[35P4H1V1]] in 41 gliders. This was the last known unsynthesised spaceship up to 35 bits, and [https://conwaylife.com/forums/viewtopic.php?p=215062#p215062 leaves] 8 known ships up to 37 bits that are currently unsynthesised.<br /> * '''July 20''': [[Goldtiger997]] and [[KtT]] [https://conwaylife.com/forums/viewtopic.php?p=214835#p214835 complete] a synthesis for the previously unbuildable [[37P4H1V1.2]], in 49 gliders.<br /> * '''July 19''': [[enofet]] [https://conwaylife.com/forums/viewtopic.php?p=199849#p199849 posts] a revised 2D memory storage device, capable of being plugged in to calculator mechanisms in place of the much larger and slower 'SQ' unit in [[Osqrtlogt]], which was constructed with 2010-era technology (no [[syringe]]s and no [[Snarks]]).<br /> * '''July 17''': New contributor [[enofet]] [https://conwaylife.com/forums/viewtopic.php?p=214731#p214731 completes] a period-67108864 (2&lt;sup&gt;26&lt;/sup&gt;) gun for c/11 Speed Demonoids -- definitely the first gun created for a c/11 spaceship!<br /> * '''July 14''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=214543#p214543 completes] a 139-glider synthesis for a 42-cell [[c/3]] spaceship, [[42P3H1V0]]; this is the first new c/3 spaceship synthesized since 2022.<br /> * '''July 12''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=214481#p214481 constructs] the final step of a [[glider synthesis|synthesis]] for [[34P5H2V0]], and [[vilc]] subsequently [https://conwaylife.com/forums/viewtopic.php?p=214483#p214483 completes] the synthesis in 52 gliders (since reduced to 40 gliders). With a minimum population of 34 cells, 34P5H2V0 was the smallest known spaceship without a known glider synthesis. This leaves [[35P4H1V1]] and a [https://conwaylife.com/forums/viewtopic.php?p=202880#p202880 handful] of [[overweight spaceship]] [[flotilla]]s as the current smallest known unsynthesised spaceships.<br /> * '''July 10''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=214373#p214373 discovers] a new elementary Herschel conduit, the third conduit with an &quot;F150&quot; rating; it has a [[repeat time]] of 136, due to using the Herschel's first natural block for cleanup rather than suppressing it.<br /> * '''July 9''': [[David Bell]] uses a [https://conwaylife.com/forums/viewtopic.php?p=214345#p214345 new backward Cordership rake] to [https://conwaylife.com/forums/viewtopic.php?p=214346#p214346 improve the minpop record] for a [[moving sawtooth]] from 540 cells to 374.<br /> * '''July 3-11''': [[Dmitry Maitak]] and [[Chris857]] [https://conwaylife.com/forums/viewtopic.php?p=214066#p214066 reduce] [https://conwaylife.com/forums/viewtopic.php?p=214120#p214120 four] [https://conwaylife.com/forums/viewtopic.php?p=214423#p214423 remaining] 13-glider syntheses to prove that all 16-bit still lifes can be synthesised with 12 or fewer gliders.<br /> * '''June 21''': [[Gustone]] makes adjustments to [[leaf bug 2]] to set separate new records in population ({{times|13179|6698}} at 24757 cells) and bounding box ({{times|12927|6576}} at 24814 cells); a further adjustment improves on both of those records, reaching {{times|12415|6315}} with population 24460. <br /> * '''June 7-14''': A further set of design improvements allows [[Gustone]] to [https://conwaylife.com/forums/viewtopic.php?p=213261#p213261 complete] the [[leaf bug 2]], a record-breaking small macro-spaceship by any metric -- smaller than the [[0hd Demonoid]] in population (26571 vs. 27250) and smaller than the [[water strider]] in bounding box ({{times|13339|7107}} vs. {{times|14023|7309}}).<br /> * '''June 1''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=212696#p212696 constructs] an adjustable-period [[Cordership]]-based puffer with a new record minimum population of 249 cells.<br /> * '''May 28-29''': [[shuich01]] [https://conwaylife.com/forums/viewtopic.php?p=212476#p212476 discovers] the first width-25 [[gutter]]-symmetric 2c/7 spaceship. This is the minimum possible width for a period-7 2c/7 ship with this symmetry type. [[iNoMed]] subsequently combines a component from this ship with older 2c/7 components to [https://conwaylife.com/forums/viewtopic.php?p=212506#p212506 construct] an asymmetric ship which, in terms of its minimum population of 123 cells, is the smallest known 2c/7 ship that does not involve a [[weekender]].<br /> * '''May 21''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=212197#p212197 discovers] [[Blackjack]], a 40-celled 'almost-glide-symmetric' p21 oscillator whose two parts shift a block diagonally in opposite directions with uneven phase shifts, similar to [[David Hilbert]].<br /> * '''May 18''': [[b3s23love]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1452&amp;p=212110#p212110 creates] a {{times|13|13}} &quot;artificial soup&quot; producing a [[2-engine Cordership]] together with debris; the previous predecessor with the smallest bounding box was {{times|14|14}}.<br /> * '''May 15-17''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=6258&amp;p=211965#p211965 modifies] [[sawtooth 195]] (the smallest known sawtooth by bounding box at {{times|62|56}}) to start at {{times|57|55}}. Entity Valkyrie, David Bell and EvinZL reduce this to a [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=6258&amp;p=212057#p212057 final bounding box] of {{times|48|50}}.<br /> * '''May 14''': [[Mitchell Riley]] uses a different hack to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3267&amp;p=211900#p211900 find] 1558 new 2-glider still life conversion components, and 14608 3-glider components; upon running the transfer.py script, this is expected to reduce a significant number of syntheses.<br /> * '''May 11''': [[Mitchell Riley]] uses a hacked [[QuFince]] fork to discover [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3267&amp;p=211748#p211748 reductions to various syntheses], most notably {{LinkCatagolue|xp2_g8og806hbqicz122643|name=paperclip quad|style=raw}} 10G-&gt;8G, [[Cyclic]] 9G-&gt;8G, [[cha cha]] 12G-&gt;10G, {{LinkCatagolue|xp2_gs2ib8bi2sgz2egjk4kjge2zy0101|name=scrubber with four covers|style=raw}} 23G-&gt;16G, and {{LinkCatagolue|xp2_084ob8q4ggz114b2q342|name=square on four griddles|style=raw}} 28G-&gt;20G.<br /> * '''March 9 - May 16''': Nick Poyntz ({{LinkCatagolue|xs52_br0raar0rbzqr0raar0rq|name=in Catagolue comments|style=raw}}) finds a 50-glider synthesis for quadruple eater 2 (a patch of the [[tablecloth]]), which DroneBetter, PK22 and KtT successively reduce to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3267&amp;p=212010#p212010 28 gliders].<br /> * '''April 16''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=210054#p210054 reduces] a previous population-624 moving sawtooth to produce a variant with a repeating minimum population of 584.<br /> * '''April 12''': [[Shuich01]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=209777#p209777 discover] a small [[lobster]] tagalong. This gives the first new period-7 c/7 diagonal spaceship since 2011.<br /> * '''April 6-7''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=209381#p209381 constructs] a [[sawtooth]] with a new record minimum repeating population of 168 cells.<br /> * '''April 3''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=209209#p209209 sets another new record] for the smallest known unsynthesizable still life, now down from 162 cells to 154 cells, with a [[Unique_father_problem#Reductions|self-forcing patch]] containing 251 cells instead of 272 cells.<br /> * '''April 1''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=209042#p209042 constructs] a &quot;corner [[highway robber]]&quot;, a new design where gliders coming from two possible perpendicular directions are detected by the same bait beehive.<br /> * '''April 1''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=208915#p208915 constructs] the first 2c/5 orthogonal [[Greyship#Types_of_greyships|against-the-grain greyship]]. Although this greyship uses patches of with-the-grain stripes, it differs from the hybrid greyship in that all with-the-grain patches have a bounded size, while the against-the-grain patch can be made arbitrarily large.<br /> * '''March 26''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=208144#p208144 discovers] the first [[gun#True-period_guns|true]] period-18 glider gun, based on a partial result by [[Period1GliderGun]]<br /> * '''March 22''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=207651#p207651 discovers] the first period-14 [[independent reflector]], based on a partial result by [[James Pascua]] and [[Matthias Merzenich]].<br /> * '''March 21''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=207549#p207549 discovers] the first period-15 [[independent reflector]], based on a partial result by [[James Pascua]].<br /> * '''March 16''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=207054#p207054 discovers] the first [[gun#True-period_guns|true]] period-14 glider gun. This is the smallest possible gun period.<br /> * '''March 11''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=206535#p206535 constructs] a hybrid 2c/5 [[greyship]]. This is the first 2c/5 greyship with an extensible [[against-the-grain]] section.<br /> * '''March 4''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=205815#p205815 discovers] a [[period-47 glider gun]] based on a partial result by [[Caleb R. Hilton]] that is 85% smaller than the previous record holder.<br /> * '''February 23''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=205012#p205012 reduces] the bounding box of the [[period-35 glider gun]] significantly, using [[LLS]] to find smaller component p5 and p7 sparkers.<br /> * '''February 20''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=204578#p204578 discovers] a record-breaking small [[period-60 glider gun]] which, after being combined with a p8 [[filter]] and [https://conwaylife.com/forums/viewtopic.php?p=204593#p204593 reduced] by [[iNoMed]] and [[hotcrystal0]], gives a [[true period]] p120 glider gun that is smaller than the true-period single-barreled [[Simkin glider gun]].<br /> * '''February 17''': [[Chris Rowett]]'s [[LifeViewer]] [https://conwaylife.com/forums/viewtopic.php?p=204244#p204244 celebrates] its ten-year anniversary.<br /> * '''February 11-20''': Manual and semi-manual searches, as well as search programs like Mitchell Riley's [[LightCone]], continue to turn up new [[Spartan]] conduits such as [https://conwaylife.com/forums/viewtopic.php?p=203970#p203970 HL226B], [https://conwaylife.com/forums/viewtopic.php?p=203694#p203694 HF78B], and [https://conwaylife.com/forums/viewtopic.php?p=204585#p204585 HLx86B]; some of these are fairly compact and potentially useful in [[self-constructing]] circuitry, since they fill long-standing holes in toolkits used for adjusting timing parity and/or output color.<br /> * '''February 12''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=203792#p203792 discovers] the first 2c/5 orthogonal chicken wire [[greyship]].<br /> * '''February 8''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=203442#p203442 constructs] a record-breaking small period-80 HWSS gun based on a new p80 R-pentomino hassler by [[Caleb R. Hilton]]. This gun has the unusual property of being [[gliderless]].<br /> * '''February 7''': [[Matthias Merzenich]] uses [[Logic Life Search]] to reduce the [[p28 glider gun]], making it the tenth period with a true-period gun smaller than the single-barreled [[Simkin glider gun]].<br /> * '''February 6''': [[Matthias Merzenich]] uses [[Logic Life Search]] to [https://conwaylife.com/forums/viewtopic.php?p=203178#p203178 complete] a single-engine p57 glider gun based on a partial result by [[ElijahKen]]. Subsequent reductions by Merzenich, ElijahKen, [[iNoMed]], and [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=203255#p203255 result] in a single-engine gun that is 45% smaller than the previous 2-engine gun.<br /> * '''February 3''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=203003#p203003 discovers] and [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=203014#p203014 synthesises] a new 32-cell 2c/4 orthogonal spaceship.<br /> * '''February 1''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=202848#p202848 synthesises] LWSS pulling [[Unnamed tagalong 23P4H2V0]]. At 32 cells, this was the smallest known spaceship without a previously known glider synthesis.<br /> * '''January 29-31''': A flurry of activity [https://conwaylife.com/forums/viewtopic.php?p=202752#p202752 produces] a transparent-loaf-themed [[highway robber]] with record-breaking recovery time of 550 ticks, [[overclocking|overclockable]] to 537-544, with a suggested mechanism by [[Tawal]] and contributions by [[Louis-François Handfield]], [[Caleb R. Hilton]], [[confocaloid]], [[EvinZL]], and [[Entity Valkyrie]].<br /> * '''January 31-February 2''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=202694#p202694 invents] a novel mechanism for a new 31c/240 self-supporting spaceship, the [[water strider]]; over the next few days, the bounding box is then gradually reduced by more than half.<br /> * '''January 28''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=202525#p202525 discovers] a 19-glider [[synthesis]] for [[32P4H2V0]]. This leaves LWSS pulling [[Unnamed tagalong 23P4H2V0]] as the only currently known spaceship up to 32 cells without a known glider synthesis.<br /> * '''January 18''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=201924#p201924 discovers] a new record smallest-population unsynthesizable still life, population 162, with 271 specified cells in the self-forcing patch (124 ON, 147 OFF); this exactly ties the previous [https://conwaylife.com/forums/viewtopic.php?p=193510#p193510 271-cell record] for total specified cells.<br /> * '''January 18''': An apgsearch haul by 'ASA-X Supercomputer' contains the [https://conwaylife.com/forums/viewtopic.php?p=201903#p201903 first natural appearance] of [[long^9 snake]] from an asymmetric soup, almost a decade after the first occurrence of [https://catagolue.hatsya.com/object/xs14_31248gzy21248go/b3s23 long^8 snake] which currently has two dozen C1 occurrences.<br /> * '''January 18''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=201885#p201885 uses] a [https://catagolue.hatsya.com/object/xp30_9f9zbrby18sq36z232xgwgzy0rgc77cgr/b3s23 small period-30 sparker] to reduce the areas of the classic [[period-690 glider gun]] and the [https://catagolue.hatsya.com/object/guntrue_360/b3s23 period-360 glider gun] by double-digit percentages.<br /> * '''January 8''': [[Frank Everdij]] [https://conwaylife.com/forums/viewtopic.php?p=201352#p201352 discovers] [[tarantula]], a [[c/5 orthogonal]] [[spaceship]] which, in terms of its minimum population of {{cells|58}} cells, is tied with [[spider]] as the smallest known spaceship of this speed.<br /> <br /> ==2024==<br /> * '''December 31''': [[blah]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=6808 posts a complete package] containing a 32-bit computer implemented in Conway's Life -- the &quot;323&quot; -- along with an assembler script, example programs, extensive HTML documentation and an MP4 introductory video. (!)<br /> * '''December 30-31''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=200626#p200626 constructs] an activation step for a [[synthesis]] of the c/5 orthogonal spaceship [[Kermit]]. [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=200713#p200713 completes] a 343-glider synthesis through a collaborative effort with several other users.<br /> * '''December 27''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=200488#p200488 completes] the [[leaf bug]], a record-breaking new self-supporting 31c/240 spaceship with a smaller population (though larger bounding box) than the previous record-holding self-supporting spaceship (the [[waterbear]]).<br /> * '''December 23''': Rei posts an [[APGsembly]] program that calculates and displays in the Life universe a [https://conwaylife.com/forums/viewtopic.php?p=200299#p200299 plot of the Mandelbrot set].<br /> * '''December 18-23''': [[Tim Coe]] [https://conwaylife.com/forums/viewtopic.php?p=200083#p200083 reduces] the size of the smallest sawtooth-based diehard from [https://conwaylife.com/forums/viewtopic.php?p=169143#p169143 53&amp;times;53] to 49&amp;times;49, [https://conwaylife.com/forums/viewtopic.php?p=200295#p200295 reduced again] several days later to 47&amp;times;47 by b3s23love; the resulting diehard's lifespan is much smaller than the 53&amp;times;53 diehard's lifespan of 1826659985823844806 ticks -- i.e., the new lifespan of 1237975907532 ticks is only a record for the new reduced bounding box size.<br /> * '''December 18''': [[User:Confocal|confocaloid]] [https://conwaylife.com/forums/viewtopic.php?p=200067#p200067 constructs] a [[Racetrack_(disambiguation)|racetrack]] oscillator showcasing a diagonal 5c/26 [[biblock]] [[wire]]; the wire is supported by an extensible p4 sparker found by Keith Amling [https://conwaylife.com/forums/viewtopic.php?p=190922#p190922 in July].<br /> * '''December 14''': A significantly improved compiler and emulator package for [[APGsembly]] version 2 is [https://conwaylife.com/forums/viewtopic.php?p=199807#p199807 posted] by new contributor [https://conwaylife.com/forums/memberlist.php?mode=viewprofile&amp;u=3758 branoc], with new optimized arithmetic components, sample code and documentation.<br /> * '''December 11''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=199619#p199619 completes] a very high-clearance period-7 middleweight sparker based on a partial result by [[hotcrystal0]].<br /> *'''December 5''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=199295#p199295 completes] the first [[true-period|true]] [[period-35 glider gun]] based on a partial result by [[iNoMed]] and [[hotcrystal0]].<br /> *'''November 18''': [[Anivec]] [https://conwaylife.com/forums/viewtopic.php?p=198122#p198122 discovers] a small, direct [[H-to-MWSS]] conduit with a repeat time of 141 ticks. [[Period1GliderGun]] and [[Lucy D'Agostino]] [https://conwaylife.com/forums/viewtopic.php?p=198142#p198124 subsequently] [https://conwaylife.com/forums/viewtopic.php?p=198137#p198137 find] variants that reduce the repeat time to 120 ticks.<br /> * '''November 3''': [[Lucy D'Agostino]] [https://conwaylife.com/forums/viewtopic.php?p=197214#p197214 discovers] a new set of connectable Spartan converters with [[E-heptomino]] inputs, further expanding the set of [https://conwaylife.com/forums/viewtopic.php?p=197272#p197272 known E-heptomino conduits].<br /> * '''November 2''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=197089#p197089 finds a way] to use stable catalysts to make a p2 [[traffic jam]] [[wire]] turn a 90-degree corner with no help from [[sparker]]s.<br /> * '''October 28-30''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=196777#p196777 builds] the first known [[true]] [[period-47 glider gun]] based on a partial result by [[iNoMed]], after which the [[bounding box]] is reduced by more than a factor of four by several contributors over the next two days, from 311 &amp;times; 289 down to [[Luka Okanishi]]'s [https://conwaylife.com/forums/viewtopic.php?p=196889#p196889 greatly simplified design] at 147 &amp;times; 144.<br /> * '''October 20''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=196315#p196315 completes] a redesigned [[Unnamed (34,7)c/156 spaceship|(34,7)c/156 spaceship]] with a bounding box of (52514, 158980) and minimum population of 655,594; this is less than 1/38th of the population and less than 1/6000th of the area of the previous version of this spaceship constructed by [[Luka Okanishi]] last year. <br /> * '''October 10''': [https://conwaylife.com/forums/search.php?author_id=2896&amp;sr=posts Anivec] [https://conwaylife.com/forums/viewtopic.php?p=195741#p195741 rebuilds] an initial stage from Mitchell Riley's H-to-Gs into a [[Herschel]]-to-[[B-heptomino]] converter; [[Lucy D'Agostino]] [https://conwaylife.com/forums/viewtopic.php?p=195743#p195743 notices] that this is actually a known [[E-heptomino]] converter appended to a previously unknown Herschel-to-E converter, [[HRx93E]] -- which enables completely new Spartan Herschel conduits [[Rx155]] and [[R194]], among other things.<br /> * '''October 10''': [[Mitchell Riley]]'s &quot;[[LightCone]]&quot; search program [https://conwaylife.com/forums/viewtopic.php?p=195724#p195724 finds] several new Spartan [[Herschel]]-to-[[glider]] converters.<br /> * '''October 9''': [[Chris857]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1155&amp;p=195651#p195651 finds] a synthesis for [[popover]].<br /> * '''October 9''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=195696#p195696 adapts] Kazyan's [[B29]] spaceship recipe to construct a period-84 gun, with a considerable reduction in size and period from the previous B29 gun (which was period 148).<br /> * '''October 9''' [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=195663#p195663 reduces] the glider construction recipe for the [[B29]] spaceship to 16 gliders, with an improvement to 15G by [[User:DroneBetter|DroneBetter]].<br /> * '''October 7-8''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=195564#p195564 assembles] an adjustable-period oblique [[spaceship]] based on [[(2,1)c/6]] puffers and rakes, alternately building and then burning a (4, 2)c/6 [[bi-block]] [[fuse]]; the next day the spaceship is [https://conwaylife.com/forums/viewtopic.php?p=195607#p195607 upgraded] to an adjustable-period 48+24N [[forerake]].<br /> * '''October 4''': [[Alex Greason]] finds a large number of [https://conwaylife.com/forums/viewtopic.php?p=195565#p195565 reduced-cost glider syntheses] by running an exhaustive search in &quot;QuSrc&quot; (a custom-modified version of [[QuFince]]) to inspect all possible 5-glider collisions with glider placements in a 15x15 bounding box.<br /> * '''September 30''': AlphaPhoenix posts a [https://www.youtube.com/watch?v=g8pjrVbdafY YouTube video] walking through the process of starting with an arbitrary 16x13 target pattern and finding a 20-step [[predecessor]] of it; 20 steps might be the current record for an [https://conwaylife.com/forums/viewtopic.php?p=196293#p196293 arbitrary pattern of this width] -- though AlphaPhoenix's chosen pattern was a p2 oscillator, so a very large number of trivial predecessors are known for that specific pattern for any backtracking depth.<br /> * '''September 26''': [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=194858#p194858 notices] that a [[catalyst]] used in one of [[Simon Ekstrom]]'s [https://conwaylife.com/forums/viewtopic.php?p=190878#p190878 H-to-Gs from July 29] solves a very long-standing limitation of the stable [[F171]] conduit, reducing its [[repeat time]] from 227 ticks to as low as 120.<br /> * '''September 14''': [[Mitchell Riley]] finds [[Lx65 duplicator]], a record-breaking elementary [[Herschel]] [[fanout device]] -- a [https://conwaylife.com/wiki/Lx65#Stable_Spartan_catalyst stable Spartan variant] of the known [[Lx65]] conduit, which until now has generally needed sparker support.<br /> * '''September 4''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=193512#p193512 makes available] (via a published script) a general synthesis method for all members of the [[Clock#Extensibility|long&lt;sup&gt;N&lt;/sup&gt; clock]] family of p2 oscillators.<br /> * '''September 2-4''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=193366#p193366 discovers] a population-184 solution to the [[unique father problem]] with a self-forcing patch containing 283 specified (both on and off) cells and fitting in a {{times|16|20}} bounding box, each of these statistics being the smallest known. [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=193510#p193510 notes] that a self-forcing patch with as few as 271 specified cells exists for this still life.<br /> * '''September 1''': The [[Spacefiller#Synthesis|Spacefiller synthesis]] [https://conwaylife.com/forums/viewtopic.php?p=193430#p193430 wins] the 2023 [[Pattern of the Year]] competition.<br /> * '''August 29''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?p=193166#p193166 completes] a new smallest period-74 [[gun]] based on a partial result by [[Mitchell Riley]].<br /> * '''August 26''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=192907#p192907 discovers] a surprising period-96 [[B-heptomino hassler]] that combines the functionality of p45 and p51 hasslers [https://conwaylife.com/forums/viewtopic.php?p=192896#p192896 found] by [[Period1GliderGun]] a day earlier.<br /> * '''August 23''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=192750#p192750 completes] the RCT15 optimization project, reducing the tape length by roughly a factor of three from the first working RCT15 pattern -- and now constructing a working [[spacefiller]] instead of Alan Hensel's decimal counter.<br /> * '''August 19''': After a quick sequence of syntheses by several contributors, [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=192477#p192477 assembles a recipe] for the final unsynthesized 22-bit still life, xs22_8k487p8z39c321; the 22-bit synthesis project is now complete.<br /> * '''August 14-15''': The number of unsynthesized 22-bit still lifes dropped to [https://conwaylife.com/forums/viewtopic.php?p=192069#p192069 only 75] by August 14; by the next day, recipes had been found for more than half of the remaining still lifes.<br /> * '''August 12''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=191930#p191930 constructs] a fully rectangular against-the-grain [[greyship]].<br /> * '''August 1''': Voting [https://conwaylife.com/forums/viewtopic.php?t=6646 begins] for the 2023 [[Pattern of the Year]] contest, with voting set to end at the end of August.<br /> * '''July 31''': [[vilc]] shows an [https://conwaylife.com/forums/viewtopic.php?p=191053#p191053 example] of a compact period-32 [[wire#2c/3 wire|2c/3 wire]] transmitter and receiver.<br /> * '''July 31''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=191044#p191044 proves] that the 140-cell [[statorless p3]] is the unique smallest possible statorless period-3 oscillator in terms of its minimum population.<br /> * '''July 27''': A long-term effort by [[May13]] starting back in January brings the number of unsynthesized 22-bit still lifes down to [https://conwaylife.com/forums/viewtopic.php?p=190727#p190727 below 400], with several people contributing more syntheses since then.<br /> * '''July 26''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=190627#p190627 discovers] [[86P118]], the smallest known period-118 oscillator, based on a partial by [[iNoMed]].<br /> * '''July 16''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=189896#p189896 reduces] the best known [[highway robber]] [[recovery time]] from 742 ticks to 651 ticks.<br /> * '''July 4''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=189015#p189015 improves] the repeat time of the [[wire#2c/3 wire|2c/3 receiver]] from 742 ticks to 708, using a [[bronco]], a [[Jubjub reflector]], and an alternate ship-and-beehive [[bait]] proposed by [[Simon Ekström]].<br /> * '''July 3''': A [https://conwaylife.com/forums/viewtopic.php?p=189000#p189000 recent optimization effort] orchestrated by [[Vort]] [https://conwaylife.com/forums/viewtopic.php?p=186557#p186557 starting in June], with many contributions by [[confocaloid]], [[Louis-François Handfield]], and others, has greatly reduced the maximum and average sizes of guns with four-digit prime periods.<br /> * '''June 30''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=188787#p188787 optimizes] the [[2-engine Cordership]] seed to use 14 objects instead of 15; on the next day the minimum object count is [https://conwaylife.com/forums/viewtopic.php?p=188864#p188864 reduced] from 14 to 12.<br /> * '''June 30''': [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=188784#p188784 completes] a period-66 [[crab]] [[gun]] using a variant of Goldtiger997's crab recipe by [[iNoMed]] that allows for low-period guns; [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=188803#p188803 builds] a period-61 version. <br /> * '''June 28''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=188666#p188666 improves] the cost of synthesizing a [[crab]] (an important component of fast self-constructing circuitry) from 14 gliders to 11.<br /> * '''June 28''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=188652#p188652 constructs] a period-89 [[loafer]] gun based on a very fast synthesis by [[Louis-François Handfield]].<br /> * '''June 27''': [[Goldtiger997]] and [[Entity Valkyrie]] set [https://conwaylife.com/forums/viewtopic.php?p=188611#p188611 new records] for a compact pseudo-period-16 LWSS gun, using an [https://conwaylife.com/forums/viewtopic.php?p=188565#p188565 improved insertion recipe by vilc] from the previous day.<br /> * '''June 27''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=188596#p188596 updates] the digital-clock seed from May, to make it possible to compile it into a [[slow salvo]] using [[pslmake]].<br /> * '''June 21''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=188166#p188166 reworks] the June 11 &quot;loafer bitmap printer&quot; design to use much more compact orthogonal [[MWSS]]-based memory loops.<br /> * '''June 20''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=188020#p188020 constructs] the first gun for [[77P6H1V1|a c/6 diagonal spaceship]] using a synthesis found by [[Goldtiger997]] in January 2024.<br /> * '''June 13''': [[whatislife]] [https://conwaylife.com/forums/viewtopic.php?p=187562#p187562 discovers] a [[stable]] 50-cell, {{times|18|14}} {{LinkCatagolue|xp0_wggy09ghuzwd54czwci96z31h88c1vg7p48czw11x1221|name=135-degree LWSS-to-G|style=raw}} using [https://gitlab.com/apgoucher/silk/ Silk], with an input file similar to the sample input used to re-find the [[Snark]] but with an input LWSS instead.<br /> * '''June 11''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=187367#p187367 completes] a small, nearly edge-shooting glider-to-loafer converter with p154 technology to match the repeat time of the known 8-glider loafer synthesis.<br /> * '''June 10''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=187352#p187352 discovers] (using [[Silk]]) a new [https://conwaylife.com/wiki/Spartan_G-to-W-to-H glider-to-wing conduit], which can be connected to a known wing-to-Herschel conduit to make a [[glider-to-Herschel converter]] with only [[eater 1]]s and [[block]]s.<br /> * '''June 8''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=187167#p187167 posts] a period-10 [[pipsquirter]], made by combining a known period-10 [[Wire#2c/3_wire|2c/3 signal]] injector found by [[Dongook Lee]] [https://conwaylife.com/forums/viewtopic.php?p=187345#p187345 in 2015] with a new 2c/3-signal-to-pipsquirter [[converter]] from recent [[Silk]] searches.<br /> * '''May 29''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=186198#p186198 posts] a [[one-glider seed]] for a complete 24-hour digital clock mechanism.<br /> * '''May 5''': [[Adam P. Goucher]] reports in a new Discord thread the commencement of coding work on [[Silk]], a new CUDA drifter search program inspired by [[Mitchell Riley]]'s [[Barrister]].<br /> * '''April 30''': [[Lucy D'Agostino]] [https://conwaylife.com/forums/viewtopic.php?p=183857#p183857 posts] a modification of a partial [[Herschel]]-to-Herschel converter pointed out by [[Anivec]], producing an easily connectable and completely [[Spartan]] [[L141]] conduit with three output gliders including the [[FNG]] and [[SNG]].<br /> * '''April 19''': [[Nathaniel Johnston]] completes a [https://www.youtube.com/watch?v=eZ9BBcskBjY &quot;Herschel Tracks Tutorial&quot;] YouTube video about creating custom oscillators using Herschel conduits.<br /> * '''April 17''': [[Caleb R. Hilton]] uses [[qfind]] to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=182823#p182823 discover] a new [[c/7 orthogonal]] spaceship that can support a wave [https://conwaylife.com/forums/viewtopic.php?f=9&amp;t=2070&amp;p=38229#p38229 found] by [[Park Shinhwan]]. Furthermore, it can also support various c/7 pushalongs found by [[Matthias Merzenich]] and [[Frank Everdij]].<br /> * '''April 8''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=182059#p182059 constructs] and [https://conwaylife.com/forums/viewtopic.php?p=182092#p182092 refines] a puffer demonstrating that all sufficiently high [[c/4 diagonal]] [[rake]] periods are achievable. [[Matthias Merzenich]] uses this to [https://conwaylife.com/forums/viewtopic.php?p=182134#p182134 construct] a clean p3532+4N rake.<br /> * '''March 31''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=181579#p181579 builds] a complete 2c/3-wire-based [[pseudo-Heisenburp]] device with 742-tick repeat time.<br /> * '''March 27-30''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=181171#p181171 completes] a 2c/3 receiver with a [[repeat time]] of 876 ticks, which [[Adam P. Goucher]] eventually improves to 742 ticks using [[staged recovery]] mechanisms; the previous record-setting receivers needed 964 or 970 ticks to recover.<br /> * '''March 20''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=180679#p180679 discovers] a period-26 [[bouncer]]-based reflector, the first independent reflector of this period, using components by [[Nora Brown]] and [[Dean Hickerson]].<br /> * '''March 19''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=180587#p180587 constructs] new p6 [[c/2 orthogonal]] [[greystretcher]]s in which the stripes are bounded by extended [[table]]s.<br /> * '''March 18''': [[Nathaniel Johnston]] [https://www.youtube.com/watch?v=dfmCyrfxkTM posts a YouTube video] about the discovery of the [[true]] [[period-15 glider gun]] and [[period-16 glider gun]], and the history leading up to those discoveries.<br /> * '''March 17''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=180474#p180474 discovers] the first period-16 90-degree independent [[reflector]] based on a suggestion by [[Matthias Merzenich]], using the [[period-16 glider gun]] to hassle a honey farm predecessor and produce a [[banana spark]]. 90-degree reflectors are known for all periods except 14, 17, and 19 with periods 15, 23, and 26 having only [[dependent reflector]]s.<br /> * '''March 16-17''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=180367#p180367 completes] a new [[c/4 diagonal]] unstable [[puffer engine]] (only the third known puffer engine at this speed) based on a partial result by Matthias Merzenich. [[Caleb R. Hilton]] uses sparkers to [https://conwaylife.com/forums/viewtopic.php?p=180370#p180370 stabilise] the unstable engine into explicit puffers. [[David Bell]] uses this engine to [https://conwaylife.com/forums/viewtopic.php?p=180388#p180388 construct] the first p52 c/4 diagonal rake, and &quot;b3s23love&quot; and Merzenich use it to substantially [https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 reduce] the size of the p108 c/4 diagonal rake.<br /> * '''March 12''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=180119#p180119 discovers] a population-236 solution to the [[unique father problem]] with a self-forcing patch containing 389 specified (both on and off) cells and fitting in a {{times|22|20}} bounding box, each of these statistics being the smallest known.<br /> * '''March 12''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=180102#p180102 completes] the first [[c/4 diagonal]] backward-to-sideways glider reflector using reactions by [[Keith Amling]] and [[Matthias Merzenich]]. Using one of Bell's glider-releasing reactions and a beehive-to-ship converter by Amling, Merzenich [https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 constructs] the first c/4 diagonal p28 rake and demonstrates the existence of rakes at periods 32, 36, and 40.<br /> * '''March 9''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=179932#p179932 shows] that a previously known &quot;double beehive push catalyst&quot; found by Tanner Jacobi in December 2020 can serve as a [[2c/3 wire]] input conduit for either a single wire or two perpendicular wires, with a repeat time of only 100 ticks; [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=179942#p179942 finds a way] to activate the catalyst with a single passing [[Herschel]] with repeat time 176, and [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=179988#p179988 points out] a reset mechanism with a repeat time as low as 56 ticks (eventually reduced to [https://conwaylife.com/forums/viewtopic.php?p=180709#p180709 42 ticks]).<br /> * '''March 1''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=179391#p179391 discovers] the first [[true]] [[period-15 glider gun]] using a [[B-heptomino_hasslers#p15|B-heptomino hassler]] by [[Carson Cheng]] hours after finding the first p16 gun. Period-15 is now the smallest period for which a true-period gun is known.<br /> * '''February 29''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=179363#p179363 discovers] the first [[true]] [[period-16 glider gun]] using [[Charity's p16]] and a [[B-heptomino_hasslers#p16|B-heptomino hassler]] by [[Nora Brown]]. Period-16 is now the smallest period for which a true-period gun is known.<br /> * '''February 26''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=179093#p179093 discovers] a period-6 c/2 [[greystretcher]] in which the stripes are bounded by [[coiled snake]]s.<br /> * '''February 24''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=178897#p178897 completes] a non-period-doubling stabilization of iNoMed's p19 partial, which also allows for a stabilization of the wick. The result is [[goban]], the second known period-19 oscillator. [[EvinZL]] notes that there are two variants with slightly different connection points.<br /> * '''February 23''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=178793#p178793 discovers] that a period-19 partial result by [[iNoMed]] can be completed with a period-doubling catalyst, giving a period-38 oscillator. [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=178803#p178803 notices] that the p19 component can be extended to form a wick.<br /> * '''February 23''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=178796#p178796 discovers] two different [[c/2 orthogonal]] [[wickstretcher|stretchers]] for a pair of [[coiled snake]]s.<br /> * '''February 18''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=178449#p178449 notices] that a previously unrecognized pattern by [[Mitchell Riley]] from September 7, 2022 is actually a complete period-171 oscillator and is in fact the smallest known p171 oscillator.<br /> * '''January 29-February 2''': [[Keith Amling]], with some help from [[Matthias Merzenich]], discovers new [[c/4 diagonal]] spaceships ([https://conwaylife.com/forums/viewtopic.php?p=176777#p176777], [https://conwaylife.com/forums/viewtopic.php?p=176789#p176789], [https://conwaylife.com/forums/viewtopic.php?p=177108#p177108]) capable of eating a variety of objects including ships, blocks, boats, beacons, beehives, barges, loaves, tubs, toads, and mangoes. <br /> * '''January 26-28''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=176602#p176602 completes] a 259-[[glider synthesis]] of [[77P6H1V1]], making it the first [[c/6 diagonal]] spaceship to be synthesized.<br /> * '''January 22''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=176315#p176315 discovers] the first [[true-period|true]] [[period-53 glider gun]] based on a partial result by [[goldenratio]].<br /> * '''January 20''': [[Adam P. Goucher]] [https://cp4space.hatsya.com/2024/01/20/every-finite-phoenix-has-period-2/ proves] that every finite [[phoenix]] has period 2.<br /> * '''January 14-15''': [[Keith Amling]] discovers [[c/4 diagonal]] eaters for [https://conwaylife.com/forums/viewtopic.php?p=175711#p175711 blocks] and [https://conwaylife.com/forums/viewtopic.php?p=175747#p175747 blinkers] and uses the block eater to [https://conwaylife.com/forums/viewtopic.php?p=175765#p175765 construct] the first period-40 c/4 diagonal ship. [[David Bell]] and [[May13]] use these to reduce the [https://conwaylife.com/forums/viewtopic.php?p=175776#p175776 p72], [https://conwaylife.com/forums/viewtopic.php?p=175738#p175738 p80], and [https://conwaylife.com/forums/viewtopic.php?p=175767#p175767 p116] [[rake]]s. [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=175754#p175754 notices] that an incidental reaction in the blinker eater allows a known ship to eat a glider stream and can also be used to complete the first c/4 diagonal ships of periods 28, 32, and 36.<br /> * '''January 10-13''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=175654#p175654 proves] that no finite [[phoenix]] oscillators exist at periods 3 through 69.<br /> * '''January 9-12''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=175284#p175284 discovers] and [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=175495#p175495 reduces] the first period-9 [[c/3 orthogonal|c/3]] [[backrake]], the lowest possible period for a c/3 rake. [[May13]], [[Evin]], Merzenich, and Amling use this to construct the first c/3 rakes of periods [https://conwaylife.com/forums/viewtopic.php?p=175304#p175304 18], [https://conwaylife.com/forums/viewtopic.php?p=175309#p175309 63], [https://conwaylife.com/forums/viewtopic.php?p=175312#p175312 99], [https://conwaylife.com/forums/viewtopic.php?p=175358#p175358 117], and [https://conwaylife.com/forums/viewtopic.php?p=175312#p175312 126].<br /> * '''January 9''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=175245#p175245 reduces] the known upper bound on the average [[agar]] [[density]] from 320/559 &amp;asymp; 0.572 to 1176/2087 &amp;asymp; 0.563. The highest average density is conjectured to be 1/2.<br /> * '''January 5''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=1074&amp;p=174903#p174903 discovers] (using [[qfind]]) the first period-9 4c/9 orthogonal spaceship in a [[Life-like cellular automaton]] (B3567/S14578), fitting within a {{times|19|676}} bounding box in one phase.<br /> * '''January 1''': [[Layz Boi]] [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=1074&amp;p=174682#p174682 discovers] (using [[WLS]]) two new p2 lightspeed [[spaceship]]s in [[Life-like cellular automaton|Life-like rules]] containing both B2 and B3 but not B0 or B1, increasing the number of such rules in which spaceships are known to 10 (of the 8192 without S0 that have not been disproved).<br /> <br /> ==2023==<br /> * '''December 26''': [[Goldtiger997]] uses [[QuFince]] to find a 15-glider synthesis for the last remaining 17-bit still life that had cost 16 gliders -- completing the [https://conwaylife.com/forums/viewtopic.php?p=174201#p174201 &quot;17-in-15&quot; project].<br /> * '''December 21-29''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=173858#p173858 finds] a c/4 p80 puffer, which several days later is [https://conwaylife.com/forums/viewtopic.php?p=174473#p174473 cleaned up] by [[David Bell]] (and independently by May13) to produce complete c/4 p80 [[rake]]s. <br /> * '''December 20''': [[Luke Kiernan]] uses [[Barrister]] to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1849&amp;p=173771#p173771 complete] a [[boojum reflector]] variant with a different output glider -- which also implies a new G-to-R based on the [[Herschel receiver]] and a stable 4hd [[lane]] [[shifter]] based on the [[glider stopper]].<br /> * '''December 19-21''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=173671#p173671 discovers] a period-8 [[c/4 diagonal]] [[rake]]. Other users find various applications for this, including [https://conwaylife.com/forums/viewtopic.php?p=173853#p173853 a p72 rake] by [[praosylen]] with a [https://conwaylife.com/forums/viewtopic.php?p=173858#p173858 reduction] by [[May13]] and [https://conwaylife.com/forums/viewtopic.php?p=173906#p173906 filtered] to p144 by [[David Bell]].<br /> * '''December 17''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?p=173506#p173506 discovers] [[Snark64]], a new color-preserving 90-degree [[glider]] [[reflector]] with repeat time 64 -- useful for synchronization problems, since it has a different output [[parity]] from the [[Snark]].<br /> * '''December 16-26''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=173480#p173480 reduces] the known upper bound on the average [[agar]] [[density]] from 8/13 &amp;asymp; 0.615 to 17/28 &amp;asymp; 0.607. [[NooneAtAll3 ]] [https://conwaylife.com/forums/viewtopic.php?p=174190#p174190 reduces] this further to 320/559 &amp;asymp; 0.572.<br /> * '''December 12''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=173166#p173166 finds] a compact [[glider]] to [[wing]] to [[LWSS]] converter.<br /> * '''December 10''': [[Keith Amling]] proves ([https://conwaylife.com/forums/viewtopic.php?p=172934#p172934], [https://conwaylife.com/forums/viewtopic.php?p=172938#p172938]) that there are no [[phoenix]] oscillators of periods 7, 9, or 11.<br /> * '''December 10''': [[Alex Greason]] [https://conwaylife.com/forums/viewtopic.php?p=172853#p172853 discovers] a 5-glider [[synthesis]] for [[amphisbaena]], proving that all [[:Category:Strict_still_lifes_with_11_cells|11-cell still lifes]] can be synthesized with 5 or fewer gliders.<br /> * '''December 8''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=172734#p172734 discovers] a new type of [[c/5 diagonal]] [[wickstretcher]] for a period-2 wick.<br /> * '''December 2''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=172367#p172367 constructs] a (6,3)c/1024 [[knightship caterpillar]] with an almost completely new support mechanism, re-using only the [[over-unity]] glider production mechanism from the [[half-baked knightship]].<br /> * '''November 29''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=172182#p172182 discovers] a new longest-lasting known [[natural]] [[diehard]], a {{times|16|16}} [[soup]] lasting 1,413 generations before completely dying out, via [[apgsearch]].<br /> * '''November 22''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=171705#p171705 proves] that [[37P4H1V0]] is the unique smallest possible period-4 [[c/4 orthogonal]] spaceship in terms of its minimum population of 37 cells.<br /> * '''November 18-December 2''': David Bell [https://conwaylife.com/forums/viewtopic.php?p=171415#p171415 extends] earlier work on [https://conwaylife.com/forums/viewtopic.php?p=170856#p170856 period-116 c/4 spaceships] and [https://conwaylife.com/forums/viewtopic.php?p=171051#p171051 c/4 rakes] by EvinZL and May13, respectively. <br /> * '''November 16''': Several people extend a new [[beehive]] [[factory]] partial by [[Mitchell Riley]] to produce [[conduit]]s, usually with [[repeat time]] 90, that convert gliders to [[G-to-X_(November_2023)|other active objects]].<br /> * '''November 15''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=171254#p171254 proves] that [[30P5H2V0]] is the unique smallest possible period-5 [[2c/5 orthogonal]] spaceship in terms of its minimum population of 30 cells.<br /> * '''November 14''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=171092#p171092 discovers] [[44P49]], the smallest known period-49 oscillator, which quickly leads to a number of related [[SKOP]] records being broken.<br /> * '''November 12-13''': [[Keith Amling]] completes a census of all [https://conwaylife.com/forums/viewtopic.php?p=171012#p171012 period-3 ships up to 49 cells] and all [https://conwaylife.com/forums/viewtopic.php?p=171031#p171031 period-2 ships up to 80 cells] which discovers 6 new c/3 ships and proves that [[64P2H1V0]] is the smallest possible period-2 ship.<br /> * '''November 8-10''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=170685#p170685 discovers] a high-clearance variant of a known p28 [[c/4 diagonal]] puffer and combines two such engines to form a p116 puffer. Two days later, [[praosylen]] [https://conwaylife.com/forums/viewtopic.php?p=170835#p170835 modifies] the p116 puffer to form a [[dirty rake]] and [[Evin]] uses this dirty rake to [https://conwaylife.com/forums/viewtopic.php?p=170856#p170856 construct] a clean p116 rake. The previous lowest known c/4 diagonal rake period was 4508.<br /> * '''November 2''': affamatodidio [https://conwaylife.com/forums/viewtopic.php?p=170361#p170361 finds] and EvinZL reduces a [[Spartan]] 180-degree same-lane [[glider]] [[reflector]] with the same timing as [[Jubjub]].<br /> * '''October 22''': iNoMed [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;start=4175#p169611 finds] a new [[period-201 glider gun]] engine, the first engine of that period to be found and the smallest gun of that period by bounding box.<br /> * '''October 20''': Nora Brown [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;start=4175#p169492 finds] a new p41 engine, the [[p41 pi-heptomino hassler]].<br /> * '''October 12''': iNoMed combines an engine by Luke Kiernan and a sparker by Carson Cheng to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;start=4175#p169035 create] the first p81 engine, a p81 [[Pi-heptomino hasslers#p81|pi-heptomino hassler]].<br /> * '''October 9''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=168887#p168877 finds] a toggle-safe [[glider to block]] [[converter]].<br /> * '''October 5''': [[Tim Coe]] adds [https://conwaylife.com/forums/viewtopic.php?p=168544#p168544 two more levels of tetration] to the lifespan of a 112&amp;times;89 &quot;diesuperhard&quot;, pushing the lower bound up beyond 13^^^3; the bounds are then moved beyond 17^^^3 on the same day due to improvements by [[Adam P. Goucher]] and [[Evin]], with a similar sized bounding box (116&amp;times;86).<br /> * '''October 5''': Based on a partial result by [[Mitchell Riley]], [[iNoMed]] [https://discord.com/channels/357922255553953794/370571014654001154/1159398574103199794 completes] a p42 glider gun fitting in a 32&amp;times;23 bounding box, making it currently the seventh smallest [[true-period]] glider gun.<br /> * '''October 4'''&lt;!--inferred from time of DoI entry update--&gt;: [[Randall D. Beer]] [https://www.complex-systems.com/abstracts/v32_i01_a01/ proves] that no {{times|7|7}} [[Garden of Eden]] exists, and provides constraints on the population of {{times|8|8}} and {{times|9|9}} ones (which are not known to exist).<br /> * '''September 15-28''': Collaborative progress on enormously long-lived [[diehard]]s continues on the [https://conwaylife.com/forums/viewtopic.php?p=167981#p167981 &quot;engineered diehards&quot; thread], passing the threshold on September 28 of 11^^^3 = 11 ^^ (11 ^^ 11) ticks (where ^^ is the operator for tetration, i.e., iterated exponentiation).<br /> * '''September 24''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?p=167691#p167691 discovers] a period-76 shuttle for a pair of pi-heptominoes which, at 52 cells, is the smallest known oscillator of this period.<br /> * '''September 23''': [[Evin]] discovers compact, stable glider [[pulse divider]]s with new period multipliers of [https://conwaylife.com/forums/viewtopic.php?p=167612#p167612 5], [https://conwaylife.com/forums/viewtopic.php?p=167615#p167615 11], [https://conwaylife.com/forums/viewtopic.php?p=167642#p167642 12], and [https://conwaylife.com/forums/viewtopic.php?p=167615#p167615 4+6n]<br /> * '''September 18''': [[Mitchell Riley]] discovers [[86P107]], the first engine-based period-107 oscillator, and the smallest known oscillator of that period.<br /> * '''September 9''': [[Hartmut Holzwart]] [https://conwaylife.com/forums/viewtopic.php?p=166691#p166691 constructs] a new type of [[c/2 orthogonal]] [[agar ship]].<br /> * '''September 6''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=166490#p166490 completes] a period-6 [[c/3 orthogonal]] ship containing a simple [[wick]].<br /> * '''September 4''': [[400spartans]] [https://conwaylife.com/wiki/Unique_father_problem#Reduction constructs] a 278-cell unconstructible still life, smaller in population and bounding box than the previous minimum 306-cell version.<br /> * '''September 1''': The 2022 [[Pattern of the Year]] competition [https://conwaylife.com/forums/viewtopic.php?p=166268#p166268 concludes] with a tie for first place between the explicit 15-glider [[reverse caber-tosser]] and the unsynthesizable and limited-ancestor objects.<br /> * '''August 31''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=166120#p166120 constructs] the first c/3 [[Greyship#Types_of_greyships|against-the-grain greyship]] based on an idea by [[Hartmut Holzwart]].<br /> * '''August 28''': [[Carson Cheng]], [[Mitchell Riley]], and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=165969#p165969 collaborate] to find the smallest known p140 oscillator.<br /> * '''August 27''': [[Mitchell Riley]], [[iNoMed]], and [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=165849#p165849 collaborate] to find the smallest known p126 oscillator. [[Nora Brown]] and [[iNoMed]] then use this oscillator to [https://conwaylife.com/forums/viewtopic.php?p=165853#p165853 construct] a new record smallest p126 gun.<br /> * '''August 26''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=165834#p165834 discovers] the first [[2c/5 orthogonal]] [[greystretcher]].<br /> * '''August 11''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=164881#p164881 discovers] the first [[c/3 orthogonal]] [[wickstretcher]]s and [[greystretcher]]s.<br /> * '''August 9''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=164825#p164825 discovers] a new type of c/4 orthogonal [[greystretcher]].<br /> * '''August 1''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=164406#p164406 completes] a [[R-pentomino hasslers#p93|p93 R-pentomino hassler]], the first engine-based period-93 oscillator, based on a partial result by [[Carson Cheng]].<br /> * '''July 22''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=164021#p164021 completes] a [[period-41 glider gun]] using a design by [[Matthias Merzenich]] based on a partial result by [[May13]] and [[David Raucci]]. iNoMed subsequently [https://conwaylife.com/forums/viewtopic.php?p=164030#p164030 constructs] a much smaller p41 gun using an alternate design.<br /> * '''July 21''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=163987#p163987 completes] a [[c/5 orthogonal]] [[greyship]] with a record-breaking steep descent.<br /> * '''July 21''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=163972#p163972 discovers] a [[204P41|180&amp;deg; p41 dependent reflector loop]], the first {{period|41}} oscillator, proving that Life is [[omniperiodic]]. Brown also [https://conwaylife.com/forums/viewtopic.php?p=163993#p163993 finds] a related 90&amp;deg; p41 dependent reflector a few hours later. [[May13]] then [https://conwaylife.com/forums/viewtopic.php?p=164009#p164009 constructs] an independent [[bumper]]-based p41 reflector using the 180&amp;deg; dependent reflector.<br /> * '''July 14''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=163664#p163664 discovers] [[cribbage]], the first {{period|19}} oscillator, leaving period 41 as the only period for which no oscillator is known.<br /> * '''July 13''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=163639#p163639 discovers] and subsequently [https://conwaylife.com/forums/viewtopic.php?p=163643#p163643 reduces] the first engine-based {{period|59}} [[gun]] which is much smaller than the [[p59_dependent_reflector_loop#Other_uses_of_the_dependent_reflector|previous Herschel-based record]].<br /> * '''July 6''': [[Darren Li]] [https://gitlab.com/ascendantdreamweaver/scourge releases] [[scourge]], an [[ikpx]]-like oscillator search program.<br /> * '''June 29''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=163131#p163131 discovers] the [[p71 dependent reflector loop]], the smallest known {{period|71}} [[oscillator]].<br /> * '''June 29''': [[Nora Brown]] [https://github.com/nicobrownmath/LocalForce/tree/spaceship releases] a modification of [[LocalForce]] that can be used to search for [[dependent reflector]]s.<br /> * '''June 16''': [[Martin Grant]] [https://conwaylife.com/forums/viewtopic.php?p=162720#p162720 discovers] fenceposts for a very thin period-8 wick that was first presented in [[Lifeline_Volume_3#Page_17|Lifeline Volume 3]] in 1971.<br /> * '''June 11''': [[Andrew J. Wade]] [https://conwaylife.com/forums/viewtopic.php?p=162576#p162576 disproves] the existence of 4-cell-high [[orphan]]s in Conway's Game of Life. 5-cell-high orphans had previously been discovered by [[Steven Eker]] in 2016.<br /> * '''June 6''': The [[Unnamed (34,7)c/156 spaceship|(34,7)c/156 spaceship]] project, based on the [[(34,7)c/156 Herschel climber]], [https://conwaylife.com/forums/viewtopic.php?p=162379#p162379 is completed] by [[Luka Okanishi]].<br /> * '''June 2''': The [[Stable Storage Spaceship]] project [https://conwaylife.com/forums/viewtopic.php?p=162210#p162210 is completed] by [[Goldtiger997]], resulting in an [[engineered spaceship]] consisting of a [[glider]] colliding with a large [[still life]] [[constellation]].<br /> * '''May 26''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?p=161994#p161994 discovers] the [[Pi-heptomino_hasslers#p78|p78 pi-heptomino hassler]], the first engine-based {{period|78}} [[oscillator]].<br /> * '''May 18''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=161675#p161675 discovers] [[mold on fire-spitting]], a previously unnoticed [[LCM oscillator]] which is the smallest known non-trivial {{period|12}} oscillator.<br /> * '''May 14''': [[Mitchell Riley]] [https://discord.com/channels/357922255553953794/370571014654001154/1107315680287653888 discovers] the [[p82 lumps of muck hassler]], the smallest known {{period|82}} [[oscillator]].<br /> * '''May 11-16''': [[Andrew Trevorrow]] [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=6015 makes available] two versions of a &quot;HatLife&quot; Glu script that can explore cellular automata running on tilings of the recently discovered aperiodic &quot;hat&quot; monotile.<br /> * '''May 11''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=161411#p161411 assembles] a very large [[stable]] [[constellation]] (22,620 ON cells) that acts as a one-[[MWSS]] [[spacefiller]] [[seed]].<br /> * '''May 8-9''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=161321#p161321 discovers] simple wick-based c/5 [[greyship]] connections that allow the construction of new greyships and [[Wickstretcher#Greystretchers|stretchers]].<br /> * '''April 23''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=160785#p160785 completes] the first [[2c/5 orthogonal]] [[wickstretcher]] based on a partial result by [[Keith Amling]].<br /> * '''April 21''': [[Mitchell Riley]] [https://discord.com/channels/357922255553953794/370571014654001154/1099006580030185472 discovers] [[42P38]], the smallest known {{period|38}} [[oscillator]]. <br /> * '''April 21''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=160728#p160728 discovers] the [[p67 B-heptomino hassler]], the first engine-based {{period|67}} [[oscillator]].<br /> * '''April 21''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=160719#p160719 discovers] the [[p68 century hassler]], the smallest known {{period|68}} [[oscillator]].<br /> * '''April 19''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=160630#p160630 discovers] the [[p26 honey farm hassler]], the smallest known [[non-trivial]] {{period|26}} [[oscillator]].<br /> * '''April 18''': Forum user 'blah' [https://conwaylife.com/forums/viewtopic.php?p=160607#p160607 completes] a period-2^18 WireWorld metacell running in the Conway's Life rule.<br /> * '''April 18''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=160604#p160604 discovers] the first engine-based [[Period-49_glider_gun_(April_2023)|period-49 glider gun]] which is much smaller than previous [[Hotcrystal0_reaction#Generalized form|glider loop based guns]].<br /> * '''April 10''': [[Frank Everdij]] [https://conwaylife.com/forums/viewtopic.php?p=160290#p160290 discovers] a [[c/6 diagonal]] [[tubstretcher]], the first c/6 diagonal [[wickstretcher]] of any type.<br /> * '''April 8''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=160239#p160239 discovers] a [[c/5 diagonal]] [[barberpole]] [[wickstretcher|stretcher]].<br /> * '''April 5''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=160181#p160181 discovers] the first engine-based period-61 [[gun]] which is significantly smaller than previously known guns of this period.<br /> * '''April 4''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=160041#p160041 completes] a [[c/5 diagonal]] [[linestretcher]] with help from [[Matthias Merzenich]]. Merzenich [https://conwaylife.com/forums/viewtopic.php?p=160048#p160048 finds] an alternate solution to Amling's partial result soon after.<br /> * '''April 2''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=160180#p160180 discovers] a period-42 oscillator whose [[volatility#strict|strict volatility]] matches its ordinary [[volatility]]. This was the last composite period for which no such oscillator was known.<br /> * '''April 1''': New smallest known oscillators of periods [[72P119|119]], [[51P384|128, 192, 256, and 384]] -- [[Table_of_oscillators_by_period|SKOPs]] -- are posted by [[Mitchell Riley]], and by [[iNoMed]], [[Adam P. Goucher]], and [[Carson Cheng]] based on the initial period-384 oscillator discovery.<br /> * '''March 23''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=159458#p159458 constructs] and [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=159470#p159470 reduces] a new [[quartermax]] variant based on a partial result by [[Hartmut Holzwart]].<br /> * '''March 21''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=159336#p159336 completes] a [[c/2 orthogonal]] [[agar ship]] for a high-density period-2 agar.<br /> * '''March 19''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=159240#p159240 assembles] a 1227-glider [[spacefiller]] [[glider synthesis|synthesis]] based on a reduced final stage by [[Goldtiger997]]; optimizations are continuing, with a 1153-glider synthesis available on March 23.<br /> * '''March 15''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=159069#p159069 completes] a [[c/5 orthogonal]] [[ants]] waveguide.<br /> * '''March 13''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=158923#p158923 completes] a 2373-glider [[spacefiller]] [[glider synthesis|synthesis]], reduced the same day to 2283 gliders (with more reductions likely).<br /> * '''March 9''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=158775#p158775 discovers] a [[c/4 diagonal]] [[barberpole]] [[wickstretcher]].<br /> * '''March 9''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=158774#p158774 discovers] a small elementary 0-degree colour preserving [[Stable reflector|stable glider reflector]] with repeat time 59.<br /> * '''March 6''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=158649#p158649 discovers] and [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=158651#p158651 slightly reduces] a record-breaking small period-68 [[gun]] based on a new [[oscillator]] by [[Mitchell Riley]].<br /> * '''March 4''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=159163#p159163 discovers] a symmetric soup producing four copies of [[14P2.4]]. This means that all known still lifes, oscillators, and spaceships up to 15 cells have occurred at least [[semi-natural]]ly, although [https://conwaylife.com/forums/viewtopic.php?p=140882#p140882 some] have still not occurred [[natural]]ly.<br /> * '''March 2''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=158612#p158612 discovers] a record-breaking small period-52 [[gun]].<br /> * '''February 26''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=158264#p158264 finds] the activation step for a [[spacefiller]] [[glider synthesis|synthesis]].<br /> * '''February 21-22''': The first occurrence of the 15-cell still life [https://catagolue.hatsya.com/object/xs15_321e88gzxca1/b3s23 xs15_321e88gzxca1] [https://conwaylife.com/forums/viewtopic.php?p=158017#p158017 appears] in a random [[soup]] found by [[Charity Engine]]. Charity Engine also [https://conwaylife.com/forums/viewtopic.php?p=158077#p158077 finds] a second occurrence of this still life less than 24 hours later. This leaves the [[long|long&lt;sup&gt;9&lt;/sup&gt;]] extension of [[snake]] as the only 15-cell still life not known to occur [[natural]]ly.<br /> * '''February 17''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=157697#p157697 discovers] a [[c/4 diagonal]] [[linestretcher]] that can stretch lines with the closest possible spacing.<br /> * '''February 15''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=157631#p157631 completes] a [[c/4 diagonal]] maximum-density multi-[[tubstretcher]] based on a [[wave]] by [[Hartmut Holzwart]].<br /> * '''February 14''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=157535#p157535 discovers] a 6-glider [[synthesis]] of [[amphisbaena]], showing that every 11-cell [[still life]] can be synthesized with 6 or fewer gliders.<br /> * '''February 13''': The [[Conwaylife Lounge]] Discord server reaches 1,000 members.<br /> * '''February 2''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=156856#p156856 discovers] an extensible [[wickstretcher]] and an [[agar ship]] based on the [[overweight spaceship]].<br /> * '''February 1''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=156771#p156771 completes], and Goldtiger997 later [https://conwaylife.com/forums/viewtopic.php?p=156865#p156865 optimizes], a [[stable]] [[pseudo-Heisenburp]] device that detects a passing c/3 [[crotchet ship]] by removing its final [[anacrusis]] and then adding it back later.<br /> * '''January 31''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=156728#p156728 discovers] [[94P53]], the first known [[engine]]-based period-53 oscillator.<br /> * '''January 24''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=156408#p156408 discovers] a [[strictly volatile]] period-25 oscillator, [[Charity's p25]].<br /> * '''January 23''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=156338#p156338 discovers] a period-8 c/2 [[greystretcher]] component that uses blocks to stabilize the [[zebra stripes]].<br /> * '''January 20''': [[Darren Li]] uses [[Open Science Grid]] and a modified [[ikpx2]] to find [https://conwaylife.com/forums/viewtopic.php?p=156206#p156206 a surprisingly small (2,1)c/6 tagalong], which can be attached to [[Sir Robin]], [[Sir Sprayer]], and various minstrels in a wide variety of ways, including a connection to itself.<br /> * '''January 20''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=156198#p156198 completes] a [[gliderless]] lightweight spaceship gun based on [https://conwaylife.com/forums/viewtopic.php?p=156185#p156185 a partial result] by [[iNoMed]] and [[Lucy D'Agostino]].<br /> * '''January 17-19''': [[Carson Cheng]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=156093#p156093 discover] small [[glider gun]]s for periods 70, 72, and 84.<br /> * '''January 12''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=155852#p155852 discovers] the [[walrus]], the first known elementary [[c/8 diagonal]] [[spaceship]].<br /> * '''January 2-8''': [[Rocknlol]] [https://conwaylife.com/forums/viewtopic.php?p=155419#p155419 reduces] the minimum population record for a [[Max]] predecessor to 110 cells. Rocknlol subsequently [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=155703#p155703 reduces] this by finding a 107-cell Max predecessor, as well as a predecessor fitting in a record 21&amp;times;19 bounding box.<br /> <br /> ==2022==<br /> * '''December 29-31''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=155354#p155354 finds] a 127-cell [[Max]] predecessor, the smallest such pattern known in terms of population. [[Rocknlol]] [https://conwaylife.com/forums/viewtopic.php?p=155419#p155419 improves this further] by finding a 112-cell Max predecessor, as well as a predecessor fitting in a record 21&amp;times;21 bounding box.<br /> * '''December 23-28''': [[Goldtiger997]] finds the key activation steps for another [[2c/5]] [[spaceship]], [https://conwaylife.com/forums/viewtopic.php?p=155161#p155161 66P5H2V0], and another [[c/4]] diagonal spaceship, [https://discord.com/channels/357922255553953794/370571014654001154/1057593135489892382 37P4H1V1].<br /> * '''December 13''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=154825#p154825 constructs] a [[c/4 orthogonal]] &quot;[[agar]] [[spaceship]]&quot; escorting an adjustable-sized patch of period-4 &quot;[[OWSS]] agar&quot;.<br /> * '''December 12''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=154792#p154792 discovers] the first known [[engine]]-based period-61 oscillator, a [[Pi-heptomino_hasslers#p61|p61 pi-heptomino hassler]]. This also becomes the smallest known p61 oscillator.<br /> * '''December 12''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=154748#p154748 discovers] a [[light speed]] fuse capable of extending a [[c/3 orthogonal]] [[wave]].<br /> * '''December 9''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=154625#p154625 finds] a [[glider synthesis|synthesis]] component for extending a [[c/3 orthogonal]] [[spaceship]]. This gives the first known infinite series of synthesizable c/3 spaceships.<br /> * '''December 5''': [[Frank Everdij]] [https://conwaylife.com/forums/viewtopic.php?p=154464#p154464 discovers] [[taco]], the third known elementary [[c/7 orthogonal]] [[spaceship]].<br /> * '''December 2-3''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=154361#p154361 publishes] a script for constructing a [[strictly volatile]] [[oscillator]] with any period greater than or equal to 945.<br /> * '''November 25''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=154110#p154110 finishes] a 99-[[glider]] [[synthesis]] of a previously unsynthesized spaceship, &quot;[[brain]]&quot;, solving a [https://conwaylife.com/forums/viewtopic.php?p=22530#p22530 long-standing open problem].<br /> * '''November 21''': [[gravity]] [https://conwaylife.com/forums/viewtopic.php?p=153956#p153956 discovers] another new [[Methuselah#Infinite_growth|puffer-based methuselah]] within {{times|20|20}}, this time lasting 126,932,978 generations.<br /> * '''November 17''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153747#p153747 discovers] the first [[true]] period-34 [[glider gun]].<br /> * '''November 15''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=153564#p153564 completes] the 21-cell [[still life]] [[synthesis]] project. The project has spanned over a year and is the work of a large number of contributors.<br /> * '''November 12''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153483#p153483 discovers] the [[p43 pi-heptomino hassler]], the smallest known {{period|43}} [[oscillator]].<br /> * '''November 12-15''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=153465#p153465 reduces] the cost of the [[reverse caber-tosser]] to 15 gliders, and produces a new [https://conwaylife.com/forums/viewtopic.php?p=153609#p153609 &quot;RCT15&quot; demo pattern] and associated viewer scripts.<br /> * '''November 11''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=153452#p153452 constructs] the [[Speed Orthogonal Loopship]], a new [[adjustable spaceship|adjustable]] [[loopship]] design.<br /> * '''November 9''': A &quot;[[semi-natural]]&quot; [[Gosper glider gun]] [https://catagolue.hatsya.com/hashsoup/C4_4/o_hjWdgGhm7agu146534448/b3s23 appears] on Catagolue for the first time, in a [[symmetric]] [[soup]].<br /> * '''November 8''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=153274#p153274 finds] [[glider synthesis|syntheses]] for the last two 20-cell [[pseudo still life]]s.<br /> * '''November 8''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153284#p153284 discovers] the [[diamondback]], which is tied with [[rattlesnake]] for the smallest known {{period|11}} [[oscillator]].<br /> * '''November 8''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=153266#p153266 discovers] a dependent [[bouncer]]-based period-23 glider reflector using [[92P23|an oscillator]] by [[Mitchell Riley]]. This is the first p23 reflector of any type to be found.<br /> * '''November 7''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=153250#p153250 discovers] the first [[true]] [[period-25 glider gun]].<br /> * '''November 7-9''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=153201#p153201 posts] an [[RCT]] demo pattern with all ash trails successfully cleaned up, and two days later [https://conwaylife.com/forums/viewtopic.php?p=153348#p153348 completes] the remaining cleanup and construction tasks at the [[epicentre]] -- demonstrating in detail that any glider-constructible pattern can be constructed with exactly 16 gliders.<br /> * '''November 4-6''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153058#p153058 discovers] the [[70P23|p23 pi-heptomino hassler]], the smallest known {{period|23}} [[oscillator]] up to that point, and then [https://conwaylife.com/forums/viewtopic.php?p=153183#p153183 finds] yet another smaller p23 oscillator, [[55P23]], two days later.<br /> * '''November 3''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153032#p153032 discovers] [[54P94]], the smallest known {{period|94}} [[oscillator]].<br /> * '''November 2''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153007#p153007 discovers] a small [[period-51 glider gun]], whose capped version is also the smallest known {{period|51}} [[oscillator]].<br /> * '''October 30''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=152874#p152874 discovers] [[p73 lumps of muck hassler]], the smallest known {{period|73}} [[oscillator]].<br /> * '''October 24''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=152606#p152606 discovers] a smaller period-32 [[glider gun]] using a new twin bees hassler.<br /> * '''October 21''': [[Simon Ekström]] [https://conwaylife.com/forums/viewtopic.php?p=152460#p152460 discovers] [[NW-2T16]], a new [[Herschel-to-glider]] converter which [https://conwaylife.com/forums/viewtopic.php?p=152506#p152506 can also be used] to create the [[SKOP|smallest known oscillators of periods]] 89, 97, 101, and 103.<br /> * '''October 20''': New user [[gravity]] [https://conwaylife.com/forums/viewtopic.php?p=152437#p152437 discovers] a [[List_of_long-lived_methuselahs#Puffer-based_methuselahs|puffer-based methuselah]] within a {{times|20|20}} [[bounding box]] lasting 13,629,876 generations.<br /> * '''October 20''': Voting for the [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=5747 belated 2012 Pattern of the year competition] has been extended to the end of the year.<br /> * '''October 8''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=151938#p151938 discovers] [[34P20]], the smallest known non-[[LCM]]-based {{period|20}} [[oscillator]]. It is also the first known period-20 oscillator with [[volatility]] 1, although it is not [[strictly volatile]].<br /> * '''October 3''': [[Mitchell Riley]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=151727#p151727 discover] [[52P44]], the smallest non-[[LCM]]-based {{period|44}} [[oscillator]].<br /> * '''October 3''': [[cvojan]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=151695#p151695 discover] a [[period-40 glider gun]] with a 27&amp;times;20 [[bounding box]] - the fourth smallest of a glider gun with a unique period.<br /> * '''October 3''': The [[Open Science Grid]] [https://conwaylife.com/forums/viewtopic.php?p=151700#p151700 discovers] [[76P86]], the smallest known {{period|86}} [[oscillator]], using [[apgsearch]].<br /> * '''October 2''': Using parts of a new [https://conwaylife.com/forums/viewtopic.php?p=151696#p151668 extensible 8-engine Cordership], [[Brett Berger]] [https://conwaylife.com/forums/viewtopic.php?p=151675#p151675 completes] a pattern that produces a single glider stream with an irrational bit density, followed by another pattern that emits gliders in a line whose slope is the golden ratio.<br /> * '''October 2''': [[cvojan]] and [[vivi]] [https://conwaylife.com/forums/viewtopic.php?p=151670#p151670 discover] a [[period-24 glider gun]] with a 21&amp;times;20 [[bounding box]], later [https://conwaylife.com/forums/viewtopic.php?p=151697#p151697 reduced] to 20&amp;times;20 by [[James Pascua]], making it the second smallest known glider gun with a unique period.<br /> * '''October 2''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=151681#p151681 discovers] a small [[p28 block puffer]] using [[apgsearch]].<br /> * '''October 2''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=151646#p151646 finds] a [[92P23|third period-23 oscillator engine]], a beehive-and-honeyfarm hassler.<br /> * '''October 1''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=151619#p151619 discovers] [[115P106]], the smallest known {{period|106}} [[oscillator]].<br /> * '''October 1''': [[Luke Kiernan]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=151605#p151605 discover] the [[p68 pi-heptomino hassler]], the smallest known {{period|68}} [[oscillator]].<br /> * '''September 27''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=151430#p151430 discovers] the [[p79 pi-heptomino hassler]], both the smallest known {{period|79}} [[oscillator]] and the first of that period not based on adjustable-period mechanisms.<br /> * '''September 23''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=151303#p151303 finds] [[70P26|a new SKOP26]] ([[SKOP|Smallest Known Oscillator of Period]] 26), using an unusual [[catalyst]] [[constellation]] made up of an [[elevener]] plus a common [[ship]]+[[fishhook]] combination.<br /> * '''September 22''': googleplex [https://conwaylife.com/forums/viewtopic.php?p=151285#p151285 completes] a previously unfinished [[c/4 orthogonal]] moving [[wick]] from the '''jslife-moving''' collection, adding a front end to a back end found by [[Hartmut Holzwart]].<br /> * '''September 22''': A new period-86 [[R-pentomino]] [[hassle|hassling]] oscillator and [[Herschel]] [[factory]] is [https://conwaylife.com/forums/viewtopic.php?p=151276#p151276 discovered] by Nora Brown, adjusted by iNoMed, and made strict-[[volatility]] by Nora Brown with several variants with different relative phases.<br /> * '''September 14''': The [[Open Science Grid]] finds simpler [[glider syntheses]] for multiple [[oscillator]]s, specifically [https://conwaylife.com/forums/viewtopic.php?p=151006#p151006 5 gliders] for the [[caterer]] and [https://conwaylife.com/forums/viewtopic.php?p=151012#p151012 6 gliders each] for [[bi-pentadecathlon 1]] and [[boat tie bipole]].<br /> * '''September 14''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=151003#p151003 discovers] [[108P59]], the smallest known {{period|59}} [[oscillator]].<br /> * '''September 12''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=150930#p150930 discovers] the [[p94 R-pentomino hassler]], the smallest known {{period|94}} [[oscillator]].<br /> * '''September 11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=150882#p150882 discovers] the first true [[period-43 glider gun]] and, as a corollary, the first non-[[Snark]]-based {{period|43}} [[oscillator]].<br /> * '''September 1''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=150469#p150469 discovers] the [[p71 honey farm hassler]], the smallest known {{period|71}} [[oscillator]].<br /> * '''August 26''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=150241#p150241 discovers] the [[p85 R-pentomino hassler]], which in its minimum form is the smallest known {{period|85}} [[oscillator]].<br /> * '''August 21''': [[Luka Okanishi]] [https://conwaylife.com/forums/viewtopic.php?p=149933#p149933 completes] the [[p129 R-pentomino hassler]] based on a partial result by [[Luke Kiernan]]. With only 38 cells, it is the smallest known {{period|129}} oscillator.<br /> * '''August 16''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=149645#p149645 discovers] new [[pi-heptomino hassler]]s of periods 35, 40, 58, and 160, while [[Carson Cheng]] finds a new [[honey farm hassler]] of period 24.<br /> * '''August 16''': [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=149677#p149677 completes] an &quot;octo3g&quot; orientation-agnostic hash library for the existing database of 3-glider collisions, allowing active 3G collision patterns to be searched in the same way as the previous octo3obj and octohash databases, with (probably) no false positives.<br /> * '''August 11''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=149466#p149466 discovers] [[p11 thumb]], a small {{period|11}} [[oscillator]] and the first with an asymmetric [[rotor]] to appear in an official [[Catagolue]] symmetry.<br /> * '''August 9''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=149347#p149347 discovers] a [[p45 pi-heptomino hassler]] with only 29 cells, making it the smallest known {{period|45}} [[oscillator]].<br /> * '''August 9''': The [[Open Science Grid]] begins contributing CPU and GPU resources to [[Catagolue]].<br /> * '''August 8''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=149315#p149315 discovers] [[R-pentomino]] [[hassler]]s of periods [[p49 R-pentomino hassler|49]] and [[p91 R-pentomino hassler|91]]. The former is the smallest known {{period|49}} [[oscillator]] by population, while the latter [https://conwaylife.com/forums/viewtopic.php?p=149322#p149322 can be turned] into the smallest known period-91 [[glider gun]].<br /> * '''August 4''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=149120#p149120 discovers] a [[p220 honey farm hassler]].<br /> * '''August 2''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=149077#p149077 discovers] [[34P7]], a small {{period|7}} [[sparker]] with similar functionality to the previously-discovered [[meatball]].<br /> * '''July 30 - August 2''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=148949#p148949 discovers] a [[semi-natural]] [[methuselah]] lasting 128,719 generations, the longest lifespan known for an [[apgsearch]] [[soup]] excluding those which continue to grow infinitely after &quot;going boring&quot;. Three days later [https://conwaylife.com/forums/viewtopic.php?p=149071#p149071 a second one] is discovered lasting 132,364 generations.<br /> * '''July 29''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=148834#p148834 discovers] the smallest known period-92 oscillator, a 44-cell [[LCM oscillator]] consisting of a [[mold]] interacting with a previously-overlooked spark from a [[twin bees shuttle]] variant.<br /> * '''July 25''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=148702#p148702 discovers] a new stabilization of the [[p44 pi-heptomino hassler]] using only [[block]]s and [[eater 2]]s, while [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=148703#p148703 finds] a period-sextupling mechanism that works with all versions of the oscillator.<br /> * '''July 25''': [[Simon Ekström]] [https://conwaylife.com/forums/viewtopic.php?p=148650#p148650 discovers] a small, stable 180-degree glider [[reflector]].<br /> * '''July 25''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=148649#p148649 discovers] the [[p82 pi-heptomino hassler]], the smallest known {{period|82}} [[oscillator]].<br /> * '''July 24''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=148590#p148590 discovers] &lt;!-- https://discord.com/channels/357922255553953794/370571014654001154/1000611893007880323 --&gt; the [[speed tunnel]], a [[Spartan|non-Spartan]] [[Glider-to-Herschel converter|glider-to-Herschel conduit]] with a repeat time of 61 ticks, which makes it the fastest G-to-H conduit discovered to date.<br /> * '''July 23''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=148557#p148557 discovers] a new {{period|22}} [[century]] [[hassle]]r.<br /> * '''July 15''': [[Carson Cheng]] [https://discord.com/channels/357922255553953794/370571014654001154/997664404323709048 reveals himself] as the author of numerous randomly-generated [[glider syntheses]] covertly submitted to [[Catagolue]] over the last few months, most notably a 4-glider [[bipole]] and a 5-glider [[octagon II]].<br /> * '''July 15''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=148274#p148274 discovers] an 8-glider [[synthesis]] for [https://catagolue.hatsya.com/object/xs14_dbgzw1qm/b3s23 xs14_dbgzw1qm], which means that all strict 14-cell [[still life]]s can be synthesized with 9 or fewer gliders.<br /> * '''July 14''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=148244#p148244 discovers] a new glider-releasing H-to-R [[conduit]], and [[Matthias Merzenich]] uses it to [https://conwaylife.com/forums/viewtopic.php?p=148237#p148237 reduce] the size of the smallest known [[true]] period 59, 61, 67, and 77 [[gun]]s.<br /> * '''July 11-14''': [[Mitchell Riley]] and [[wwei23]] [https://conwaylife.com/forums/viewtopic.php?p=148173#p148173 discover] [[43P54]], the smallest known period-54 oscillator. [[David Raucci]] and [[hotcrystal0]] then use this oscillator to [https://conwaylife.com/forums/viewtopic.php?p=148236#p148236 reduce] the size of the smallest known period-54 [[gun]].<br /> * '''July 6''': [[Mitchell Riley]] and [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147980#p147980 discover] a [[200P199|period-199 oscillator]] whose reduced form also functions as a [[pipsquirter]].<br /> * '''July 6''': [[Mitchell Riley]] and [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147972#p147972 discover] a [[p146 pi-heptomino hassler]], which is later [https://conwaylife.com/forums/viewtopic.php?p=147977#p147977 monomerized] by [[Evin]] and [https://discord.com/channels/357922255553953794/370571014654001154/994432762603905074 reduced] to have a minimum population of only 52 cells.<br /> * '''July 6''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=147943#p147943 discovers] the first [[non-trivial]] period-34 oscillator, [[74P34]]. Using a resulting p34 beehive hassler by &quot;MAP bot&quot;, [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=147953#p147953 completes] a p34 [[bumper]] reflector.<br /> * '''July 6''': Based on a [https://conwaylife.com/forums/viewtopic.php?p=147886#p147886 partial result] by [[Hartmut Holzwart]], [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=147929#p147929 completes] a width-12 [[chicken wire]] [[greyship]] with a slope-0 back end, filling in the final gap in the collection of slope-0 chicken wire back ends.<br /> * '''July 5''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=147909#p147909 discovers] a new period-83 oscillator, [[62P83]], and [[iNoMed]] uses two copies to [https://conwaylife.com/forums/viewtopic.php?p=147908#p147908 construct] a small period-83 [[glider gun]].<br /> * '''July 2-3''': [[yaochen2]] and [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=147829#p147829 discover] [https://conwaylife.com/forums/viewtopic.php?p=147834#p147834 various] [[switch engine]]-based [[methuselah]]s within a 16&amp;times;16 bounding box, including one lasting 4,764,364 generations.<br /> * '''July 2''': [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147819#p147819 discovers] [[74P127]], the highest prime-period oscillator not based on adjustable-period loops.<br /> * '''June 30''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=147745#p147745 discovers] [[Charity's p16]], a relatively small period-16 oscillator.<br /> * '''June 29''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=147675#p147675 discovers] a [[glider synthesis]] for [[29P3H1V0]], meaning that all known [[spaceship]]s with up to 31 cells have a known synthesis.<br /> * '''June 26''': [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147576#p147576 discovers] the [[p58 pi-heptomino hassler]], the smallest known period-58 oscillator. Dani uses this to [https://conwaylife.com/forums/viewtopic.php?p=147579#p147579 construct] a [[gliderless]] p58 lightweight spaceship gun.<br /> * '''June 24''': [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147511#p147511 discovers] [[58P37]], the smallest known period-37 oscillator and the first one that can be used to create a [https://conwaylife.com/forums/viewtopic.php?p=147512#p147512 period-37 glider gun].<br /> * '''June 20''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=147341#p147341 reduces] the [[p4-assisted period-28 glider gun]], making it the fifth-smallest glider gun with a distinct period and leading to [https://conwaylife.com/forums/viewtopic.php?p=147342#p147342 additional reductions] to the [[period-14 glider gun|pseudo-p14 glider gun]].<br /> * '''June 14''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=147102#p147102 discovers] a [[p10 domino fountain|strong period-10 domino sparker]].<br /> * '''June 6''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=146680#p146680 completes] a c/2 wire width 2 [[chicken wire]] [[grayship]] using a dense wave front by [[Hartmut Holzwart]].<br /> * '''June 2''': [[Keith Amling]], [[Matthias Merzenich]] and [[Hartmut Holzwart]] collaborate to complete a [https://conwaylife.com/forums/viewtopic.php?p=146504#p146504 new greyship front edge], allowing for rectangular and trapezoidal [[greyship]]s that mix different widths of [[chicken wire]] with a minimum width of 13.<br /> * '''May 28''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=146196#p146196 discovers] [[meatball]], a small {{period|7}} [[spark]]-producing [[oscillator]] which can be used in place of [[38P7.2]] in certain [[glider gun]] constructions.<br /> * '''May 27''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=146111#p146111 completes another stage] of a 16G [[RCT]] implementation, moving the project gradually away from &quot;&lt;i&gt;we know vaguely how it would work&lt;/i&gt;&quot; toward &quot;&lt;i&gt;we know exactly how it works&lt;/i&gt;&quot;.<br /> * '''May 25-June 2''': [[Charity Engine]]'s continuing focus on non-C1 [[symmetry]] produces [https://conwaylife.com/forums/viewtopic.php?p=145987#p145987 several] [https://conwaylife.com/forums/viewtopic.php?p=146482#p146482 more] new p9 and p6 oscillators.<br /> * '''May 18''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=145728#p145728 discovers] [[30P25]], the smallest known {{period|25}} [[oscillator]] by population.<br /> * '''May 10''': [[mvr]] [https://conwaylife.com/forums/viewtopic.php?p=145411#p145411 discovers] a [[p84 honey farm hassler]] with only 42 cells, the smallest known period-84 oscillator by population.<br /> * '''May 10''': A [https://conwaylife.com/forums/viewtopic.php?p=145414#p145414 modification] of the CatForce search program by [[mvr]] allows for a significant speedup -- and also includes a symmetric search option that has very quickly started finding interesting new circuitry, such as a new [[Spartan]] [https://conwaylife.com/forums/viewtopic.php?p=145440#p145440 version of a known pi-to-2G converter]. <br /> * '''May 10''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=145359#p145359 posts] reductions to two different oscillators: the p12 [[crown]], and the [[p44 pi-heptomino hassler]].<br /> * '''May 2''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=144986#p144986 constructs] [[quartermax]], a [[quadratic-growth]] pattern that fills one quarter of the plane (instead of a half or full plane, as in [[halfmax]] and [[max]].)<br /> * '''May 2''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=144982#p144982 discovers] a new period-46 [[glider gun]] that does not rely on previously known [[:Category:Oscillators with period 46|p46 oscillators]] or on [[adjustable glider loop]]s.<br /> * '''April 28''': [[wwei23]] [https://conwaylife.com/forums/viewtopic.php?p=144828#p144828 discovers] a record-breaking smallest p12 [[backrake]] using &quot;WSS_Test&quot;, the modified [[apgsearch]] program that also found [[35P12H6V0]] (the record-breaking smallest p12 spaceship from February).<br /> * '''April 27''': [[Ilkka Törmä]] and [[Ville Salo]] [https://conwaylife.com/forums/viewtopic.php?p=144795#p144795 find] a &quot;self-forcing&quot; finite patch of period-2 [[agar]], and Oscar Cunningham stabilizes the patch to produce the first oscillator with a provably unsynthesizable [[rotor]].<br /> * '''April 25''': [[Andrew Wade]] uses his life slice spaceship search program ([[LSSS]]) to find a [https://conwaylife.com/forums/viewtopic.php?p=144727#p144727 new 151-cell 2c/7 spaceship], and May13 [https://conwaylife.com/forums/viewtopic.php?p=144728#p144728 produces] a number of variations based on it and known 2c/7 components.<br /> * '''April 21''': [[dani]], [[Oscar Cunningham]], [[Adam P. Goucher]] and [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=144536#p144536 collaborate] to reduce the number of gliders needed for any glider construction (via an [[RCT]] synthesis) from 17 to 16.<br /> * '''April 20''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3552&amp;start=400#p144490 finds] a new [https://catagolue.hatsya.com/object/gun_114/b3s23 period-114 glider gun] engine using two [[pi-heptomino]]es and four period-6 [[sparker]]s.<br /> * '''April 16''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=144315#p144315 posts] an example pattern demonstrating the [[reverse caber-tosser]] mechanism by constructing a [[shillelagh]], along with a massive amount of debris, in approximately 5.23&amp;times;10&lt;sup&gt;615&lt;/sup&gt; generations.<br /> * '''April 15''': [[Goldtiger997]] makes available a [https://conwaylife.com/forums/viewtopic.php?p=144242#p144242 Python script] that can assemble a [[Speed Orthogonoid]] for any rational orthogonal velocity below c/2 (with the usual practical limitations due to system resources).<br /> * '''April 12''': [[iNoMed]] and [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=144139#p144139 assemble] a new-record smallest [[period-36 glider gun]] using just one engine (the previous record-holder used two).<br /> * '''April 11''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=144121#p144121 discovers] a symmetric [[soup]] via [[apgsearch]] exhibiting [[infinite growth]] whose center takes 225,593,194 generations to stabilize, [[Methuselah#Infinite growth|a new record]].<br /> * '''April 11-14''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=144077#p144077 completes] a [[diehard]] with a size similar to previous efforts, that takes '''much''' longer to die out completely -- initially on the rough order of &lt;sup&gt;8&lt;/sup&gt;121 ticks, the eighth [https://en.wikipedia.org/wiki/Tetration tetration] of 121, and improved past &lt;sup&gt;12&lt;/sup&gt;121 ticks in the next few days.<br /> * '''April 7-10''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=144045#p144045 constructs] a [[diehard]] fitting within a 10,000-cell bounding box while having an exponentially long lifespan using a [[sawtooth]] design. With optimizations by [[toroidalet]], [[Dean Hickerson]], and others, this pattern lasts for ~1.33616&amp;times;10&lt;sup&gt;1443&lt;/sup&gt; generations before disappearing.<br /> * '''April 6''': [[Goldtiger997]]'s [[self-synthesizing oblique loopship]] [https://conwaylife.com/forums/viewtopic.php?p=143872#p143872 wins] the [[Pattern of the Year]] competition for 2021.<br /> * '''April 4''': [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=143798#p143798 finds] a [[20-cell quadratic growth]] pattern, the current record holder for the smallest [[breeder]] in terms of population.<br /> * '''April 2''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=143703#p143703 discovers] a pair of [[44P5H2V0]]s via a symmetric [[soup search]], making it the first {{periodS|5}} [[spaceship]] to occur [[semi-natural]]ly. [[iNoMed]] and [[Goldtiger997]] use this soup to [https://conwaylife.com/forums/viewtopic.php?p=143704#p143704 reduce] the 44P5H2V0 [[glider synthesis]].<br /> * '''April 1-8''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=143667#p143667 completes] two [[Speed Orthogonoid]] spaceships, which can be adjusted to travel arbitrarily close to the orthogonal speed limit of c/2, similar to the [[Speed Demonoid]]'s adjustability for diagonal speeds arbitrarily close to c/4.<br /> * '''March 31''': A [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=5616 forum thread] dedicated to [[diehard]]s, including engineered ones, is created, leading to the publication of constructions by [[Dean Hickerson]] and [[Pavel Grankovskiy]] fitting within small bounding boxes but lasting for [https://conwaylife.com/forums/viewtopic.php?p=143574#p143574 tens of thousands] (and even [https://conwaylife.com/forums/viewtopic.php?p=143605#p143605 hundreds of thousands]) of generations before disappearing completely.<br /> * '''March 28''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=143452#p143452 discovers] a c/2 orthogonal [[wickstretcher|stretcher]] for a stable wick.<br /> * '''March 27''': [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=143450#p143450 finds] a 6-[[glider]] [[glider synthesis|synthesis]] of a [[breeder]], breaking the previous record of [[Switch engine ping pong|7 gliders]].<br /> * '''March 23-27''': [[Rocknlol]] [https://conwaylife.com/forums/viewtopic.php?p=143277#p143277 finds] a 23&amp;times;15 predecessor to a [[breeder]], beating out [[Luka Okanishi]]'s recent 26&amp;times;18 pattern for the title of the smallest quadratic growth predecessor by [[bounding box]]. A few days later, this predecessor is further reduced to 23&amp;times;13.<br /> * '''March 22-23''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=143253#p143253 posts] a series of binary slow salvo recipes for the 17-glider [[reverse caber tosser]] that greatly simplify the problem of producing a complete proof-of-concept of RCT construction... not that it's all done yet!<br /> * '''March 17''': New forum user 'Game of Life Fun' [https://conwaylife.com/forums/viewtopic.php?p=143050#p143050 assembles] the first [[gliderless]] [[Gosper glider gun]] [[puffer]].<br /> * '''March 12-15''': [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=142708#p142708 finds] a small [[c/12 diagonal]] [[breeder]] using a custom [[apgsearch]] symmetry, with a 26&amp;times;18 predecessor [https://conwaylife.com/forums/viewtopic.php?p=142715#p142715 found] by [[Luka Okanishi]] and [[22-cell quadratic growth|a 22-cell predecessor]] [https://conwaylife.com/forums/viewtopic.php?p=142738#p142738 found] by [[David Raucci]] breaking the records for the smallest [[bounding box]] and [[population]], respectively, of a pattern exhibiting [[quadratic growth]]. Three days later, [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=142905#p142905 finds] a [[21-cell quadratic growth|21-cell solution]] with a different breeder.<br /> * '''March 11''': [[Nathaniel Johnston]] [https://conwaylife.com/forums/viewtopic.php?p=142667#p142667 announces] the official launch of the textbook ''[[Conway's Game of Life: Mathematics and Construction]]''.<br /> * '''March 8''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=142538#p142538 posts] an SSGRL ([[self-synthesizing glide-reflecting loopship]]) with a design similar to last year's [[self-synthesizing oblique loopship]].<br /> * '''March 4''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=142429#p142429 discovers] a pair of [[dart]]s via a symmetric [[soup search]], making it the first {{periodS|3}} [[spaceship]] to occur [[semi-natural]]ly.<br /> * '''March 4''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=142407#p142407 discovers] [[30P3]], a custom-built {{period|3}} [[sparker]] which can be used to construct a record-breaking 51-cell p48 oscillator when combined with [[Rob's p16]].<br /> * '''March 1''': [[iNoMed]] and [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=142297#p142297 discover] the first p30 gun that does not use the [[queen bee shuttle]].<br /> * '''February 24''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=142084#p142084 discovers] [[58P8H4V0]] via a symmetric [[soup search]], making it the first {{periodS|8}} [[spaceship]] to occur [[semi-natural]]ly.<br /> * '''February 23''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=142060#p142060 discovers] [[232P7H3V0]], the smallest known [[3c/7 orthogonal]] [[spaceship]].<br /> * '''February 21''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=141951#p141951 discovers] a symmetric [[soup]] which takes [[Die hard|2,474 generations to die out completely]], beating the previous &quot;messless [[methuselah]]&quot; record by over 400 ticks.<br /> * '''February 16''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=141729#p141729 discovers] the [[p23 honey farm hassler]], a smaller {{period|23}} [[oscillator]].<br /> * '''February 15''': dani [https://conwaylife.com/forums/viewtopic.php?p=141656#p141656 discovers] a new [[period-30 glider gun]] that uses only a single [[queen bee shuttle]] based on a symmetric 4-[[barrel]]ed gun [https://conwaylife.com/forums/viewtopic.php?p=141655#p141655 discovered] by [[Charity Engine]].<br /> * '''February 14''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=141620#p141620 discovers] [[p4-assisted period-28 glider gun|a smaller p28 glider gun]], with a [[bounding box]] of only 37&amp;times;24, which [[iNoMed]] uses to [https://conwaylife.com/forums/viewtopic.php?p=141628#p141628 construct] a smaller [[period-14 glider gun|pseudo-p14 glider gun]].<br /> * '''February 13''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=141608#p141608 discovers] a smaller {{period|62}} [[glider gun]] based on a glider-releasing [[wick]].<br /> * '''February 12''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=141568#p141568 discovers] a symmetric [[soup]] containing a [[bi-gun]], making it the second unique [[gun]] to have occurred [[semi-natural]]ly.<br /> * '''February 11''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=141492#p141492 discovers] [[32P21]], the smallest known {{period|21}} [[oscillator]].<br /> * '''February 10''': On Discord, &quot;mystical&quot; [https://discord.com/channels/357922255553953794/370571014654001154/941302038409674752 uses a modification of apgsearch] to find a period-12 spaceship, [[35P12H6V0]], with a minimum population four cells less than that of the [[Schick engine]], which had been the smallest known period-12 spaceship for about half a century.<br /> * '''January 29''': [[David Raucci]] makes the [https://www.conwaylife.com/w/index.php?title=RLE:Period27glidergun&amp;oldid=100000 100,000th edit] to LifeWiki.<br /> * '''January 29''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=140915#p140915 completes] a [[true]]-period [[period-27 glider gun]] based on a reaction found by [[goldenratio]].<br /> * '''January 26''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=140777#p140777 finds] a synthesis of another [[2c/5]] [[spaceship]], [[70P5H2V0]], based on a final step [https://www.conwaylife.com/forums/viewtopic.php?p=140650#p140650 completed on January 23rd].<br /> * '''January 17''': [[goldenratio]] and [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=140411#p140411 discover] the [[p39 pi-heptomino hassler]], the first {{period|39}} [[oscillator]] not based on an [[LCM]] or glider loop mechanism.<br /> * '''January 13''': [[Ilkka Törmä]] and [[Ville Salo]] [https://www.conwaylife.com/forums/viewtopic.php?p=140258#p140258 solve] the [[unique father problem]] in the positive, providing a 32&amp;times;26 [[still life]] that cannot be constructed from scratch by any means.<br /> * '''January 12''': [[David Raucci]] [https://www.conwaylife.com/forums/viewtopic.php?p=140183#p140183 discovers] [[44P38]], the first {{period|38}} [[oscillator]].<br /> * '''January 11''': [[Martin Grant]] [https://www.conwaylife.com/forums/viewtopic.php?p=140089#p140089 constructs] the first [[pseudo-period]] 16 and 17 [[LWSS]] and [[MWSS]] [[gun]]s. Period 16 is the minimum possible period for a MWSS gun.<br /> * '''January 10''': [[James Pascua]] [https://www.conwaylife.com/forums/viewtopic.php?p=140094#p140094 reduces] the [[period-48 glider gun]] to a bounding box of 31&amp;times;16 - beating [[Three quarters traffic light catalyst|period 46]] for the title of second-smallest known [[glider gun]]. As a corollary, the [https://www.conwaylife.com/forums/viewtopic.php?p=140108#p140108 smallest known] period-96 [[oscillator]] now consists of a p48 gun with a [[boat-bit]].<br /> * '''January 10''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=140063#p140063 completes] a 74-glider synthesis of [[Orion 2]], making it the fifth [[c/4 diagonal]] spaceship (not including the glider!) with a known synthesis.<br /> * '''January 6''': [[Ilkka Törmä]] and [[Ville Salo]] [https://www.conwaylife.com/forums/viewtopic.php?p=139854#p139854 solve] a generalized version of the [[grandfather problem]], proving that for every natural number n, there exists a pattern that has an n-tick predecessor but not an (n+1)-tick predecessor.<br /> * '''January 4''': [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=139761#p139761 further reduces] the [[p32 honey farm hassler]] to only 45 cells.<br /> * '''January 3''': [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=139701#p139701 discovers] a smaller [[p143 Bandersnatch loop]], using only relatively small [[still life]]s, and later [https://www.conwaylife.com/forums/viewtopic.php?p=139714#p139714 constructs] a 58-glider [[synthesis]] of it.<br /> <br /> ==2021==<br /> * '''December 31''': [[Ilkka Törmä]] finds (and [https://www.conwaylife.com/forums/viewtopic.php?p=139666#p139666 posts a few days later]) a 6x3 [[still-life]]-compatible region that can be extended into an infinite [[agar]] that has no predecessors other than itself.<br /> * '''December 21''': [[goldenratio]], [[iNoMed]], and [[praosylen]] [https://www.conwaylife.com/forums/viewtopic.php?p=139175#p139175 construct] a smaller [[period-48 glider gun]], with a bounding box of 35&amp;times;16, the third-smallest of any known unique-period gun.<br /> * '''December 19''': [[Tanner Jacobi]] [https://www.conwaylife.com/forums/viewtopic.php?p=139044#p139044 completes] a small period-126 glider gun using a [[pi]]-[[hassle|hassling]] mechanism, based on contributions by [[David Raucci]], [[iNoMed]], and [[cvojan]].<br /> * '''December 17''': [[Pavel Grankovskiy]] [https://www.conwaylife.com/forums/viewtopic.php?p=138965#p138965 completes] a blueprint laid out by googleplex, to produce a [[QuickSilver Demonoid|QuickSilver self-constructing spaceship]] made with entirely 1990s-era technology such as [[Silver's reflector]]s (but definitely 21st-century design techniques).<br /> * '''December 14–21''': [[cvojan]] [https://www.conwaylife.com/forums/viewtopic.php?p=138895#p138895 discovers] the [[traffic stop|three quarters traffic light catalyst]], resulting in [[hassler]]s of periods 36, 48, and 60. Later, cvojan [https://www.conwaylife.com/forums/viewtopic.php?p=139008#p139008 constructs] a smaller [[p76 pi-heptomino hassler]], with only 57 cells, using this hassling reaction as a [[catalyst]], while [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=139147#p139147 constructs] a smaller [[period-46 glider gun]] with a [[bounding box]] of 37&amp;times;15, the second-smallest of any known gun.<br /> * '''December 11''': [[David Raucci]] [https://www.conwaylife.com/forums/viewtopic.php?p=138670#p138670 assembles] a [[bouncer]] with repeat time 22 and period 11, a previously unknown period for bouncers (though it was known for [[bumper]]s).<br /> * '''December 10''': [[FractalFusion]] [https://www.conwaylife.com/forums/viewtopic.php?p=138634#p138634 constructs] [[statorless]] [[oscillator]]s for all periods that are multiples of 33.<br /> * '''November 29''': [[Pavel Grankovskiy]] [https://www.conwaylife.com/forums/viewtopic.php?p=138191#p138191 completes] &quot;DOGun SaGaQR&quot;, a &quot;shapeshifting&quot; pattern that can be adjusted to become a [[diehard]], high-period [[Volatility#Oscillators_with_volatility_1|volatility 1 oscillator]], 4-[[barrel]]led glider [[gun]], c/24 [[spaceship]], single [[glider]], or [[quadratic growth]] [[replicator]].<br /> * '''November 28''': [[Luka Okanishi]] and [[Tanner Jacobi]] construct the first [[true-period]] [[glider gun]]s of periods [https://www.conwaylife.com/forums/viewtopic.php?p=138155#p138155 51] and [https://www.conwaylife.com/forums/viewtopic.php?p=138157#p138157 49] respectively using [[hotcrystal0_reaction|a base reaction]] by [[wwei23]] and [[hotcrystal0]].<br /> * '''November 23–24''': [[Martin Grant]], [[Tanner Jacobi]], and [[Matthias Merzenich]] [https://www.conwaylife.com/forums/viewtopic.php?p=138057#p138057 complete] a period-20 partial found by [[David Raucci]] to construct a record-breaking [[period-20 glider gun]].<br /> * '''November 20''': [[Dongook Lee]] [https://www.conwaylife.com/forums/viewtopic.php?p=137874#p137874 finds] [[62P7]], a new period-7 [[domino]] [[sparker]] that's more accessible than [[132P7]], stronger than [[hebdarole]], and '''much''' smaller than [[754P7]] (which itself can be reduced to 678 cells with this same discovery).<br /> * '''November 18''': [[Dongook Lee]] [https://www.conwaylife.com/forums/viewtopic.php?p=137807#p137807 discovers] the first [[strictly volatile p4]] oscillator.<br /> * '''November 17''': [[Rocknlol]] [https://www.conwaylife.com/forums/viewtopic.php?p=137788#p137788 discovers] several new [[Max]] predecessors using [[LogicLifeSearch]] including, among others, one with only 151 cells and another with a [[bounding box]] of only 25&amp;times;21, making them the smallest known [[spacefiller]]s by these metrics.<br /> * '''November 17''': [[May13]] [https://www.conwaylife.com/forums/viewtopic.php?p=137751#p137751 constructs] the first clean c/6 orthogonal [[rake]] using 8 copies of a dirty p1212 puffer, and [[iNoMed]] quickly [https://www.conwaylife.com/forums/viewtopic.php?p=137752#p137752 reduces] this to 4 copies.<br /> * '''November 13''': Using the new [[weekender]] recipe, [[Goldtiger997]] and [[Dave Greene]] [https://conwaylife.com/forums/viewtopic.php?p=137616#p137616 complete] a glider-to-weekender converter less than a quarter of the size of the previous mechanism, with an option to produce [[doo-dah]] spaceships instead.<br /> * '''November 13''': [[Luka Okanishi]] [https://www.conwaylife.com/forums/viewtopic.php?p=137600#p137600 assembles] a working [[elementary]] Herschel merge circuit.<br /> * '''November 13''': With population optimization help from [[Entity Valkyrie]], [[Dongook Lee]] [https://conwaylife.com/forums/viewtopic.php?p=137595#p137595 finds] [[180P8]], a very high-[[clearance]] [[domino]] sparker that is a significant reduction to the previously known [[230P8]].<br /> * '''November 10''': [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=137484#p137484 announces] yet another size reduction for the [[period-144 glider gun]] using a [[transparent]]-[[blinker]] [[component]].<br /> * '''October 22''': [[MathAndCode]] [https://www.conwaylife.com/forums/viewtopic.php?p=136897#p136897 discovers] a [[phase shift]] reaction for [[50P9]] with period 9n-1.<br /> * '''October 21''': Various users [https://www.conwaylife.com/forums/viewtopic.php?p=136864#p136864 discover] new [[p3 pipsquirter]]s which can be used to support the [[carnival shuttle]].<br /> * '''October 13''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=136580#p136580 completes] a Python script capable of assembling the Nth [[Canada Grey]] [[greyship]] for N&gt;2, at a cost of 84N&lt;sup&gt;2&lt;/sup&gt; + 371.5N + 204 - 43.5*MOD(N,2) [[glider]]s.<br /> * '''October 12''': [[83bismuth38]] [https://www.conwaylife.com/forums/viewtopic.php?p=136555#p136555 discovers] [[66P62]], the smallest known {{period|62}} [[oscillator]].<br /> * '''October 11''': [[Nicolas Loizeau]] ('Coban' on the forums) posts a [https://www.conwaylife.com/forums/viewtopic.php?p=136626#p136536 new scalable programmable 8-bit computer] (and accompanying video).<br /> * '''September 23''': The textbook ''[[Conway's Game of Life: Mathematics and Construction]]'' by [[Nathaniel Johnston]] and [[Dave Greene]] is opened up to beta readers, available as a PDF at https://conwaylife.com/book/. Feedback can be submitted in [https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=5418 this thread].<br /> * '''September 19''': [[Rocknlol]] [https://www.conwaylife.com/forums/viewtopic.php?p=135872#p135872 finds] new record-breaking small 'pure nonfillers', one with 209 ON cells and one with a 33-by-27 bounding box. <br /> * '''September 17''': [[Dongook Lee]] and others, in a [https://discord.com/channels/357922255553953794/370571014654001154/888333616952770560 Discord discussion], improve the [[period-55 glider gun]] with new customized p5 sparkers, making it the second-smallest odd-period gun after the [[period-21 glider gun]] by minimum population, and the outright smallest by bounding box.<br /> * '''September 16''': [[David Raucci]] completes a new and significantly smaller [[true]] period [[period-54 glider gun]], with improvements based on a [https://discord.com/channels/357922255553953794/370571014654001154/888137152616083506 Discord collaboration].<br /> * '''September 14''': [[David Raucci]] [https://www.conwaylife.com/forums/viewtopic.php?p=135748#p135748 discovers] a smaller [[true-period]]-32 [[glider gun]] based on a new engine.<br /> * '''September 9''': [[David Raucci]] and [[Aidan F. Pierce]] [https://www.conwaylife.com/forums/viewtopic.php?p=135635#p135635 discover] the [[p32 honey farm hassler]], the smallest known {{period|32}} [[oscillator]], and [[Matthias Merzenich]] uses the underlying reaction to [https://www.conwaylife.com/forums/viewtopic.php?p=135636#p135636 construct] the first [[true-period]]-32 [[glider gun]].<br /> * '''August 29-September 6''': iNoMed and others, in a [https://discord.com/channels/357922255553953794/370571014654001154/881531301772029973 Discord discussion], radically improve the glider synthesis of the [[weekender]] from 56 gliders down to only 33, and reducing the [[repeat time]] from 444 [[tick]]s to 347 for a related 35-glider version (for 33G it's 427 ticks, and for 34G it's 447 ticks), making it one of the few known [[spaceship]]s besides the [[*WSS]]es that cost less than one glider per bit to synthesize.<br /> * '''August 24''': Matthias Merzenich [https://www.conwaylife.com/forums/viewtopic.php?p=135235#p135235 constructs] a period-18 reflector capable of reflecting a period-18 glider stream based on an oscillator by [[David Raucci]].<br /> * '''August 24''': [[Catagolue]] is updated to allow larger tabulations in the form of linked fragments, [https://discord.com/channels/357922255553953794/420789213466853387/879876922014851152 enabling] among other things storage of all xs21s (still lifes consisting of 21 bits).<br /> * '''August 23''': Matthias Merzenich [https://www.conwaylife.com/forums/viewtopic.php?p=135199#p135199 constructs] a new period-45 glider [[gun]] based on a partial result by David Raucci.<br /> * '''August 21''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=135135#p135135 re-uses SMOS technology] to build a [[RRO|reflectorless rotating oscillator]] with loopability 1, 2, 3, 4, and 6; with minor adjustments it can reach loopability 7, 10, or 11 (but not 8, 9, or 12 or higher).<br /> * '''August 2''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=134389#p134389 constructs] the first explicit example of a [[SMOS|spaceship made of spaceships]] in Conway's Game of Life.<br /> * '''August 1''': [[Tanner Jacobi]] [https://discordapp.com/channels/357922255553953794/370571014654001154/871483361435209748 constructs] the first [[true]]-period [[Period-21_glider_gun|period-21 gun]] using a new period-21 oscillator by [[David Raucci]].<br /> * '''July 30''': [[Martin Grant]] [https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=134269#p134269 constructs] a [[T-nosed p7]] using a reaction from 2016.<br /> * '''July 25''': [[Goldtiger997]] published the [https://www.conwaylife.com/forums/viewtopic.php?p=134059#p134059 detailed recipes] needed to synthesize an infinite family of increasingly larger greyships.<br /> * '''July 12''': [[James Pascua]] and [[Matthias Merzenich]] [https://www.conwaylife.com/forums/viewtopic.php?p=133473#p133473 discover] [[90P51]], a two-cell reduction to the smallest known non-trivial p51 oscillator.<br /> * '''July 9''': [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=133286#p133286 discovers] an 83-cell variant of the [[p25 pre-pulsar shuttle]], making it the smallest known period-25 [[oscillator]].<br /> * '''July 6''': [[David Raucci]] [https://www.conwaylife.com/forums/viewtopic.php?p=133141#p133141 discovers] a new glider gun engine with [[period-117 glider gun|period 117]].<br /> * '''July 1''': [[Martin Grant]] and Goldtiger997 [https://conwaylife.com/forums/viewtopic.php?p=132872#p132872 complete] the synthesis of the [[greyship]] from June 20th in 753 gliders.<br /> * '''June 20''': Goldtiger997 [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1557&amp;p=132334#p132334 completes] the final step of a [[greyship]] [[glider synthesis]].<br /> * '''June 18''': Adam P. Goucher [https://discord.com/channels/357922255553953794/370571014654001154/85543598338631273434 adds] to [[Catagolue]] the ability to recognize glider guns with up to four-digit periods, which can now be submitted to the collection via the nonmagical box at the bottom of the &quot;Syntheses&quot; page.<br /> * '''May 17''': Matthias Merzenich [https://www.conwaylife.com/forums/viewtopic.php?p=130340#p130340 constructs] a new [[period-20 glider gun]] based on a period-20 oscillator by [[wwei23]] and [[David Raucci]].<br /> * '''May 14-21''': Frank Everdij discovers [https://www.conwaylife.com/forums/viewtopic.php?p=130230#p130230 two] [https://www.conwaylife.com/forums/viewtopic.php?p=130622#p130622 new] elementary [[c/6 diagonal]] spaceships using [[ikpx2]].<br /> * '''May 9''': Adam P. Goucher [https://www.conwaylife.com/forums/viewtopic.php?p=129942#p129942 constructs] period-12 knightpuffer and knightrake technology using variants of the new [[sprayer]] [[knightship]]; this is quickly followed by other puffer and rake periods such as a [https://www.conwaylife.com/forums/viewtopic.php?p=129945#p129945 p48 mechanism] by cvojan.<br /> * '''May 9''': After a three-month, 16-thread [[ikpx2]] search, Adam P. Goucher [https://www.conwaylife.com/forums/viewtopic.php?p=129937#p129937 finds] a completion for a second [[elementary]] [[knightship]] front end found by [[Dylan Chen]], which is known as the [[sprayer]] due to a huge accessible side spark at the front.<br /> * '''April 13 - June 30''': [[David Raucci]] discovers many previously unseen oscillators, glider gun mechanisms, etc., including [[Raucci's p74]], using a [https://conwaylife.com/forums/viewtopic.php?p=130212#p130212 new search script] that finds spark support for hassling common active objects in various symmetries.<br /> * ''' April 11''': David Raucci [https://www.conwaylife.com/forums/viewtopic.php?p=128061#p128061 finds] a new [[p76 pi-heptomino hassler]] oscillator, which is quickly [https://www.conwaylife.com/forums/viewtopic.php?p=128083#p128083 reduced to a monomer form] by JP21, A for awesome, and [[Matthias Merzenich]].<br /> * ''' April 10-14''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=128012#p128012 completes] a 152-glider synthesis of a third c/4 orthogonal spaceship, [https://catagolue.hatsya.com/object/xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221/b3s23 61P4H1V0.1]; within four days this was reduced to an [http://catagolue.appspot.com/object?apgcode=xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221&amp;rule=b3s23 89-glider synthesis].<br /> * ''' March 19''': Matthias Merzenich [https://www.conwaylife.com/forums/viewtopic.php?p=126154#p126154 discovers] a new [[weekender]] tagalong.<br /> * ''' March 18''': Results for the 2020 [[Pattern of the Year]] competition include a tie for first place between the [[Bandersnatch]] and the [[Speed Demonoid]].<br /> * ''' March 17''': A small synthesis efficiency improvement project, [https://www.conwaylife.com/forums/viewtopic.php?p=125927#p125927 12-in-7] (12-bit still lifes constructed with 7 gliders or less) is completed, with 13 expensive syntheses reduced to below the target cost in less than a week.<br /> * ''' March 17''': [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=5066 Pattern of the Year voting], on a record-breaking thirty-nine entries for 2020, will close on March 17th.<br /> * '''March 12''': The 20-bit [[still life]] [[glider synthesis]] [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/xs20 project] is [https://www.conwaylife.com/forums/viewtopic.php?p=125259#p125259 completed].<br /> * '''March 7-8''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=124810#p124810 completes] a 215-glider recipe for [https://catagolue.hatsya.com/object/xq4_2534uof1u0u1fou4352zy087084048078zx3igi3x3igi3/b3s23 72P4H1V0], the second c/4 orthogonal spaceship to be synthesized.<br /> * '''February 10-11''': [[Chris Rowett]] uses [[ikpx2]] to discover several new moving objects, including a [https://conwaylife.com/forums/viewtopic.php?p=122299#p122299 p120 2c/5 puffer] and [https://conwaylife.com/forums/viewtopic.php?p=122454#p122454 c/5 diagonal tubstretcher, tagalong, and spaceship].<br /> * '''February 4-11''': [[Tanner Jacobi]], EvinZL, [[Louis-François Handfield]] and [[Sphenocorona]] [https://conwaylife.com/forums/viewtopic.php?p=121723#p121723 find] new Herschel-to-glider [[converter]]s and variants of existing H-to-Gs: NW26T157b, NE30T17_NE1T22, NW10T137, SW-18T136 and a [[Spartan]] SE16T36b.<br /> * '''January 11-March 8''': [[Hartmut Holzwart]] [https://conwaylife.com/forums/viewtopic.php?p=121698#p121698 completes] [https://conwaylife.com/forums/viewtopic.php?p=121889#p121889 several] new [[chicken wire]] [[greyship]]s with different widths of chicken wire, with specific examples constructed for widths 2 through 12 among others.<br /> * '''January 25''': [[Catagolue]]'s [[B3/S23]]/[[C1]] census [https://catagolue.hatsya.com/census/b3s23/C1-2021-01-25 reaches] a total of one quadrillion objects.<br /> * '''January 24''': [[goldenratio]] and [[bubblegum]] [https://www.conwaylife.com/forums/viewtopic.php?p=120269#p120269 construct] a [[glider synthesis]] for [[edge-repair spaceship 1]].<br /> * '''January 17''': [[wwei23]] [https://www.conwaylife.com/forums/viewtopic.php?p=119411#p119411 discovers] [[1320P7]], a large but high-clearance {{period|7}} [[sparker]] [[oscillator]].<br /> * '''January 16''': [[Dylan Chen]] [https://www.conwaylife.com/forums/viewtopic.php?p=119406#p119406 discovers] [[52513M]], the new longest-lasting known [[methuselah]] within a 16&amp;times;16 [[bounding box]], just a week after the discovery of 50093M.<br /> * '''January 16''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=119342#p119342 completes] a [[2c/5 orthogonal|2c/5]] [[waveguide]] for an oblique line of [[ants]] based on a partial result by [[Matthias Merzenich]].<br /> * '''January 10''': [[Alex Greason]] [https://conwaylife.com/forums/viewtopic.php?p=118703#p118703 makes available] a fresh set of transfer.py results. Fewer than 535 20-bit still lifes have no known glider synthesis, and 135 of these have soups available on [[Catagolue]] to assist with synthesis.<br /> * '''January 10''': [[Dylan Chen]] [https://www.conwaylife.com/forums/viewtopic.php?p=118727#p118727 discovers] another new [[3c/7]] spaceship, using [[Andrew J. Wade]]'s December update to [[LSSS]]. This is the first small 3c/7 spaceship with [[gutter symmetry]].<br /> * '''January 9''': [[Rob Liston]] [https://www.conwaylife.com/forums/viewtopic.php?p=118690#p118690 discovers] [[50093M]], the longest-lasting known [[methuselah]] within a 16&amp;times;16 [[bounding box]], using [[apgsearch]].<br /> * '''January 5''': [[Bullet51]] [https://www.conwaylife.com/forums/viewtopic.php?p=118256#p118256 uses ikpx2 to find] a third [[elementary]] [[c/6 diagonal]] [[spaceship]].<br /> * '''January 5''': [[Martin Grant]] [https://www.conwaylife.com/forums/viewtopic.php?p=118240#p118240 discovers] a new variant of a known [[H-to-G]] [[conduit]], NE16T14, with likely applications as a [[reflector]] and merge circuit in [[single-channel]] self-constructing circuitry.<br /> * '''January 5''': [[Sphenocorona]] and [[Luka Okanishi]] assemble a new elementary conduit, [https://www.conwaylife.com/forums/viewtopic.php?p=118100#p118100 HF96P], which allows for the creation of several new Herschel-to-glider [[converter]]s.<br /> * '''January 2-3''': bubblegum [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=117681#p117681 discovers] a new 3c/7 orthogonal [[Puffer#Puffer_engine|puffer engine]], allowing [[Matthias Merzenich]] and iNoMed to [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=117798#p117798 construct] the first clean 3c/7 [[rake]].<br /> <br /> ==2020==<br /> * '''December 28-31''': [[Dylan Chen]] discovers [[Anura]] ([https://www.conwaylife.com/forums/viewtopic.php?p=117159#p117159]) and [[Soba]] ([https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=117548#p117548]), the two smallest known [[3c/7 orthogonal]] spaceships, as stabilizations of the same frontend, and also a much smaller front end for the [[spaghetti monster]] on January 4.([https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=118021#p118021])<br /> * '''December 28''': ''The New York Times'' [https://www.nytimes.com/2020/12/28/science/math-conway-game-of-life.html publishes an article] reflecting on 50 years of Conway's Game of Life.<br /> * '''December 20''': A [[Bellman]] [https://www.conwaylife.com/forums/viewtopic.php?p=116491#p116491 search] by [[Tanner Jacobi]] turns up a new [[stable]] [[catalyst]] that can reset a [[beehive]] that has been pushed over by one cell by a collision.<br /> * '''December 17''': [[Tanner Jacobi]] discovers [https://discord.com/channels/357922255553953794/370571014654001154/789169624842371122 a p61 pattern] that moves one cell per cycle, and can be supported by single-bit sparks, glider streams, or additional copies of the pattern on each side.<br /> * '''December 15''': [[Matthias Merzenich]] [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=115869#p115869 constructs] the first [[Gun#True-period_guns|true]] [[period-28 glider gun]].<br /> * '''December 6''': John Winston Garth [https://www.conwaylife.com/forums/viewtopic.php?p=114481#p114481 discovers] [[doo-dah]], a new small period-21 [[tagalong]] for the [[weekender]], which can be used to create various [[2c/7 orthogonal]] [[puffer]]s and [[rake]]s.<br /> * '''December 5''': [[User_talk:MathAndCode|MathAndCode]] and [[User:yujh|yujh]] [https://www.conwaylife.com/forums/viewtopic.php?p=114356#p114356 discover] 'NW26T157', a new [[Spartan]] conduit that converts a Herschel into three gliders, similar to [[NW31]] but with one glider on an output [[lane]] of a different [[color]].<br /> * '''December 3-4''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=114036#p114036 finds] a final step for a [[turtle]] [[synthesis]], followed by a [https://www.conwaylife.com/forums/viewtopic.php?p=114209#p114209 complete 241-glider synthesis] the next day.<br /> * '''November 24''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=112239#p112239 completes] a [[barge crosser]], a mechanism which allows a glider signal to cross an arbitrarily long barge without causing permanent damage.<br /> * '''November 18''': [[Goldtiger997]] finds [https://www.conwaylife.com/forums/viewtopic.php?p=111260#p111260 glider recipes] that can convert M2 [[minstrel]]s into M3 minstrels and vice versa.<br /> * '''November 15''': [[wwei23]] [https://conwaylife.com/forums/viewtopic.php?p=110875#p110875 discovers] a new [[sparker]], a period-9 version of a [[heavyweight emulator]].<br /> * '''October 30''': [[Golly]] 4.0 is [https://www.conwaylife.com/forums/viewtopic.php?p=108478#p108478 officially released].<br /> * '''October 16''': [[Andrew Trevorrow]] makes available the first beta builds for [https://conwaylife.com/forums/viewtopic.php?p=106785#p106785 Golly 4.0], supporting Python 3.x and new rule types and neighborhoods, and enabling multi-color &quot;Super&quot; and &quot;History&quot; support for a wide range of two-state rules.<br /> * '''September 27''': A [[burloaferimeter]] variant [https://www.conwaylife.com/forums/viewtopic.php?p=105040#p105040 appears] in an asymmetric [[soup]] found by [[Rob Liston]], making it the first natural {{period|7}} oscillator.<br /> * '''September 26''': [[Pavel Grankovskiy]] [https://www.conwaylife.com/forums/viewtopic.php?p=104930#p104930 completes] [[Speed Demonoid]] version 2, removing the 2c/9 limitation; a [https://www.conwaylife.com/forums/viewtopic.php?p=105167#p105167 Golly script] can now build a spaceship with any rational diagonal speed below c/4 (subject to some practical size limitations).<br /> * '''September 19''': [[MathAndCode]] and [[Adam P. Goucher]] [https://www.conwaylife.com/forums/viewtopic.php?p=104484#p104484 construct] a 17-glider [[reverse caber-tosser]], proving that all [[synthesizable]] patterns can be made with no more than 17 gliders and that all synthesizable [[still life]]s can be constructed with no more than one glider per [[bit]].<br /> * '''September 19''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=104453#p104453 synthesizes] [[55P9H3V0]], the first period-9 spaceship to be synthesized.<br /> * '''September 18''': [[Pavel Grankovskiy]] [https://www.conwaylife.com/forums/viewtopic.php?p=104423#p104423 constructs] a complete [[Speed Demonoid]], using double [[crabstretcher]]s to accelerate a [[self-constructing]] [[spaceship]] to 3492022/17833792=1746011/8916896 ≈ 0.1958c, very close to c/5. The new spaceship can be adjusted to match any rational speed slower than 2c/9.<br /> * '''September 15''': [[wwei23]] [https://www.conwaylife.com/forums/viewtopic.php?p=104102#p104102 discovers] several new 3-engine Corderships, including one that cleans up its trailing blocks with sideways gliders, similar to a 5-, 6-, or [[7-in-a-row Cordership]].<br /> * '''September 9-17''': [[wwei23]] assembles a new type of period-192 [[4-in-a-row Cordership]], and later constructs [https://www.conwaylife.com/forums/viewtopic.php?p=104307#p104307 glider-to-Cordership] and [https://www.conwaylife.com/forums/viewtopic.php?p=104367#p104367 Cordership-to-glider] [[converter]]s for it.<br /> * '''August 29''': [[User:Goldtiger997|Goldtiger997]] completes a [[synthesis]] of the first known [[2c/5]] [[spaceship]], [[44P5H2V0]], almost thirty years after its discovery; this is the third completed synthesis for a 2c/5 spaceship.<br /> * '''August 23''': [[Adam P. Goucher]] adds to [[slmake]] a fast elbow push recipe created by [[Pavel Grankovskiy]], based on a [[c/4]] diagonal [[crab]] [[wickstretcher]]. This means that [[recipe]]s for self-constructing structures with a not-quite-attainable limit speed of c/4 can now be semi-automatically compiled.<br /> * '''August 16''': [[Tanner Jacobi]] [https://www.conwaylife.com/forums/viewtopic.php?p=102367#p102367 discovers] a 14-glider recipe for a [[crab]] spaceship, down from the previous cost of 16, which can be used to reduce the size and construction cost of a wickstretcher [[seed]].<br /> * '''August 14''': [[Rob Liston]] [https://www.conwaylife.com/forums/viewtopic.php?p=102387#p102387 finds] via [[apgsearch]] a third natural [[loafer]] emerging from asymmetric [[soup]].<br /> * '''August 10''': Syntheses of a variety of [[pufferfish spaceship]]s make their way to [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/xq36 Catagolue], thanks to an extension of the time required in online recipe submissions for all gliders to react.<br /> * '''August 2-18''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=101555#p101555 completes] and later [https://www.conwaylife.com/forums/viewtopic.php?p=102465#p102465 improves] a [[1G seed]] for a c/4 diagonal [[wickstretcher]], enabling [[self-constructing]] spaceships with the fastest possible diagonal speed of (just below) [[c/4]].<br /> * '''July 29''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=101323#p101323 constructs] a fast diagonal [[Demonoid]] puffer with velocity (4825784,4825784)c/45679544.<br /> * '''July 21''': [[Adam P. Goucher]] [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=100871#p100871 reduces] the cost of the [[reverse caber-tosser]] constructor to 32 gliders.<br /> * '''July 20''': [[A for awesome]] [https://www.conwaylife.com/forums/viewtopic.php?p=100822#p100822 completes] a new stable [[L122]] Herschel conduit, based on a [https://www.conwaylife.com/forums/viewtopic.php?p=100724#p100724 P2 periodic variant] by [[User:Entity Valkyrie 2|Entity Valkyrie]].<br /> * '''July 18''': A [[glider synthesis]] of [[70P2H1V0.1]] is [https://catagolue.hatsya.com/object/xq2_jimmgozmgmkqa323ms8zq2qamkgggqe4ziiqq26101z1/b3s23 posted to Catagolue] by [[Martin Grant]], making 70P2H1V0.1 the first period-2 spaceship to be synthesized.<br /> * '''July 7''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=100181#p100181 completes] a record-breaking [[seed]] [[constellation]] that, when triggered by a single gliders, turn into a clean 100-glider recipe for a c/5 spaceship, [[58P5H1V1]]. This potentially improves the unreachable upper bound on Demonoid speed from c/12 to c/5.<br /> * '''July 1''': A [https://www.conwaylife.com/forums/viewtopic.php?p=99834#p99834 collaborative effort] results in a series of HWSS Heisenburp circuits much smaller than the previous best known devices. Recovery time is under 1400 ticks. Some versions can also detect [[flotilla]]s with an HWSS along one edge.<br /> * '''June 20-30''': Several new signal converter circuits are constructed, including [[Luka Okanishi]]'s [https://www.conwaylife.com/forums/viewtopic.php?p=99516#p99516 242-tick 30P5H2V0-to-G] and [[Goldtiger997]]'s 290-tick [https://www.conwaylife.com/forums/viewtopic.php?p=99516#p99196 HWSS-to-G]. Many others are catalogued [[User:Goldtiger997/Spaceship_Stable_Circuitry|here]].<br /> * '''June 6-30''': [https://www.conwaylife.com/forums/viewtopic.php?p=99834#p99834 JP21's] and then [https://www.conwaylife.com/forums/viewtopic.php?p=99833&amp;#p99833 Jeremy Tan's] eater collections spark new interest, and eaters are found for several previously inedible spaceships such as [[dragon]], [[Canada goose]], and [[brain]].<br /> * '''June 8''': A [https://conwaylife.com/forums/viewtopic.php?p=98622#p98622 collaborative effort] produces a fully universal *WSS-to-glider [[converter]] that recovers in only 588 ticks, and works even if moved by an odd number of cells along the input [[lane]].<br /> * '''June 7''': [[Matthias Merzenich]] [http://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=98586#p98586 completes] an adjustable-width [[c/5 orthogonal]] [[wickstretcher]] using components by [[Keith Amling]] and [[Hartmut Holzwart]].<br /> * '''June 5''': [[Entity Valkyrie]] completes a mechanism suggested by [[Martin Grant]] to make a [[Bandersnatch]], a [[glider-constructible]] [[color-changing]] glider shifter with a recovery time of only 70 ticks.<br /> * '''May 25''': [[Louis-François Handfield]] and [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=97701#p97701 find] improved [[highway robber]]s with better [[clearance]] and 876- and 873-tick [[recovery time]]s.<br /> * '''May 22''': [[Entity Valkyrie]] [https://www.conwaylife.com/forums/viewtopic.php?p=97489#p97489 constructs] a [[gun]] for [[58P5H1V1]], the first gun to produce a [[c/5 diagonal]] spaceship.<br /> * '''May 9''': The [[silverfish]], a self-supporting 31c/240 [[caterpillar]]-type spaceship designed using the [[slow salvo]] recipe from the [[Centipede]] but a simpler front end, [https://www.conwaylife.com/forums/viewtopic.php?p=96462#p96462 is completed].<br /> * '''May 6''': [[Goldtiger997]] solves the problem of glider-constructing all [[Still_life#Pseudo_still_lifes|pseudo still life]]s consisting of [https://www.conwaylife.com/forums/viewtopic.php?p=96210#p96210 4&amp;times;N chunks] of blocks [[agar]].<br /> * '''May 3-4''': [[Louis-François Handfield]] adapts [[Martin Grant]]'s new [https://www.conwaylife.com/forums/viewtopic.php?p=95988#p95988 HL161H conduit] to make a new compact [[color-changing]] [[edge shooter]], [https://www.conwaylife.com/forums/viewtopic.php?p=96093#p96093 HSW47T214].<br /> * '''Apr. 21''': [[Rob Liston]] [https://www.conwaylife.com/forums/viewtopic.php?p=95336#p95336 discovers] [[49768M]], the longest-lasting known [[methuselah]] fitting within a 16&amp;times;16 [[bounding box]].<br /> * '''Apr. 11''': [[John Horton Conway]], the inventor of [[Conway's Game of Life]], dies in Princeton, NJ at the age of 82.<br /> * '''Apr. 8''': [[Louis-François Handfield]] [https://www.conwaylife.com/forums/viewtopic.php?p=93647#p93647 constructs] a much faster and more compact [[universal regulator]].<br /> * '''Apr. 3''': [[Goldtiger997]], [[Tanner Jacobi]], and others [https://www.conwaylife.com/forums/viewtopic.php?p=93167#p93167 complete] the [[glider synthesis]] for [[58P5H1V1]], the first synthesis for a [[c/5 diagonal]] [[spaceship]].<br /> * '''Apr. 1''': A [[loafer]] [https://www.conwaylife.com/forums/viewtopic.php?p=93011#p93011 appears] for the first time in an [[asymmetric]] [[soup]], submitted to [[Catagolue]] by [[John Goodman]]. Coincidentally, this occurred exactly two years after [[Dave Greene]] [https://www.conwaylife.com/forums/viewtopic.php?p=58727#p58727 posted] a fake soup for April Fools' Day 2018.<br /> * '''Mar. 25''': [[Martin Grant]] and others [https://www.conwaylife.com/forums/viewtopic.php?p=92323#p92323 complete] the [[glider synthesis]] for [[56P6H1V0]], the first synthesis for a [[c/6 orthogonal]] [[spaceship]] and the first for a {{periodS|6}} [[spaceship]].<br /> * '''Mar. 22''': [[Andrew J. Wade]] uses [https://gitlab.com/andrew-j-wade/life_slice_ship_search life_slice_ship_search] to find [[186P7H2V0]], a third [[2c/7 orthogonal]] spaceship, part of an infinite family based on a known 2c/7 [[wave]].<br /> * '''Mar. 22''': [[Goldtiger997]] completes the activation stage for a recipe for [[56P6H1V0]], which along with the [[spider]] and [[weekender]] is now one of the largest [[elementary]] spaceships for which a [[glider synthesis]] can (presumably) be completed.<br /> * '''Mar. 17''': [[Andrew J. Wade]] [https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=91518#p91518 discovers] [[409P6H1V0]], the narrowest known [[c/6 orthogonal]] spaceship, using [https://gitlab.com/andrew-j-wade/life_slice_ship_search life_slice_ship_search].<br /> * '''Mar. 9''': [[Richard K. Guy]], discoverer of the [[glider]], [https://aperiodical.com/2020/03/richard-k-guy-1916-2020/ passes away] at the age of 103.<br /> * '''Feb. 9''': [[Rob Liston]] [https://www.conwaylife.com/forums/viewtopic.php?p=89261#p89261 discovers] a new p16 oscillator, [[Rob's p16]], using [[apgsearch]]. It is the smallest known p16 by both [[population]] and [[bounding box]], the first p16 to appear from an asymmetric [[soup]], the first [[strictly volatile]] p16, and the first new [[rotor]] to be discovered by asymmetric soup search since the 1980s.<br /> * '''Feb. 8''': All 19-bit [[still life]]s [https://www.conwaylife.com/forums/viewtopic.php?p=89061#p89061 are confirmed] to have valid [[glider syntheses]].<br /> * '''Jan. 26''': [[Dave Greene]] [https://conwaylife.com/forums/viewtopic.php?f=7&amp;t=4279 creates] LifeSuper, an extended version of [[LifeHistory]] for advanced pattern annotation.<br /> * '''Jan. 26''': Entity Valkyrie [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1557&amp;p=88186#p88186 constructs] a period-11040 [[spider]] [[gun]], the first gun to fire a [[c/5 orthogonal]] spaceship.<br /> * '''Jan. 13''': [[Matthias Merzenich]] sets up a [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=4260 new &quot;manually distributed&quot; search] (table [https://conwaylife.com/wiki/User:Sokwe/C/8-width-19 here]), to find out whether a symmetric c/8 spaceship exists at width 19.<br /> * '''Jan. 9''': [[Nathaniel Johnston]] completes a long-running enumeration of [https://www.conwaylife.com/forums/viewtopic.php?p=87225#p87225 34-bit still lifes], finding 35,422,864,104 strict still lifes with 34 bits, and 41,058,173,683 pseudo still lifes with the same bit count, including 26 [[triple pseudo still life]]s.<br /> * '''Jan. 5''': A Rules namespace update on the LifeWiki allows [[LifeViewer]] to display in-browser many patterns using rule tables and trees, which previously couldn't be simulated without copying them into Golly.<br /> <br /> ==2019==<br /> * '''Dec. 30''': [[Andrew J. Wade]] uses his search program, [https://gitlab.com/andrew-j-wade/life_slice_ship_search life_slice_ship_search], to find the second elementary 2c/7 spaceship, [[scholar]].<br /> * '''Dec. 29''': Goldtiger997 [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=86668#p86668 synthesises] a variant of [[David Hilbert]].<br /> * '''Dec. 28''': [[Martin Grant]] finds a [https://www.conwaylife.com/forums/viewtopic.php?p=86644#p86644 counterexample] to a 22-year old conjecture by [[Dean Hickerson]] about still-life finitization.<br /> * '''Dec. 25''': Pavgran assembles [[Slavic]] [https://www.conwaylife.com/forums/viewtopic.php?p=86540#p86540], a quadratic-growth pattern similar to [[Hydra]] that doesn't need a central gun.<br /> * '''Dec. 9''': Goldtiger997 [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1557&amp;p=86121#p86121 reduces] the cost of the [[spider]] synthesis by over 100 gliders.<br /> * '''Dec. 1''': [[Martin Grant]] [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=85900#p85900 discovers] a new period-49 oscillator based on a partial result by [[Jason Summers]].<br /> * '''Nov. 24''': Luka Okanishi [https://www.conwaylife.com/forums/viewtopic.php?p=85719#p85719 discovers] a [[David Hilbert|period-23 oscillator]], leaving [[Omniperiodic|only four periods]] for which no non-trivial oscillator is known.<br /> * '''Nov. 20''': [[Dongook Lee]] finds a [[p7 pipsquirter]] that is [https://conwaylife.com/forums/viewtopic.php?p=85532#p85532 significantly smaller] than the old [[p7 pipsquirter]], leading to bounding-box reductions in the gun collection and various oscillators.<br /> * '''Nov. 18''': [[Tanner Jacobi]], Goldtiger997 and others find improved recipes for a number of difficult-to-synthesize still lifes, reducing the maximum cost for 16-bit still lifes to [https://www.conwaylife.com/forums/viewtopic.php?p=85457#p85457 14 gliders].<br /> * '''Nov. 17''': Michael Simkin uses [[pi calculator]] and [[Osqrtlogt]] technology to build a Life pattern that prints the song [https://www.conwaylife.com/forums/viewtopic.php?p=85414#p85414 &quot;99 Bottles of Beer on the Wall&quot;].<br /> * '''Nov. 12''': Bullet51 and Aidan F. Pierce discover [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=85245#p85245 new] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=85246#p85246 sparky] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=85249#p85249 period-13 oscillators].<br /> * '''Nov. 4''': [[Alex Greason]], [[Arie Paap]], BlinkerSpawn, and [[Dongook Lee]] collaborate on the [https://www.conwaylife.com/forums/viewtopic.php?p=84877#p84877 discovery of phoenix agar oscillators] on different-sized tori, which can [https://www.conwaylife.com/forums/viewtopic.php?p=84994#p84994 reproduce the behavior of XOR oscillators] in other rules (see [https://oeis.org/A160657 OEIS A160657]).<br /> * '''Oct. 28''': Goldtiger997 [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1557&amp;p=84593#p84593 finds] a 64-glider [[glider synthesis|synthesis]] for the [[27P4H1V1]] spaceship (later reduced to [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=85966#p85966 31 gliders]).<br /> * '''Oct. 22''': Goldtiger997 [https://www.conwaylife.com/forums/viewtopic.php?p=84423#p84423 constructs] a p612 [[gun]] for the [[46P4H1V0]] spaceship.<br /> * '''Oct. 9''': All 18-bit [[still life]]s [https://www.conwaylife.com/forums/viewtopic.php?p=83979#p83979 are confirmed] to have valid [[glider syntheses]].<br /> * '''Sep. 9''': The 17-in-17 Project [http://www.conwaylife.com/forums/viewtopic.php?p=82560#p82560 is completed], showing that every 17-bit [[still life]] can be [[glider synthesis|constructed]] using at most 16 [[glider]]s.<br /> * '''Aug. 15''': Update to a previous news item from 21 April 2019 (see archive): all 15-bit [[still life]]s can [http://conwaylife.com/forums/viewtopic.php?f=2&amp;p=81277#p81277 now be constructed] with at most 12 [[glider]]s.<br /> * '''July 16''': [[Dave Greene]] [http://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=79686#p79686 constructs] a [[large prime oscillator]] with a period equal to the largest Mersenne prime currently known, 2&lt;sup&gt;82589933&lt;/sup&gt;-1.<br /> * '''June 19''': A [http://conwaylife.com/forums/viewtopic.php?p=78036&amp;#p78036 huge long-term collaborative effort] is completed, showing that all glider-constructible [[still life]]s can (at least in theory) be constructed using less than two [[glider]]s per [[bit]].<br /> * '''June 2''': Goldtiger997 completes a [http://conwaylife.com/forums/viewtopic.php?p=77029#p77029 glider-to-25P3H1V0.2 converter], based on [[Martin Grant]]'s [[25P3H1V0.2]] synthesis from 2017.<br /> * '''May 29''': Thomas Cabaret makes available a [https://cp4space.wordpress.com/2019/06/11/self-replicator-caught-on-video/ Passe-Science video] featuring [[self-constructing]] CA patterns, including several minutes showing details of the [[0E0P metacell]].<br /> * '''May 25''': Goldtiger997 completes a [http://conwaylife.com/forums/viewtopic.php?p=76686#p76686 glider-to-crab converter], with the help of a script implementing a universal glider synchronization [[toolkit]].<br /> * '''May 24-30''': christoph.r posts several [http://conwaylife.com/forums/viewtopic.php?p=76645#p76645 unusual breeder designs] based on c/10 technology, including [http://conwaylife.com/forums/viewtopic.php?p=76901#p76901 some variants] on a [[pufferfish]] [[breeder]].<br /> * '''May 9''': GilGil makes available a [http://conwaylife.com/forums/viewtopic.php?p=76571#p76571 huge but elegant 60-line printer] traveling at c/10, based on fleets of [[fireship]]s.<br /> * '''Apr. 21''': [http://conwaylife.com/forums/viewtopic.php?p=75278#p75278 Improvements to glider syntheses] mean that every 15-bit still life has a recipe with at most 13 gliders. For current maximum costs, see the table in [https://conwaylife.com/wiki/Glider_synthesis#Still_life_syntheses Still-life syntheses].<br /> * '''Apr. 17''': [[Tanner Jacobi]] and [[Matthias Merzenich]] set several new bounding-box records with a [http://conwaylife.com/forums/viewtopic.php?p=75185#p75185 new glider gun mechanism] based on filtered MWSSes.<br /> * '''Apr. 14''': [[Michael Simkin]] completes a [[self-constructing]] puffer pattern which he calls [[Remini]] (&quot;retro Gemini&quot;), using a single-channel design with nothing but 1970s circuit mechanisms.<br /> * '''Apr. 10''': [[Jeremy Tan]] releases a new glider recipe database, [http://conwaylife.com/forums/viewtopic.php?p=74753#p74753 Shinjuku], specifically for tracking lowest-cost syntheses.<br /> * '''Apr. 6-7''': [[LifeViewer]] standardizes support for [[triangular neighbourhood]]s starting with Build 320.<br /> * '''Apr. 5''': An exhaustive computer search run by [[Nathaniel Johnston]] reveals that there are 14,223,867,298 strict and 15,851,861,075 pseudo [[:Category:Still lifes with 33 cells|33-bit]] [[still life]]s, including eleven pseudo still lifes that can be partitioned into [[Triple pseudo still life|three stable pieces but not two]], and none that can be partitioned into [[Quad pseudo still life|four stable pieces but not two or three]].[http://conwaylife.com/forums/viewtopic.php?p=74524#p74524]<br /> * '''Mar. 27''': The last remaining [[:Category:Strict still lifes with 14 cells|14-bit]] [[still life]], [https://catagolue.hatsya.com/object/xs14_4ai3zwo9a4/b3s23 xs14_4ai3zwo9a4], appears in a [[symmetry|C1]] [[soup]] on [[Catagolue]], in a haul submitted by an anonymous user.[http://www.conwaylife.com/forums/viewtopic.php?p=74007#p74007]<br /> * '''Mar. 24''': [[apgsearch]] v5.03 gains the ability to log 'megasized' [[soup]]s with final [[population]]s exceeding 3,000.[https://gitlab.com/apgoucher/apgmera/commit/2133cb40147cbb7b70f1a5fb4709f8f3b2feb6f7] [[Apgsearch#Version_5.x|apgsearch 5.x]] can also pre-process asymmetric C1 B3/S23 soups on GPUs with CUDA support.[http://conwaylife.com/forums/viewtopic.php?p=73557#p73557]<br /> * '''Mar. 7''': A [[spider]] [[glider synthesis|synthesis]] using 574 [[glider]]s and 9 [[LWSS]]es is found by [[Martin Grant]]. [http://www.conwaylife.com/forums/viewtopic.php?p=72705#p72705]<br /> * '''Mar. 3''': A [[figure eight on pentadecathlon|period-120 oscillator]], the highest period thus far, occurs from a natural [[soup]] on [[Catagolue]].<br /> * '''Mar. 2''': Several symmetric-soup [[diehard]]s with [https://catagolue.hatsya.com/object/messless_15h/b3s23 lifespans over 1500 ticks] are found by 'carybe', using [[apgsearch]].<br /> * '''Feb. 12''': A [[lightweight Schick engine]] appears from a natural (C1) [[soup]] on [[Catagolue]].<br /> * '''Feb. 9''': A [[47575M|47,575-tick 16x16 methuselah]] found by Adam Goucher via [[apgsearch]] yields a 16-cell, 47,487-tick methuselah. This discovery skips over several empty 1000-tick bins in [[Catagolue]] above the previous record 16x16 methuselah, [[Homer]].<br /> * '''Feb. 4''': A glider detection and removal upgrade in [[apgsearch]] version 4.91 gives a search speed boost of well over 50% compared to version 4.88.<br /> * '''Feb. 4''': [[Tanner Jacobi]] and [[Martin Grant]] [http://www.conwaylife.com/forums/viewtopic.php?p=69591#p69591 find a recipe], subsequently reduced to 88 gliders, for the first-ever synthesizable [[c/4]] spaceship, [[46P4H1V0]].<br /> * '''Jan. 21 - Feb. 1''': Additional (2,1)c/6 [[minstrel]]s and spaceship connections are found, bringing the number of combinations of elementary minstrels into double digits.<br /> * '''Jan. 25''': the ''[[Pattern of the Year#2018|Pattern of the Year 2018]]'' competition concludes, with [[Sir Robin]] taking first place.<br /> * '''Jan. 25''': [[LifeViewer]] [http://conwaylife.com/forums/viewtopic.php?p=68595#p68595 build 282] goes live on the LifeWiki and forums, with several enhancements including new labeling functionality.<br /> * '''Jan. 20''': [[Catagolue]] collects a record-setting longest-lived asymmetrical 16x16 [[diehard]], with a lifespan of 1058 ticks.<br /> * '''Jan. 17''': A new period-8 domino sparker, [[230P8]], is [http://conwaylife.com/forums/viewtopic.php?p=68099p68099 discovered by Arie Paap] and [http://conwaylife.com/forums/viewtopic.php?p=68104#p68104 reduced by 'Bullet51'].<br /> * '''Jan 16-18''': Four new [[minstrel]]s are found, plus a lucky connection of an existing minstrel to [[knightwave]], creating for the first time a [[grammar]] that allows for an infinite number of distinct [[elementary]] [[knightship]]s.<br /> * '''Jan 10''': A new period-24 oscillator, [[dueling banjos]], turns up in an [[apgsearch]] soup search. Uses so far include a smaller [[period-24 glider gun]], with associated improvements to p16 and p48 glider guns and a p48 LWSS gun.<br /> * '''Jan 3-7''': Record-setting [[diehard]]s are found by [[Rob Liston]] and [[Apple Bottom]] via [[apgsearch]].<br /> <br /> ==2018==<br /> * '''Dec 7''': A new oblique [[camelship]], much smaller and lower population than the [[Spaceship#Adjustable_spaceships|Gemini 3 variant]] from 2010, is completed by Chris Cain.<br /> * '''Dec 2''': The value of V, the lowest number for which an oscillator can be constructed with strict [[volatility]] 1 for that or any higher period, is reduced to [http://www.conwaylife.com/forums/viewtopic.php?p=66138#p66138 3,506,909 ticks].<br /> * '''Nov 30''': Adam P. Goucher sets another new record using the latest apgsearch by finding &quot;Homer&quot;, a [[42883M|16x16 methuselah with a lifespan of 42883 ticks]].<br /> * '''Nov 28''': An update to [[slsparse]] allows it to recognize [[45-degree MWSS-to-G]] converters in any orientation, and use unidirectional [[slow salvo]] recipes to construct them.<br /> * '''Nov 18''': Entity Valkyrie discovers a new period-13 [[FNG]] suppression mechanism, allowing the [[true]] [[period-52 glider gun]] to be reduced to less than a seventh of its previous size.<br /> * '''Nov 12''': A working [[0E0P metacell]] is announced by [[Adam P. Goucher]], along with [https://b3s23life.blogspot.com/2018/11/new-tools-for-self-construction.html several improvements] to [[slmake]], the program used to compile the metacell.<br /> * '''Oct 31''': An update to [[apgsearch]] sets another new record by finding a [[42100M|16x16 methuselah]] with a lifespan of 42,100 ticks.<br /> * '''Oct 31''': A self-constructing &quot;loopship&quot;, a new type of spaceship with a non-[[Geminoid]] design, is completed by [[Dave Greene]].<br /> * '''Oct 30''': A [[periodic]] (p5 or p4) [http://www.conwaylife.com/forums/viewtopic.php?p=65290#p65198 quinti-Snark] is constructed by Tanner Jacobi, with the usual implications for reductions to the glider gun collection.<br /> * '''Oct 29''': [[apgluxe]] v4.56-[[lifelib|ll]]2.0.5 and [[Catagolue]] add support for [[BSFKL]] rules.<br /> * '''Oct 28''': A record-setting 39,693-tick methuselah, [[Wilma]], is discovered by [http://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=65124#p65124 Rob Liston] using a custom FPGA [[soup]] searcher.<br /> * '''Oct 27''': An [http://www.conwaylife.com/forums/viewtopic.php?p=65112#p65111 new LWSS synthesis] by [[Chris Cain]] allows for [[LWSS]], [[MWSS]], and [[HWSS]] guns with [[pseudo]] [[period]]s as low as 18. 18 is the minimum for HWSS streams.)<br /> * '''Oct 21''': [[Hartmut Holzwart]] completes a [http://www.conwaylife.com/forums/viewtopic.php?p=64968#p64968 two-dimensionally extensible wick-supporting pushalong] with a minimum width of over a thousand cells.<br /> * '''Oct 21''': New [[Orthogonoid]]s with periods 2&lt;sup&gt;27&lt;/sup&gt; and 2&lt;sup&gt;28&lt;/sup&gt; are [http://www.conwaylife.com/forums/viewtopic.php?p=64949#p64949 constructed] by [[Dave Greene]], followed by a 2&lt;sup&gt;25&lt;/sup&gt; version by [[Adam P. Goucher]].<br /> * '''Oct 12''': A new [[:Category:Oscillators with period 14|period-14]] [[oscillator]], [[34P14.1]], is found by 'carybe'.<br /> * '''Oct 11''': Christoph R. [http://www.conwaylife.com/forums/viewtopic.php?p=64623#p64623 discovers] a [http://www.conwaylife.com/forums/viewtopic.php?p=64627#p64627 new Fireship tagalong].<br /> * '''Oct 10''': [[Dave Greene]] [http://www.conwaylife.com/forums/viewtopic.php?p=64590#p64590 completes the construction] of two new [[HashLife]]-friendly [[Demonoid]]s.<br /> * '''Oct 07''': [http://www.conwaylife.com/forums/viewtopic.php?p=64619#p64489 A complex 140-glider synthesis] of a c/2 signal traveling along a diagonal long&lt;sup&gt;N&lt;/sup&gt; barge [[wire]] is completed by Martin Grant.<br /> * '''Oct 03''': A [http://conwaylife.com/forums/viewtopic.php?p=64315#p64315 p4 [[bouncer]] reflector] is constructed by Arie Paap. With the p9 reflector, this completes the set of [[colour-changing]] and [[colour-preserving]] reflectors with periods from 4 to 9.<br /> * '''Oct 02''': A p9 reflector is discovered [http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1452&amp;start=1750#p64309 by Matthias Merzenich and &quot;carybe&quot;] based on Noam Elkies' [[bouncer]] reaction. This is the first reflector capable of reflecting a p27 glider stream.<br /> * '''Oct 02''': A [[true]] p33 gun is discovered [http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3552&amp;p=64281#p64266 by Arie Paap and Matthias Merzenich].<br /> * '''Sep 27''': A [[true]] [[p52 gun]] is [http://conwaylife.com/forums/viewtopic.php?p=64084#p64084 completed by a collaborative effort].<br /> * '''Sep 9''': [[Dave Greene]] completes the construction of a stable [[line crosser]] with a [[repeat time]] of 501 ticks.<br /> * '''Jul 15/19''': The [[Minstrel]]s, a group of [[tagalong]]s for [[Sir Robin]], are discovered.<br /> * '''Jun 14''': The [https://b3s23life.blogspot.com/2018/06/the-meaning-of-life-is-42-but-cost-of.html construction] of a [[reverse caber-tosser]] shows that any [[glider synthesis|glider-constructible]] object can be constructed with at most 35 [[glider]]s.<br /> * '''Apr 04''': A [[p3 bumper|p3 reflector]] is discovered by Arie Paap based on Tanner Jacobi's [[bumper]] reaction. This is the first reflector capable of reflecting a p39 glider stream.<br /> * '''Mar 06''': [[Sir Robin]], the first [[elementary]] [[knightship]] in [[Conway's Game of Life|Life]], is discovered by [[Adam P. Goucher]] and [[Tomas Rokicki|Tom Rokicki]].<br /> * '''Feb 19''': The [[2-engine Cordership]] wins the 2017 [[Pattern of the Year]] competition, with [[Tanner's p46]] taking second place.<br /> <br /> ==2009==<br /> {{LifeWiki:News/600 pattern milestone}}<br /> {{LifeWiki:News/500 pattern milestone}}<br /> {{LifeWiki:News/400 pattern milestone}}<br /> {{LifeWiki:News/300 pattern milestone}}<br /> {{LifeWiki:News/200 pattern milestone}}<br /> {{LifeWiki:News/LifeWiki goes live}}<br /> <br /> ==Also see==<br /> * [[LifeWiki:Did you know archive]]</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews/editcopy&diff=175328 2026-09-13T02:40:42Z

<p>Sokwe: Moved SSRRO and antship news items from editcopy to current news</p> <hr /> <div>[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Notes for non-administrators:<br /> Add current news items here. Someone with access to protected pages will transfer them to the [[Template:CurrentNews]] page.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details}<br /> <br /> Example:<br /> * '''April 20''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=144490#p144490 finds] a new [[period-114 glider gun]] engine using two [[pi-heptomino]]es and four period-6 [[sparker]]s. <br /> <br /> --&gt;<br /> The OCA CurrentNews news item submissions page can be found at [[Template:OCACurrentNews/editcopy]]; it follows the same style guide as this template.<br /> ----<br /> &lt;!-- Add everything below this comment --&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175327 2026-09-13T02:40:13Z

<p>Sokwe: Moved SSRRO and antship news items from editcopy to current news</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''September 11''': [[russellsprouts]] [https://conwaylife.com/forums/viewtopic.php?p=234959#p234959 constructs] the first [[Langton's Ant]] emulator in Life not based on the [[0E0P metacell]].<br /> * '''September 11''': [[I6_I6]] [https://conwaylife.com/forums/viewtopic.php?p=234958#p234958 constructs] the first [[self-synthesizing]] [[reflectorless rotating oscillator]] in Life; [[Goldtiger997]]'s [https://conwaylife.com/wiki/Reflectorless_rotating_oscillator#Engineered_RROs previous design] was not truly self-synthesizing.<br /> * '''September 10-11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=234911#p234911 constructs] the first c/6 diagonal puffer, using a reaction by [[Hunter]]. [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=234923#p234923 constructs] some smaller examples the next day. While c/6 diagonal puffers based on the [[Speed Demonoid]] design are possible, none have yet been constructed, and any such puffer would be much larger.<br /> * '''August 14''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=233142#p233142 posts] 'stentor', a more efficient redesign of a [[(23,5)c/79]] spaceship distinct from the [[waterbear]]; in Real Life, a stentor is a trumpet-shaped protozoan on the same order of size as a tardigrade.<br /> * '''August 7''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=232642#p232642 proves] that there are no period-2 spaceships that are [[polyomino]]es.<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175323 2026-09-11T21:00:06Z

<p>Sokwe: Added note on subsequent smaller c/6 diagonal puffers</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''September 10-11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=234911#p234911 constructs] the first c/6 diagonal puffer, using a reaction by [[Hunter]]. [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=234923#p234923 constructed] some smaller examples the next day. While c/6 diagonal puffers based on the [[Speed Demonoid]] design are possible, none have yet been constructed, and any such puffer would be much larger.<br /> * '''August 14''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=233142#p233142 posts] 'stentor', a more efficient redesign of a [[(23,5)c/79]] spaceship distinct from the [[waterbear]]; in Real Life, a stentor is a trumpet-shaped protozoan on the same order of size as a tardigrade.<br /> * '''August 7''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=232642#p232642 proves] that there are no period-2 spaceships that are [[polyomino]]es.<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=175322 2026-09-11T20:56:48Z

<p>Sokwe: /* Velocities of general moving objects */ corrected date</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Universal constructor-based spaceships (and other objects) that move very slowly have been made. The [[Gemini|first such object]] has a velocity of (5120,1024)c/33699586.<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 10 Sep 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq4_6frc|name=4|style=raw}}&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq4_153|name=4|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq30_yq232x232zug1hmgc865da808ad568cgmh1guybug1hmgc865da808ad568cgmh1guz124w6yb6w421yb124w6yb6w421|name=30|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq6_yyocxukcy6gocs20h0a38bac2qq73uszyjo4w8y0e4mo0vu0o606s6444u08clav0h03g440qq1333333x11zy9ecec2ik032i210sw3f0hy011w70401011033547442zy0emj896he1e1kif6q2gc50ew9qb30dzgo403gg066m32w11z34407q441n6zy311|name=6|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_3nw17862z6952|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_7dfxg88gxfd7zw123u2222u321|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq21_7dfxg88gxfd7zw123u2222u321zzweh1r4w4r1hezssoy6ossz12y821|name=21|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;7&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 63, 70, 84, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_ggg0774wguez1130g06mgcc403ju4y1ooz03331oo31gy112w62ec0ac4zy213111igzy4cc0j6mzy831|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq10_o5995ozes88sezw33|name=10|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=175321 2026-09-11T20:56:15Z

<p>Sokwe: /* Velocities of general moving objects */ c/6 diagonal puffer by Nora Brown and Hunter</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Universal constructor-based spaceships (and other objects) that move very slowly have been made. The [[Gemini|first such object]] has a velocity of (5120,1024)c/33699586.<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 1 Jun 2026: c/6 diagonal puffer [Nora Brown, Hunter]&lt;br&gt;<br /> 7 Jun 2026: c/7 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]&lt;br&gt;<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq4_6frc|name=4|style=raw}}&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq4_153|name=4|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq30_yq232x232zug1hmgc865da808ad568cgmh1guybug1hmgc865da808ad568cgmh1guz124w6yb6w421yb124w6yb6w421|name=30|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq6_yyocxukcy6gocs20h0a38bac2qq73uszyjo4w8y0e4mo0vu0o606s6444u08clav0h03g440qq1333333x11zy9ecec2ik032i210sw3f0hy011w70401011033547442zy0emj896he1e1kif6q2gc50ew9qb30dzgo403gg066m32w11z34407q441n6zy311|name=6|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_3nw17862z6952|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_7dfxg88gxfd7zw123u2222u321|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq21_7dfxg88gxfd7zw123u2222u321zzweh1r4w4r1hezssoy6ossz12y821|name=21|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;7&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 63, 70, 84, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_ggg0774wguez1130g06mgcc403ju4y1ooz03331oo31gy112w62ec0ac4zy213111igzy4cc0j6mzy831|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq10_o5995ozes88sezw33|name=10|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews/editcopy&diff=175320 2026-09-11T20:47:08Z

<p>Sokwe: Moved c/6 diagonal puffer news item to current news</p> <hr /> <div>[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Notes for non-administrators:<br /> Add current news items here. Someone with access to protected pages will transfer them to the [[Template:CurrentNews]] page.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details}<br /> <br /> Example:<br /> * '''April 20''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=144490#p144490 finds] a new [[period-114 glider gun]] engine using two [[pi-heptomino]]es and four period-6 [[sparker]]s. <br /> <br /> --&gt;<br /> The OCA CurrentNews news item submissions page can be found at [[Template:OCACurrentNews/editcopy]]; it follows the same style guide as this template.<br /> ----<br /> &lt;!-- Add everything below this comment --&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175319 2026-09-11T20:46:30Z

<p>Sokwe: additional detail</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''September 10''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=234911#p234911 constructs] the first c/6 diagonal puffer, using a reaction by [[Hunter]]. While c/6 diagonal puffers based on the [[Speed Demonoid]] design are possible, none have yet been constructed, and any such puffer would be much larger.<br /> * '''August 14''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=233142#p233142 posts] 'stentor', a more efficient redesign of a [[(23,5)c/79]] spaceship distinct from the [[waterbear]]; in Real Life, a stentor is a trumpet-shaped protozoan on the same order of size as a tardigrade.<br /> * '''August 7''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=232642#p232642 proves] that there are no period-2 spaceships that are [[polyomino]]es.<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175318 2026-09-11T20:45:14Z

<p>Sokwe: Moved c/6 diagonal puffer news item to current news from editcopy</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''September 10''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=234911#p234911 constructs] the first c/6 diagonal puffer, using a reaction by [[Hunter]]. While c/6 diagonal puffers based on the [[Speed Demonoid]] design are possible, none have yet been constructed.<br /> * '''August 14''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=233142#p233142 posts] 'stentor', a more efficient redesign of a [[(23,5)c/79]] spaceship distinct from the [[waterbear]]; in Real Life, a stentor is a trumpet-shaped protozoan on the same order of size as a tardigrade.<br /> * '''August 7''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=232642#p232642 proves] that there are no period-2 spaceships that are [[polyomino]]es.<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=175317 2026-09-11T20:39:38Z

<p>Sokwe: Added polyomino p2 spaceships disproof news item</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''August 14''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=233142#p233142 posts] 'stentor', a more efficient redesign of a [[(23,5)c/79]] spaceship distinct from the [[waterbear]]; in Real Life, a stentor is a trumpet-shaped protozoan on the same order of size as a tardigrade.<br /> * '''August 7''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=232642#p232642 proves] that there are no period-2 spaceships that are [[polyomino]]es.<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=174759 2026-08-09T21:51:52Z

<p>Sokwe: Moved May and early June news to archive</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:News_archive&diff=174758 2026-08-09T21:51:20Z

<p>Sokwe: Moved May and early June news to archive</p> <hr /> <div>The following is a list of past news items that ran on the [[Main Page]].<br /> <br /> ==Current news==<br /> The [[Template:CurrentNews|following news items]] are currently live on the [[Main Page]]:<br /> {{CurrentNews|nolinks=true}}<br /> ==2026==<br /> * '''June 12''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=229719#p229719 solves] another frontier synthesis problem, [[37P3H1V0.1]], by creating a component that can add an extension onto [[25P3H1V0.1]]; only three known 37-bit spaceships ([[37P3H1V0.2]], [[37P4H1V0]], and [https://catagolue.hatsya.com/object/xq4_sighgay0ggzxgg4kiu933azw745d/b3s23 xq4_sighgay0ggzxgg4kiu933azw745d]) are now without known syntheses.<br /> * '''June 8''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=229583#p229583 assembles] a construction recipe for a [[cottonmouth]] with 118 gliders, soon reduced to 116 gliders by [[Chris857]].<br /> * '''June 1-2''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=229315#p229315 completes] the critical final-stage synthesis of a [[lobster]] spaceship via an almost completely diagonally symmetric collision between 39 gliders and a 175-bit [[still life]] [[constellation]]; a collaborative effort produces a 186-glider construction recipe the same day, reduced to 118 gliders over the next two days.<br /> * '''May 23''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=228999#p228999 uses LightCone] to find a new [[Spartan]] glider-to-R-pentomino [[converter]] starting with a glider-activated pi explosion, with repeat time 187.<br /> * '''May 17''': [[lumi]] [https://conwaylife.com/forums/viewtopic.php?p=228795#p228795 builds] a maximally Golly-friendly [[self-synchronized linear replicator]], speed 256c/1048576, bounding box {{times|65676|65520}}, minimum population 16702; each new child copy is precisely in sync with the parent.<br /> * '''May 15''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=228702#p228702 discovers] a new record smallest p116 oscillator that hassles the object seen in [[Karel's p177]].<br /> * '''May 14''': [[hibiscus]] [https://conwaylife.com/forums/viewtopic.php?p=228687#p228687 posts] a 208-glider [[synthesis]] of the smallest known [[solifuge]] spaceship variant, minimum population 1414.<br /> * '''May 11-12''': [[Dmitry Maitak]] [https://conwaylife.com/forums/viewtopic.php?p=228569#p228569 reduces] the [[Orion 2]] synthesis from 54 gliders to 31 gliders. Based on this, [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=228592#p228592 completes] the first synthesis of [[Orion]] in 67 gliders, which is subsequently [https://conwaylife.com/forums/viewtopic.php?p=228612#p228612 reduced] by [[vilc]] and [[KtT]] to 55 gliders.<br /> * '''May 8''': [[lumi]] completes [https://conwaylife.com/forums/viewtopic.php?p=228460#p228460 another large reduction] in linear propagator design, from February's 83K-cell design down to only 12372 cells, building on recent universal-constructor optimization work by [[russellsprouts]] and [[inductivetype]].<br /> * '''May 8''': [[vilc]] uses [https://conwaylife.com/forums/viewtopic.php?p=228452#p228452 98 gliders] to synthesize [[36P3H1V0.2]], which had been one of the four smallest spaceships with no known glider synthesis.<br /> * '''May 7''': [[Entity Valkyrie 2]] completes a [https://conwaylife.com/forums/viewtopic.php?p=228444#p228444 new series of 90-degree periodic reflectors] using an [[octomino II]]-to-glider [[converter]] found by [[Anivec]] and pointed out by [[Timelord Missionary]].<br /> * '''April 30''' [[Anivec]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1849&amp;p=228477#p228230 finds] a new stable G-to-X -- a [[glider]] to [[R-pentomino]] [[converter]] with a [[repeat time]] of 194 ticks.<br /> * '''April 25''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=6258&amp;p=228088#p228078 constructs] the first [[oblique]] [[sawtooth spaceship]].<br /> * '''April 24''': [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=228048#p228048 posts] the first in a series of [[Demonoid]] spaceships with four-digit populations, radically smaller than any previous design, due to the hyper-optimized Snarkmaker and further contributions by [[russellsprouts]]; a major improvement is a [[Oncoming glider gun construction arm|completely new mechanism]] for a much more efficient [[construction arm]] than the standard [[single-channel]] design, using a temporary [[Simkin glider gun]] to produce slow salvos with less than three input gliders per output glider on average.<br /> * '''April 9''': [[russellsprouts]] [https://conwaylife.com/forums/viewtopic.php?p=227620#p227620 publishes] a hyper-optimized [[single-channel]] [[Snarkmaker]] recipe consisting of just 266 gliders -- nearly an order of magnitude improvement over the previous standard 2428-glider recipe that has been used in many [[self-constructing]] patterns.<br /> * '''March 31''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=227310#p227310 builds] a fifth [[unidimensional spaceship]] with a ten-digit simplified velocity; previous editions all had eleven-digit simplified velocities.<br /> * '''March 17''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=226884#p226884 uses slmake] to assemble two [[self-constructing]] [[oblique spaceship]]s, an ibisship and a flamingoship, with [[single-channel]] construction recipes and a much simpler design than the original [[Gemini]] ibisship; the flamingoship is the first ship constructed in Conway's Life with a (6m,m) offset.<br /> * '''February 22''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=225881#p225881 constructs] a gun for [[25P3H1V0.1]] using a sparker-assisted synthesis requiring only 12 gliders.<br /> * '''February 21''': [[siffrin normal]] [https://conwaylife.com/forums/viewtopic.php?p=225892#p225892 discovers] a new smallest period-103 oscillator, [[Siffrin's p103]], in a [[D4_x4]]-symmetric soup. With a minimum population of 68 cells, this is over 100 cells smaller than the [https://catagolue.hatsya.com/object/xp103_yzyzyv33y58e1e88gzyzyzyzy3330311ybckzyzyzyz03224e6y725acy165lozyzyzylgs2552ypggzyzyzyxo8a6yf11zyzyzyma64y8742zzzzzyzyz4kcy86c2zzzzzyzy9gcoy8ca8zzzzzymg8oy88okzyo1ok46zy433ypg88ge2z6a8oy1ck8gy7os8gggy611z0bdy41y4g0ggy11zyd255t0t5y5ggzyh1y711/b3s23 previous record holder]. It is also the first known engine-based oscillator of this period, as well as the first to occur [[seminatural]]ly.<br /> * '''February 20''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=225769#p225769 discovers] a pre-pulsar-to-Herschel converter that can be combined with an older pulsar [[factory]] by [[Luke Kiernan]] to create a new Herschel conduit, R338. [[Jormungant]] subsequently [https://conwaylife.com/forums/viewtopic.php?p=225790#p225790 finds] a way to remove an awkward outbound glider by colliding it with the [[first natural block]] of the output Herschel, allowing many more connections to this conduit than would otherwise be possible.<br /> * '''February 19''': [[PK22]] [https://conwaylife.com/forums/viewtopic.php?p=225700#p225700 monomerizes] a [[T-nose]]d period-9 sparker found by [[siffrin normal]] on February 11. [[iNoMed]] subsequently [https://conwaylife.com/forums/viewtopic.php?p=225703#p225703 reduces] the size of the period-27 glider gun using this new sparker.<br /> * '''February 16''': [[lumi]] [https://conwaylife.com/forums/viewtopic.php?p=225566#p225566 designs and assembles] a working [[single-channel]] [[linear propagator]], with a bounding box less than 1/17th of the size (in each dimension) of the original 2013 linear propagator, with population somewhat lower also -- 83477 cells in many of the phases.<br /> * '''February 9''': [[Evin]] [https://conwaylife.com/forums/viewtopic.php?p=225211#p225211 posts] two versions of a record-breaking &quot;[[SlowSilver Demonoid]]&quot;, considerably smaller in bounding box and population than the previous smallest Demonoid, the [[0hd Demonoid]]; [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=225193#p225193 produces] a version of the first SlowSilver Demonoid with a reduced bounding box.<br /> * '''January 30''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=224802#p224802 produces] a smaller unidimensional spaceship with a 776,525,415-cell bounding box, and a slightly higher velocity of 2c/27735693820; the previous version had length 795,435,669 and speed 2c/28409785756. [[I6_I6]] posted a 3,980,418-glider synthesis [https://conwaylife.com/forums/viewtopic.php?p=224804#p224804 the same day].<br /> * '''January 18-24''': [[David Bell]] uses the new period-10 spaceship to construct [https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 the first period-10 c/2 rake] and [https://conwaylife.com/forums/viewtopic.php?p=224234#p224234 multiple] [https://conwaylife.com/forums/viewtopic.php?p=224390#p224390 families] of puffers, completing the collection of c/2 puffers with every possible multiple-of-10 period.<br /> * '''January 18''': [[I6_I6]] [https://conwaylife.com/forums/viewtopic.php?p=224181#p224181 constructs] a gun for [[70P2H1V0.1]]. This is the first gun that fires a period-2 spaceship.<br /> * ''' January 13-14''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=223977#p223977 discovers] a new period-10 c/2 spaceship with a significant side spark. [[Hartmut Holzwart]] subsequently finds [https://conwaylife.com/forums/viewtopic.php?p=223993#p223993 low population] and [https://conwaylife.com/forums/viewtopic.php?p=224036#p224036 high-clearance] variants.<br /> * '''January 11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=223859#p223859 constructs] [[silk moth]], a (15,11)c/107 caterpillar-type spaceship using a reaction in which an [[I-heptomino]] non-destructively crawls along a glider wave while emitting an extra glider and leaving behind a block.<br /> * '''January 10''': [[Anivec]] [https://conwaylife.com/forums/viewtopic.php?p=223840#p223840 discovers] a new H-to-R [[conduit]], HL150R, with a repeat time of 108 ticks.<br /> * '''January 4''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=223596#p223596 constructs] a [[Unidimensional spaceship 2|significantly reduced unidimensional spaceship]] that is over 4 times smaller and 4 times faster than the original.<br /> * '''January 1''': The [[much smaller (34,7)c/156 spaceship]] wins the 2024 [[Pattern of the Year]] competition.<br /> <br /> ==2025==<br /> * '''December 27''': A five-month-long collaboration concludes when [[vilc]] successfully [https://conwaylife.com/forums/viewtopic.php?p=223246#p223246 synthesizes] the final 23-bit [[still life]] for which no glider synthesis was known; a recipe is now available for all 1,646,147 [[strict still life]]s with 23 bits.<br /> * '''December 23''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=223059#p223059 assembles] [[giraffe weevil]], a [[self-supporting]] (28,7)c/448 [[giraffeship]], using a spine made of xWSS convoys that are arranged to release a glider whenever they encounter a block, while moving the block by (7,-28); this mechanism supports limited [[slow salvo]] construction equivalent to the arrangements of loaves in a [[Caterloopillar]], but allows for oblique rather than orthogonal travel.<br /> * '''December 20-21''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=222948#p222948 builds] two [https://conwaylife.com/forums/viewtopic.php?p=223006#p223006 &quot;fleet puller&quot;] [[growing spaceship]]s, where the tail end pulls a [[fleet]] along with it two diagonal steps at a time, if the fleet is present; otherwise a blinker is alternately created and destroyed.<br /> * '''December 19''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=222911#p222911 constructs] a very compact [[traffic jam]] signal injector based on the [[syringe]], with the same low [[repeat time]] (78 ticks, overclockable to 74 ticks but not 75 since traffic jam wicks are period 2).<br /> * '''December 17-19''': [[qqd]] [https://conwaylife.com/forums/viewtopic.php?p=222856#p222856 creates] a stable [[Heisenburp]] device with a repeat time of 837 ticks that can detect passing [[solifuge]] spaceships -- or [[waterbear]]s or other oblique spaceships that use the same technology to turn LWSS streams 90 degrees at a corner. ElijahKen subsequently [https://conwaylife.com/forums/viewtopic.php?p=222920#p222920 reduces] the [[repeat time]] to 597 ticks.<br /> * '''December 14-21''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=222700#p222700 discovers] a &quot;wave minstrel&quot;, a [[(2,1)c/6]] [[tagalong]] for [[Sir Robin]] that supports a connection to [[knightwave]] -- followed a week later by [https://conwaylife.com/forums/viewtopic.php?p=222977#p222977 another] completely new [[minstrel]]; these are the first new minstrel tagalongs since the [[baby minstrel]] appeared in {{year|2023}}. Both of them are tagalongs to the wandering minstrel, with initial sections that are different from each other and also from the connecting minstrel.<br /> * '''December 10''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=222522#p222522 builds] a [[stable]] MWSS-to-HWSS [[hammer]] (a device made only from stable circuitry that converts an MWSS directly into an HWSS) in response to a construction challenge.<br /> * '''December 10''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=222545#p222545 builds] an &quot;exponentially spaced binary counter&quot; in response to a construction challenge.<br /> * '''December 9''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=222483#p222483 constructs] a gun for a [[solifuge]] variant based on glider syntheses by [[hibiscus]], [[iNoMed]], and Goldtiger997. This is by far the smallest known gun for an [[oblique spaceship]].<br /> * '''December 2-7''': [[Nora Brown]] constructs &quot;[[solifuge]]&quot; camelships with greatly reduced [https://conwaylife.com/forums/viewtopic.php?p=222287#p222287 bounding box] (with [https://conwaylife.com/forums/viewtopic.php?p=222342#p222342 slight additional reduction] by [[Elijah Ken]]) and [https://conwaylife.com/forums/viewtopic.php?p=222422#p222422 population] using improved (12,4)c/62 technology; the new designs fit inside a minimal bounding box of {{times|315|287}} and have a minimum population of 1415 respectively.<br /> * '''December 2''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=222136#p222136 completes] a [[Unidimensional spaceship 1|unidimensional spaceship]] with a speed of 2c/133076755768 and a bounding box of {{times|1|3707300605}} based on preliminary work by many other contributors.<br /> * '''December 1''': [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=7111 voting begins] for the [[Pattern of the Year]] 2024 competition. Users have until the end of December to cast their votes.<br /> * '''November 30''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=222000#p222000 constructs] a complete [[self-supporting]] [[Solifuge|(12,4)c/62 spaceship]], named &quot;solifuge&quot;, based on an oblique [[crawler]] made up of four copies of a versatile [[LOM]]-based reaction; the spaceship is a tiny fraction of the size of previously known [[camelship]]s.<br /> * '''November 29''': [[branoc]] [https://conwaylife.com/forums/viewtopic.php?p=221972#p221972 builds] a new &quot;B2D&quot; unit -- a two-dimensional memory storage mechanism used by [[APGsembly]]-based calculators -- using components from [https://conwaylife.com/forums/viewtopic.php?p=214963#p214963 enofet's design] and [https://conwaylife.com/forums/viewtopic.php?p=214883#p214883 EvinZL's boat reactions].<br /> * '''November 28''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=221926#p221926 completes] the first-ever signal loop containing a segment of 5c/9 wire, combining previous discoveries by [[Extrementhusiast]], [[Simon Ekström]], and [[Entity Valkyrie]].<br /> * '''November 24''': [[PK22]] [https://conwaylife.com/forums/viewtopic.php?p=221791#p221791 updates] the original [[Thessalonic Demonoid]] to be fully Thessalonic (circuitry entirely made from eaters and blocks, with no temporary Snarks at any stage).<br /> * '''November 18''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=221591#p221591 discovers] a period-14 [[pipsquirter]] using a [[drifter]] reaction by [[Adam P. Goucher]].<br /> * '''November 1-11''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=220821#p220821 confirms] that [[70P5H2V0]] is the only strict, symmetric, even-width, period-5 2c/5 orthogonal spaceship up to 70 cells, simultaneously showing that [[30P5H2V0]] and [[34P5H2V0]] are the only period-5 2c/5 orthogonal spaceships up to 35 cells. Amling later [https://conwaylife.com/forums/viewtopic.php?p=221244#p221244 extends] these results to show that there are exactly three symmetric, even-width, period-5 2c/5 spaceships up to 74 cells and no additional period-5 2c/5 spaceships up to 37 cells.<br /> * '''November 5''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=221123#p221123 discovers] [[Hilton's p66]] via D8_1-symmetric [[apgsearch]]. This is the first period-66 oscillator to occur [[seminatural]]ly<br /> * '''November 3''': [[qqd]] [https://conwaylife.com/forums/viewtopic.php?p=220926#p220926 finds] a direct conversion mechanism using only stable [[catalyst]]s, with a [[glider]] input and [[traffic jam]] output.<br /> * '''October 27''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=220431#p220431 confirms] that [[mazing]] and [[mold]] are the only period-4 oscillators up to 17 cells.<br /> * '''October 26''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=220366#p220366 discovers] a period-2 Rx130 [[Herschel conduit]] using only catalysts more [[Most_common_objects_on_Catagolue|common]] than [[eater 1]] and constructs a common-catalyst Herschel loop using this new conduit along with [[R64]], [[sidesnagger]], and a boat-and-toad glider eater.<br /> * '''October 26''': The [[Golly Gang]] [https://conwaylife.com/forums/viewtopic.php?p=220354#p220354 releases] Golly 5.0.<br /> * '''October 22-26''': [[Mitchell Riley]] [https://gitlab.com/mvr2/apgmera/-/commit/a6b0dff94cd8fe786ebf859cb742e5d2b6a2a35b implements] the remaining GPU symmetries for [[apgsearch]] (fourfold rotational and all reflectional types with diagonal lines of symmetry). Using this, [[siffrin normal]] [https://conwaylife.com/forums/viewtopic.php?p=220358#p220358 discovers] new oscillators of periods 7 and 8.<br /> * '''October 23''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=220160#p220160 substantially improves] a heuristic originally developed by [[Mitchell Riley]] for quickly identifying [[ash]] patterns containing objects from a desired list without triggering false positives from common objects.<br /> * '''October 20''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=220019#p220019 completes] a period-3 [[bouncer]] based on a partial result by [[James Pascua]]. This is the first fast period-3 [[colour-changing]] reflector to be found.<br /> * '''October 18''': [[PK22]] [https://conwaylife.com/forums/viewtopic.php?p=219897#p219897 completes] a [[Thessalonic Demonoid]], the first self-constructing spaceship with permanent circuitry that consists only of eaters and blocks.<br /> * '''October 17''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=219840#p219840 discovers] a small period-4 HWSS-to-B-heptomino converter and uses this to construct a compact period-8 HWSS reflector.<br /> * '''October 5-13''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=219697#p219697 confirms] that the [[glider]], [[crab]], and [[wings]] are the only period-4 c/4 diagonal spaceships up to 27 cells.<br /> * '''October 9''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=219505#p219505 discovers] a 6-glider [[glider synthesis|synthesis]] for [[fuse with two long tails]], proving that every 12-bit still life can be synthesised with 6 or fewer gliders.<br /> * '''October 4''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=219224#p219224 confirms] that [[pseudo-barberpole]] is the only period-5 oscillator up to 15 cells.<br /> * '''October 4''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=219193#p219193 builds] a [[sawtooth]] pattern with a new front-end speed, [[c/8 diagonal]], based on two streams of gliders from c/12 forward rakes repeatedly catching up to a [[walrus]].<br /> * '''September 23-October 4''': [[PK22]] [https://conwaylife.com/forums/viewtopic.php?p=218791#p218791 constructs] [[gliderless]] guns for [[LWSS on HWSS 3]], [[MWSS on MWSS 1]], [[Coe ship]], [[loafer]], and [[2-engine Cordership]]. These are the first known gliderless guns for non-[[standard spaceship|standard]] spaceships.<br /> * '''September 26''': [[Luka Okanishi]] [https://conwaylife.com/forums/viewtopic.php?p=218702#p218702 builds] a [[splitter]] for a specific triplet of gliders with a [[repeat time]] of 57, one tick smaller than the record set by Entity Valkyrie on September 7.<br /> * '''September 21''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=218322#p218322 produces] the first known gliderless [[sawtooth]] pattern, involving streams of [[LWSS]] pairs chasing a [[turtle]].<br /> * '''September 2-15''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=217959#p217959 further reduces] the [[Leaf_bug_2#Gun|leaf bug]] gun to a bounding box of {{times|82,038|71,679}}, which is more than an order of magnitude reduction in each dimension relative to the original design.<br /> * '''September 10''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=217747#p217747 discovers] SW28T249, a new and surprisingly simple [[Spartan]] Herschel-to-glider [[converter]] with a [[repeat time]] of 249 ticks.<br /> * '''September 7''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=217567#p217567 constructs] a stable duplicator for the LWSS-on-LWSS [[pseudo]]-spaceship with a repeat time of 58 ticks. This is now the lowest known repeat time for a stable duplicator of a moving object or pseudo-object, being 3 ticks lower than [[speed tunnel]]-based glider duplicators.<br /> * '''August 29''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=216920#p216920 reduces] the [[leaf bug 2#Gun|leaf bug gun]] from a bounding box of {{times|1,097,252|829,150}} to a bounding box of {{times|124,834|117,922}}.<br /> * '''August 18-22''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=7031 starts a new thread] to track the remaining unsynthesized 23-bit strict still lifes. Progress is being made with a mix of approaches (e.g., new custom components to convert an already synthesized still life to one of the target forms, and also adaptations of soup-search results). An early list of 591 unsolved still lifes was reduced to below 450 as of August 22, and to 222 by September 10.<br /> * '''August 14''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=216063#p216063 constructs] a gun for a variant of [[leaf bug 2]]. This is the first gun to fire a 31c/240 orthogonal spaceship.<br /> * '''August 10''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=215877#p215877 discovers] three closely related 2c/7 orthogonal spaceships, two of them bilaterally symmetric, based on a front end by [[shuich01]]. In terms of their {{times|23|28}} bounding box, they are tied as the third smallest known 2c/7 spaceships, after [[weekender]] and [[doo-dah]].<br /> * '''August 5''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=215632#p215632 further reduces] the repeat time of the [[2c/3 wire|2c/3]] receiver to 504 ticks.<br /> * '''August 1-2''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=215428#p215428 reduces] the repeat time of the [[2c/3 wire|2c/3]] receiver to 629 ticks using a new emitter which releases a glider and a [[Herschel]]; [https://conwaylife.com/forums/viewtopic.php?p=215500#p215500 the next day], [[Entity Valkyrie 2]] improves the repeat time to 570.<br /> * '''July 26''': [[Dmitry Maitak]] and [[Chris857]] [https://conwaylife.com/forums/viewtopic.php?p=215098#p215098 complete] a synthesis of a 15WSS supported by [[pushalong 1]]. This is the longest [[overweight spaceship]] flotilla synthesized so far.<br /> * '''July 24''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=215056#p215056 completes] a proof that all [[overweight spaceship]] flotillas consisting of a single overweight spaceship supported on each side by a single [[standard spaceship]] can be synthesised. This proof relies on earlier work by [[Mark Niemiec]], [[David Buckingham]], [[Dieter Leithner]], [[Martin Grant]], and [[Evin]].<br /> * '''July 23-25''': [[Goldtiger997]] and [[KtT]] [https://conwaylife.com/forums/viewtopic.php?p=215037#p215037 complete] a synthesis for [[35P4H1V1]] in 41 gliders. This was the last known unsynthesised spaceship up to 35 bits, and [https://conwaylife.com/forums/viewtopic.php?p=215062#p215062 leaves] 8 known ships up to 37 bits that are currently unsynthesised.<br /> * '''July 20''': [[Goldtiger997]] and [[KtT]] [https://conwaylife.com/forums/viewtopic.php?p=214835#p214835 complete] a synthesis for the previously unbuildable [[37P4H1V1.2]], in 49 gliders.<br /> * '''July 19''': [[enofet]] [https://conwaylife.com/forums/viewtopic.php?p=199849#p199849 posts] a revised 2D memory storage device, capable of being plugged in to calculator mechanisms in place of the much larger and slower 'SQ' unit in [[Osqrtlogt]], which was constructed with 2010-era technology (no [[syringe]]s and no [[Snarks]]).<br /> * '''July 17''': New contributor [[enofet]] [https://conwaylife.com/forums/viewtopic.php?p=214731#p214731 completes] a period-67108864 (2&lt;sup&gt;26&lt;/sup&gt;) gun for c/11 Speed Demonoids -- definitely the first gun created for a c/11 spaceship!<br /> * '''July 14''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=214543#p214543 completes] a 139-glider synthesis for a 42-cell [[c/3]] spaceship, [[42P3H1V0]]; this is the first new c/3 spaceship synthesized since 2022.<br /> * '''July 12''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=214481#p214481 constructs] the final step of a [[glider synthesis|synthesis]] for [[34P5H2V0]], and [[vilc]] subsequently [https://conwaylife.com/forums/viewtopic.php?p=214483#p214483 completes] the synthesis in 52 gliders (since reduced to 40 gliders). With a minimum population of 34 cells, 34P5H2V0 was the smallest known spaceship without a known glider synthesis. This leaves [[35P4H1V1]] and a [https://conwaylife.com/forums/viewtopic.php?p=202880#p202880 handful] of [[overweight spaceship]] [[flotilla]]s as the current smallest known unsynthesised spaceships.<br /> * '''July 10''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=214373#p214373 discovers] a new elementary Herschel conduit, the third conduit with an &quot;F150&quot; rating; it has a [[repeat time]] of 136, due to using the Herschel's first natural block for cleanup rather than suppressing it.<br /> * '''July 9''': [[David Bell]] uses a [https://conwaylife.com/forums/viewtopic.php?p=214345#p214345 new backward Cordership rake] to [https://conwaylife.com/forums/viewtopic.php?p=214346#p214346 improve the minpop record] for a [[moving sawtooth]] from 540 cells to 374.<br /> * '''July 3-11''': [[Dmitry Maitak]] and [[Chris857]] [https://conwaylife.com/forums/viewtopic.php?p=214066#p214066 reduce] [https://conwaylife.com/forums/viewtopic.php?p=214120#p214120 four] [https://conwaylife.com/forums/viewtopic.php?p=214423#p214423 remaining] 13-glider syntheses to prove that all 16-bit still lifes can be synthesised with 12 or fewer gliders.<br /> * '''June 21''': [[Gustone]] makes adjustments to [[leaf bug 2]] to set separate new records in population ({{times|13179|6698}} at 24757 cells) and bounding box ({{times|12927|6576}} at 24814 cells); a further adjustment improves on both of those records, reaching {{times|12415|6315}} with population 24460. <br /> * '''June 7-14''': A further set of design improvements allows [[Gustone]] to [https://conwaylife.com/forums/viewtopic.php?p=213261#p213261 complete] the [[leaf bug 2]], a record-breaking small macro-spaceship by any metric -- smaller than the [[0hd Demonoid]] in population (26571 vs. 27250) and smaller than the [[water strider]] in bounding box ({{times|13339|7107}} vs. {{times|14023|7309}}).<br /> * '''June 1''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=212696#p212696 constructs] an adjustable-period [[Cordership]]-based puffer with a new record minimum population of 249 cells.<br /> * '''May 28-29''': [[shuich01]] [https://conwaylife.com/forums/viewtopic.php?p=212476#p212476 discovers] the first width-25 [[gutter]]-symmetric 2c/7 spaceship. This is the minimum possible width for a period-7 2c/7 ship with this symmetry type. [[iNoMed]] subsequently combines a component from this ship with older 2c/7 components to [https://conwaylife.com/forums/viewtopic.php?p=212506#p212506 construct] an asymmetric ship which, in terms of its minimum population of 123 cells, is the smallest known 2c/7 ship that does not involve a [[weekender]].<br /> * '''May 21''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=212197#p212197 discovers] [[Blackjack]], a 40-celled 'almost-glide-symmetric' p21 oscillator whose two parts shift a block diagonally in opposite directions with uneven phase shifts, similar to [[David Hilbert]].<br /> * '''May 18''': [[b3s23love]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1452&amp;p=212110#p212110 creates] a {{times|13|13}} &quot;artificial soup&quot; producing a [[2-engine Cordership]] together with debris; the previous predecessor with the smallest bounding box was {{times|14|14}}.<br /> * '''May 15-17''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=6258&amp;p=211965#p211965 modifies] [[sawtooth 195]] (the smallest known sawtooth by bounding box at {{times|62|56}}) to start at {{times|57|55}}. Entity Valkyrie, David Bell and EvinZL reduce this to a [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=6258&amp;p=212057#p212057 final bounding box] of {{times|48|50}}.<br /> * '''May 14''': [[Mitchell Riley]] uses a different hack to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3267&amp;p=211900#p211900 find] 1558 new 2-glider still life conversion components, and 14608 3-glider components; upon running the transfer.py script, this is expected to reduce a significant number of syntheses.<br /> * '''May 11''': [[Mitchell Riley]] uses a hacked [[QuFince]] fork to discover [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3267&amp;p=211748#p211748 reductions to various syntheses], most notably {{LinkCatagolue|xp2_g8og806hbqicz122643|name=paperclip quad|style=raw}} 10G-&gt;8G, [[Cyclic]] 9G-&gt;8G, [[cha cha]] 12G-&gt;10G, {{LinkCatagolue|xp2_gs2ib8bi2sgz2egjk4kjge2zy0101|name=scrubber with four covers|style=raw}} 23G-&gt;16G, and {{LinkCatagolue|xp2_084ob8q4ggz114b2q342|name=square on four griddles|style=raw}} 28G-&gt;20G.<br /> * '''March 9 - May 16''': Nick Poyntz ({{LinkCatagolue|xs52_br0raar0rbzqr0raar0rq|name=in Catagolue comments|style=raw}}) finds a 50-glider synthesis for quadruple eater 2 (a patch of the [[tablecloth]]), which DroneBetter, PK22 and KtT successively reduce to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3267&amp;p=212010#p212010 28 gliders].<br /> * '''April 16''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=210054#p210054 reduces] a previous population-624 moving sawtooth to produce a variant with a repeating minimum population of 584.<br /> * '''April 12''': [[Shuich01]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=209777#p209777 discover] a small [[lobster]] tagalong. This gives the first new period-7 c/7 diagonal spaceship since 2011.<br /> * '''April 6-7''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=209381#p209381 constructs] a [[sawtooth]] with a new record minimum repeating population of 168 cells.<br /> * '''April 3''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=209209#p209209 sets another new record] for the smallest known unsynthesizable still life, now down from 162 cells to 154 cells, with a [[Unique_father_problem#Reductions|self-forcing patch]] containing 251 cells instead of 272 cells.<br /> * '''April 1''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=209042#p209042 constructs] a &quot;corner [[highway robber]]&quot;, a new design where gliders coming from two possible perpendicular directions are detected by the same bait beehive.<br /> * '''April 1''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=208915#p208915 constructs] the first 2c/5 orthogonal [[Greyship#Types_of_greyships|against-the-grain greyship]]. Although this greyship uses patches of with-the-grain stripes, it differs from the hybrid greyship in that all with-the-grain patches have a bounded size, while the against-the-grain patch can be made arbitrarily large.<br /> * '''March 26''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=208144#p208144 discovers] the first [[gun#True-period_guns|true]] period-18 glider gun, based on a partial result by [[Period1GliderGun]]<br /> * '''March 22''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=207651#p207651 discovers] the first period-14 [[independent reflector]], based on a partial result by [[James Pascua]] and [[Matthias Merzenich]].<br /> * '''March 21''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=207549#p207549 discovers] the first period-15 [[independent reflector]], based on a partial result by [[James Pascua]].<br /> * '''March 16''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=207054#p207054 discovers] the first [[gun#True-period_guns|true]] period-14 glider gun. This is the smallest possible gun period.<br /> * '''March 11''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=206535#p206535 constructs] a hybrid 2c/5 [[greyship]]. This is the first 2c/5 greyship with an extensible [[against-the-grain]] section.<br /> * '''March 4''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=205815#p205815 discovers] a [[period-47 glider gun]] based on a partial result by [[Caleb R. Hilton]] that is 85% smaller than the previous record holder.<br /> * '''February 23''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=205012#p205012 reduces] the bounding box of the [[period-35 glider gun]] significantly, using [[LLS]] to find smaller component p5 and p7 sparkers.<br /> * '''February 20''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=204578#p204578 discovers] a record-breaking small [[period-60 glider gun]] which, after being combined with a p8 [[filter]] and [https://conwaylife.com/forums/viewtopic.php?p=204593#p204593 reduced] by [[iNoMed]] and [[hotcrystal0]], gives a [[true period]] p120 glider gun that is smaller than the true-period single-barreled [[Simkin glider gun]].<br /> * '''February 17''': [[Chris Rowett]]'s [[LifeViewer]] [https://conwaylife.com/forums/viewtopic.php?p=204244#p204244 celebrates] its ten-year anniversary.<br /> * '''February 11-20''': Manual and semi-manual searches, as well as search programs like Mitchell Riley's [[LightCone]], continue to turn up new [[Spartan]] conduits such as [https://conwaylife.com/forums/viewtopic.php?p=203970#p203970 HL226B], [https://conwaylife.com/forums/viewtopic.php?p=203694#p203694 HF78B], and [https://conwaylife.com/forums/viewtopic.php?p=204585#p204585 HLx86B]; some of these are fairly compact and potentially useful in [[self-constructing]] circuitry, since they fill long-standing holes in toolkits used for adjusting timing parity and/or output color.<br /> * '''February 12''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=203792#p203792 discovers] the first 2c/5 orthogonal chicken wire [[greyship]].<br /> * '''February 8''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=203442#p203442 constructs] a record-breaking small period-80 HWSS gun based on a new p80 R-pentomino hassler by [[Caleb R. Hilton]]. This gun has the unusual property of being [[gliderless]].<br /> * '''February 7''': [[Matthias Merzenich]] uses [[Logic Life Search]] to reduce the [[p28 glider gun]], making it the tenth period with a true-period gun smaller than the single-barreled [[Simkin glider gun]].<br /> * '''February 6''': [[Matthias Merzenich]] uses [[Logic Life Search]] to [https://conwaylife.com/forums/viewtopic.php?p=203178#p203178 complete] a single-engine p57 glider gun based on a partial result by [[ElijahKen]]. Subsequent reductions by Merzenich, ElijahKen, [[iNoMed]], and [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=203255#p203255 result] in a single-engine gun that is 45% smaller than the previous 2-engine gun.<br /> * '''February 3''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=203003#p203003 discovers] and [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=203014#p203014 synthesises] a new 32-cell 2c/4 orthogonal spaceship.<br /> * '''February 1''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=202848#p202848 synthesises] LWSS pulling [[Unnamed tagalong 23P4H2V0]]. At 32 cells, this was the smallest known spaceship without a previously known glider synthesis.<br /> * '''January 29-31''': A flurry of activity [https://conwaylife.com/forums/viewtopic.php?p=202752#p202752 produces] a transparent-loaf-themed [[highway robber]] with record-breaking recovery time of 550 ticks, [[overclocking|overclockable]] to 537-544, with a suggested mechanism by [[Tawal]] and contributions by [[Louis-François Handfield]], [[Caleb R. Hilton]], [[confocaloid]], [[EvinZL]], and [[Entity Valkyrie]].<br /> * '''January 31-February 2''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=202694#p202694 invents] a novel mechanism for a new 31c/240 self-supporting spaceship, the [[water strider]]; over the next few days, the bounding box is then gradually reduced by more than half.<br /> * '''January 28''': [[TigerCub414]] [https://conwaylife.com/forums/viewtopic.php?p=202525#p202525 discovers] a 19-glider [[synthesis]] for [[32P4H2V0]]. This leaves LWSS pulling [[Unnamed tagalong 23P4H2V0]] as the only currently known spaceship up to 32 cells without a known glider synthesis.<br /> * '''January 18''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=201924#p201924 discovers] a new record smallest-population unsynthesizable still life, population 162, with 271 specified cells in the self-forcing patch (124 ON, 147 OFF); this exactly ties the previous [https://conwaylife.com/forums/viewtopic.php?p=193510#p193510 271-cell record] for total specified cells.<br /> * '''January 18''': An apgsearch haul by 'ASA-X Supercomputer' contains the [https://conwaylife.com/forums/viewtopic.php?p=201903#p201903 first natural appearance] of [[long^9 snake]] from an asymmetric soup, almost a decade after the first occurrence of [https://catagolue.hatsya.com/object/xs14_31248gzy21248go/b3s23 long^8 snake] which currently has two dozen C1 occurrences.<br /> * '''January 18''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=201885#p201885 uses] a [https://catagolue.hatsya.com/object/xp30_9f9zbrby18sq36z232xgwgzy0rgc77cgr/b3s23 small period-30 sparker] to reduce the areas of the classic [[period-690 glider gun]] and the [https://catagolue.hatsya.com/object/guntrue_360/b3s23 period-360 glider gun] by double-digit percentages.<br /> * '''January 8''': [[Frank Everdij]] [https://conwaylife.com/forums/viewtopic.php?p=201352#p201352 discovers] [[tarantula]], a [[c/5 orthogonal]] [[spaceship]] which, in terms of its minimum population of {{cells|58}} cells, is tied with [[spider]] as the smallest known spaceship of this speed.<br /> <br /> ==2024==<br /> * '''December 31''': [[blah]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=6808 posts a complete package] containing a 32-bit computer implemented in Conway's Life -- the &quot;323&quot; -- along with an assembler script, example programs, extensive HTML documentation and an MP4 introductory video. (!)<br /> * '''December 30-31''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=200626#p200626 constructs] an activation step for a [[synthesis]] of the c/5 orthogonal spaceship [[Kermit]]. [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=200713#p200713 completes] a 343-glider synthesis through a collaborative effort with several other users.<br /> * '''December 27''': [[Gustone]] [https://conwaylife.com/forums/viewtopic.php?p=200488#p200488 completes] the [[leaf bug]], a record-breaking new self-supporting 31c/240 spaceship with a smaller population (though larger bounding box) than the previous record-holding self-supporting spaceship (the [[waterbear]]).<br /> * '''December 23''': Rei posts an [[APGsembly]] program that calculates and displays in the Life universe a [https://conwaylife.com/forums/viewtopic.php?p=200299#p200299 plot of the Mandelbrot set].<br /> * '''December 18-23''': [[Tim Coe]] [https://conwaylife.com/forums/viewtopic.php?p=200083#p200083 reduces] the size of the smallest sawtooth-based diehard from [https://conwaylife.com/forums/viewtopic.php?p=169143#p169143 53&amp;times;53] to 49&amp;times;49, [https://conwaylife.com/forums/viewtopic.php?p=200295#p200295 reduced again] several days later to 47&amp;times;47 by b3s23love; the resulting diehard's lifespan is much smaller than the 53&amp;times;53 diehard's lifespan of 1826659985823844806 ticks -- i.e., the new lifespan of 1237975907532 ticks is only a record for the new reduced bounding box size.<br /> * '''December 18''': [[User:Confocal|confocaloid]] [https://conwaylife.com/forums/viewtopic.php?p=200067#p200067 constructs] a [[Racetrack_(disambiguation)|racetrack]] oscillator showcasing a diagonal 5c/26 [[biblock]] [[wire]]; the wire is supported by an extensible p4 sparker found by Keith Amling [https://conwaylife.com/forums/viewtopic.php?p=190922#p190922 in July].<br /> * '''December 14''': A significantly improved compiler and emulator package for [[APGsembly]] version 2 is [https://conwaylife.com/forums/viewtopic.php?p=199807#p199807 posted] by new contributor [https://conwaylife.com/forums/memberlist.php?mode=viewprofile&amp;u=3758 branoc], with new optimized arithmetic components, sample code and documentation.<br /> * '''December 11''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=199619#p199619 completes] a very high-clearance period-7 middleweight sparker based on a partial result by [[hotcrystal0]].<br /> *'''December 5''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=199295#p199295 completes] the first [[true-period|true]] [[period-35 glider gun]] based on a partial result by [[iNoMed]] and [[hotcrystal0]].<br /> *'''November 18''': [[Anivec]] [https://conwaylife.com/forums/viewtopic.php?p=198122#p198122 discovers] a small, direct [[H-to-MWSS]] conduit with a repeat time of 141 ticks. [[Period1GliderGun]] and [[Lucy D'Agostino]] [https://conwaylife.com/forums/viewtopic.php?p=198142#p198124 subsequently] [https://conwaylife.com/forums/viewtopic.php?p=198137#p198137 find] variants that reduce the repeat time to 120 ticks.<br /> * '''November 3''': [[Lucy D'Agostino]] [https://conwaylife.com/forums/viewtopic.php?p=197214#p197214 discovers] a new set of connectable Spartan converters with [[E-heptomino]] inputs, further expanding the set of [https://conwaylife.com/forums/viewtopic.php?p=197272#p197272 known E-heptomino conduits].<br /> * '''November 2''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=197089#p197089 finds a way] to use stable catalysts to make a p2 [[traffic jam]] [[wire]] turn a 90-degree corner with no help from [[sparker]]s.<br /> * '''October 28-30''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=196777#p196777 builds] the first known [[true]] [[period-47 glider gun]] based on a partial result by [[iNoMed]], after which the [[bounding box]] is reduced by more than a factor of four by several contributors over the next two days, from 311 &amp;times; 289 down to [[Luka Okanishi]]'s [https://conwaylife.com/forums/viewtopic.php?p=196889#p196889 greatly simplified design] at 147 &amp;times; 144.<br /> * '''October 20''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=196315#p196315 completes] a redesigned [[Unnamed (34,7)c/156 spaceship|(34,7)c/156 spaceship]] with a bounding box of (52514, 158980) and minimum population of 655,594; this is less than 1/38th of the population and less than 1/6000th of the area of the previous version of this spaceship constructed by [[Luka Okanishi]] last year. <br /> * '''October 10''': [https://conwaylife.com/forums/search.php?author_id=2896&amp;sr=posts Anivec] [https://conwaylife.com/forums/viewtopic.php?p=195741#p195741 rebuilds] an initial stage from Mitchell Riley's H-to-Gs into a [[Herschel]]-to-[[B-heptomino]] converter; [[Lucy D'Agostino]] [https://conwaylife.com/forums/viewtopic.php?p=195743#p195743 notices] that this is actually a known [[E-heptomino]] converter appended to a previously unknown Herschel-to-E converter, [[HRx93E]] -- which enables completely new Spartan Herschel conduits [[Rx155]] and [[R194]], among other things.<br /> * '''October 10''': [[Mitchell Riley]]'s &quot;[[LightCone]]&quot; search program [https://conwaylife.com/forums/viewtopic.php?p=195724#p195724 finds] several new Spartan [[Herschel]]-to-[[glider]] converters.<br /> * '''October 9''': [[Chris857]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1155&amp;p=195651#p195651 finds] a synthesis for [[popover]].<br /> * '''October 9''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=195696#p195696 adapts] Kazyan's [[B29]] spaceship recipe to construct a period-84 gun, with a considerable reduction in size and period from the previous B29 gun (which was period 148).<br /> * '''October 9''' [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=195663#p195663 reduces] the glider construction recipe for the [[B29]] spaceship to 16 gliders, with an improvement to 15G by [[User:DroneBetter|DroneBetter]].<br /> * '''October 7-8''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=195564#p195564 assembles] an adjustable-period oblique [[spaceship]] based on [[(2,1)c/6]] puffers and rakes, alternately building and then burning a (4, 2)c/6 [[bi-block]] [[fuse]]; the next day the spaceship is [https://conwaylife.com/forums/viewtopic.php?p=195607#p195607 upgraded] to an adjustable-period 48+24N [[forerake]].<br /> * '''October 4''': [[Alex Greason]] finds a large number of [https://conwaylife.com/forums/viewtopic.php?p=195565#p195565 reduced-cost glider syntheses] by running an exhaustive search in &quot;QuSrc&quot; (a custom-modified version of [[QuFince]]) to inspect all possible 5-glider collisions with glider placements in a 15x15 bounding box.<br /> * '''September 30''': AlphaPhoenix posts a [https://www.youtube.com/watch?v=g8pjrVbdafY YouTube video] walking through the process of starting with an arbitrary 16x13 target pattern and finding a 20-step [[predecessor]] of it; 20 steps might be the current record for an [https://conwaylife.com/forums/viewtopic.php?p=196293#p196293 arbitrary pattern of this width] -- though AlphaPhoenix's chosen pattern was a p2 oscillator, so a very large number of trivial predecessors are known for that specific pattern for any backtracking depth.<br /> * '''September 26''': [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=194858#p194858 notices] that a [[catalyst]] used in one of [[Simon Ekstrom]]'s [https://conwaylife.com/forums/viewtopic.php?p=190878#p190878 H-to-Gs from July 29] solves a very long-standing limitation of the stable [[F171]] conduit, reducing its [[repeat time]] from 227 ticks to as low as 120.<br /> * '''September 14''': [[Mitchell Riley]] finds [[Lx65 duplicator]], a record-breaking elementary [[Herschel]] [[fanout device]] -- a [https://conwaylife.com/wiki/Lx65#Stable_Spartan_catalyst stable Spartan variant] of the known [[Lx65]] conduit, which until now has generally needed sparker support.<br /> * '''September 4''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=193512#p193512 makes available] (via a published script) a general synthesis method for all members of the [[Clock#Extensibility|long&lt;sup&gt;N&lt;/sup&gt; clock]] family of p2 oscillators.<br /> * '''September 2-4''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=193366#p193366 discovers] a population-184 solution to the [[unique father problem]] with a self-forcing patch containing 283 specified (both on and off) cells and fitting in a {{times|16|20}} bounding box, each of these statistics being the smallest known. [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=193510#p193510 notes] that a self-forcing patch with as few as 271 specified cells exists for this still life.<br /> * '''September 1''': The [[Spacefiller#Synthesis|Spacefiller synthesis]] [https://conwaylife.com/forums/viewtopic.php?p=193430#p193430 wins] the 2023 [[Pattern of the Year]] competition.<br /> * '''August 29''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?p=193166#p193166 completes] a new smallest period-74 [[gun]] based on a partial result by [[Mitchell Riley]].<br /> * '''August 26''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=192907#p192907 discovers] a surprising period-96 [[B-heptomino hassler]] that combines the functionality of p45 and p51 hasslers [https://conwaylife.com/forums/viewtopic.php?p=192896#p192896 found] by [[Period1GliderGun]] a day earlier.<br /> * '''August 23''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=192750#p192750 completes] the RCT15 optimization project, reducing the tape length by roughly a factor of three from the first working RCT15 pattern -- and now constructing a working [[spacefiller]] instead of Alan Hensel's decimal counter.<br /> * '''August 19''': After a quick sequence of syntheses by several contributors, [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=192477#p192477 assembles a recipe] for the final unsynthesized 22-bit still life, xs22_8k487p8z39c321; the 22-bit synthesis project is now complete.<br /> * '''August 14-15''': The number of unsynthesized 22-bit still lifes dropped to [https://conwaylife.com/forums/viewtopic.php?p=192069#p192069 only 75] by August 14; by the next day, recipes had been found for more than half of the remaining still lifes.<br /> * '''August 12''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=191930#p191930 constructs] a fully rectangular against-the-grain [[greyship]].<br /> * '''August 1''': Voting [https://conwaylife.com/forums/viewtopic.php?t=6646 begins] for the 2023 [[Pattern of the Year]] contest, with voting set to end at the end of August.<br /> * '''July 31''': [[vilc]] shows an [https://conwaylife.com/forums/viewtopic.php?p=191053#p191053 example] of a compact period-32 [[wire#2c/3 wire|2c/3 wire]] transmitter and receiver.<br /> * '''July 31''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=191044#p191044 proves] that the 140-cell [[statorless p3]] is the unique smallest possible statorless period-3 oscillator in terms of its minimum population.<br /> * '''July 27''': A long-term effort by [[May13]] starting back in January brings the number of unsynthesized 22-bit still lifes down to [https://conwaylife.com/forums/viewtopic.php?p=190727#p190727 below 400], with several people contributing more syntheses since then.<br /> * '''July 26''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=190627#p190627 discovers] [[86P118]], the smallest known period-118 oscillator, based on a partial by [[iNoMed]].<br /> * '''July 16''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=189896#p189896 reduces] the best known [[highway robber]] [[recovery time]] from 742 ticks to 651 ticks.<br /> * '''July 4''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=189015#p189015 improves] the repeat time of the [[wire#2c/3 wire|2c/3 receiver]] from 742 ticks to 708, using a [[bronco]], a [[Jubjub reflector]], and an alternate ship-and-beehive [[bait]] proposed by [[Simon Ekström]].<br /> * '''July 3''': A [https://conwaylife.com/forums/viewtopic.php?p=189000#p189000 recent optimization effort] orchestrated by [[Vort]] [https://conwaylife.com/forums/viewtopic.php?p=186557#p186557 starting in June], with many contributions by [[confocaloid]], [[Louis-François Handfield]], and others, has greatly reduced the maximum and average sizes of guns with four-digit prime periods.<br /> * '''June 30''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=188787#p188787 optimizes] the [[2-engine Cordership]] seed to use 14 objects instead of 15; on the next day the minimum object count is [https://conwaylife.com/forums/viewtopic.php?p=188864#p188864 reduced] from 14 to 12.<br /> * '''June 30''': [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=188784#p188784 completes] a period-66 [[crab]] [[gun]] using a variant of Goldtiger997's crab recipe by [[iNoMed]] that allows for low-period guns; [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=188803#p188803 builds] a period-61 version. <br /> * '''June 28''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=188666#p188666 improves] the cost of synthesizing a [[crab]] (an important component of fast self-constructing circuitry) from 14 gliders to 11.<br /> * '''June 28''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=188652#p188652 constructs] a period-89 [[loafer]] gun based on a very fast synthesis by [[Louis-François Handfield]].<br /> * '''June 27''': [[Goldtiger997]] and [[Entity Valkyrie]] set [https://conwaylife.com/forums/viewtopic.php?p=188611#p188611 new records] for a compact pseudo-period-16 LWSS gun, using an [https://conwaylife.com/forums/viewtopic.php?p=188565#p188565 improved insertion recipe by vilc] from the previous day.<br /> * '''June 27''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=188596#p188596 updates] the digital-clock seed from May, to make it possible to compile it into a [[slow salvo]] using [[pslmake]].<br /> * '''June 21''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=188166#p188166 reworks] the June 11 &quot;loafer bitmap printer&quot; design to use much more compact orthogonal [[MWSS]]-based memory loops.<br /> * '''June 20''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=188020#p188020 constructs] the first gun for [[77P6H1V1|a c/6 diagonal spaceship]] using a synthesis found by [[Goldtiger997]] in January 2024.<br /> * '''June 13''': [[whatislife]] [https://conwaylife.com/forums/viewtopic.php?p=187562#p187562 discovers] a [[stable]] 50-cell, {{times|18|14}} {{LinkCatagolue|xp0_wggy09ghuzwd54czwci96z31h88c1vg7p48czw11x1221|name=135-degree LWSS-to-G|style=raw}} using [https://gitlab.com/apgoucher/silk/ Silk], with an input file similar to the sample input used to re-find the [[Snark]] but with an input LWSS instead.<br /> * '''June 11''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=187367#p187367 completes] a small, nearly edge-shooting glider-to-loafer converter with p154 technology to match the repeat time of the known 8-glider loafer synthesis.<br /> * '''June 10''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=187352#p187352 discovers] (using [[Silk]]) a new [https://conwaylife.com/wiki/Spartan_G-to-W-to-H glider-to-wing conduit], which can be connected to a known wing-to-Herschel conduit to make a [[glider-to-Herschel converter]] with only [[eater 1]]s and [[block]]s.<br /> * '''June 8''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=187167#p187167 posts] a period-10 [[pipsquirter]], made by combining a known period-10 [[Wire#2c/3_wire|2c/3 signal]] injector found by [[Dongook Lee]] [https://conwaylife.com/forums/viewtopic.php?p=187345#p187345 in 2015] with a new 2c/3-signal-to-pipsquirter [[converter]] from recent [[Silk]] searches.<br /> * '''May 29''': [[Hippo.69]] [https://conwaylife.com/forums/viewtopic.php?p=186198#p186198 posts] a [[one-glider seed]] for a complete 24-hour digital clock mechanism.<br /> * '''May 5''': [[Adam P. Goucher]] reports in a new Discord thread the commencement of coding work on [[Silk]], a new CUDA drifter search program inspired by [[Mitchell Riley]]'s [[Barrister]].<br /> * '''April 30''': [[Lucy D'Agostino]] [https://conwaylife.com/forums/viewtopic.php?p=183857#p183857 posts] a modification of a partial [[Herschel]]-to-Herschel converter pointed out by [[Anivec]], producing an easily connectable and completely [[Spartan]] [[L141]] conduit with three output gliders including the [[FNG]] and [[SNG]].<br /> * '''April 19''': [[Nathaniel Johnston]] completes a [https://www.youtube.com/watch?v=eZ9BBcskBjY &quot;Herschel Tracks Tutorial&quot;] YouTube video about creating custom oscillators using Herschel conduits.<br /> * '''April 17''': [[Caleb R. Hilton]] uses [[qfind]] to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=182823#p182823 discover] a new [[c/7 orthogonal]] spaceship that can support a wave [https://conwaylife.com/forums/viewtopic.php?f=9&amp;t=2070&amp;p=38229#p38229 found] by [[Park Shinhwan]]. Furthermore, it can also support various c/7 pushalongs found by [[Matthias Merzenich]] and [[Frank Everdij]].<br /> * '''April 8''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=182059#p182059 constructs] and [https://conwaylife.com/forums/viewtopic.php?p=182092#p182092 refines] a puffer demonstrating that all sufficiently high [[c/4 diagonal]] [[rake]] periods are achievable. [[Matthias Merzenich]] uses this to [https://conwaylife.com/forums/viewtopic.php?p=182134#p182134 construct] a clean p3532+4N rake.<br /> * '''March 31''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=181579#p181579 builds] a complete 2c/3-wire-based [[pseudo-Heisenburp]] device with 742-tick repeat time.<br /> * '''March 27-30''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=181171#p181171 completes] a 2c/3 receiver with a [[repeat time]] of 876 ticks, which [[Adam P. Goucher]] eventually improves to 742 ticks using [[staged recovery]] mechanisms; the previous record-setting receivers needed 964 or 970 ticks to recover.<br /> * '''March 20''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=180679#p180679 discovers] a period-26 [[bouncer]]-based reflector, the first independent reflector of this period, using components by [[Nora Brown]] and [[Dean Hickerson]].<br /> * '''March 19''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=180587#p180587 constructs] new p6 [[c/2 orthogonal]] [[greystretcher]]s in which the stripes are bounded by extended [[table]]s.<br /> * '''March 18''': [[Nathaniel Johnston]] [https://www.youtube.com/watch?v=dfmCyrfxkTM posts a YouTube video] about the discovery of the [[true]] [[period-15 glider gun]] and [[period-16 glider gun]], and the history leading up to those discoveries.<br /> * '''March 17''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=180474#p180474 discovers] the first period-16 90-degree independent [[reflector]] based on a suggestion by [[Matthias Merzenich]], using the [[period-16 glider gun]] to hassle a honey farm predecessor and produce a [[banana spark]]. 90-degree reflectors are known for all periods except 14, 17, and 19 with periods 15, 23, and 26 having only [[dependent reflector]]s.<br /> * '''March 16-17''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=180367#p180367 completes] a new [[c/4 diagonal]] unstable [[puffer engine]] (only the third known puffer engine at this speed) based on a partial result by Matthias Merzenich. [[Caleb R. Hilton]] uses sparkers to [https://conwaylife.com/forums/viewtopic.php?p=180370#p180370 stabilise] the unstable engine into explicit puffers. [[David Bell]] uses this engine to [https://conwaylife.com/forums/viewtopic.php?p=180388#p180388 construct] the first p52 c/4 diagonal rake, and &quot;b3s23love&quot; and Merzenich use it to substantially [https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 reduce] the size of the p108 c/4 diagonal rake.<br /> * '''March 12''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=180119#p180119 discovers] a population-236 solution to the [[unique father problem]] with a self-forcing patch containing 389 specified (both on and off) cells and fitting in a {{times|22|20}} bounding box, each of these statistics being the smallest known.<br /> * '''March 12''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=180102#p180102 completes] the first [[c/4 diagonal]] backward-to-sideways glider reflector using reactions by [[Keith Amling]] and [[Matthias Merzenich]]. Using one of Bell's glider-releasing reactions and a beehive-to-ship converter by Amling, Merzenich [https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 constructs] the first c/4 diagonal p28 rake and demonstrates the existence of rakes at periods 32, 36, and 40.<br /> * '''March 9''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=179932#p179932 shows] that a previously known &quot;double beehive push catalyst&quot; found by Tanner Jacobi in December 2020 can serve as a [[2c/3 wire]] input conduit for either a single wire or two perpendicular wires, with a repeat time of only 100 ticks; [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=179942#p179942 finds a way] to activate the catalyst with a single passing [[Herschel]] with repeat time 176, and [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=179988#p179988 points out] a reset mechanism with a repeat time as low as 56 ticks (eventually reduced to [https://conwaylife.com/forums/viewtopic.php?p=180709#p180709 42 ticks]).<br /> * '''March 1''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=179391#p179391 discovers] the first [[true]] [[period-15 glider gun]] using a [[B-heptomino_hasslers#p15|B-heptomino hassler]] by [[Carson Cheng]] hours after finding the first p16 gun. Period-15 is now the smallest period for which a true-period gun is known.<br /> * '''February 29''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=179363#p179363 discovers] the first [[true]] [[period-16 glider gun]] using [[Charity's p16]] and a [[B-heptomino_hasslers#p16|B-heptomino hassler]] by [[Nora Brown]]. Period-16 is now the smallest period for which a true-period gun is known.<br /> * '''February 26''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=179093#p179093 discovers] a period-6 c/2 [[greystretcher]] in which the stripes are bounded by [[coiled snake]]s.<br /> * '''February 24''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=178897#p178897 completes] a non-period-doubling stabilization of iNoMed's p19 partial, which also allows for a stabilization of the wick. The result is [[goban]], the second known period-19 oscillator. [[EvinZL]] notes that there are two variants with slightly different connection points.<br /> * '''February 23''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=178793#p178793 discovers] that a period-19 partial result by [[iNoMed]] can be completed with a period-doubling catalyst, giving a period-38 oscillator. [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=178803#p178803 notices] that the p19 component can be extended to form a wick.<br /> * '''February 23''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=178796#p178796 discovers] two different [[c/2 orthogonal]] [[wickstretcher|stretchers]] for a pair of [[coiled snake]]s.<br /> * '''February 18''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?p=178449#p178449 notices] that a previously unrecognized pattern by [[Mitchell Riley]] from September 7, 2022 is actually a complete period-171 oscillator and is in fact the smallest known p171 oscillator.<br /> * '''January 29-February 2''': [[Keith Amling]], with some help from [[Matthias Merzenich]], discovers new [[c/4 diagonal]] spaceships ([https://conwaylife.com/forums/viewtopic.php?p=176777#p176777], [https://conwaylife.com/forums/viewtopic.php?p=176789#p176789], [https://conwaylife.com/forums/viewtopic.php?p=177108#p177108]) capable of eating a variety of objects including ships, blocks, boats, beacons, beehives, barges, loaves, tubs, toads, and mangoes. <br /> * '''January 26-28''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=176602#p176602 completes] a 259-[[glider synthesis]] of [[77P6H1V1]], making it the first [[c/6 diagonal]] spaceship to be synthesized.<br /> * '''January 22''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=176315#p176315 discovers] the first [[true-period|true]] [[period-53 glider gun]] based on a partial result by [[goldenratio]].<br /> * '''January 20''': [[Adam P. Goucher]] [https://cp4space.hatsya.com/2024/01/20/every-finite-phoenix-has-period-2/ proves] that every finite [[phoenix]] has period 2.<br /> * '''January 14-15''': [[Keith Amling]] discovers [[c/4 diagonal]] eaters for [https://conwaylife.com/forums/viewtopic.php?p=175711#p175711 blocks] and [https://conwaylife.com/forums/viewtopic.php?p=175747#p175747 blinkers] and uses the block eater to [https://conwaylife.com/forums/viewtopic.php?p=175765#p175765 construct] the first period-40 c/4 diagonal ship. [[David Bell]] and [[May13]] use these to reduce the [https://conwaylife.com/forums/viewtopic.php?p=175776#p175776 p72], [https://conwaylife.com/forums/viewtopic.php?p=175738#p175738 p80], and [https://conwaylife.com/forums/viewtopic.php?p=175767#p175767 p116] [[rake]]s. [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=175754#p175754 notices] that an incidental reaction in the blinker eater allows a known ship to eat a glider stream and can also be used to complete the first c/4 diagonal ships of periods 28, 32, and 36.<br /> * '''January 10-13''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=175654#p175654 proves] that no finite [[phoenix]] oscillators exist at periods 3 through 69.<br /> * '''January 9-12''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=175284#p175284 discovers] and [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=175495#p175495 reduces] the first period-9 [[c/3 orthogonal|c/3]] [[backrake]], the lowest possible period for a c/3 rake. [[May13]], [[Evin]], Merzenich, and Amling use this to construct the first c/3 rakes of periods [https://conwaylife.com/forums/viewtopic.php?p=175304#p175304 18], [https://conwaylife.com/forums/viewtopic.php?p=175309#p175309 63], [https://conwaylife.com/forums/viewtopic.php?p=175312#p175312 99], [https://conwaylife.com/forums/viewtopic.php?p=175358#p175358 117], and [https://conwaylife.com/forums/viewtopic.php?p=175312#p175312 126].<br /> * '''January 9''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=175245#p175245 reduces] the known upper bound on the average [[agar]] [[density]] from 320/559 &amp;asymp; 0.572 to 1176/2087 &amp;asymp; 0.563. The highest average density is conjectured to be 1/2.<br /> * '''January 5''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=1074&amp;p=174903#p174903 discovers] (using [[qfind]]) the first period-9 4c/9 orthogonal spaceship in a [[Life-like cellular automaton]] (B3567/S14578), fitting within a {{times|19|676}} bounding box in one phase.<br /> * '''January 1''': [[Layz Boi]] [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=1074&amp;p=174682#p174682 discovers] (using [[WLS]]) two new p2 lightspeed [[spaceship]]s in [[Life-like cellular automaton|Life-like rules]] containing both B2 and B3 but not B0 or B1, increasing the number of such rules in which spaceships are known to 10 (of the 8192 without S0 that have not been disproved).<br /> <br /> ==2023==<br /> * '''December 26''': [[Goldtiger997]] uses [[QuFince]] to find a 15-glider synthesis for the last remaining 17-bit still life that had cost 16 gliders -- completing the [https://conwaylife.com/forums/viewtopic.php?p=174201#p174201 &quot;17-in-15&quot; project].<br /> * '''December 21-29''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=173858#p173858 finds] a c/4 p80 puffer, which several days later is [https://conwaylife.com/forums/viewtopic.php?p=174473#p174473 cleaned up] by [[David Bell]] (and independently by May13) to produce complete c/4 p80 [[rake]]s. <br /> * '''December 20''': [[Luke Kiernan]] uses [[Barrister]] to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1849&amp;p=173771#p173771 complete] a [[boojum reflector]] variant with a different output glider -- which also implies a new G-to-R based on the [[Herschel receiver]] and a stable 4hd [[lane]] [[shifter]] based on the [[glider stopper]].<br /> * '''December 19-21''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=173671#p173671 discovers] a period-8 [[c/4 diagonal]] [[rake]]. Other users find various applications for this, including [https://conwaylife.com/forums/viewtopic.php?p=173853#p173853 a p72 rake] by [[praosylen]] with a [https://conwaylife.com/forums/viewtopic.php?p=173858#p173858 reduction] by [[May13]] and [https://conwaylife.com/forums/viewtopic.php?p=173906#p173906 filtered] to p144 by [[David Bell]].<br /> * '''December 17''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?p=173506#p173506 discovers] [[Snark64]], a new color-preserving 90-degree [[glider]] [[reflector]] with repeat time 64 -- useful for synchronization problems, since it has a different output [[parity]] from the [[Snark]].<br /> * '''December 16-26''': [[400spartans]] [https://conwaylife.com/forums/viewtopic.php?p=173480#p173480 reduces] the known upper bound on the average [[agar]] [[density]] from 8/13 &amp;asymp; 0.615 to 17/28 &amp;asymp; 0.607. [[NooneAtAll3 ]] [https://conwaylife.com/forums/viewtopic.php?p=174190#p174190 reduces] this further to 320/559 &amp;asymp; 0.572.<br /> * '''December 12''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=173166#p173166 finds] a compact [[glider]] to [[wing]] to [[LWSS]] converter.<br /> * '''December 10''': [[Keith Amling]] proves ([https://conwaylife.com/forums/viewtopic.php?p=172934#p172934], [https://conwaylife.com/forums/viewtopic.php?p=172938#p172938]) that there are no [[phoenix]] oscillators of periods 7, 9, or 11.<br /> * '''December 10''': [[Alex Greason]] [https://conwaylife.com/forums/viewtopic.php?p=172853#p172853 discovers] a 5-glider [[synthesis]] for [[amphisbaena]], proving that all [[:Category:Strict_still_lifes_with_11_cells|11-cell still lifes]] can be synthesized with 5 or fewer gliders.<br /> * '''December 8''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=172734#p172734 discovers] a new type of [[c/5 diagonal]] [[wickstretcher]] for a period-2 wick.<br /> * '''December 2''': [[FWKnightship]] [https://conwaylife.com/forums/viewtopic.php?p=172367#p172367 constructs] a (6,3)c/1024 [[knightship caterpillar]] with an almost completely new support mechanism, re-using only the [[over-unity]] glider production mechanism from the [[half-baked knightship]].<br /> * '''November 29''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=172182#p172182 discovers] a new longest-lasting known [[natural]] [[diehard]], a {{times|16|16}} [[soup]] lasting 1,413 generations before completely dying out, via [[apgsearch]].<br /> * '''November 22''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=171705#p171705 proves] that [[37P4H1V0]] is the unique smallest possible period-4 [[c/4 orthogonal]] spaceship in terms of its minimum population of 37 cells.<br /> * '''November 18-December 2''': David Bell [https://conwaylife.com/forums/viewtopic.php?p=171415#p171415 extends] earlier work on [https://conwaylife.com/forums/viewtopic.php?p=170856#p170856 period-116 c/4 spaceships] and [https://conwaylife.com/forums/viewtopic.php?p=171051#p171051 c/4 rakes] by EvinZL and May13, respectively. <br /> * '''November 16''': Several people extend a new [[beehive]] [[factory]] partial by [[Mitchell Riley]] to produce [[conduit]]s, usually with [[repeat time]] 90, that convert gliders to [[G-to-X_(November_2023)|other active objects]].<br /> * '''November 15''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=171254#p171254 proves] that [[30P5H2V0]] is the unique smallest possible period-5 [[2c/5 orthogonal]] spaceship in terms of its minimum population of 30 cells.<br /> * '''November 14''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=171092#p171092 discovers] [[44P49]], the smallest known period-49 oscillator, which quickly leads to a number of related [[SKOP]] records being broken.<br /> * '''November 12-13''': [[Keith Amling]] completes a census of all [https://conwaylife.com/forums/viewtopic.php?p=171012#p171012 period-3 ships up to 49 cells] and all [https://conwaylife.com/forums/viewtopic.php?p=171031#p171031 period-2 ships up to 80 cells] which discovers 6 new c/3 ships and proves that [[64P2H1V0]] is the smallest possible period-2 ship.<br /> * '''November 8-10''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=170685#p170685 discovers] a high-clearance variant of a known p28 [[c/4 diagonal]] puffer and combines two such engines to form a p116 puffer. Two days later, [[praosylen]] [https://conwaylife.com/forums/viewtopic.php?p=170835#p170835 modifies] the p116 puffer to form a [[dirty rake]] and [[Evin]] uses this dirty rake to [https://conwaylife.com/forums/viewtopic.php?p=170856#p170856 construct] a clean p116 rake. The previous lowest known c/4 diagonal rake period was 4508.<br /> * '''November 2''': affamatodidio [https://conwaylife.com/forums/viewtopic.php?p=170361#p170361 finds] and EvinZL reduces a [[Spartan]] 180-degree same-lane [[glider]] [[reflector]] with the same timing as [[Jubjub]].<br /> * '''October 22''': iNoMed [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;start=4175#p169611 finds] a new [[period-201 glider gun]] engine, the first engine of that period to be found and the smallest gun of that period by bounding box.<br /> * '''October 20''': Nora Brown [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;start=4175#p169492 finds] a new p41 engine, the [[p41 pi-heptomino hassler]].<br /> * '''October 12''': iNoMed combines an engine by Luke Kiernan and a sparker by Carson Cheng to [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;start=4175#p169035 create] the first p81 engine, a p81 [[Pi-heptomino hasslers#p81|pi-heptomino hassler]].<br /> * '''October 9''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=168887#p168877 finds] a toggle-safe [[glider to block]] [[converter]].<br /> * '''October 5''': [[Tim Coe]] adds [https://conwaylife.com/forums/viewtopic.php?p=168544#p168544 two more levels of tetration] to the lifespan of a 112&amp;times;89 &quot;diesuperhard&quot;, pushing the lower bound up beyond 13^^^3; the bounds are then moved beyond 17^^^3 on the same day due to improvements by [[Adam P. Goucher]] and [[Evin]], with a similar sized bounding box (116&amp;times;86).<br /> * '''October 5''': Based on a partial result by [[Mitchell Riley]], [[iNoMed]] [https://discord.com/channels/357922255553953794/370571014654001154/1159398574103199794 completes] a p42 glider gun fitting in a 32&amp;times;23 bounding box, making it currently the seventh smallest [[true-period]] glider gun.<br /> * '''October 4'''&lt;!--inferred from time of DoI entry update--&gt;: [[Randall D. Beer]] [https://www.complex-systems.com/abstracts/v32_i01_a01/ proves] that no {{times|7|7}} [[Garden of Eden]] exists, and provides constraints on the population of {{times|8|8}} and {{times|9|9}} ones (which are not known to exist).<br /> * '''September 15-28''': Collaborative progress on enormously long-lived [[diehard]]s continues on the [https://conwaylife.com/forums/viewtopic.php?p=167981#p167981 &quot;engineered diehards&quot; thread], passing the threshold on September 28 of 11^^^3 = 11 ^^ (11 ^^ 11) ticks (where ^^ is the operator for tetration, i.e., iterated exponentiation).<br /> * '''September 24''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?p=167691#p167691 discovers] a period-76 shuttle for a pair of pi-heptominoes which, at 52 cells, is the smallest known oscillator of this period.<br /> * '''September 23''': [[Evin]] discovers compact, stable glider [[pulse divider]]s with new period multipliers of [https://conwaylife.com/forums/viewtopic.php?p=167612#p167612 5], [https://conwaylife.com/forums/viewtopic.php?p=167615#p167615 11], [https://conwaylife.com/forums/viewtopic.php?p=167642#p167642 12], and [https://conwaylife.com/forums/viewtopic.php?p=167615#p167615 4+6n]<br /> * '''September 18''': [[Mitchell Riley]] discovers [[86P107]], the first engine-based period-107 oscillator, and the smallest known oscillator of that period.<br /> * '''September 9''': [[Hartmut Holzwart]] [https://conwaylife.com/forums/viewtopic.php?p=166691#p166691 constructs] a new type of [[c/2 orthogonal]] [[agar ship]].<br /> * '''September 6''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=166490#p166490 completes] a period-6 [[c/3 orthogonal]] ship containing a simple [[wick]].<br /> * '''September 4''': [[400spartans]] [https://conwaylife.com/wiki/Unique_father_problem#Reduction constructs] a 278-cell unconstructible still life, smaller in population and bounding box than the previous minimum 306-cell version.<br /> * '''September 1''': The 2022 [[Pattern of the Year]] competition [https://conwaylife.com/forums/viewtopic.php?p=166268#p166268 concludes] with a tie for first place between the explicit 15-glider [[reverse caber-tosser]] and the unsynthesizable and limited-ancestor objects.<br /> * '''August 31''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=166120#p166120 constructs] the first c/3 [[Greyship#Types_of_greyships|against-the-grain greyship]] based on an idea by [[Hartmut Holzwart]].<br /> * '''August 28''': [[Carson Cheng]], [[Mitchell Riley]], and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=165969#p165969 collaborate] to find the smallest known p140 oscillator.<br /> * '''August 27''': [[Mitchell Riley]], [[iNoMed]], and [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=165849#p165849 collaborate] to find the smallest known p126 oscillator. [[Nora Brown]] and [[iNoMed]] then use this oscillator to [https://conwaylife.com/forums/viewtopic.php?p=165853#p165853 construct] a new record smallest p126 gun.<br /> * '''August 26''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=165834#p165834 discovers] the first [[2c/5 orthogonal]] [[greystretcher]].<br /> * '''August 11''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=164881#p164881 discovers] the first [[c/3 orthogonal]] [[wickstretcher]]s and [[greystretcher]]s.<br /> * '''August 9''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=164825#p164825 discovers] a new type of c/4 orthogonal [[greystretcher]].<br /> * '''August 1''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=164406#p164406 completes] a [[R-pentomino hasslers#p93|p93 R-pentomino hassler]], the first engine-based period-93 oscillator, based on a partial result by [[Carson Cheng]].<br /> * '''July 22''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=164021#p164021 completes] a [[period-41 glider gun]] using a design by [[Matthias Merzenich]] based on a partial result by [[May13]] and [[David Raucci]]. iNoMed subsequently [https://conwaylife.com/forums/viewtopic.php?p=164030#p164030 constructs] a much smaller p41 gun using an alternate design.<br /> * '''July 21''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=163987#p163987 completes] a [[c/5 orthogonal]] [[greyship]] with a record-breaking steep descent.<br /> * '''July 21''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=163972#p163972 discovers] a [[204P41|180&amp;deg; p41 dependent reflector loop]], the first {{period|41}} oscillator, proving that Life is [[omniperiodic]]. Brown also [https://conwaylife.com/forums/viewtopic.php?p=163993#p163993 finds] a related 90&amp;deg; p41 dependent reflector a few hours later. [[May13]] then [https://conwaylife.com/forums/viewtopic.php?p=164009#p164009 constructs] an independent [[bumper]]-based p41 reflector using the 180&amp;deg; dependent reflector.<br /> * '''July 14''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=163664#p163664 discovers] [[cribbage]], the first {{period|19}} oscillator, leaving period 41 as the only period for which no oscillator is known.<br /> * '''July 13''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=163639#p163639 discovers] and subsequently [https://conwaylife.com/forums/viewtopic.php?p=163643#p163643 reduces] the first engine-based {{period|59}} [[gun]] which is much smaller than the [[p59_dependent_reflector_loop#Other_uses_of_the_dependent_reflector|previous Herschel-based record]].<br /> * '''July 6''': [[Darren Li]] [https://gitlab.com/ascendantdreamweaver/scourge releases] [[scourge]], an [[ikpx]]-like oscillator search program.<br /> * '''June 29''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=163131#p163131 discovers] the [[p71 dependent reflector loop]], the smallest known {{period|71}} [[oscillator]].<br /> * '''June 29''': [[Nora Brown]] [https://github.com/nicobrownmath/LocalForce/tree/spaceship releases] a modification of [[LocalForce]] that can be used to search for [[dependent reflector]]s.<br /> * '''June 16''': [[Martin Grant]] [https://conwaylife.com/forums/viewtopic.php?p=162720#p162720 discovers] fenceposts for a very thin period-8 wick that was first presented in [[Lifeline_Volume_3#Page_17|Lifeline Volume 3]] in 1971.<br /> * '''June 11''': [[Andrew J. Wade]] [https://conwaylife.com/forums/viewtopic.php?p=162576#p162576 disproves] the existence of 4-cell-high [[orphan]]s in Conway's Game of Life. 5-cell-high orphans had previously been discovered by [[Steven Eker]] in 2016.<br /> * '''June 6''': The [[Unnamed (34,7)c/156 spaceship|(34,7)c/156 spaceship]] project, based on the [[(34,7)c/156 Herschel climber]], [https://conwaylife.com/forums/viewtopic.php?p=162379#p162379 is completed] by [[Luka Okanishi]].<br /> * '''June 2''': The [[Stable Storage Spaceship]] project [https://conwaylife.com/forums/viewtopic.php?p=162210#p162210 is completed] by [[Goldtiger997]], resulting in an [[engineered spaceship]] consisting of a [[glider]] colliding with a large [[still life]] [[constellation]].<br /> * '''May 26''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?p=161994#p161994 discovers] the [[Pi-heptomino_hasslers#p78|p78 pi-heptomino hassler]], the first engine-based {{period|78}} [[oscillator]].<br /> * '''May 18''': [[Period1GliderGun]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=161675#p161675 discovers] [[mold on fire-spitting]], a previously unnoticed [[LCM oscillator]] which is the smallest known non-trivial {{period|12}} oscillator.<br /> * '''May 14''': [[Mitchell Riley]] [https://discord.com/channels/357922255553953794/370571014654001154/1107315680287653888 discovers] the [[p82 lumps of muck hassler]], the smallest known {{period|82}} [[oscillator]].<br /> * '''May 11-16''': [[Andrew Trevorrow]] [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=6015 makes available] two versions of a &quot;HatLife&quot; Glu script that can explore cellular automata running on tilings of the recently discovered aperiodic &quot;hat&quot; monotile.<br /> * '''May 11''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=161411#p161411 assembles] a very large [[stable]] [[constellation]] (22,620 ON cells) that acts as a one-[[MWSS]] [[spacefiller]] [[seed]].<br /> * '''May 8-9''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=161321#p161321 discovers] simple wick-based c/5 [[greyship]] connections that allow the construction of new greyships and [[Wickstretcher#Greystretchers|stretchers]].<br /> * '''April 23''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=160785#p160785 completes] the first [[2c/5 orthogonal]] [[wickstretcher]] based on a partial result by [[Keith Amling]].<br /> * '''April 21''': [[Mitchell Riley]] [https://discord.com/channels/357922255553953794/370571014654001154/1099006580030185472 discovers] [[42P38]], the smallest known {{period|38}} [[oscillator]]. <br /> * '''April 21''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=160728#p160728 discovers] the [[p67 B-heptomino hassler]], the first engine-based {{period|67}} [[oscillator]].<br /> * '''April 21''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=160719#p160719 discovers] the [[p68 century hassler]], the smallest known {{period|68}} [[oscillator]].<br /> * '''April 19''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=160630#p160630 discovers] the [[p26 honey farm hassler]], the smallest known [[non-trivial]] {{period|26}} [[oscillator]].<br /> * '''April 18''': Forum user 'blah' [https://conwaylife.com/forums/viewtopic.php?p=160607#p160607 completes] a period-2^18 WireWorld metacell running in the Conway's Life rule.<br /> * '''April 18''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=160604#p160604 discovers] the first engine-based [[Period-49_glider_gun_(April_2023)|period-49 glider gun]] which is much smaller than previous [[Hotcrystal0_reaction#Generalized form|glider loop based guns]].<br /> * '''April 10''': [[Frank Everdij]] [https://conwaylife.com/forums/viewtopic.php?p=160290#p160290 discovers] a [[c/6 diagonal]] [[tubstretcher]], the first c/6 diagonal [[wickstretcher]] of any type.<br /> * '''April 8''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=160239#p160239 discovers] a [[c/5 diagonal]] [[barberpole]] [[wickstretcher|stretcher]].<br /> * '''April 5''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=160181#p160181 discovers] the first engine-based period-61 [[gun]] which is significantly smaller than previously known guns of this period.<br /> * '''April 4''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=160041#p160041 completes] a [[c/5 diagonal]] [[linestretcher]] with help from [[Matthias Merzenich]]. Merzenich [https://conwaylife.com/forums/viewtopic.php?p=160048#p160048 finds] an alternate solution to Amling's partial result soon after.<br /> * '''April 2''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=160180#p160180 discovers] a period-42 oscillator whose [[volatility#strict|strict volatility]] matches its ordinary [[volatility]]. This was the last composite period for which no such oscillator was known.<br /> * '''April 1''': New smallest known oscillators of periods [[72P119|119]], [[51P384|128, 192, 256, and 384]] -- [[Table_of_oscillators_by_period|SKOPs]] -- are posted by [[Mitchell Riley]], and by [[iNoMed]], [[Adam P. Goucher]], and [[Carson Cheng]] based on the initial period-384 oscillator discovery.<br /> * '''March 23''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=159458#p159458 constructs] and [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=159470#p159470 reduces] a new [[quartermax]] variant based on a partial result by [[Hartmut Holzwart]].<br /> * '''March 21''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=159336#p159336 completes] a [[c/2 orthogonal]] [[agar ship]] for a high-density period-2 agar.<br /> * '''March 19''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=159240#p159240 assembles] a 1227-glider [[spacefiller]] [[glider synthesis|synthesis]] based on a reduced final stage by [[Goldtiger997]]; optimizations are continuing, with a 1153-glider synthesis available on March 23.<br /> * '''March 15''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=159069#p159069 completes] a [[c/5 orthogonal]] [[ants]] waveguide.<br /> * '''March 13''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=158923#p158923 completes] a 2373-glider [[spacefiller]] [[glider synthesis|synthesis]], reduced the same day to 2283 gliders (with more reductions likely).<br /> * '''March 9''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=158775#p158775 discovers] a [[c/4 diagonal]] [[barberpole]] [[wickstretcher]].<br /> * '''March 9''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=158774#p158774 discovers] a small elementary 0-degree colour preserving [[Stable reflector|stable glider reflector]] with repeat time 59.<br /> * '''March 6''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=158649#p158649 discovers] and [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=158651#p158651 slightly reduces] a record-breaking small period-68 [[gun]] based on a new [[oscillator]] by [[Mitchell Riley]].<br /> * '''March 4''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=159163#p159163 discovers] a symmetric soup producing four copies of [[14P2.4]]. This means that all known still lifes, oscillators, and spaceships up to 15 cells have occurred at least [[semi-natural]]ly, although [https://conwaylife.com/forums/viewtopic.php?p=140882#p140882 some] have still not occurred [[natural]]ly.<br /> * '''March 2''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=158612#p158612 discovers] a record-breaking small period-52 [[gun]].<br /> * '''February 26''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=158264#p158264 finds] the activation step for a [[spacefiller]] [[glider synthesis|synthesis]].<br /> * '''February 21-22''': The first occurrence of the 15-cell still life [https://catagolue.hatsya.com/object/xs15_321e88gzxca1/b3s23 xs15_321e88gzxca1] [https://conwaylife.com/forums/viewtopic.php?p=158017#p158017 appears] in a random [[soup]] found by [[Charity Engine]]. Charity Engine also [https://conwaylife.com/forums/viewtopic.php?p=158077#p158077 finds] a second occurrence of this still life less than 24 hours later. This leaves the [[long|long&lt;sup&gt;9&lt;/sup&gt;]] extension of [[snake]] as the only 15-cell still life not known to occur [[natural]]ly.<br /> * '''February 17''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=157697#p157697 discovers] a [[c/4 diagonal]] [[linestretcher]] that can stretch lines with the closest possible spacing.<br /> * '''February 15''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=157631#p157631 completes] a [[c/4 diagonal]] maximum-density multi-[[tubstretcher]] based on a [[wave]] by [[Hartmut Holzwart]].<br /> * '''February 14''': [[Carson Cheng]] [https://conwaylife.com/forums/viewtopic.php?&amp;p=157535#p157535 discovers] a 6-glider [[synthesis]] of [[amphisbaena]], showing that every 11-cell [[still life]] can be synthesized with 6 or fewer gliders.<br /> * '''February 13''': The [[Conwaylife Lounge]] Discord server reaches 1,000 members.<br /> * '''February 2''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=156856#p156856 discovers] an extensible [[wickstretcher]] and an [[agar ship]] based on the [[overweight spaceship]].<br /> * '''February 1''': [[David Bell]] [https://conwaylife.com/forums/viewtopic.php?p=156771#p156771 completes], and Goldtiger997 later [https://conwaylife.com/forums/viewtopic.php?p=156865#p156865 optimizes], a [[stable]] [[pseudo-Heisenburp]] device that detects a passing c/3 [[crotchet ship]] by removing its final [[anacrusis]] and then adding it back later.<br /> * '''January 31''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=156728#p156728 discovers] [[94P53]], the first known [[engine]]-based period-53 oscillator.<br /> * '''January 24''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=156408#p156408 discovers] a [[strictly volatile]] period-25 oscillator, [[Charity's p25]].<br /> * '''January 23''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=156338#p156338 discovers] a period-8 c/2 [[greystretcher]] component that uses blocks to stabilize the [[zebra stripes]].<br /> * '''January 20''': [[Darren Li]] uses [[Open Science Grid]] and a modified [[ikpx2]] to find [https://conwaylife.com/forums/viewtopic.php?p=156206#p156206 a surprisingly small (2,1)c/6 tagalong], which can be attached to [[Sir Robin]], [[Sir Sprayer]], and various minstrels in a wide variety of ways, including a connection to itself.<br /> * '''January 20''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=156198#p156198 completes] a [[gliderless]] lightweight spaceship gun based on [https://conwaylife.com/forums/viewtopic.php?p=156185#p156185 a partial result] by [[iNoMed]] and [[Lucy D'Agostino]].<br /> * '''January 17-19''': [[Carson Cheng]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=156093#p156093 discover] small [[glider gun]]s for periods 70, 72, and 84.<br /> * '''January 12''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=155852#p155852 discovers] the [[walrus]], the first known elementary [[c/8 diagonal]] [[spaceship]].<br /> * '''January 2-8''': [[Rocknlol]] [https://conwaylife.com/forums/viewtopic.php?p=155419#p155419 reduces] the minimum population record for a [[Max]] predecessor to 110 cells. Rocknlol subsequently [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=155703#p155703 reduces] this by finding a 107-cell Max predecessor, as well as a predecessor fitting in a record 21&amp;times;19 bounding box.<br /> <br /> ==2022==<br /> * '''December 29-31''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=155354#p155354 finds] a 127-cell [[Max]] predecessor, the smallest such pattern known in terms of population. [[Rocknlol]] [https://conwaylife.com/forums/viewtopic.php?p=155419#p155419 improves this further] by finding a 112-cell Max predecessor, as well as a predecessor fitting in a record 21&amp;times;21 bounding box.<br /> * '''December 23-28''': [[Goldtiger997]] finds the key activation steps for another [[2c/5]] [[spaceship]], [https://conwaylife.com/forums/viewtopic.php?p=155161#p155161 66P5H2V0], and another [[c/4]] diagonal spaceship, [https://discord.com/channels/357922255553953794/370571014654001154/1057593135489892382 37P4H1V1].<br /> * '''December 13''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=154825#p154825 constructs] a [[c/4 orthogonal]] &quot;[[agar]] [[spaceship]]&quot; escorting an adjustable-sized patch of period-4 &quot;[[OWSS]] agar&quot;.<br /> * '''December 12''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=154792#p154792 discovers] the first known [[engine]]-based period-61 oscillator, a [[Pi-heptomino_hasslers#p61|p61 pi-heptomino hassler]]. This also becomes the smallest known p61 oscillator.<br /> * '''December 12''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=154748#p154748 discovers] a [[light speed]] fuse capable of extending a [[c/3 orthogonal]] [[wave]].<br /> * '''December 9''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=154625#p154625 finds] a [[glider synthesis|synthesis]] component for extending a [[c/3 orthogonal]] [[spaceship]]. This gives the first known infinite series of synthesizable c/3 spaceships.<br /> * '''December 5''': [[Frank Everdij]] [https://conwaylife.com/forums/viewtopic.php?p=154464#p154464 discovers] [[taco]], the third known elementary [[c/7 orthogonal]] [[spaceship]].<br /> * '''December 2-3''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=154361#p154361 publishes] a script for constructing a [[strictly volatile]] [[oscillator]] with any period greater than or equal to 945.<br /> * '''November 25''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=154110#p154110 finishes] a 99-[[glider]] [[synthesis]] of a previously unsynthesized spaceship, &quot;[[brain]]&quot;, solving a [https://conwaylife.com/forums/viewtopic.php?p=22530#p22530 long-standing open problem].<br /> * '''November 21''': [[gravity]] [https://conwaylife.com/forums/viewtopic.php?p=153956#p153956 discovers] another new [[Methuselah#Infinite_growth|puffer-based methuselah]] within {{times|20|20}}, this time lasting 126,932,978 generations.<br /> * '''November 17''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153747#p153747 discovers] the first [[true]] period-34 [[glider gun]].<br /> * '''November 15''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=153564#p153564 completes] the 21-cell [[still life]] [[synthesis]] project. The project has spanned over a year and is the work of a large number of contributors.<br /> * '''November 12''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153483#p153483 discovers] the [[p43 pi-heptomino hassler]], the smallest known {{period|43}} [[oscillator]].<br /> * '''November 12-15''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=153465#p153465 reduces] the cost of the [[reverse caber-tosser]] to 15 gliders, and produces a new [https://conwaylife.com/forums/viewtopic.php?p=153609#p153609 &quot;RCT15&quot; demo pattern] and associated viewer scripts.<br /> * '''November 11''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=153452#p153452 constructs] the [[Speed Orthogonal Loopship]], a new [[adjustable spaceship|adjustable]] [[loopship]] design.<br /> * '''November 9''': A &quot;[[semi-natural]]&quot; [[Gosper glider gun]] [https://catagolue.hatsya.com/hashsoup/C4_4/o_hjWdgGhm7agu146534448/b3s23 appears] on Catagolue for the first time, in a [[symmetric]] [[soup]].<br /> * '''November 8''': [[May13]] [https://conwaylife.com/forums/viewtopic.php?p=153274#p153274 finds] [[glider synthesis|syntheses]] for the last two 20-cell [[pseudo still life]]s.<br /> * '''November 8''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153284#p153284 discovers] the [[diamondback]], which is tied with [[rattlesnake]] for the smallest known {{period|11}} [[oscillator]].<br /> * '''November 8''': [[Matthias Merzenich]] [https://conwaylife.com/forums/viewtopic.php?p=153266#p153266 discovers] a dependent [[bouncer]]-based period-23 glider reflector using [[92P23|an oscillator]] by [[Mitchell Riley]]. This is the first p23 reflector of any type to be found.<br /> * '''November 7''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=153250#p153250 discovers] the first [[true]] [[period-25 glider gun]].<br /> * '''November 7-9''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=153201#p153201 posts] an [[RCT]] demo pattern with all ash trails successfully cleaned up, and two days later [https://conwaylife.com/forums/viewtopic.php?p=153348#p153348 completes] the remaining cleanup and construction tasks at the [[epicentre]] -- demonstrating in detail that any glider-constructible pattern can be constructed with exactly 16 gliders.<br /> * '''November 4-6''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153058#p153058 discovers] the [[70P23|p23 pi-heptomino hassler]], the smallest known {{period|23}} [[oscillator]] up to that point, and then [https://conwaylife.com/forums/viewtopic.php?p=153183#p153183 finds] yet another smaller p23 oscillator, [[55P23]], two days later.<br /> * '''November 3''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153032#p153032 discovers] [[54P94]], the smallest known {{period|94}} [[oscillator]].<br /> * '''November 2''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=153007#p153007 discovers] a small [[period-51 glider gun]], whose capped version is also the smallest known {{period|51}} [[oscillator]].<br /> * '''October 30''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=152874#p152874 discovers] [[p73 lumps of muck hassler]], the smallest known {{period|73}} [[oscillator]].<br /> * '''October 24''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=152606#p152606 discovers] a smaller period-32 [[glider gun]] using a new twin bees hassler.<br /> * '''October 21''': [[Simon Ekström]] [https://conwaylife.com/forums/viewtopic.php?p=152460#p152460 discovers] [[NW-2T16]], a new [[Herschel-to-glider]] converter which [https://conwaylife.com/forums/viewtopic.php?p=152506#p152506 can also be used] to create the [[SKOP|smallest known oscillators of periods]] 89, 97, 101, and 103.<br /> * '''October 20''': New user [[gravity]] [https://conwaylife.com/forums/viewtopic.php?p=152437#p152437 discovers] a [[List_of_long-lived_methuselahs#Puffer-based_methuselahs|puffer-based methuselah]] within a {{times|20|20}} [[bounding box]] lasting 13,629,876 generations.<br /> * '''October 20''': Voting for the [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=5747 belated 2012 Pattern of the year competition] has been extended to the end of the year.<br /> * '''October 8''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=151938#p151938 discovers] [[34P20]], the smallest known non-[[LCM]]-based {{period|20}} [[oscillator]]. It is also the first known period-20 oscillator with [[volatility]] 1, although it is not [[strictly volatile]].<br /> * '''October 3''': [[Mitchell Riley]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=151727#p151727 discover] [[52P44]], the smallest non-[[LCM]]-based {{period|44}} [[oscillator]].<br /> * '''October 3''': [[cvojan]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=151695#p151695 discover] a [[period-40 glider gun]] with a 27&amp;times;20 [[bounding box]] - the fourth smallest of a glider gun with a unique period.<br /> * '''October 3''': The [[Open Science Grid]] [https://conwaylife.com/forums/viewtopic.php?p=151700#p151700 discovers] [[76P86]], the smallest known {{period|86}} [[oscillator]], using [[apgsearch]].<br /> * '''October 2''': Using parts of a new [https://conwaylife.com/forums/viewtopic.php?p=151696#p151668 extensible 8-engine Cordership], [[Brett Berger]] [https://conwaylife.com/forums/viewtopic.php?p=151675#p151675 completes] a pattern that produces a single glider stream with an irrational bit density, followed by another pattern that emits gliders in a line whose slope is the golden ratio.<br /> * '''October 2''': [[cvojan]] and [[vivi]] [https://conwaylife.com/forums/viewtopic.php?p=151670#p151670 discover] a [[period-24 glider gun]] with a 21&amp;times;20 [[bounding box]], later [https://conwaylife.com/forums/viewtopic.php?p=151697#p151697 reduced] to 20&amp;times;20 by [[James Pascua]], making it the second smallest known glider gun with a unique period.<br /> * '''October 2''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=151681#p151681 discovers] a small [[p28 block puffer]] using [[apgsearch]].<br /> * '''October 2''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=151646#p151646 finds] a [[92P23|third period-23 oscillator engine]], a beehive-and-honeyfarm hassler.<br /> * '''October 1''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=151619#p151619 discovers] [[115P106]], the smallest known {{period|106}} [[oscillator]].<br /> * '''October 1''': [[Luke Kiernan]] and [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=151605#p151605 discover] the [[p68 pi-heptomino hassler]], the smallest known {{period|68}} [[oscillator]].<br /> * '''September 27''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=151430#p151430 discovers] the [[p79 pi-heptomino hassler]], both the smallest known {{period|79}} [[oscillator]] and the first of that period not based on adjustable-period mechanisms.<br /> * '''September 23''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=151303#p151303 finds] [[70P26|a new SKOP26]] ([[SKOP|Smallest Known Oscillator of Period]] 26), using an unusual [[catalyst]] [[constellation]] made up of an [[elevener]] plus a common [[ship]]+[[fishhook]] combination.<br /> * '''September 22''': googleplex [https://conwaylife.com/forums/viewtopic.php?p=151285#p151285 completes] a previously unfinished [[c/4 orthogonal]] moving [[wick]] from the '''jslife-moving''' collection, adding a front end to a back end found by [[Hartmut Holzwart]].<br /> * '''September 22''': A new period-86 [[R-pentomino]] [[hassle|hassling]] oscillator and [[Herschel]] [[factory]] is [https://conwaylife.com/forums/viewtopic.php?p=151276#p151276 discovered] by Nora Brown, adjusted by iNoMed, and made strict-[[volatility]] by Nora Brown with several variants with different relative phases.<br /> * '''September 14''': The [[Open Science Grid]] finds simpler [[glider syntheses]] for multiple [[oscillator]]s, specifically [https://conwaylife.com/forums/viewtopic.php?p=151006#p151006 5 gliders] for the [[caterer]] and [https://conwaylife.com/forums/viewtopic.php?p=151012#p151012 6 gliders each] for [[bi-pentadecathlon 1]] and [[boat tie bipole]].<br /> * '''September 14''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=151003#p151003 discovers] [[108P59]], the smallest known {{period|59}} [[oscillator]].<br /> * '''September 12''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=150930#p150930 discovers] the [[p94 R-pentomino hassler]], the smallest known {{period|94}} [[oscillator]].<br /> * '''September 11''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=150882#p150882 discovers] the first true [[period-43 glider gun]] and, as a corollary, the first non-[[Snark]]-based {{period|43}} [[oscillator]].<br /> * '''September 1''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=150469#p150469 discovers] the [[p71 honey farm hassler]], the smallest known {{period|71}} [[oscillator]].<br /> * '''August 26''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=150241#p150241 discovers] the [[p85 R-pentomino hassler]], which in its minimum form is the smallest known {{period|85}} [[oscillator]].<br /> * '''August 21''': [[Luka Okanishi]] [https://conwaylife.com/forums/viewtopic.php?p=149933#p149933 completes] the [[p129 R-pentomino hassler]] based on a partial result by [[Luke Kiernan]]. With only 38 cells, it is the smallest known {{period|129}} oscillator.<br /> * '''August 16''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=149645#p149645 discovers] new [[pi-heptomino hassler]]s of periods 35, 40, 58, and 160, while [[Carson Cheng]] finds a new [[honey farm hassler]] of period 24.<br /> * '''August 16''': [[EvinZL]] [https://conwaylife.com/forums/viewtopic.php?p=149677#p149677 completes] an &quot;octo3g&quot; orientation-agnostic hash library for the existing database of 3-glider collisions, allowing active 3G collision patterns to be searched in the same way as the previous octo3obj and octohash databases, with (probably) no false positives.<br /> * '''August 11''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=149466#p149466 discovers] [[p11 thumb]], a small {{period|11}} [[oscillator]] and the first with an asymmetric [[rotor]] to appear in an official [[Catagolue]] symmetry.<br /> * '''August 9''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=149347#p149347 discovers] a [[p45 pi-heptomino hassler]] with only 29 cells, making it the smallest known {{period|45}} [[oscillator]].<br /> * '''August 9''': The [[Open Science Grid]] begins contributing CPU and GPU resources to [[Catagolue]].<br /> * '''August 8''': [[Luke Kiernan]] [https://conwaylife.com/forums/viewtopic.php?p=149315#p149315 discovers] [[R-pentomino]] [[hassler]]s of periods [[p49 R-pentomino hassler|49]] and [[p91 R-pentomino hassler|91]]. The former is the smallest known {{period|49}} [[oscillator]] by population, while the latter [https://conwaylife.com/forums/viewtopic.php?p=149322#p149322 can be turned] into the smallest known period-91 [[glider gun]].<br /> * '''August 4''': [[Nora Brown]] [https://conwaylife.com/forums/viewtopic.php?p=149120#p149120 discovers] a [[p220 honey farm hassler]].<br /> * '''August 2''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=149077#p149077 discovers] [[34P7]], a small {{period|7}} [[sparker]] with similar functionality to the previously-discovered [[meatball]].<br /> * '''July 30 - August 2''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=148949#p148949 discovers] a [[semi-natural]] [[methuselah]] lasting 128,719 generations, the longest lifespan known for an [[apgsearch]] [[soup]] excluding those which continue to grow infinitely after &quot;going boring&quot;. Three days later [https://conwaylife.com/forums/viewtopic.php?p=149071#p149071 a second one] is discovered lasting 132,364 generations.<br /> * '''July 29''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=148834#p148834 discovers] the smallest known period-92 oscillator, a 44-cell [[LCM oscillator]] consisting of a [[mold]] interacting with a previously-overlooked spark from a [[twin bees shuttle]] variant.<br /> * '''July 25''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=148702#p148702 discovers] a new stabilization of the [[p44 pi-heptomino hassler]] using only [[block]]s and [[eater 2]]s, while [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=148703#p148703 finds] a period-sextupling mechanism that works with all versions of the oscillator.<br /> * '''July 25''': [[Simon Ekström]] [https://conwaylife.com/forums/viewtopic.php?p=148650#p148650 discovers] a small, stable 180-degree glider [[reflector]].<br /> * '''July 25''': [[Entity Valkyrie]] [https://conwaylife.com/forums/viewtopic.php?p=148649#p148649 discovers] the [[p82 pi-heptomino hassler]], the smallest known {{period|82}} [[oscillator]].<br /> * '''July 24''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=148590#p148590 discovers] &lt;!-- https://discord.com/channels/357922255553953794/370571014654001154/1000611893007880323 --&gt; the [[speed tunnel]], a [[Spartan|non-Spartan]] [[Glider-to-Herschel converter|glider-to-Herschel conduit]] with a repeat time of 61 ticks, which makes it the fastest G-to-H conduit discovered to date.<br /> * '''July 23''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=148557#p148557 discovers] a new {{period|22}} [[century]] [[hassle]]r.<br /> * '''July 15''': [[Carson Cheng]] [https://discord.com/channels/357922255553953794/370571014654001154/997664404323709048 reveals himself] as the author of numerous randomly-generated [[glider syntheses]] covertly submitted to [[Catagolue]] over the last few months, most notably a 4-glider [[bipole]] and a 5-glider [[octagon II]].<br /> * '''July 15''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?p=148274#p148274 discovers] an 8-glider [[synthesis]] for [https://catagolue.hatsya.com/object/xs14_dbgzw1qm/b3s23 xs14_dbgzw1qm], which means that all strict 14-cell [[still life]]s can be synthesized with 9 or fewer gliders.<br /> * '''July 14''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=148244#p148244 discovers] a new glider-releasing H-to-R [[conduit]], and [[Matthias Merzenich]] uses it to [https://conwaylife.com/forums/viewtopic.php?p=148237#p148237 reduce] the size of the smallest known [[true]] period 59, 61, 67, and 77 [[gun]]s.<br /> * '''July 11-14''': [[Mitchell Riley]] and [[wwei23]] [https://conwaylife.com/forums/viewtopic.php?p=148173#p148173 discover] [[43P54]], the smallest known period-54 oscillator. [[David Raucci]] and [[hotcrystal0]] then use this oscillator to [https://conwaylife.com/forums/viewtopic.php?p=148236#p148236 reduce] the size of the smallest known period-54 [[gun]].<br /> * '''July 6''': [[Mitchell Riley]] and [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147980#p147980 discover] a [[200P199|period-199 oscillator]] whose reduced form also functions as a [[pipsquirter]].<br /> * '''July 6''': [[Mitchell Riley]] and [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147972#p147972 discover] a [[p146 pi-heptomino hassler]], which is later [https://conwaylife.com/forums/viewtopic.php?p=147977#p147977 monomerized] by [[Evin]] and [https://discord.com/channels/357922255553953794/370571014654001154/994432762603905074 reduced] to have a minimum population of only 52 cells.<br /> * '''July 6''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=147943#p147943 discovers] the first [[non-trivial]] period-34 oscillator, [[74P34]]. Using a resulting p34 beehive hassler by &quot;MAP bot&quot;, [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=147953#p147953 completes] a p34 [[bumper]] reflector.<br /> * '''July 6''': Based on a [https://conwaylife.com/forums/viewtopic.php?p=147886#p147886 partial result] by [[Hartmut Holzwart]], [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=147929#p147929 completes] a width-12 [[chicken wire]] [[greyship]] with a slope-0 back end, filling in the final gap in the collection of slope-0 chicken wire back ends.<br /> * '''July 5''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=147909#p147909 discovers] a new period-83 oscillator, [[62P83]], and [[iNoMed]] uses two copies to [https://conwaylife.com/forums/viewtopic.php?p=147908#p147908 construct] a small period-83 [[glider gun]].<br /> * '''July 2-3''': [[yaochen2]] and [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=147829#p147829 discover] [https://conwaylife.com/forums/viewtopic.php?p=147834#p147834 various] [[switch engine]]-based [[methuselah]]s within a 16&amp;times;16 bounding box, including one lasting 4,764,364 generations.<br /> * '''July 2''': [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147819#p147819 discovers] [[74P127]], the highest prime-period oscillator not based on adjustable-period loops.<br /> * '''June 30''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=147745#p147745 discovers] [[Charity's p16]], a relatively small period-16 oscillator.<br /> * '''June 29''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=147675#p147675 discovers] a [[glider synthesis]] for [[29P3H1V0]], meaning that all known [[spaceship]]s with up to 31 cells have a known synthesis.<br /> * '''June 26''': [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147576#p147576 discovers] the [[p58 pi-heptomino hassler]], the smallest known period-58 oscillator. Dani uses this to [https://conwaylife.com/forums/viewtopic.php?p=147579#p147579 construct] a [[gliderless]] p58 lightweight spaceship gun.<br /> * '''June 24''': [[ljkiernan1]] [https://conwaylife.com/forums/viewtopic.php?p=147511#p147511 discovers] [[58P37]], the smallest known period-37 oscillator and the first one that can be used to create a [https://conwaylife.com/forums/viewtopic.php?p=147512#p147512 period-37 glider gun].<br /> * '''June 20''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=147341#p147341 reduces] the [[p4-assisted period-28 glider gun]], making it the fifth-smallest glider gun with a distinct period and leading to [https://conwaylife.com/forums/viewtopic.php?p=147342#p147342 additional reductions] to the [[period-14 glider gun|pseudo-p14 glider gun]].<br /> * '''June 14''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=147102#p147102 discovers] a [[p10 domino fountain|strong period-10 domino sparker]].<br /> * '''June 6''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=146680#p146680 completes] a c/2 wire width 2 [[chicken wire]] [[grayship]] using a dense wave front by [[Hartmut Holzwart]].<br /> * '''June 2''': [[Keith Amling]], [[Matthias Merzenich]] and [[Hartmut Holzwart]] collaborate to complete a [https://conwaylife.com/forums/viewtopic.php?p=146504#p146504 new greyship front edge], allowing for rectangular and trapezoidal [[greyship]]s that mix different widths of [[chicken wire]] with a minimum width of 13.<br /> * '''May 28''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=146196#p146196 discovers] [[meatball]], a small {{period|7}} [[spark]]-producing [[oscillator]] which can be used in place of [[38P7.2]] in certain [[glider gun]] constructions.<br /> * '''May 27''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=146111#p146111 completes another stage] of a 16G [[RCT]] implementation, moving the project gradually away from &quot;&lt;i&gt;we know vaguely how it would work&lt;/i&gt;&quot; toward &quot;&lt;i&gt;we know exactly how it works&lt;/i&gt;&quot;.<br /> * '''May 25-June 2''': [[Charity Engine]]'s continuing focus on non-C1 [[symmetry]] produces [https://conwaylife.com/forums/viewtopic.php?p=145987#p145987 several] [https://conwaylife.com/forums/viewtopic.php?p=146482#p146482 more] new p9 and p6 oscillators.<br /> * '''May 18''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=145728#p145728 discovers] [[30P25]], the smallest known {{period|25}} [[oscillator]] by population.<br /> * '''May 10''': [[mvr]] [https://conwaylife.com/forums/viewtopic.php?p=145411#p145411 discovers] a [[p84 honey farm hassler]] with only 42 cells, the smallest known period-84 oscillator by population.<br /> * '''May 10''': A [https://conwaylife.com/forums/viewtopic.php?p=145414#p145414 modification] of the CatForce search program by [[mvr]] allows for a significant speedup -- and also includes a symmetric search option that has very quickly started finding interesting new circuitry, such as a new [[Spartan]] [https://conwaylife.com/forums/viewtopic.php?p=145440#p145440 version of a known pi-to-2G converter]. <br /> * '''May 10''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=145359#p145359 posts] reductions to two different oscillators: the p12 [[crown]], and the [[p44 pi-heptomino hassler]].<br /> * '''May 2''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=144986#p144986 constructs] [[quartermax]], a [[quadratic-growth]] pattern that fills one quarter of the plane (instead of a half or full plane, as in [[halfmax]] and [[max]].)<br /> * '''May 2''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=144982#p144982 discovers] a new period-46 [[glider gun]] that does not rely on previously known [[:Category:Oscillators with period 46|p46 oscillators]] or on [[adjustable glider loop]]s.<br /> * '''April 28''': [[wwei23]] [https://conwaylife.com/forums/viewtopic.php?p=144828#p144828 discovers] a record-breaking smallest p12 [[backrake]] using &quot;WSS_Test&quot;, the modified [[apgsearch]] program that also found [[35P12H6V0]] (the record-breaking smallest p12 spaceship from February).<br /> * '''April 27''': [[Ilkka Törmä]] and [[Ville Salo]] [https://conwaylife.com/forums/viewtopic.php?p=144795#p144795 find] a &quot;self-forcing&quot; finite patch of period-2 [[agar]], and Oscar Cunningham stabilizes the patch to produce the first oscillator with a provably unsynthesizable [[rotor]].<br /> * '''April 25''': [[Andrew Wade]] uses his life slice spaceship search program ([[LSSS]]) to find a [https://conwaylife.com/forums/viewtopic.php?p=144727#p144727 new 151-cell 2c/7 spaceship], and May13 [https://conwaylife.com/forums/viewtopic.php?p=144728#p144728 produces] a number of variations based on it and known 2c/7 components.<br /> * '''April 21''': [[dani]], [[Oscar Cunningham]], [[Adam P. Goucher]] and [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=144536#p144536 collaborate] to reduce the number of gliders needed for any glider construction (via an [[RCT]] synthesis) from 17 to 16.<br /> * '''April 20''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3552&amp;start=400#p144490 finds] a new [https://catagolue.hatsya.com/object/gun_114/b3s23 period-114 glider gun] engine using two [[pi-heptomino]]es and four period-6 [[sparker]]s.<br /> * '''April 16''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=144315#p144315 posts] an example pattern demonstrating the [[reverse caber-tosser]] mechanism by constructing a [[shillelagh]], along with a massive amount of debris, in approximately 5.23&amp;times;10&lt;sup&gt;615&lt;/sup&gt; generations.<br /> * '''April 15''': [[Goldtiger997]] makes available a [https://conwaylife.com/forums/viewtopic.php?p=144242#p144242 Python script] that can assemble a [[Speed Orthogonoid]] for any rational orthogonal velocity below c/2 (with the usual practical limitations due to system resources).<br /> * '''April 12''': [[iNoMed]] and [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=144139#p144139 assemble] a new-record smallest [[period-36 glider gun]] using just one engine (the previous record-holder used two).<br /> * '''April 11''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=144121#p144121 discovers] a symmetric [[soup]] via [[apgsearch]] exhibiting [[infinite growth]] whose center takes 225,593,194 generations to stabilize, [[Methuselah#Infinite growth|a new record]].<br /> * '''April 11-14''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=144077#p144077 completes] a [[diehard]] with a size similar to previous efforts, that takes '''much''' longer to die out completely -- initially on the rough order of &lt;sup&gt;8&lt;/sup&gt;121 ticks, the eighth [https://en.wikipedia.org/wiki/Tetration tetration] of 121, and improved past &lt;sup&gt;12&lt;/sup&gt;121 ticks in the next few days.<br /> * '''April 7-10''': [[Pavel Grankovskiy]] [https://conwaylife.com/forums/viewtopic.php?p=144045#p144045 constructs] a [[diehard]] fitting within a 10,000-cell bounding box while having an exponentially long lifespan using a [[sawtooth]] design. With optimizations by [[toroidalet]], [[Dean Hickerson]], and others, this pattern lasts for ~1.33616&amp;times;10&lt;sup&gt;1443&lt;/sup&gt; generations before disappearing.<br /> * '''April 6''': [[Goldtiger997]]'s [[self-synthesizing oblique loopship]] [https://conwaylife.com/forums/viewtopic.php?p=143872#p143872 wins] the [[Pattern of the Year]] competition for 2021.<br /> * '''April 4''': [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=143798#p143798 finds] a [[20-cell quadratic growth]] pattern, the current record holder for the smallest [[breeder]] in terms of population.<br /> * '''April 2''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=143703#p143703 discovers] a pair of [[44P5H2V0]]s via a symmetric [[soup search]], making it the first {{periodS|5}} [[spaceship]] to occur [[semi-natural]]ly. [[iNoMed]] and [[Goldtiger997]] use this soup to [https://conwaylife.com/forums/viewtopic.php?p=143704#p143704 reduce] the 44P5H2V0 [[glider synthesis]].<br /> * '''April 1-8''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=143667#p143667 completes] two [[Speed Orthogonoid]] spaceships, which can be adjusted to travel arbitrarily close to the orthogonal speed limit of c/2, similar to the [[Speed Demonoid]]'s adjustability for diagonal speeds arbitrarily close to c/4.<br /> * '''March 31''': A [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=5616 forum thread] dedicated to [[diehard]]s, including engineered ones, is created, leading to the publication of constructions by [[Dean Hickerson]] and [[Pavel Grankovskiy]] fitting within small bounding boxes but lasting for [https://conwaylife.com/forums/viewtopic.php?p=143574#p143574 tens of thousands] (and even [https://conwaylife.com/forums/viewtopic.php?p=143605#p143605 hundreds of thousands]) of generations before disappearing completely.<br /> * '''March 28''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=143452#p143452 discovers] a c/2 orthogonal [[wickstretcher|stretcher]] for a stable wick.<br /> * '''March 27''': [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=143450#p143450 finds] a 6-[[glider]] [[glider synthesis|synthesis]] of a [[breeder]], breaking the previous record of [[Switch engine ping pong|7 gliders]].<br /> * '''March 23-27''': [[Rocknlol]] [https://conwaylife.com/forums/viewtopic.php?p=143277#p143277 finds] a 23&amp;times;15 predecessor to a [[breeder]], beating out [[Luka Okanishi]]'s recent 26&amp;times;18 pattern for the title of the smallest quadratic growth predecessor by [[bounding box]]. A few days later, this predecessor is further reduced to 23&amp;times;13.<br /> * '''March 22-23''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?p=143253#p143253 posts] a series of binary slow salvo recipes for the 17-glider [[reverse caber tosser]] that greatly simplify the problem of producing a complete proof-of-concept of RCT construction... not that it's all done yet!<br /> * '''March 17''': New forum user 'Game of Life Fun' [https://conwaylife.com/forums/viewtopic.php?p=143050#p143050 assembles] the first [[gliderless]] [[Gosper glider gun]] [[puffer]].<br /> * '''March 12-15''': [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=142708#p142708 finds] a small [[c/12 diagonal]] [[breeder]] using a custom [[apgsearch]] symmetry, with a 26&amp;times;18 predecessor [https://conwaylife.com/forums/viewtopic.php?p=142715#p142715 found] by [[Luka Okanishi]] and [[22-cell quadratic growth|a 22-cell predecessor]] [https://conwaylife.com/forums/viewtopic.php?p=142738#p142738 found] by [[David Raucci]] breaking the records for the smallest [[bounding box]] and [[population]], respectively, of a pattern exhibiting [[quadratic growth]]. Three days later, [[dani]] [https://conwaylife.com/forums/viewtopic.php?p=142905#p142905 finds] a [[21-cell quadratic growth|21-cell solution]] with a different breeder.<br /> * '''March 11''': [[Nathaniel Johnston]] [https://conwaylife.com/forums/viewtopic.php?p=142667#p142667 announces] the official launch of the textbook ''[[Conway's Game of Life: Mathematics and Construction]]''.<br /> * '''March 8''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=142538#p142538 posts] an SSGRL ([[self-synthesizing glide-reflecting loopship]]) with a design similar to last year's [[self-synthesizing oblique loopship]].<br /> * '''March 4''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=142429#p142429 discovers] a pair of [[dart]]s via a symmetric [[soup search]], making it the first {{periodS|3}} [[spaceship]] to occur [[semi-natural]]ly.<br /> * '''March 4''': [[iNoMed]] [https://conwaylife.com/forums/viewtopic.php?p=142407#p142407 discovers] [[30P3]], a custom-built {{period|3}} [[sparker]] which can be used to construct a record-breaking 51-cell p48 oscillator when combined with [[Rob's p16]].<br /> * '''March 1''': [[iNoMed]] and [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=142297#p142297 discover] the first p30 gun that does not use the [[queen bee shuttle]].<br /> * '''February 24''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=142084#p142084 discovers] [[58P8H4V0]] via a symmetric [[soup search]], making it the first {{periodS|8}} [[spaceship]] to occur [[semi-natural]]ly.<br /> * '''February 23''': [[Keith Amling]] [https://conwaylife.com/forums/viewtopic.php?p=142060#p142060 discovers] [[232P7H3V0]], the smallest known [[3c/7 orthogonal]] [[spaceship]].<br /> * '''February 21''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=141951#p141951 discovers] a symmetric [[soup]] which takes [[Die hard|2,474 generations to die out completely]], beating the previous &quot;messless [[methuselah]]&quot; record by over 400 ticks.<br /> * '''February 16''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=141729#p141729 discovers] the [[p23 honey farm hassler]], a smaller {{period|23}} [[oscillator]].<br /> * '''February 15''': dani [https://conwaylife.com/forums/viewtopic.php?p=141656#p141656 discovers] a new [[period-30 glider gun]] that uses only a single [[queen bee shuttle]] based on a symmetric 4-[[barrel]]ed gun [https://conwaylife.com/forums/viewtopic.php?p=141655#p141655 discovered] by [[Charity Engine]].<br /> * '''February 14''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=141620#p141620 discovers] [[p4-assisted period-28 glider gun|a smaller p28 glider gun]], with a [[bounding box]] of only 37&amp;times;24, which [[iNoMed]] uses to [https://conwaylife.com/forums/viewtopic.php?p=141628#p141628 construct] a smaller [[period-14 glider gun|pseudo-p14 glider gun]].<br /> * '''February 13''': [[James Pascua]] [https://conwaylife.com/forums/viewtopic.php?p=141608#p141608 discovers] a smaller {{period|62}} [[glider gun]] based on a glider-releasing [[wick]].<br /> * '''February 12''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=141568#p141568 discovers] a symmetric [[soup]] containing a [[bi-gun]], making it the second unique [[gun]] to have occurred [[semi-natural]]ly.<br /> * '''February 11''': [[Charity Engine]] [https://conwaylife.com/forums/viewtopic.php?p=141492#p141492 discovers] [[32P21]], the smallest known {{period|21}} [[oscillator]].<br /> * '''February 10''': On Discord, &quot;mystical&quot; [https://discord.com/channels/357922255553953794/370571014654001154/941302038409674752 uses a modification of apgsearch] to find a period-12 spaceship, [[35P12H6V0]], with a minimum population four cells less than that of the [[Schick engine]], which had been the smallest known period-12 spaceship for about half a century.<br /> * '''January 29''': [[David Raucci]] makes the [https://www.conwaylife.com/w/index.php?title=RLE:Period27glidergun&amp;oldid=100000 100,000th edit] to LifeWiki.<br /> * '''January 29''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=140915#p140915 completes] a [[true]]-period [[period-27 glider gun]] based on a reaction found by [[goldenratio]].<br /> * '''January 26''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=140777#p140777 finds] a synthesis of another [[2c/5]] [[spaceship]], [[70P5H2V0]], based on a final step [https://www.conwaylife.com/forums/viewtopic.php?p=140650#p140650 completed on January 23rd].<br /> * '''January 17''': [[goldenratio]] and [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=140411#p140411 discover] the [[p39 pi-heptomino hassler]], the first {{period|39}} [[oscillator]] not based on an [[LCM]] or glider loop mechanism.<br /> * '''January 13''': [[Ilkka Törmä]] and [[Ville Salo]] [https://www.conwaylife.com/forums/viewtopic.php?p=140258#p140258 solve] the [[unique father problem]] in the positive, providing a 32&amp;times;26 [[still life]] that cannot be constructed from scratch by any means.<br /> * '''January 12''': [[David Raucci]] [https://www.conwaylife.com/forums/viewtopic.php?p=140183#p140183 discovers] [[44P38]], the first {{period|38}} [[oscillator]].<br /> * '''January 11''': [[Martin Grant]] [https://www.conwaylife.com/forums/viewtopic.php?p=140089#p140089 constructs] the first [[pseudo-period]] 16 and 17 [[LWSS]] and [[MWSS]] [[gun]]s. Period 16 is the minimum possible period for a MWSS gun.<br /> * '''January 10''': [[James Pascua]] [https://www.conwaylife.com/forums/viewtopic.php?p=140094#p140094 reduces] the [[period-48 glider gun]] to a bounding box of 31&amp;times;16 - beating [[Three quarters traffic light catalyst|period 46]] for the title of second-smallest known [[glider gun]]. As a corollary, the [https://www.conwaylife.com/forums/viewtopic.php?p=140108#p140108 smallest known] period-96 [[oscillator]] now consists of a p48 gun with a [[boat-bit]].<br /> * '''January 10''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=140063#p140063 completes] a 74-glider synthesis of [[Orion 2]], making it the fifth [[c/4 diagonal]] spaceship (not including the glider!) with a known synthesis.<br /> * '''January 6''': [[Ilkka Törmä]] and [[Ville Salo]] [https://www.conwaylife.com/forums/viewtopic.php?p=139854#p139854 solve] a generalized version of the [[grandfather problem]], proving that for every natural number n, there exists a pattern that has an n-tick predecessor but not an (n+1)-tick predecessor.<br /> * '''January 4''': [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=139761#p139761 further reduces] the [[p32 honey farm hassler]] to only 45 cells.<br /> * '''January 3''': [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=139701#p139701 discovers] a smaller [[p143 Bandersnatch loop]], using only relatively small [[still life]]s, and later [https://www.conwaylife.com/forums/viewtopic.php?p=139714#p139714 constructs] a 58-glider [[synthesis]] of it.<br /> <br /> ==2021==<br /> * '''December 31''': [[Ilkka Törmä]] finds (and [https://www.conwaylife.com/forums/viewtopic.php?p=139666#p139666 posts a few days later]) a 6x3 [[still-life]]-compatible region that can be extended into an infinite [[agar]] that has no predecessors other than itself.<br /> * '''December 21''': [[goldenratio]], [[iNoMed]], and [[praosylen]] [https://www.conwaylife.com/forums/viewtopic.php?p=139175#p139175 construct] a smaller [[period-48 glider gun]], with a bounding box of 35&amp;times;16, the third-smallest of any known unique-period gun.<br /> * '''December 19''': [[Tanner Jacobi]] [https://www.conwaylife.com/forums/viewtopic.php?p=139044#p139044 completes] a small period-126 glider gun using a [[pi]]-[[hassle|hassling]] mechanism, based on contributions by [[David Raucci]], [[iNoMed]], and [[cvojan]].<br /> * '''December 17''': [[Pavel Grankovskiy]] [https://www.conwaylife.com/forums/viewtopic.php?p=138965#p138965 completes] a blueprint laid out by googleplex, to produce a [[QuickSilver Demonoid|QuickSilver self-constructing spaceship]] made with entirely 1990s-era technology such as [[Silver's reflector]]s (but definitely 21st-century design techniques).<br /> * '''December 14–21''': [[cvojan]] [https://www.conwaylife.com/forums/viewtopic.php?p=138895#p138895 discovers] the [[traffic stop|three quarters traffic light catalyst]], resulting in [[hassler]]s of periods 36, 48, and 60. Later, cvojan [https://www.conwaylife.com/forums/viewtopic.php?p=139008#p139008 constructs] a smaller [[p76 pi-heptomino hassler]], with only 57 cells, using this hassling reaction as a [[catalyst]], while [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=139147#p139147 constructs] a smaller [[period-46 glider gun]] with a [[bounding box]] of 37&amp;times;15, the second-smallest of any known gun.<br /> * '''December 11''': [[David Raucci]] [https://www.conwaylife.com/forums/viewtopic.php?p=138670#p138670 assembles] a [[bouncer]] with repeat time 22 and period 11, a previously unknown period for bouncers (though it was known for [[bumper]]s).<br /> * '''December 10''': [[FractalFusion]] [https://www.conwaylife.com/forums/viewtopic.php?p=138634#p138634 constructs] [[statorless]] [[oscillator]]s for all periods that are multiples of 33.<br /> * '''November 29''': [[Pavel Grankovskiy]] [https://www.conwaylife.com/forums/viewtopic.php?p=138191#p138191 completes] &quot;DOGun SaGaQR&quot;, a &quot;shapeshifting&quot; pattern that can be adjusted to become a [[diehard]], high-period [[Volatility#Oscillators_with_volatility_1|volatility 1 oscillator]], 4-[[barrel]]led glider [[gun]], c/24 [[spaceship]], single [[glider]], or [[quadratic growth]] [[replicator]].<br /> * '''November 28''': [[Luka Okanishi]] and [[Tanner Jacobi]] construct the first [[true-period]] [[glider gun]]s of periods [https://www.conwaylife.com/forums/viewtopic.php?p=138155#p138155 51] and [https://www.conwaylife.com/forums/viewtopic.php?p=138157#p138157 49] respectively using [[hotcrystal0_reaction|a base reaction]] by [[wwei23]] and [[hotcrystal0]].<br /> * '''November 23–24''': [[Martin Grant]], [[Tanner Jacobi]], and [[Matthias Merzenich]] [https://www.conwaylife.com/forums/viewtopic.php?p=138057#p138057 complete] a period-20 partial found by [[David Raucci]] to construct a record-breaking [[period-20 glider gun]].<br /> * '''November 20''': [[Dongook Lee]] [https://www.conwaylife.com/forums/viewtopic.php?p=137874#p137874 finds] [[62P7]], a new period-7 [[domino]] [[sparker]] that's more accessible than [[132P7]], stronger than [[hebdarole]], and '''much''' smaller than [[754P7]] (which itself can be reduced to 678 cells with this same discovery).<br /> * '''November 18''': [[Dongook Lee]] [https://www.conwaylife.com/forums/viewtopic.php?p=137807#p137807 discovers] the first [[strictly volatile p4]] oscillator.<br /> * '''November 17''': [[Rocknlol]] [https://www.conwaylife.com/forums/viewtopic.php?p=137788#p137788 discovers] several new [[Max]] predecessors using [[LogicLifeSearch]] including, among others, one with only 151 cells and another with a [[bounding box]] of only 25&amp;times;21, making them the smallest known [[spacefiller]]s by these metrics.<br /> * '''November 17''': [[May13]] [https://www.conwaylife.com/forums/viewtopic.php?p=137751#p137751 constructs] the first clean c/6 orthogonal [[rake]] using 8 copies of a dirty p1212 puffer, and [[iNoMed]] quickly [https://www.conwaylife.com/forums/viewtopic.php?p=137752#p137752 reduces] this to 4 copies.<br /> * '''November 13''': Using the new [[weekender]] recipe, [[Goldtiger997]] and [[Dave Greene]] [https://conwaylife.com/forums/viewtopic.php?p=137616#p137616 complete] a glider-to-weekender converter less than a quarter of the size of the previous mechanism, with an option to produce [[doo-dah]] spaceships instead.<br /> * '''November 13''': [[Luka Okanishi]] [https://www.conwaylife.com/forums/viewtopic.php?p=137600#p137600 assembles] a working [[elementary]] Herschel merge circuit.<br /> * '''November 13''': With population optimization help from [[Entity Valkyrie]], [[Dongook Lee]] [https://conwaylife.com/forums/viewtopic.php?p=137595#p137595 finds] [[180P8]], a very high-[[clearance]] [[domino]] sparker that is a significant reduction to the previously known [[230P8]].<br /> * '''November 10''': [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=137484#p137484 announces] yet another size reduction for the [[period-144 glider gun]] using a [[transparent]]-[[blinker]] [[component]].<br /> * '''October 22''': [[MathAndCode]] [https://www.conwaylife.com/forums/viewtopic.php?p=136897#p136897 discovers] a [[phase shift]] reaction for [[50P9]] with period 9n-1.<br /> * '''October 21''': Various users [https://www.conwaylife.com/forums/viewtopic.php?p=136864#p136864 discover] new [[p3 pipsquirter]]s which can be used to support the [[carnival shuttle]].<br /> * '''October 13''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=136580#p136580 completes] a Python script capable of assembling the Nth [[Canada Grey]] [[greyship]] for N&gt;2, at a cost of 84N&lt;sup&gt;2&lt;/sup&gt; + 371.5N + 204 - 43.5*MOD(N,2) [[glider]]s.<br /> * '''October 12''': [[83bismuth38]] [https://www.conwaylife.com/forums/viewtopic.php?p=136555#p136555 discovers] [[66P62]], the smallest known {{period|62}} [[oscillator]].<br /> * '''October 11''': [[Nicolas Loizeau]] ('Coban' on the forums) posts a [https://www.conwaylife.com/forums/viewtopic.php?p=136626#p136536 new scalable programmable 8-bit computer] (and accompanying video).<br /> * '''September 23''': The textbook ''[[Conway's Game of Life: Mathematics and Construction]]'' by [[Nathaniel Johnston]] and [[Dave Greene]] is opened up to beta readers, available as a PDF at https://conwaylife.com/book/. Feedback can be submitted in [https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=5418 this thread].<br /> * '''September 19''': [[Rocknlol]] [https://www.conwaylife.com/forums/viewtopic.php?p=135872#p135872 finds] new record-breaking small 'pure nonfillers', one with 209 ON cells and one with a 33-by-27 bounding box. <br /> * '''September 17''': [[Dongook Lee]] and others, in a [https://discord.com/channels/357922255553953794/370571014654001154/888333616952770560 Discord discussion], improve the [[period-55 glider gun]] with new customized p5 sparkers, making it the second-smallest odd-period gun after the [[period-21 glider gun]] by minimum population, and the outright smallest by bounding box.<br /> * '''September 16''': [[David Raucci]] completes a new and significantly smaller [[true]] period [[period-54 glider gun]], with improvements based on a [https://discord.com/channels/357922255553953794/370571014654001154/888137152616083506 Discord collaboration].<br /> * '''September 14''': [[David Raucci]] [https://www.conwaylife.com/forums/viewtopic.php?p=135748#p135748 discovers] a smaller [[true-period]]-32 [[glider gun]] based on a new engine.<br /> * '''September 9''': [[David Raucci]] and [[Aidan F. Pierce]] [https://www.conwaylife.com/forums/viewtopic.php?p=135635#p135635 discover] the [[p32 honey farm hassler]], the smallest known {{period|32}} [[oscillator]], and [[Matthias Merzenich]] uses the underlying reaction to [https://www.conwaylife.com/forums/viewtopic.php?p=135636#p135636 construct] the first [[true-period]]-32 [[glider gun]].<br /> * '''August 29-September 6''': iNoMed and others, in a [https://discord.com/channels/357922255553953794/370571014654001154/881531301772029973 Discord discussion], radically improve the glider synthesis of the [[weekender]] from 56 gliders down to only 33, and reducing the [[repeat time]] from 444 [[tick]]s to 347 for a related 35-glider version (for 33G it's 427 ticks, and for 34G it's 447 ticks), making it one of the few known [[spaceship]]s besides the [[*WSS]]es that cost less than one glider per bit to synthesize.<br /> * '''August 24''': Matthias Merzenich [https://www.conwaylife.com/forums/viewtopic.php?p=135235#p135235 constructs] a period-18 reflector capable of reflecting a period-18 glider stream based on an oscillator by [[David Raucci]].<br /> * '''August 24''': [[Catagolue]] is updated to allow larger tabulations in the form of linked fragments, [https://discord.com/channels/357922255553953794/420789213466853387/879876922014851152 enabling] among other things storage of all xs21s (still lifes consisting of 21 bits).<br /> * '''August 23''': Matthias Merzenich [https://www.conwaylife.com/forums/viewtopic.php?p=135199#p135199 constructs] a new period-45 glider [[gun]] based on a partial result by David Raucci.<br /> * '''August 21''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=135135#p135135 re-uses SMOS technology] to build a [[RRO|reflectorless rotating oscillator]] with loopability 1, 2, 3, 4, and 6; with minor adjustments it can reach loopability 7, 10, or 11 (but not 8, 9, or 12 or higher).<br /> * '''August 2''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=134389#p134389 constructs] the first explicit example of a [[SMOS|spaceship made of spaceships]] in Conway's Game of Life.<br /> * '''August 1''': [[Tanner Jacobi]] [https://discordapp.com/channels/357922255553953794/370571014654001154/871483361435209748 constructs] the first [[true]]-period [[Period-21_glider_gun|period-21 gun]] using a new period-21 oscillator by [[David Raucci]].<br /> * '''July 30''': [[Martin Grant]] [https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=134269#p134269 constructs] a [[T-nosed p7]] using a reaction from 2016.<br /> * '''July 25''': [[Goldtiger997]] published the [https://www.conwaylife.com/forums/viewtopic.php?p=134059#p134059 detailed recipes] needed to synthesize an infinite family of increasingly larger greyships.<br /> * '''July 12''': [[James Pascua]] and [[Matthias Merzenich]] [https://www.conwaylife.com/forums/viewtopic.php?p=133473#p133473 discover] [[90P51]], a two-cell reduction to the smallest known non-trivial p51 oscillator.<br /> * '''July 9''': [[iNoMed]] [https://www.conwaylife.com/forums/viewtopic.php?p=133286#p133286 discovers] an 83-cell variant of the [[p25 pre-pulsar shuttle]], making it the smallest known period-25 [[oscillator]].<br /> * '''July 6''': [[David Raucci]] [https://www.conwaylife.com/forums/viewtopic.php?p=133141#p133141 discovers] a new glider gun engine with [[period-117 glider gun|period 117]].<br /> * '''July 1''': [[Martin Grant]] and Goldtiger997 [https://conwaylife.com/forums/viewtopic.php?p=132872#p132872 complete] the synthesis of the [[greyship]] from June 20th in 753 gliders.<br /> * '''June 20''': Goldtiger997 [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1557&amp;p=132334#p132334 completes] the final step of a [[greyship]] [[glider synthesis]].<br /> * '''June 18''': Adam P. Goucher [https://discord.com/channels/357922255553953794/370571014654001154/85543598338631273434 adds] to [[Catagolue]] the ability to recognize glider guns with up to four-digit periods, which can now be submitted to the collection via the nonmagical box at the bottom of the &quot;Syntheses&quot; page.<br /> * '''May 17''': Matthias Merzenich [https://www.conwaylife.com/forums/viewtopic.php?p=130340#p130340 constructs] a new [[period-20 glider gun]] based on a period-20 oscillator by [[wwei23]] and [[David Raucci]].<br /> * '''May 14-21''': Frank Everdij discovers [https://www.conwaylife.com/forums/viewtopic.php?p=130230#p130230 two] [https://www.conwaylife.com/forums/viewtopic.php?p=130622#p130622 new] elementary [[c/6 diagonal]] spaceships using [[ikpx2]].<br /> * '''May 9''': Adam P. Goucher [https://www.conwaylife.com/forums/viewtopic.php?p=129942#p129942 constructs] period-12 knightpuffer and knightrake technology using variants of the new [[sprayer]] [[knightship]]; this is quickly followed by other puffer and rake periods such as a [https://www.conwaylife.com/forums/viewtopic.php?p=129945#p129945 p48 mechanism] by cvojan.<br /> * '''May 9''': After a three-month, 16-thread [[ikpx2]] search, Adam P. Goucher [https://www.conwaylife.com/forums/viewtopic.php?p=129937#p129937 finds] a completion for a second [[elementary]] [[knightship]] front end found by [[Dylan Chen]], which is known as the [[sprayer]] due to a huge accessible side spark at the front.<br /> * '''April 13 - June 30''': [[David Raucci]] discovers many previously unseen oscillators, glider gun mechanisms, etc., including [[Raucci's p74]], using a [https://conwaylife.com/forums/viewtopic.php?p=130212#p130212 new search script] that finds spark support for hassling common active objects in various symmetries.<br /> * ''' April 11''': David Raucci [https://www.conwaylife.com/forums/viewtopic.php?p=128061#p128061 finds] a new [[p76 pi-heptomino hassler]] oscillator, which is quickly [https://www.conwaylife.com/forums/viewtopic.php?p=128083#p128083 reduced to a monomer form] by JP21, A for awesome, and [[Matthias Merzenich]].<br /> * ''' April 10-14''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=128012#p128012 completes] a 152-glider synthesis of a third c/4 orthogonal spaceship, [https://catagolue.hatsya.com/object/xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221/b3s23 61P4H1V0.1]; within four days this was reduced to an [http://catagolue.appspot.com/object?apgcode=xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221&amp;rule=b3s23 89-glider synthesis].<br /> * ''' March 19''': Matthias Merzenich [https://www.conwaylife.com/forums/viewtopic.php?p=126154#p126154 discovers] a new [[weekender]] tagalong.<br /> * ''' March 18''': Results for the 2020 [[Pattern of the Year]] competition include a tie for first place between the [[Bandersnatch]] and the [[Speed Demonoid]].<br /> * ''' March 17''': A small synthesis efficiency improvement project, [https://www.conwaylife.com/forums/viewtopic.php?p=125927#p125927 12-in-7] (12-bit still lifes constructed with 7 gliders or less) is completed, with 13 expensive syntheses reduced to below the target cost in less than a week.<br /> * ''' March 17''': [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=5066 Pattern of the Year voting], on a record-breaking thirty-nine entries for 2020, will close on March 17th.<br /> * '''March 12''': The 20-bit [[still life]] [[glider synthesis]] [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/xs20 project] is [https://www.conwaylife.com/forums/viewtopic.php?p=125259#p125259 completed].<br /> * '''March 7-8''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=124810#p124810 completes] a 215-glider recipe for [https://catagolue.hatsya.com/object/xq4_2534uof1u0u1fou4352zy087084048078zx3igi3x3igi3/b3s23 72P4H1V0], the second c/4 orthogonal spaceship to be synthesized.<br /> * '''February 10-11''': [[Chris Rowett]] uses [[ikpx2]] to discover several new moving objects, including a [https://conwaylife.com/forums/viewtopic.php?p=122299#p122299 p120 2c/5 puffer] and [https://conwaylife.com/forums/viewtopic.php?p=122454#p122454 c/5 diagonal tubstretcher, tagalong, and spaceship].<br /> * '''February 4-11''': [[Tanner Jacobi]], EvinZL, [[Louis-François Handfield]] and [[Sphenocorona]] [https://conwaylife.com/forums/viewtopic.php?p=121723#p121723 find] new Herschel-to-glider [[converter]]s and variants of existing H-to-Gs: NW26T157b, NE30T17_NE1T22, NW10T137, SW-18T136 and a [[Spartan]] SE16T36b.<br /> * '''January 11-March 8''': [[Hartmut Holzwart]] [https://conwaylife.com/forums/viewtopic.php?p=121698#p121698 completes] [https://conwaylife.com/forums/viewtopic.php?p=121889#p121889 several] new [[chicken wire]] [[greyship]]s with different widths of chicken wire, with specific examples constructed for widths 2 through 12 among others.<br /> * '''January 25''': [[Catagolue]]'s [[B3/S23]]/[[C1]] census [https://catagolue.hatsya.com/census/b3s23/C1-2021-01-25 reaches] a total of one quadrillion objects.<br /> * '''January 24''': [[goldenratio]] and [[bubblegum]] [https://www.conwaylife.com/forums/viewtopic.php?p=120269#p120269 construct] a [[glider synthesis]] for [[edge-repair spaceship 1]].<br /> * '''January 17''': [[wwei23]] [https://www.conwaylife.com/forums/viewtopic.php?p=119411#p119411 discovers] [[1320P7]], a large but high-clearance {{period|7}} [[sparker]] [[oscillator]].<br /> * '''January 16''': [[Dylan Chen]] [https://www.conwaylife.com/forums/viewtopic.php?p=119406#p119406 discovers] [[52513M]], the new longest-lasting known [[methuselah]] within a 16&amp;times;16 [[bounding box]], just a week after the discovery of 50093M.<br /> * '''January 16''': [[Adam P. Goucher]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=119342#p119342 completes] a [[2c/5 orthogonal|2c/5]] [[waveguide]] for an oblique line of [[ants]] based on a partial result by [[Matthias Merzenich]].<br /> * '''January 10''': [[Alex Greason]] [https://conwaylife.com/forums/viewtopic.php?p=118703#p118703 makes available] a fresh set of transfer.py results. Fewer than 535 20-bit still lifes have no known glider synthesis, and 135 of these have soups available on [[Catagolue]] to assist with synthesis.<br /> * '''January 10''': [[Dylan Chen]] [https://www.conwaylife.com/forums/viewtopic.php?p=118727#p118727 discovers] another new [[3c/7]] spaceship, using [[Andrew J. Wade]]'s December update to [[LSSS]]. This is the first small 3c/7 spaceship with [[gutter symmetry]].<br /> * '''January 9''': [[Rob Liston]] [https://www.conwaylife.com/forums/viewtopic.php?p=118690#p118690 discovers] [[50093M]], the longest-lasting known [[methuselah]] within a 16&amp;times;16 [[bounding box]], using [[apgsearch]].<br /> * '''January 5''': [[Bullet51]] [https://www.conwaylife.com/forums/viewtopic.php?p=118256#p118256 uses ikpx2 to find] a third [[elementary]] [[c/6 diagonal]] [[spaceship]].<br /> * '''January 5''': [[Martin Grant]] [https://www.conwaylife.com/forums/viewtopic.php?p=118240#p118240 discovers] a new variant of a known [[H-to-G]] [[conduit]], NE16T14, with likely applications as a [[reflector]] and merge circuit in [[single-channel]] self-constructing circuitry.<br /> * '''January 5''': [[Sphenocorona]] and [[Luka Okanishi]] assemble a new elementary conduit, [https://www.conwaylife.com/forums/viewtopic.php?p=118100#p118100 HF96P], which allows for the creation of several new Herschel-to-glider [[converter]]s.<br /> * '''January 2-3''': bubblegum [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=117681#p117681 discovers] a new 3c/7 orthogonal [[Puffer#Puffer_engine|puffer engine]], allowing [[Matthias Merzenich]] and iNoMed to [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=117798#p117798 construct] the first clean 3c/7 [[rake]].<br /> <br /> ==2020==<br /> * '''December 28-31''': [[Dylan Chen]] discovers [[Anura]] ([https://www.conwaylife.com/forums/viewtopic.php?p=117159#p117159]) and [[Soba]] ([https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=117548#p117548]), the two smallest known [[3c/7 orthogonal]] spaceships, as stabilizations of the same frontend, and also a much smaller front end for the [[spaghetti monster]] on January 4.([https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=118021#p118021])<br /> * '''December 28''': ''The New York Times'' [https://www.nytimes.com/2020/12/28/science/math-conway-game-of-life.html publishes an article] reflecting on 50 years of Conway's Game of Life.<br /> * '''December 20''': A [[Bellman]] [https://www.conwaylife.com/forums/viewtopic.php?p=116491#p116491 search] by [[Tanner Jacobi]] turns up a new [[stable]] [[catalyst]] that can reset a [[beehive]] that has been pushed over by one cell by a collision.<br /> * '''December 17''': [[Tanner Jacobi]] discovers [https://discord.com/channels/357922255553953794/370571014654001154/789169624842371122 a p61 pattern] that moves one cell per cycle, and can be supported by single-bit sparks, glider streams, or additional copies of the pattern on each side.<br /> * '''December 15''': [[Matthias Merzenich]] [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=115869#p115869 constructs] the first [[Gun#True-period_guns|true]] [[period-28 glider gun]].<br /> * '''December 6''': John Winston Garth [https://www.conwaylife.com/forums/viewtopic.php?p=114481#p114481 discovers] [[doo-dah]], a new small period-21 [[tagalong]] for the [[weekender]], which can be used to create various [[2c/7 orthogonal]] [[puffer]]s and [[rake]]s.<br /> * '''December 5''': [[User_talk:MathAndCode|MathAndCode]] and [[User:yujh|yujh]] [https://www.conwaylife.com/forums/viewtopic.php?p=114356#p114356 discover] 'NW26T157', a new [[Spartan]] conduit that converts a Herschel into three gliders, similar to [[NW31]] but with one glider on an output [[lane]] of a different [[color]].<br /> * '''December 3-4''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=114036#p114036 finds] a final step for a [[turtle]] [[synthesis]], followed by a [https://www.conwaylife.com/forums/viewtopic.php?p=114209#p114209 complete 241-glider synthesis] the next day.<br /> * '''November 24''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=112239#p112239 completes] a [[barge crosser]], a mechanism which allows a glider signal to cross an arbitrarily long barge without causing permanent damage.<br /> * '''November 18''': [[Goldtiger997]] finds [https://www.conwaylife.com/forums/viewtopic.php?p=111260#p111260 glider recipes] that can convert M2 [[minstrel]]s into M3 minstrels and vice versa.<br /> * '''November 15''': [[wwei23]] [https://conwaylife.com/forums/viewtopic.php?p=110875#p110875 discovers] a new [[sparker]], a period-9 version of a [[heavyweight emulator]].<br /> * '''October 30''': [[Golly]] 4.0 is [https://www.conwaylife.com/forums/viewtopic.php?p=108478#p108478 officially released].<br /> * '''October 16''': [[Andrew Trevorrow]] makes available the first beta builds for [https://conwaylife.com/forums/viewtopic.php?p=106785#p106785 Golly 4.0], supporting Python 3.x and new rule types and neighborhoods, and enabling multi-color &quot;Super&quot; and &quot;History&quot; support for a wide range of two-state rules.<br /> * '''September 27''': A [[burloaferimeter]] variant [https://www.conwaylife.com/forums/viewtopic.php?p=105040#p105040 appears] in an asymmetric [[soup]] found by [[Rob Liston]], making it the first natural {{period|7}} oscillator.<br /> * '''September 26''': [[Pavel Grankovskiy]] [https://www.conwaylife.com/forums/viewtopic.php?p=104930#p104930 completes] [[Speed Demonoid]] version 2, removing the 2c/9 limitation; a [https://www.conwaylife.com/forums/viewtopic.php?p=105167#p105167 Golly script] can now build a spaceship with any rational diagonal speed below c/4 (subject to some practical size limitations).<br /> * '''September 19''': [[MathAndCode]] and [[Adam P. Goucher]] [https://www.conwaylife.com/forums/viewtopic.php?p=104484#p104484 construct] a 17-glider [[reverse caber-tosser]], proving that all [[synthesizable]] patterns can be made with no more than 17 gliders and that all synthesizable [[still life]]s can be constructed with no more than one glider per [[bit]].<br /> * '''September 19''': [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=104453#p104453 synthesizes] [[55P9H3V0]], the first period-9 spaceship to be synthesized.<br /> * '''September 18''': [[Pavel Grankovskiy]] [https://www.conwaylife.com/forums/viewtopic.php?p=104423#p104423 constructs] a complete [[Speed Demonoid]], using double [[crabstretcher]]s to accelerate a [[self-constructing]] [[spaceship]] to 3492022/17833792=1746011/8916896 ≈ 0.1958c, very close to c/5. The new spaceship can be adjusted to match any rational speed slower than 2c/9.<br /> * '''September 15''': [[wwei23]] [https://www.conwaylife.com/forums/viewtopic.php?p=104102#p104102 discovers] several new 3-engine Corderships, including one that cleans up its trailing blocks with sideways gliders, similar to a 5-, 6-, or [[7-in-a-row Cordership]].<br /> * '''September 9-17''': [[wwei23]] assembles a new type of period-192 [[4-in-a-row Cordership]], and later constructs [https://www.conwaylife.com/forums/viewtopic.php?p=104307#p104307 glider-to-Cordership] and [https://www.conwaylife.com/forums/viewtopic.php?p=104367#p104367 Cordership-to-glider] [[converter]]s for it.<br /> * '''August 29''': [[User:Goldtiger997|Goldtiger997]] completes a [[synthesis]] of the first known [[2c/5]] [[spaceship]], [[44P5H2V0]], almost thirty years after its discovery; this is the third completed synthesis for a 2c/5 spaceship.<br /> * '''August 23''': [[Adam P. Goucher]] adds to [[slmake]] a fast elbow push recipe created by [[Pavel Grankovskiy]], based on a [[c/4]] diagonal [[crab]] [[wickstretcher]]. This means that [[recipe]]s for self-constructing structures with a not-quite-attainable limit speed of c/4 can now be semi-automatically compiled.<br /> * '''August 16''': [[Tanner Jacobi]] [https://www.conwaylife.com/forums/viewtopic.php?p=102367#p102367 discovers] a 14-glider recipe for a [[crab]] spaceship, down from the previous cost of 16, which can be used to reduce the size and construction cost of a wickstretcher [[seed]].<br /> * '''August 14''': [[Rob Liston]] [https://www.conwaylife.com/forums/viewtopic.php?p=102387#p102387 finds] via [[apgsearch]] a third natural [[loafer]] emerging from asymmetric [[soup]].<br /> * '''August 10''': Syntheses of a variety of [[pufferfish spaceship]]s make their way to [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/xq36 Catagolue], thanks to an extension of the time required in online recipe submissions for all gliders to react.<br /> * '''August 2-18''': [[Tanner Jacobi]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=101555#p101555 completes] and later [https://www.conwaylife.com/forums/viewtopic.php?p=102465#p102465 improves] a [[1G seed]] for a c/4 diagonal [[wickstretcher]], enabling [[self-constructing]] spaceships with the fastest possible diagonal speed of (just below) [[c/4]].<br /> * '''July 29''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=101323#p101323 constructs] a fast diagonal [[Demonoid]] puffer with velocity (4825784,4825784)c/45679544.<br /> * '''July 21''': [[Adam P. Goucher]] [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=100871#p100871 reduces] the cost of the [[reverse caber-tosser]] constructor to 32 gliders.<br /> * '''July 20''': [[A for awesome]] [https://www.conwaylife.com/forums/viewtopic.php?p=100822#p100822 completes] a new stable [[L122]] Herschel conduit, based on a [https://www.conwaylife.com/forums/viewtopic.php?p=100724#p100724 P2 periodic variant] by [[User:Entity Valkyrie 2|Entity Valkyrie]].<br /> * '''July 18''': A [[glider synthesis]] of [[70P2H1V0.1]] is [https://catagolue.hatsya.com/object/xq2_jimmgozmgmkqa323ms8zq2qamkgggqe4ziiqq26101z1/b3s23 posted to Catagolue] by [[Martin Grant]], making 70P2H1V0.1 the first period-2 spaceship to be synthesized.<br /> * '''July 7''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=100181#p100181 completes] a record-breaking [[seed]] [[constellation]] that, when triggered by a single gliders, turn into a clean 100-glider recipe for a c/5 spaceship, [[58P5H1V1]]. This potentially improves the unreachable upper bound on Demonoid speed from c/12 to c/5.<br /> * '''July 1''': A [https://www.conwaylife.com/forums/viewtopic.php?p=99834#p99834 collaborative effort] results in a series of HWSS Heisenburp circuits much smaller than the previous best known devices. Recovery time is under 1400 ticks. Some versions can also detect [[flotilla]]s with an HWSS along one edge.<br /> * '''June 20-30''': Several new signal converter circuits are constructed, including [[Luka Okanishi]]'s [https://www.conwaylife.com/forums/viewtopic.php?p=99516#p99516 242-tick 30P5H2V0-to-G] and [[Goldtiger997]]'s 290-tick [https://www.conwaylife.com/forums/viewtopic.php?p=99516#p99196 HWSS-to-G]. Many others are catalogued [[User:Goldtiger997/Spaceship_Stable_Circuitry|here]].<br /> * '''June 6-30''': [https://www.conwaylife.com/forums/viewtopic.php?p=99834#p99834 JP21's] and then [https://www.conwaylife.com/forums/viewtopic.php?p=99833&amp;#p99833 Jeremy Tan's] eater collections spark new interest, and eaters are found for several previously inedible spaceships such as [[dragon]], [[Canada goose]], and [[brain]].<br /> * '''June 8''': A [https://conwaylife.com/forums/viewtopic.php?p=98622#p98622 collaborative effort] produces a fully universal *WSS-to-glider [[converter]] that recovers in only 588 ticks, and works even if moved by an odd number of cells along the input [[lane]].<br /> * '''June 7''': [[Matthias Merzenich]] [http://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=98586#p98586 completes] an adjustable-width [[c/5 orthogonal]] [[wickstretcher]] using components by [[Keith Amling]] and [[Hartmut Holzwart]].<br /> * '''June 5''': [[Entity Valkyrie]] completes a mechanism suggested by [[Martin Grant]] to make a [[Bandersnatch]], a [[glider-constructible]] [[color-changing]] glider shifter with a recovery time of only 70 ticks.<br /> * '''May 25''': [[Louis-François Handfield]] and [[Goldtiger997]] [https://www.conwaylife.com/forums/viewtopic.php?p=97701#p97701 find] improved [[highway robber]]s with better [[clearance]] and 876- and 873-tick [[recovery time]]s.<br /> * '''May 22''': [[Entity Valkyrie]] [https://www.conwaylife.com/forums/viewtopic.php?p=97489#p97489 constructs] a [[gun]] for [[58P5H1V1]], the first gun to produce a [[c/5 diagonal]] spaceship.<br /> * '''May 9''': The [[silverfish]], a self-supporting 31c/240 [[caterpillar]]-type spaceship designed using the [[slow salvo]] recipe from the [[Centipede]] but a simpler front end, [https://www.conwaylife.com/forums/viewtopic.php?p=96462#p96462 is completed].<br /> * '''May 6''': [[Goldtiger997]] solves the problem of glider-constructing all [[Still_life#Pseudo_still_lifes|pseudo still life]]s consisting of [https://www.conwaylife.com/forums/viewtopic.php?p=96210#p96210 4&amp;times;N chunks] of blocks [[agar]].<br /> * '''May 3-4''': [[Louis-François Handfield]] adapts [[Martin Grant]]'s new [https://www.conwaylife.com/forums/viewtopic.php?p=95988#p95988 HL161H conduit] to make a new compact [[color-changing]] [[edge shooter]], [https://www.conwaylife.com/forums/viewtopic.php?p=96093#p96093 HSW47T214].<br /> * '''Apr. 21''': [[Rob Liston]] [https://www.conwaylife.com/forums/viewtopic.php?p=95336#p95336 discovers] [[49768M]], the longest-lasting known [[methuselah]] fitting within a 16&amp;times;16 [[bounding box]].<br /> * '''Apr. 11''': [[John Horton Conway]], the inventor of [[Conway's Game of Life]], dies in Princeton, NJ at the age of 82.<br /> * '''Apr. 8''': [[Louis-François Handfield]] [https://www.conwaylife.com/forums/viewtopic.php?p=93647#p93647 constructs] a much faster and more compact [[universal regulator]].<br /> * '''Apr. 3''': [[Goldtiger997]], [[Tanner Jacobi]], and others [https://www.conwaylife.com/forums/viewtopic.php?p=93167#p93167 complete] the [[glider synthesis]] for [[58P5H1V1]], the first synthesis for a [[c/5 diagonal]] [[spaceship]].<br /> * '''Apr. 1''': A [[loafer]] [https://www.conwaylife.com/forums/viewtopic.php?p=93011#p93011 appears] for the first time in an [[asymmetric]] [[soup]], submitted to [[Catagolue]] by [[John Goodman]]. Coincidentally, this occurred exactly two years after [[Dave Greene]] [https://www.conwaylife.com/forums/viewtopic.php?p=58727#p58727 posted] a fake soup for April Fools' Day 2018.<br /> * '''Mar. 25''': [[Martin Grant]] and others [https://www.conwaylife.com/forums/viewtopic.php?p=92323#p92323 complete] the [[glider synthesis]] for [[56P6H1V0]], the first synthesis for a [[c/6 orthogonal]] [[spaceship]] and the first for a {{periodS|6}} [[spaceship]].<br /> * '''Mar. 22''': [[Andrew J. Wade]] uses [https://gitlab.com/andrew-j-wade/life_slice_ship_search life_slice_ship_search] to find [[186P7H2V0]], a third [[2c/7 orthogonal]] spaceship, part of an infinite family based on a known 2c/7 [[wave]].<br /> * '''Mar. 22''': [[Goldtiger997]] completes the activation stage for a recipe for [[56P6H1V0]], which along with the [[spider]] and [[weekender]] is now one of the largest [[elementary]] spaceships for which a [[glider synthesis]] can (presumably) be completed.<br /> * '''Mar. 17''': [[Andrew J. Wade]] [https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=91518#p91518 discovers] [[409P6H1V0]], the narrowest known [[c/6 orthogonal]] spaceship, using [https://gitlab.com/andrew-j-wade/life_slice_ship_search life_slice_ship_search].<br /> * '''Mar. 9''': [[Richard K. Guy]], discoverer of the [[glider]], [https://aperiodical.com/2020/03/richard-k-guy-1916-2020/ passes away] at the age of 103.<br /> * '''Feb. 9''': [[Rob Liston]] [https://www.conwaylife.com/forums/viewtopic.php?p=89261#p89261 discovers] a new p16 oscillator, [[Rob's p16]], using [[apgsearch]]. It is the smallest known p16 by both [[population]] and [[bounding box]], the first p16 to appear from an asymmetric [[soup]], the first [[strictly volatile]] p16, and the first new [[rotor]] to be discovered by asymmetric soup search since the 1980s.<br /> * '''Feb. 8''': All 19-bit [[still life]]s [https://www.conwaylife.com/forums/viewtopic.php?p=89061#p89061 are confirmed] to have valid [[glider syntheses]].<br /> * '''Jan. 26''': [[Dave Greene]] [https://conwaylife.com/forums/viewtopic.php?f=7&amp;t=4279 creates] LifeSuper, an extended version of [[LifeHistory]] for advanced pattern annotation.<br /> * '''Jan. 26''': Entity Valkyrie [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1557&amp;p=88186#p88186 constructs] a period-11040 [[spider]] [[gun]], the first gun to fire a [[c/5 orthogonal]] spaceship.<br /> * '''Jan. 13''': [[Matthias Merzenich]] sets up a [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=4260 new &quot;manually distributed&quot; search] (table [https://conwaylife.com/wiki/User:Sokwe/C/8-width-19 here]), to find out whether a symmetric c/8 spaceship exists at width 19.<br /> * '''Jan. 9''': [[Nathaniel Johnston]] completes a long-running enumeration of [https://www.conwaylife.com/forums/viewtopic.php?p=87225#p87225 34-bit still lifes], finding 35,422,864,104 strict still lifes with 34 bits, and 41,058,173,683 pseudo still lifes with the same bit count, including 26 [[triple pseudo still life]]s.<br /> * '''Jan. 5''': A Rules namespace update on the LifeWiki allows [[LifeViewer]] to display in-browser many patterns using rule tables and trees, which previously couldn't be simulated without copying them into Golly.<br /> <br /> ==2019==<br /> * '''Dec. 30''': [[Andrew J. Wade]] uses his search program, [https://gitlab.com/andrew-j-wade/life_slice_ship_search life_slice_ship_search], to find the second elementary 2c/7 spaceship, [[scholar]].<br /> * '''Dec. 29''': Goldtiger997 [https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=86668#p86668 synthesises] a variant of [[David Hilbert]].<br /> * '''Dec. 28''': [[Martin Grant]] finds a [https://www.conwaylife.com/forums/viewtopic.php?p=86644#p86644 counterexample] to a 22-year old conjecture by [[Dean Hickerson]] about still-life finitization.<br /> * '''Dec. 25''': Pavgran assembles [[Slavic]] [https://www.conwaylife.com/forums/viewtopic.php?p=86540#p86540], a quadratic-growth pattern similar to [[Hydra]] that doesn't need a central gun.<br /> * '''Dec. 9''': Goldtiger997 [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1557&amp;p=86121#p86121 reduces] the cost of the [[spider]] synthesis by over 100 gliders.<br /> * '''Dec. 1''': [[Martin Grant]] [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=85900#p85900 discovers] a new period-49 oscillator based on a partial result by [[Jason Summers]].<br /> * '''Nov. 24''': Luka Okanishi [https://www.conwaylife.com/forums/viewtopic.php?p=85719#p85719 discovers] a [[David Hilbert|period-23 oscillator]], leaving [[Omniperiodic|only four periods]] for which no non-trivial oscillator is known.<br /> * '''Nov. 20''': [[Dongook Lee]] finds a [[p7 pipsquirter]] that is [https://conwaylife.com/forums/viewtopic.php?p=85532#p85532 significantly smaller] than the old [[p7 pipsquirter]], leading to bounding-box reductions in the gun collection and various oscillators.<br /> * '''Nov. 18''': [[Tanner Jacobi]], Goldtiger997 and others find improved recipes for a number of difficult-to-synthesize still lifes, reducing the maximum cost for 16-bit still lifes to [https://www.conwaylife.com/forums/viewtopic.php?p=85457#p85457 14 gliders].<br /> * '''Nov. 17''': Michael Simkin uses [[pi calculator]] and [[Osqrtlogt]] technology to build a Life pattern that prints the song [https://www.conwaylife.com/forums/viewtopic.php?p=85414#p85414 &quot;99 Bottles of Beer on the Wall&quot;].<br /> * '''Nov. 12''': Bullet51 and Aidan F. Pierce discover [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=85245#p85245 new] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=85246#p85246 sparky] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1437&amp;p=85249#p85249 period-13 oscillators].<br /> * '''Nov. 4''': [[Alex Greason]], [[Arie Paap]], BlinkerSpawn, and [[Dongook Lee]] collaborate on the [https://www.conwaylife.com/forums/viewtopic.php?p=84877#p84877 discovery of phoenix agar oscillators] on different-sized tori, which can [https://www.conwaylife.com/forums/viewtopic.php?p=84994#p84994 reproduce the behavior of XOR oscillators] in other rules (see [https://oeis.org/A160657 OEIS A160657]).<br /> * '''Oct. 28''': Goldtiger997 [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1557&amp;p=84593#p84593 finds] a 64-glider [[glider synthesis|synthesis]] for the [[27P4H1V1]] spaceship (later reduced to [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;p=85966#p85966 31 gliders]).<br /> * '''Oct. 22''': Goldtiger997 [https://www.conwaylife.com/forums/viewtopic.php?p=84423#p84423 constructs] a p612 [[gun]] for the [[46P4H1V0]] spaceship.<br /> * '''Oct. 9''': All 18-bit [[still life]]s [https://www.conwaylife.com/forums/viewtopic.php?p=83979#p83979 are confirmed] to have valid [[glider syntheses]].<br /> * '''Sep. 9''': The 17-in-17 Project [http://www.conwaylife.com/forums/viewtopic.php?p=82560#p82560 is completed], showing that every 17-bit [[still life]] can be [[glider synthesis|constructed]] using at most 16 [[glider]]s.<br /> * '''Aug. 15''': Update to a previous news item from 21 April 2019 (see archive): all 15-bit [[still life]]s can [http://conwaylife.com/forums/viewtopic.php?f=2&amp;p=81277#p81277 now be constructed] with at most 12 [[glider]]s.<br /> * '''July 16''': [[Dave Greene]] [http://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=79686#p79686 constructs] a [[large prime oscillator]] with a period equal to the largest Mersenne prime currently known, 2&lt;sup&gt;82589933&lt;/sup&gt;-1.<br /> * '''June 19''': A [http://conwaylife.com/forums/viewtopic.php?p=78036&amp;#p78036 huge long-term collaborative effort] is completed, showing that all glider-constructible [[still life]]s can (at least in theory) be constructed using less than two [[glider]]s per [[bit]].<br /> * '''June 2''': Goldtiger997 completes a [http://conwaylife.com/forums/viewtopic.php?p=77029#p77029 glider-to-25P3H1V0.2 converter], based on [[Martin Grant]]'s [[25P3H1V0.2]] synthesis from 2017.<br /> * '''May 29''': Thomas Cabaret makes available a [https://cp4space.wordpress.com/2019/06/11/self-replicator-caught-on-video/ Passe-Science video] featuring [[self-constructing]] CA patterns, including several minutes showing details of the [[0E0P metacell]].<br /> * '''May 25''': Goldtiger997 completes a [http://conwaylife.com/forums/viewtopic.php?p=76686#p76686 glider-to-crab converter], with the help of a script implementing a universal glider synchronization [[toolkit]].<br /> * '''May 24-30''': christoph.r posts several [http://conwaylife.com/forums/viewtopic.php?p=76645#p76645 unusual breeder designs] based on c/10 technology, including [http://conwaylife.com/forums/viewtopic.php?p=76901#p76901 some variants] on a [[pufferfish]] [[breeder]].<br /> * '''May 9''': GilGil makes available a [http://conwaylife.com/forums/viewtopic.php?p=76571#p76571 huge but elegant 60-line printer] traveling at c/10, based on fleets of [[fireship]]s.<br /> * '''Apr. 21''': [http://conwaylife.com/forums/viewtopic.php?p=75278#p75278 Improvements to glider syntheses] mean that every 15-bit still life has a recipe with at most 13 gliders. For current maximum costs, see the table in [https://conwaylife.com/wiki/Glider_synthesis#Still_life_syntheses Still-life syntheses].<br /> * '''Apr. 17''': [[Tanner Jacobi]] and [[Matthias Merzenich]] set several new bounding-box records with a [http://conwaylife.com/forums/viewtopic.php?p=75185#p75185 new glider gun mechanism] based on filtered MWSSes.<br /> * '''Apr. 14''': [[Michael Simkin]] completes a [[self-constructing]] puffer pattern which he calls [[Remini]] (&quot;retro Gemini&quot;), using a single-channel design with nothing but 1970s circuit mechanisms.<br /> * '''Apr. 10''': [[Jeremy Tan]] releases a new glider recipe database, [http://conwaylife.com/forums/viewtopic.php?p=74753#p74753 Shinjuku], specifically for tracking lowest-cost syntheses.<br /> * '''Apr. 6-7''': [[LifeViewer]] standardizes support for [[triangular neighbourhood]]s starting with Build 320.<br /> * '''Apr. 5''': An exhaustive computer search run by [[Nathaniel Johnston]] reveals that there are 14,223,867,298 strict and 15,851,861,075 pseudo [[:Category:Still lifes with 33 cells|33-bit]] [[still life]]s, including eleven pseudo still lifes that can be partitioned into [[Triple pseudo still life|three stable pieces but not two]], and none that can be partitioned into [[Quad pseudo still life|four stable pieces but not two or three]].[http://conwaylife.com/forums/viewtopic.php?p=74524#p74524]<br /> * '''Mar. 27''': The last remaining [[:Category:Strict still lifes with 14 cells|14-bit]] [[still life]], [https://catagolue.hatsya.com/object/xs14_4ai3zwo9a4/b3s23 xs14_4ai3zwo9a4], appears in a [[symmetry|C1]] [[soup]] on [[Catagolue]], in a haul submitted by an anonymous user.[http://www.conwaylife.com/forums/viewtopic.php?p=74007#p74007]<br /> * '''Mar. 24''': [[apgsearch]] v5.03 gains the ability to log 'megasized' [[soup]]s with final [[population]]s exceeding 3,000.[https://gitlab.com/apgoucher/apgmera/commit/2133cb40147cbb7b70f1a5fb4709f8f3b2feb6f7] [[Apgsearch#Version_5.x|apgsearch 5.x]] can also pre-process asymmetric C1 B3/S23 soups on GPUs with CUDA support.[http://conwaylife.com/forums/viewtopic.php?p=73557#p73557]<br /> * '''Mar. 7''': A [[spider]] [[glider synthesis|synthesis]] using 574 [[glider]]s and 9 [[LWSS]]es is found by [[Martin Grant]]. [http://www.conwaylife.com/forums/viewtopic.php?p=72705#p72705]<br /> * '''Mar. 3''': A [[figure eight on pentadecathlon|period-120 oscillator]], the highest period thus far, occurs from a natural [[soup]] on [[Catagolue]].<br /> * '''Mar. 2''': Several symmetric-soup [[diehard]]s with [https://catagolue.hatsya.com/object/messless_15h/b3s23 lifespans over 1500 ticks] are found by 'carybe', using [[apgsearch]].<br /> * '''Feb. 12''': A [[lightweight Schick engine]] appears from a natural (C1) [[soup]] on [[Catagolue]].<br /> * '''Feb. 9''': A [[47575M|47,575-tick 16x16 methuselah]] found by Adam Goucher via [[apgsearch]] yields a 16-cell, 47,487-tick methuselah. This discovery skips over several empty 1000-tick bins in [[Catagolue]] above the previous record 16x16 methuselah, [[Homer]].<br /> * '''Feb. 4''': A glider detection and removal upgrade in [[apgsearch]] version 4.91 gives a search speed boost of well over 50% compared to version 4.88.<br /> * '''Feb. 4''': [[Tanner Jacobi]] and [[Martin Grant]] [http://www.conwaylife.com/forums/viewtopic.php?p=69591#p69591 find a recipe], subsequently reduced to 88 gliders, for the first-ever synthesizable [[c/4]] spaceship, [[46P4H1V0]].<br /> * '''Jan. 21 - Feb. 1''': Additional (2,1)c/6 [[minstrel]]s and spaceship connections are found, bringing the number of combinations of elementary minstrels into double digits.<br /> * '''Jan. 25''': the ''[[Pattern of the Year#2018|Pattern of the Year 2018]]'' competition concludes, with [[Sir Robin]] taking first place.<br /> * '''Jan. 25''': [[LifeViewer]] [http://conwaylife.com/forums/viewtopic.php?p=68595#p68595 build 282] goes live on the LifeWiki and forums, with several enhancements including new labeling functionality.<br /> * '''Jan. 20''': [[Catagolue]] collects a record-setting longest-lived asymmetrical 16x16 [[diehard]], with a lifespan of 1058 ticks.<br /> * '''Jan. 17''': A new period-8 domino sparker, [[230P8]], is [http://conwaylife.com/forums/viewtopic.php?p=68099p68099 discovered by Arie Paap] and [http://conwaylife.com/forums/viewtopic.php?p=68104#p68104 reduced by 'Bullet51'].<br /> * '''Jan 16-18''': Four new [[minstrel]]s are found, plus a lucky connection of an existing minstrel to [[knightwave]], creating for the first time a [[grammar]] that allows for an infinite number of distinct [[elementary]] [[knightship]]s.<br /> * '''Jan 10''': A new period-24 oscillator, [[dueling banjos]], turns up in an [[apgsearch]] soup search. Uses so far include a smaller [[period-24 glider gun]], with associated improvements to p16 and p48 glider guns and a p48 LWSS gun.<br /> * '''Jan 3-7''': Record-setting [[diehard]]s are found by [[Rob Liston]] and [[Apple Bottom]] via [[apgsearch]].<br /> <br /> ==2018==<br /> * '''Dec 7''': A new oblique [[camelship]], much smaller and lower population than the [[Spaceship#Adjustable_spaceships|Gemini 3 variant]] from 2010, is completed by Chris Cain.<br /> * '''Dec 2''': The value of V, the lowest number for which an oscillator can be constructed with strict [[volatility]] 1 for that or any higher period, is reduced to [http://www.conwaylife.com/forums/viewtopic.php?p=66138#p66138 3,506,909 ticks].<br /> * '''Nov 30''': Adam P. Goucher sets another new record using the latest apgsearch by finding &quot;Homer&quot;, a [[42883M|16x16 methuselah with a lifespan of 42883 ticks]].<br /> * '''Nov 28''': An update to [[slsparse]] allows it to recognize [[45-degree MWSS-to-G]] converters in any orientation, and use unidirectional [[slow salvo]] recipes to construct them.<br /> * '''Nov 18''': Entity Valkyrie discovers a new period-13 [[FNG]] suppression mechanism, allowing the [[true]] [[period-52 glider gun]] to be reduced to less than a seventh of its previous size.<br /> * '''Nov 12''': A working [[0E0P metacell]] is announced by [[Adam P. Goucher]], along with [https://b3s23life.blogspot.com/2018/11/new-tools-for-self-construction.html several improvements] to [[slmake]], the program used to compile the metacell.<br /> * '''Oct 31''': An update to [[apgsearch]] sets another new record by finding a [[42100M|16x16 methuselah]] with a lifespan of 42,100 ticks.<br /> * '''Oct 31''': A self-constructing &quot;loopship&quot;, a new type of spaceship with a non-[[Geminoid]] design, is completed by [[Dave Greene]].<br /> * '''Oct 30''': A [[periodic]] (p5 or p4) [http://www.conwaylife.com/forums/viewtopic.php?p=65290#p65198 quinti-Snark] is constructed by Tanner Jacobi, with the usual implications for reductions to the glider gun collection.<br /> * '''Oct 29''': [[apgluxe]] v4.56-[[lifelib|ll]]2.0.5 and [[Catagolue]] add support for [[BSFKL]] rules.<br /> * '''Oct 28''': A record-setting 39,693-tick methuselah, [[Wilma]], is discovered by [http://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=65124#p65124 Rob Liston] using a custom FPGA [[soup]] searcher.<br /> * '''Oct 27''': An [http://www.conwaylife.com/forums/viewtopic.php?p=65112#p65111 new LWSS synthesis] by [[Chris Cain]] allows for [[LWSS]], [[MWSS]], and [[HWSS]] guns with [[pseudo]] [[period]]s as low as 18. 18 is the minimum for HWSS streams.)<br /> * '''Oct 21''': [[Hartmut Holzwart]] completes a [http://www.conwaylife.com/forums/viewtopic.php?p=64968#p64968 two-dimensionally extensible wick-supporting pushalong] with a minimum width of over a thousand cells.<br /> * '''Oct 21''': New [[Orthogonoid]]s with periods 2&lt;sup&gt;27&lt;/sup&gt; and 2&lt;sup&gt;28&lt;/sup&gt; are [http://www.conwaylife.com/forums/viewtopic.php?p=64949#p64949 constructed] by [[Dave Greene]], followed by a 2&lt;sup&gt;25&lt;/sup&gt; version by [[Adam P. Goucher]].<br /> * '''Oct 12''': A new [[:Category:Oscillators with period 14|period-14]] [[oscillator]], [[34P14.1]], is found by 'carybe'.<br /> * '''Oct 11''': Christoph R. [http://www.conwaylife.com/forums/viewtopic.php?p=64623#p64623 discovers] a [http://www.conwaylife.com/forums/viewtopic.php?p=64627#p64627 new Fireship tagalong].<br /> * '''Oct 10''': [[Dave Greene]] [http://www.conwaylife.com/forums/viewtopic.php?p=64590#p64590 completes the construction] of two new [[HashLife]]-friendly [[Demonoid]]s.<br /> * '''Oct 07''': [http://www.conwaylife.com/forums/viewtopic.php?p=64619#p64489 A complex 140-glider synthesis] of a c/2 signal traveling along a diagonal long&lt;sup&gt;N&lt;/sup&gt; barge [[wire]] is completed by Martin Grant.<br /> * '''Oct 03''': A [http://conwaylife.com/forums/viewtopic.php?p=64315#p64315 p4 [[bouncer]] reflector] is constructed by Arie Paap. With the p9 reflector, this completes the set of [[colour-changing]] and [[colour-preserving]] reflectors with periods from 4 to 9.<br /> * '''Oct 02''': A p9 reflector is discovered [http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1452&amp;start=1750#p64309 by Matthias Merzenich and &quot;carybe&quot;] based on Noam Elkies' [[bouncer]] reaction. This is the first reflector capable of reflecting a p27 glider stream.<br /> * '''Oct 02''': A [[true]] p33 gun is discovered [http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3552&amp;p=64281#p64266 by Arie Paap and Matthias Merzenich].<br /> * '''Sep 27''': A [[true]] [[p52 gun]] is [http://conwaylife.com/forums/viewtopic.php?p=64084#p64084 completed by a collaborative effort].<br /> * '''Sep 9''': [[Dave Greene]] completes the construction of a stable [[line crosser]] with a [[repeat time]] of 501 ticks.<br /> * '''Jul 15/19''': The [[Minstrel]]s, a group of [[tagalong]]s for [[Sir Robin]], are discovered.<br /> * '''Jun 14''': The [https://b3s23life.blogspot.com/2018/06/the-meaning-of-life-is-42-but-cost-of.html construction] of a [[reverse caber-tosser]] shows that any [[glider synthesis|glider-constructible]] object can be constructed with at most 35 [[glider]]s.<br /> * '''Apr 04''': A [[p3 bumper|p3 reflector]] is discovered by Arie Paap based on Tanner Jacobi's [[bumper]] reaction. This is the first reflector capable of reflecting a p39 glider stream.<br /> * '''Mar 06''': [[Sir Robin]], the first [[elementary]] [[knightship]] in [[Conway's Game of Life|Life]], is discovered by [[Adam P. Goucher]] and [[Tomas Rokicki|Tom Rokicki]].<br /> * '''Feb 19''': The [[2-engine Cordership]] wins the 2017 [[Pattern of the Year]] competition, with [[Tanner's p46]] taking second place.<br /> <br /> ==2009==<br /> {{LifeWiki:News/600 pattern milestone}}<br /> {{LifeWiki:News/500 pattern milestone}}<br /> {{LifeWiki:News/400 pattern milestone}}<br /> {{LifeWiki:News/300 pattern milestone}}<br /> {{LifeWiki:News/200 pattern milestone}}<br /> {{LifeWiki:News/LifeWiki goes live}}<br /> <br /> ==Also see==<br /> * [[LifeWiki:Did you know archive]]</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews/editcopy&diff=174757 2026-08-09T21:49:43Z

<p>Sokwe: Moved to current news</p> <hr /> <div>[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Notes for non-administrators:<br /> Add current news items here. Someone with access to protected pages will transfer them to the [[Template:CurrentNews]] page.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details}<br /> <br /> Example:<br /> * '''April 20''': [[David Raucci]] [https://conwaylife.com/forums/viewtopic.php?p=144490#p144490 finds] a new [[period-114 glider gun]] engine using two [[pi-heptomino]]es and four period-6 [[sparker]]s. <br /> <br /> --&gt;<br /> The OCA CurrentNews news item submissions page can be found at [[Template:OCACurrentNews/editcopy]]; it follows the same style guide as this template.<br /> ----<br /> &lt;!-- Add everything below this comment --&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=174756 2026-08-09T21:00:06Z

<p>Sokwe: Moved Lifeviewer-sized Demonoid news item from edit copy to current news</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''August 5''': [[ElijahKen]] [https://conwaylife.com/forums/viewtopic.php?p=232523#p232523 constructs] the first [[Demonoid]] to fully fit inside a [[Lifeviewer]] window.<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> * '''June 12''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=229719#p229719 solves] another frontier synthesis problem, [[37P3H1V0.1]], by creating a component that can add an extension onto [[25P3H1V0.1]]; only three known 37-bit spaceships ([[37P3H1V0.2]], [[37P4H1V0]], and [https://catagolue.hatsya.com/object/xq4_sighgay0ggzxgg4kiu933azw745d/b3s23 xq4_sighgay0ggzxgg4kiu933azw745d]) are now without known syntheses.<br /> * '''June 8''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=229583#p229583 assembles] a construction recipe for a [[cottonmouth]] with 118 gliders, soon reduced to 116 gliders by [[Chris857]].<br /> * '''June 1-2''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=229315#p229315 completes] the critical final-stage synthesis of a [[lobster]] spaceship via an almost completely diagonally symmetric collision between 39 gliders and a 175-bit [[still life]] [[constellation]]; a collaborative effort produces a 186-glider construction recipe the same day, reduced to 118 gliders over the next two days.<br /> * '''May 23''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=228999#p228999 uses LightCone] to find a new [[Spartan]] glider-to-R-pentomino [[converter]] starting with a glider-activated pi explosion, with repeat time 187.<br /> * '''May 17''': [[lumi]] [https://conwaylife.com/forums/viewtopic.php?p=228795#p228795 builds] a maximally Golly-friendly [[self-synchronized linear replicator]], speed 256c/1048576, bounding box {{times|65676|65520}}, minimum population 16702; each new child copy is precisely in sync with the parent.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=174410 2026-07-26T04:46:54Z

<p>Sokwe: /* Glider gun true-periods */ p39 glider gun by Caleb R. Hilton based on a dependent reflector by Nora Brown.</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 72, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_39|name=39|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 26 Jul 2026: p39 gun [Caleb R. Hilton, Nora Brown]&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(28,3)c/84&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(15,11)c/107&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Universal constructor-based spaceships (and other objects) that move very slowly have been made. The [[Gemini|first such object]] has a velocity of (5120,1024)c/33699586.<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 22 Jun 2026: [[Unnamed (28,3)c/84 spaceship|(28,3)c/84]] spaceship [Brithos]&lt;br&gt;<br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;30&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;31&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq4_6frc|name=4|style=raw}}&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq4_153|name=4|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq30_yq232x232zug1hmgc865da808ad568cgmh1guybug1hmgc865da808ad568cgmh1guz124w6yb6w421yb124w6yb6w421|name=30|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq6_yyocxukcy6gocs20h0a38bac2qq73uszyjo4w8y0e4mo0vu0o606s6444u08clav0h03g440qq1333333x11zy9ecec2ik032i210sw3f0hy011w70401011033547442zy0emj896he1e1kif6q2gc50ew9qb30dzgo403gg066m32w11z34407q441n6zy311|name=6|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_3nw17862z6952|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_7dfxg88gxfd7zw123u2222u321|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq21_7dfxg88gxfd7zw123u2222u321zzweh1r4w4r1hezssoy6ossz12y821|name=21|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;7&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 63, 70, 84, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq7_ggg0774wguez1130g06mgcc403ju4y1ooz03331oo31gy112w62ec0ac4zy213111igzy4cc0j6mzy831|name=7|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq10_o5995ozes88sezw33|name=10|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|xq20_y8ag110ezss1w1ssy0ss1w1ssy0ss1w1ssz0gommogy2gommogy2gommogz0r1gg1ry2r1gg1ry2r1gg1rzw5445y45445y45445|name=20|style=raw}}&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;10&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;23&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;31&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;29&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=174409 2026-07-26T04:44:00Z

<p>Sokwe: Added p39 glider gun news item</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''July 26''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=231968#p231968 discovers] the first [[period-39 glider gun]] based on a [[dependent reflector]] by [[Nora Brown]]. This was the highest unsolved period and the last remaining multiple of 3. Only seven periods are still unsolved: 17, 19, 23, 26, 29, 31, and 38.<br /> * '''July 23''': [[GilGil]] [https://conwaylife.com/forums/viewtopic.php?p=231887#p231887 re-creates] previous macro-pattern &quot;printer&quot; functionality using (12,4)c/62 [[solifuge]] technology.<br /> * '''June 22''': [[Brithos]]'s [https://conwaylife.com/forums/viewtopic.php?p=230117#p230117 first-ever forum post] contains a very large completed [[Unnamed_(28,3)c/84_spaceship|engineered spaceship]] based on the [[(28,3)c/84 Herschel climber]] reaction.<br /> * '''June 12''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=229719#p229719 solves] another frontier synthesis problem, [[37P3H1V0]], by creating a component that can add an extension onto [[25P3H1V0.1]]; only three known 37-bit spaceships ([[37P4H1V0]], [https://catagolue.hatsya.com/object/xq3_gxooy3ss0ac4552z0330110ee0561/b3s23 xq3_gxooy3ss0ac4552z0330110ee0561] and [https://catagolue.hatsya.com/object/xq4_sighgay0ggzxgg4kiu933azw745d/b3s23 xq4_sighgay0ggzxgg4kiu933azw745d]) are now without known syntheses.<br /> * '''June 8''': [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=229583#p229583 assembles] a construction recipe for a [[cottonmouth]] with 118 gliders, soon reduced to 116 gliders by [[Chris857]].<br /> * '''June 1-2''': [[Goldtiger997]] [https://conwaylife.com/forums/viewtopic.php?p=229315#p229315 completes] the critical final-stage synthesis of a [[lobster]] spaceship via an almost completely diagonally symmetric collision between 39 gliders and a 175-bit [[still life]] [[constellation]]; a collaborative effort produces a 186-glider construction recipe the same day, reduced to 118 gliders over the next two days.<br /> * '''May 23''': [[Caleb R. Hilton]] [https://conwaylife.com/forums/viewtopic.php?p=228999#p228999 uses LightCone] to find a new [[Spartan]] glider-to-R-pentomino [[converter]] starting with a glider-activated pi explosion, with repeat time 187.<br /> * '''May 17''': [[lumi]] [https://conwaylife.com/forums/viewtopic.php?p=228795#p228795 builds] a maximally Golly-friendly [[self-synchronized linear replicator]], speed 256c/1048576, bounding box {{times|65676|65520}}, minimum population 16702; each new child copy is precisely in sync with the parent.<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=172902 2026-06-04T00:31:19Z

<p>Sokwe: /* Velocities of general moving objects */ Added c/7 diagonal spaceship synthesis</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> The table below links to the first known oscillator for each period up to 80, as well as a formula for constructing n-period oscillators beyond that up to infinity. {{refn|group=note|For a comprehensive table of the Smallest Known Oscillators per Period (SKOPs), see [[Table of oscillators by period]]. For different smaller-population mechanisms that allow for infinitely adjustable oscillators above a certain period, see [[Adjustable glider loop]] or [[Rectifier]].}}<br /> <br /> For green status, an oscillator must have a cell that oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> In Life, [[non-trivial]] oscillators are known for all periods such that, for each period, an oscillator is known having at least one cell which oscillates at the full period. {{refn|group=note|On July 21, 2023, the discovery of [[204P41]] proved Life (B3/S23) to be [[omniperiodic]].}}<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/block.rle 1]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/blinker.rle 2]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/caterer.rle 3]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/mold.rle 4]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pseudobarberpole.rle 5]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unix.rle 6]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/burloaferimeter.rle 7]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/figureeight.rle 8]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/workerbee.rle 9]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/24p10.rle 10]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p111.rle 11]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/dinnertable.rle 12]&lt;/span&gt;&lt;/td&gt;<br /> <br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p13.rle 13]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/tumbler.rle 14]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/pentadecathlon.rle 15]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/achimsp16.rle 16]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieves.rle 17]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p18.rle 18]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/cribbage.rle 19]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p20.rle 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p21.rle 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/36p22.rle 22]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/davidhilbert.rle 23]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/38p24.rle 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/98p25.rle 25]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle26.rle 26]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/56p27.rle 27]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/moldon34p14shuttle.rle 28]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle29.rle 29]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/queenbeeshuttle.rle 30]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/48p31.rle 31]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/gourmet.rle 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/60p33.rle 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/74p34.rle 34]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/50p35.rle 35]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/22p36.rle 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/124p37.rle 37]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/44p38.rle 38]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/catereron34p13.rle 39]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/26p40.rle 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/204p41.rle 41]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/unixon34p14shuttle.rle 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p43gliderloop.rle 43]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p44piheptominohassler.rle 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p45engine.rle 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twinbeesshuttle.rle 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle47.rle 47]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p48toadhassler.rle 48]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/400p49.rle 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p50trafficjam.rle 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/112p51.rle 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/35p52.rle 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p53gliderloop.rle 53]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p54shuttle.rle 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarhassler55.rle 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p56bheptominoshuttle.rle 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p57gliderloop.rle 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/prepulsarshuttle58.rle 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p59gliderloop.rle 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/twirlingttetsonsii.rle 60]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p61gliderloop.rle 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p62blinkerhassler.rle 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p63gliderloop.rle 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/34p64.rle 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p65gliderloop.rle 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p66glidershuttle.rle 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p67gliderloop.rle 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p68gliderloop.rle 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p69gliderloop.rle 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/fumaroleon34p14shuttle.rle 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/p71gliderloop.rle 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/47p72.rle 72]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> <br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/oscp43plus.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 21 Jul 2023: [[204P41|p41]] oscillator [Nora Brown]&lt;br&gt;<br /> 14 Jul 2023: [[Riley's p19|p19]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jul 2022: [[74P34|nontrivial p34]] oscillator [Mitchell Riley]&lt;br&gt;<br /> Jan 2022: [[44P38|p38]] oscillator [David Raucci with 'cvojan', Jason Summers]&lt;br&gt;<br /> Nov 2019: [[David Hilbert|p23]] oscillator [Luka Okanishi with 'praosylen']&lt;br&gt;<br /> Apr 2013: [[P43_glider_loop|p43]] and [[P53_Snark_loop|p53]] oscillators [Mike Playle]&lt;br&gt;<br /> Nov 2010: [[48P31|p31]] oscillator [Matthias Merzenich]&lt;br&gt;<br /> Apr 2009: [[124P37|p37]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Feb 2009: [[112P51|nontrivial p51]] oscillator [Nicolay Beluchenko]&lt;br&gt;<br /> Nov 2002: [[123P27.1|p27]] oscillator [Noam Elkies]&lt;br&gt;<br /> Jul 2000: [[134P39.1|p39]] oscillator [Noam Elkies with David Buckingham]&lt;br&gt;<br /> Aug 1999: [[p49 bouncer loop|p49]] oscillator [Noam Elkies]&lt;br&gt;<br /> Dec 1997: [[P57_Herschel_loop_1|p57]] oscillator [Dieter Leithner with David Buckingham]&lt;br&gt;<br /> Jun 1997: [[258P3_on_Achim's_p11|p33]] oscillator [Noam Elkies, Achim Flammenkamp]&lt;br&gt;<br /> 27 Apr 1997: [[54P17.1|p17]] oscillator and trivial p34 and p51 oscillators [Dean Hickerson]&lt;br&gt;<br /> 17 Apr 1997: [[168P22.1|p22]] oscillator [Noam Elkies]. ([Dean Hickerson] found [[Champagne_glass|a second, unrelated, p22 oscillator]] a day or two later.)&lt;br&gt;<br /> 11 Apr 1997: [[P59_Herschel_loop_1|p59]] oscillator [David Buckingham]&lt;br&gt;<br /> Oct 1996: [[Herschel_loop|Herschel track]] method of constructing any period 61 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Oscillator volatilities ==<br /> {{main|List of oscillators with subperiod combinations}}<br /> <br /> == Glider reflectors ==<br /> <br /> This table indicates whether a period-N glider stream can be reflected 90 degrees by an object whose period is N, or some factor of N.<br /> <br /> This may seem to be a rather odd thing to keep track of, but 90-degree glider reflectors are very useful, and happen to be quite difficult to find in Life. Note that this table fits neatly between oscillators and guns -- if you have a gun, you can build a reflector, and if you have a reflector, you can build an oscillator.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that the reflector requires the glider stream to have no gaps.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#ffff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;24&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;32&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;33&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;36&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;37&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;40&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;42&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;44&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;45&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;46&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;48&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;49&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;50&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;51&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;52&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;54&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;55&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;56&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;57&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;58&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;59&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;60&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;61&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;62&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;63&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;64&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;65&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;66&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;67&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;68&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;69&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;70&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;71&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;72&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;All higher periods are known&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 22 Mar 2025: p14 independent reflector [400spartans, Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 21 Mar 2025: p15 independent reflector [Matthias Merzenich, James Pascua]&lt;br&gt;<br /> 16 Mar 2025: p14 dependent reflector [follows from p14 gun]&lt;br&gt;<br /> 20 Mar 2024: p26 independent reflector [Period1GliderGun, Noam Elkies with Nora Brown, Dean Hickerson]&lt;br&gt;<br /> 17 Mar 2024: p16 independent reflector [James Pascua with Matthias Merzenich, Period1GliderGun]&lt;br&gt;<br /> 1 Mar 2024: p15 dependent reflector [follows from p15 gun]&lt;br&gt;<br /> 29 Feb 2024: p16 dependent reflector [follows from p16 gun]&lt;br&gt;<br /> 21 Jul 2023: p41 independent reflector [May13, Tanner Jacobi with Nora Brown]&lt;br&gt;<br /> 21 Jul 2023: p41 dependent reflector [Nora Brown]&lt;br&gt;<br /> 8 Nov 2022: p23 dependent reflector [Matthias Merzenich, Noam Elkies with Mitchell Riley]&lt;br&gt;<br /> 6 Jul 2022: p34 reflector ['iNoMed', 'MAP bot', Mitchell Riley, Tanner Jacobi]&lt;br&gt;<br /> 12 Jan 2022: p38 reflector [vivi, David Raucci]&lt;br&gt;<br /> 24 Aug 2021: p18 reflector [Matthias Merzenich, David Raucci]&lt;br&gt;<br /> 1 Aug 2021: p21 reflector [follows from p21 gun]&lt;br&gt;<br /> Oct 2018: p27 reflector [Matthias Merzenich, 'carybe', Noam Elkies]&lt;br&gt;<br /> 4 Apr 2018: p39 reflector [Arie Paap, Tanner Jacobi]&lt;br&gt;<br /> 28 Aug 2013: p29 independent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> 25 Aug 2013: p29 dependent reflector [Matthias Merzenich, Noam Elkies]&lt;br&gt;<br /> May 2013: p20 reflector [follows from p20 gun]&lt;br&gt;<br /> Apr 2013: Independent reflector for all periods 43 and over [Mike Playle].<br /> Specifically: p43 and p53 (had nothing); p47 and p51 (had oscillators);<br /> p57 and p61 (had dependent reflectors).&lt;br&gt;<br /> Sep 2012: p58 independent reflector [Matthias Merzenich]&lt;br&gt;<br /> Sep 2012: p52 reflector [Matthias Merzenich]&lt;br&gt;<br /> Feb 2012: p26 dependent reflector [Matthias Merzenich with Mike Playle]&lt;br&gt;<br /> Nov 2010: p31 reflector [Matthias Merzenich]&lt;br&gt;<br /> Mar 2010: p37 reflector [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2009: p59 reflector [follows from p59 gun]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> == Glider gun true-periods ==<br /> Note: All of the links in this table besides the last one lead to objects in [[Catagolue]]'s glider gun list rather than to another wiki page.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;1&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;2&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;3&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;4&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;5&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;6&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;7&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;8&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;9&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;11&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;12&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_14|name=14|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_15|name=15|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_16|name=16|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_18|name=18|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_20|name=20|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_21|name=21|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_22|name=22|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_24|name=24|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_25|name=25|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_27|name=27|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_28|name=28|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;29&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_30|name=30|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;31&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_32|name=32|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_33|name=33|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_34|name=34|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_35|name=35|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_36|name=36|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_37|name=37|style=raw}}&lt;/span&gt;&lt;/td&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;38&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;39&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_40|name=40|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_41|name=41|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_42|name=42|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_43|name=43|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_44|name=44|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_45|name=45|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_46|name=46|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_47|name=47|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_48|name=48|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_49|name=49|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_50|name=50|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_51|name=51|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_52|name=52|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_53|name=53|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_54|name=54|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_55|name=55|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_56|name=56|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_57|name=57|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_58|name=58|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_59|name=59|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_60|name=60|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_61|name=61|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_62|name=62|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_63|name=63|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_64|name=64|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_65|name=65|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_66|name=66|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_67|name=67|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_68|name=68|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_69|name=69|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_70|name=70|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_71|name=71|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_72|name=72|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_73|name=73|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_74|name=74|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_75|name=75|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_76|name=76|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_77|name=77|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_78|name=78|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;{{LinkCatagolue|guntrue_79|name=79|style=raw}}&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80 colspan=5&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80 colspan=12&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://www.conwaylife.com/patterns/gun-p80+n.rle All higher periods are known]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries:'''&lt;br&gt;<br /> 26 Mar 2025: p18 gun [400spartans, Period1GliderGun with David Raucci]&lt;br&gt;<br /> 16 Mar 2025: p14 gun [Matthias Merzenich with James Pascua]&lt;br&gt;<br /> 5 Dec 2024: p35 gun [Matthias Merzenich, iNoMed, hotcrystal0 with goldenratio, Period1GliderGun]&lt;br&gt;<br /> 28 Oct 2024: p47 gun [Entity Valkyrie, iNoMed with David Raucci, Mitchell Riley]&lt;br&gt;<br /> 1 Mar 2024: p15 gun [Period1GliderGun with Carson Cheng]&lt;br&gt;<br /> 29 Feb 2024: p16 gun [Period1GliderGun with Nora Brown]&lt;br&gt;<br /> 22 Jan 2024: p53 gun [iNoMed, goldenratio]&lt;br&gt;<br /> 22 Jul 2023: p41 gun [iNoMed, Matthias Merzenich, May13, David Raucci with Nora Brown]&lt;br&gt;<br /> 17 Nov 2022: p34 gun [Nora Brown]&lt;br&gt;<br /> 7 Nov 2022: p25 gun [Mitchell Riley]&lt;br&gt;<br /> 11 Sep 2022: p43 gun [Nora Brown]&lt;br&gt;<br /> 24 Jun 2022: p37 gun [iNoMed, goldenratio, Luke Kiernan]&lt;br&gt;<br /> 29 Jan 2022: p27 gun [David Raucci, goldenratio]&lt;br&gt;<br /> 28 Nov 2021: p49 and p51 guns [Tanner Jacobi (p49), Luka Okanishi (p51), wwei23, hotcrystal0 (base mechanism)]&lt;br&gt;<br /> 9 Sep 2021: p32 gun [Matthias Merzenich, David Raucci with 'praosylen', wwei23, Noam Elkies]&lt;br&gt;<br /> 1 Aug 2021: p21 gun and related p42 gun [Tanner Jacobi, David Raucci]&lt;br&gt;<br /> 15 Dec 2020: p28 gun [Matthias Merzenich, Paul Callahan]&lt;br&gt;<br /> 2 Oct 2018: p33 gun [Arie Paap, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> 26 Sep 2018: p52 gun [Dave Greene, Matthias Merzenich, Chris Cain, Adam P. Goucher with Tanner Jacobi, Luka Okanishi, Louis-François Handfield]&lt;br&gt;<br /> 15 Apr 2016: p57 gun [Matthias Merzenich]&lt;br&gt;<br /> 14 Apr 2016: p58 gun [Maia Karpovich, Matthias Merzenich with Chris Cain]&lt;br&gt;<br /> 13 Apr 2016: p61 gun [Luka Okanishi]&lt;br&gt;<br /> 13 May 2013: p20 gun [Matthias Merzenich with Noam Elkies]&lt;br&gt;<br /> 18 Mar 2013: p40 gun [Adam P. Goucher, Matthias Merzenich with Jason Summers]&lt;br&gt;<br /> Apr 2010: p45 gun [Matthias Merzenich]&lt;br&gt;<br /> Dec 2009: p59 gun [Adam P. Goucher with Jason Summers]&lt;br&gt;<br /> Jul 2004: p36 gun [Jason Summers]&lt;br&gt;<br /> Aug 2000: p22 gun [David Eppstein, Jason Summers]&lt;br&gt;<br /> Oct 1998: p55 gun [Stephen Silver, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 29 Jan 1998: p56 gun [Dietrich Leithner, Noam Elkies with David Buckingham]&lt;br&gt;<br /> 26 Jan 1998: p54 gun [Dietrich Leithner with David Buckingham, Noam Elkies]&lt;br&gt;<br /> Jun 1997: p24 gun and related p48 gun [Noam Elkies]&lt;br&gt;<br /> 13 Oct 1996: p50 gun [Dean Hickerson with Noam Elkies, David Buckingham]&lt;br&gt;<br /> 12 Oct 1996: Herschel track method of constructing any period 62 or<br /> higher [David Buckingham]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Gun pseudo-periods==<br /> <br /> &lt;table border=1 cellspacing=0&gt;<br /> <br /> &lt;tr&gt;&lt;th&gt;Glider&lt;/th&gt;&lt;th&gt;LWSS&lt;/th&gt;&lt;th&gt;MWSS&lt;/th&gt;&lt;th&gt;HWSS&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0 colspan=4&gt;All lower periods are impossible.&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;13&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;14&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;15&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;16&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#c0c0c0&gt;17&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;18&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;19&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;20&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;21&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;22&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;23&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td colspan=4 bgcolor=#80ff80&gt;All higher periods are known.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == Velocities of spaceships ==<br /> &lt;span style=&quot;background:#dfdfff&quot;&gt;Blue &lt;/span&gt; indicates this is the smallest known of that simplified displacement. &lt;span style=&quot;background:#c6efce&quot;&gt;Green &lt;/span&gt; indicates this displacement is known, but is not the smallest of said displacement. &lt;span style=&quot;background:#eeeeee&quot;&gt;Grey &lt;/span&gt; indicates this displacement is impossible in Life. &lt;span style=&quot;background:#ffffdd&quot;&gt;Yellow &lt;/span&gt; indicates this displacement is only known for engineered or universally constructing spaceships. &lt;span style=&quot;background:#edd2ff&quot;&gt;Purple &lt;/span&gt; indicates this is the smallest known of that unsimplified displacement. &lt;span style=&quot;background:#ffc7ce&quot;&gt;Red &lt;/span&gt; indicates unknown velocities.<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! <br /> ! c/<br /> ! 2c/<br /> ! 3c/<br /> ! 4c/<br /> ! 5c/<br /> ! 6c/<br /> ! 7c/<br /> ! 8c/<br /> ! 9c/<br /> ! 17c/<br /> ! 28c/<br /> ! 31c/<br /> |- align=center valign=center<br /> ! 1<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;12&quot; | Impossible<br /> |- align=center valign=center<br /> ! 2<br /> | style=&quot;background-color:#edd2ff;&quot; | [[64P2H1V0|(1,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> ! 3<br /> | style=&quot;background-color:#dfdfff;&quot; | [[25P3H1V0.2|(1,0)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 4<br /> | style=&quot;background-color:#dfdfff;&quot; | [[37P4H1V0|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | ''[[lightweight spaceship|(2,0)]]''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[glider|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;2&quot; | 5<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spider|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[30P5H2V0|(2,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[58P5H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; |<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 6<br /> | style=&quot;background-color:#dfdfff;&quot; | [[56P6H1V0|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[77P6H1V1|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Sir Robin|(2,1)]]<br /> |- align=center valign=center<br /> ! rowspan=&quot;3&quot; | 7<br /> | style=&quot;background-color:#dfdfff;&quot; | [[loafer|(1,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[weekender|(2,0)]]<br /> | style=&quot;background-color:#dfdfff;&quot; | [[spaghetti monster|(3,0)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Lobster|(1,1)]]<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 8<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#dfdfff;&quot; | [[Walrus|(1,1)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;4&quot; | 9<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;8&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;2&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 10<br /> | style=&quot;background-color:#dfdfff;&quot; | [[copperhead|(1,0)]]<br /> | style=&quot;background-color:#c6efce;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(5,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;6&quot; | 11<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;7&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 12<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,0)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(4,0)''<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#c6efce;&quot; | ''(6,0)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,1)<br /> | style=&quot;background-color:#ffffdd;&quot; | ''(2,2)''<br /> | style=&quot;background-color:#c6efce;&quot; | ''(3,3)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | ''(4,2)''<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> ! rowspan=&quot;7&quot; | 13<br /> | style=&quot;background-color:#ffffdd;&quot; | (1,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,0)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (6,0)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;6&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (1,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,2)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,3)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;9&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (2,1)<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,2)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;10&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,1)<br /> | style=&quot;background-color:#eeeeee&quot; colspan=&quot;11&quot; rowspan=&quot;4&quot; |<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (4,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (5,1)<br /> |- align=center valign=center<br /> | style=&quot;background-color:#ffc7ce;&quot; | (3,2)<br /> |- align=center valign=center<br /> |}<br /> <br /> === Possible velocities ===<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! colspan=&quot;25&quot; | orthogonal<br /> |- align=center valign=center<br /> ! c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#88ee99&quot; | [[64P2H1V0|2]]<br /> | style=&quot;background-color:#88ee99&quot; | [[25P3H1V0.2|3]]<br /> | style=&quot;background-color:#88ee99&quot; | [[37P4H1V0|4]]<br /> | style=&quot;background-color:#88ee99&quot; | [[spider|5]]<br /> | style=&quot;background-color:#88ee99&quot; | [[56P6H1V0|6]]<br /> | style=&quot;background-color:#88ee99&quot; | [[loafer|7]]<br /> | style=&quot;background-color:#ddddbb&quot; | 8<br /> | style=&quot;background-color:#ddddbb&quot; | 9<br /> | style=&quot;background-color:#88ee99&quot; | [[copperhead|10]]<br /> | style=&quot;background-color:#ddddbb&quot; | 11<br /> | style=&quot;background-color:#ddddbb&quot; | 12<br /> | style=&quot;background-color:#ddddbb&quot; | 13<br /> | style=&quot;background-color:#ddddbb&quot; | 14<br /> | style=&quot;background-color:#ddddbb&quot; | 15<br /> | style=&quot;background-color:#ddddbb&quot; | 16<br /> | style=&quot;background-color:#ddddbb&quot; | 17<br /> | style=&quot;background-color:#ddddbb&quot; | 18<br /> | style=&quot;background-color:#ddddbb&quot; | 19<br /> | style=&quot;background-color:#ddddbb&quot; | 20<br /> | style=&quot;background-color:#ddddbb&quot; | 21<br /> | style=&quot;background-color:#ddddbb&quot; | 22<br /> | style=&quot;background-color:#ddddbb&quot; | 23<br /> | style=&quot;background-color:#ddddbb&quot; | 24<br /> |- align=center valign=center<br /> ! 2c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[lightweight spaceship|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[30P5H2V0|5]]<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[weekender|7]]<br /> | style=&quot;background-color:#c6efce&quot; | 8<br /> | style=&quot;background-color:#ffffdd&quot; | 9<br /> | style=&quot;background-color:#c6efce&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#ffffdd&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#ffffdd&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#c6efce&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> ! 3c/<br /> | style=&quot;background-color:#ffc7ce&quot; | 1<br /> | style=&quot;background-color:#ffc7ce&quot; | 2<br /> | style=&quot;background-color:#ffc7ce&quot; | 3<br /> | style=&quot;background-color:#ffc7ce&quot; | 4<br /> | style=&quot;background-color:#ffc7ce&quot; | 5<br /> | style=&quot;background-color:#c6efce&quot; | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[spaghetti monster|7]]<br /> | style=&quot;background-color:#ffffdd&quot; | 8<br /> | style=&quot;background-color:#c6efce&quot; | 9<br /> | style=&quot;background-color:#ffffdd&quot; | 10<br /> | style=&quot;background-color:#ffffdd&quot; | 11<br /> | style=&quot;background-color:#c6efce&quot; | 12<br /> | style=&quot;background-color:#ffffdd&quot; | 13<br /> | style=&quot;background-color:#ffffdd&quot; | 14<br /> | style=&quot;background-color:#c6efce&quot; | 15<br /> | style=&quot;background-color:#ffffdd&quot; | 16<br /> | style=&quot;background-color:#ffffdd&quot; | 17<br /> | style=&quot;background-color:#c6efce&quot; | 18<br /> | style=&quot;background-color:#ffffdd&quot; | 19<br /> | style=&quot;background-color:#ffffdd&quot; | 20<br /> | style=&quot;background-color:#ffffdd&quot; | 21<br /> | style=&quot;background-color:#ffffdd&quot; | 22<br /> | style=&quot;background-color:#ffffdd&quot; | 23<br /> | style=&quot;background-color:#ffffdd&quot; | 24<br /> |- align=center valign=center<br /> |}<br /> <br /> == Velocities of general moving objects ==<br /> Velocity is the combination of speed and [[slope]] (direction).<br /> <br /> In this section, velocity is in the form (X,Y)c/P, where X&amp;gt;=Y, and no factor is common to all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.) P is therefore the minimum possible period for that velocity; X and Y are the (average) number of cells moved horizontally and vertically in P generations. The slope (direction) is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a clean glider rake with the gliders traveling in any of the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call. For this table, the wick is required to be reasonably closely connected in all phases, and must in some sense be extended at a single location, rather than being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that there is a known [[glider synthesis]] for a spaceship, but no explicit example gun has been constructed yet.<br /> <br /> &lt;table border=1 cellspacing=0 width=500&gt;<br /> &lt;tr&gt;&lt;th&gt;Velocity&lt;/th&gt;&lt;th&gt;Spaceship?&lt;/th&gt;<br /> &lt;th&gt;Puffer?&lt;/th&gt;&lt;th&gt;Versatile&lt;br&gt;puffer?&lt;/th&gt;&lt;th&gt;Wick-&lt;br&gt;stretcher?&lt;/th&gt;&lt;th&gt;Gun?&lt;/th&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/2&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/3&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/4&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/5&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/6&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/7&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/7&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,0)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(3,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(2,1)c/8&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/8&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;--&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,0)c/10&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(1,1)c/12&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(17,0)c/45&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;/tr&gt;<br /> &lt;tr&gt;&lt;td&gt;(31,0)c/240&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;td bgcolor=#ffa0a0&gt;No&lt;/td&gt;&lt;td bgcolor=#80ff80&gt;Yes&lt;/td&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;Other&lt;/td&gt;&lt;td colspan=5&gt;<br /> Universal constructor-based spaceships (and other objects) that move very slowly have been made. The [[Gemini|first such object]] has a velocity of (5120,1024)c/33699586.<br /> &lt;/td&gt;&lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;'''Most recent discoveries (new velocities):''' (needs to be updated for discoveries past 2022 - was (6,3)c/1024 achievable with parallel HBK?) &lt;br&gt;<br /> <br /> 11 Jan 2026: [[Silk moth|(15,11)c/107]] spaceship [Nora Brown]&lt;br&gt;<br /> 23 Dec 2025: [[Giraffe weevil|(4,1)c/64]] adjustable spaceship [FWKnightship]&lt;br&gt;<br /> 30 Nov 2025: [[Solifuge|(6,2)c/31]] spaceship [Nora Brown]&lt;br&gt;<br /> 6 Jun 2023: [[Unnamed (34,7)c/156 spaceship|(34,7)c/156]] spaceship [Luka Okanishi]&lt;br&gt;<br /> Apr 2022: [[Speed Orthogonoid|all orthogonal speeds below c/2]] [Goldtiger997]&lt;br&gt;<br /> Sep 2020: [[Speed Demonoid|all diagonal speeds below c/4]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[Sir Robin|(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[Spaghetti monster|3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[Caterloopillar|all orthogonal speeds below c/4 except those of the form mc/(8k+2) and mc/(8k+6)]] [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[copperhead|c/10 orthogonal]] spaceship ['zdr']&lt;br&gt;<br /> Dec 2015: 13c/96228 (~ c/7402) diagonal 0hd Demonoid [Chris Cain, Dave Greene]&lt;br&gt;<br /> Nov 2015: c/12700 diagonal 10hd Demonoid [Dave Greene, Chris Cain]&lt;br&gt;<br /> Dec 2014: (23,5)c/79 spaceship [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Sep 2014: 31c/240 orthogonal spaceship [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain with Kiho Park]&lt;br&gt;<br /> Jul 2014: Half-baked knightships [Adam P. Goucher, Chris Cain, Ivan Fomichev, Dave Greene]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship [Josh Ball]&lt;br&gt;<br /> Aug 2011: c/7 diagonal spaceship [Matthias Merzenich]&lt;br&gt;<br /> May 2010: Universal constructor-based [[Gemini|&quot;Gemini&quot; spaceship]] [Andrew Wade]&lt;br&gt;<br /> Sep 2005: c/6 diagonal spaceship [Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: 17c/45 orthogonal spaceship [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Nov 2000: c/5 diagonal spaceship [Jason Summers; search software by David Bell]&lt;br&gt;<br /> Apr 2000: c/6 orthogonal spaceship [Paul Tooke; search software by David Eppstein]&lt;br&gt;<br /> Jan 2000: 2c/7 orthogonal spaceship [David Eppstein]&lt;br&gt;<br /> Jan 1996: c/5 orthogonal spaceship [Tim Coe]<br /> &lt;/small&gt;<br /> <br /> &lt;small&gt;<br /> '''Most recent discoveries (other):'''&lt;br&gt;<br /> 1 Jun 2026: c/7 diagonal spaceship synthesis [Goldtiger997, TigerCub414, vilc, Chris857, iNoMed, KtT with Matthias Merzenich]<br /> 9 Dec 2025: (6,2)c/31 spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> 8 Dec 2025: (6,2)c/31 spaceship synthesis [hibiscus, Entity Valkyrie, KtT with GoldTiger997]&lt;br&gt;<br /> 14 Aug 2025: 31c/240 orthogonal spaceship gun [Entity Valkyrie with Hippo69]&lt;br&gt;<br /> 2 Jun 2025: 31c/240 orthogonal spaceship synthesis [Gustone, Entity Valkyrie, rabbit with EvinZL]&lt;br&gt;<br /> 20 Jun 2024: c/6 diagonal spaceship gun [Entity Valkyrie with Goldtiger997]&lt;br&gt;<br /> 28 Jan 2024: c/6 diagonal spaceship synthesis [Goldtiger997]&lt;br&gt;<br /> 11 Aug 2023: c/3 orthogonal wickstretcher [Keith Amling]&lt;br&gt;<br /> 23 Apr 2023: 2c/5 orthogonal wickstretcher [Matthias Merzenich, Keith Amling]&lt;br&gt;<br /> 10 Apr 2023: c/6 diagonal wickstretcher [Frank Everdij]&lt;br&gt;<br /> 17 Nov 2021: versatile c/6 orthogonal puffer ['May13' with 'iNoMed', Matthias Merzenich]&lt;br&gt;<br /> May 2021: [[(2,1)c/6]] puffer [Adam P. Goucher] and versatile puffer ['May13', Adam P. Goucher]&lt;br&gt;<br /> 3 Jan 2021: versatile 3c/7 orthogonal puffer [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> Dec 2020: c/6 orthogonal spaceship gun [wwei23]&lt;br&gt;<br /> May 2020: c/5 diagonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Apr 2020: c/5 diagonal spaceship synthesis [Goldtiger997, Tanner Jacobi, BlinkerSpawn, Adam P. Goucher with Matthias Merzenich]&lt;br&gt;<br /> Mar 2020: c/6 orthogonal spaceship synthesis [Goldtiger997, Tanner Jacobi, AforAmpere, 'praosylen', Martin Grant with Hartmut Holzwart]&lt;br&gt;<br /> Jan 2020: c/5 orthogonal spaceship gun [Entity Valkyrie]&lt;br&gt;<br /> Oct 2019: c/4 orthogonal spaceship gun [Goldtiger997]&lt;br&gt;<br /> Mar 2019: c/5 orthogonal spaceship synthesis [Martin Grant with David Bell]&lt;br&gt;<br /> Feb 2019: c/4 orthogonal spaceship synthesis [Tanner Jacobi, Martin Grant with Tim Coe]&lt;br&gt;<br /> Jul 2017: c/6 orthogonal puffer [Nora Brown with Matthias Merzenich]&lt;br&gt;<br /> Mar 2017: 3c/7 orthogonal puffer [Luka Okanishi with Tim Coe]&lt;br&gt;<br /> Apr 2016: c/7 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Apr 2016: c/8 orthogonal (versatile) puffer [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal (versatile) puffer [Nora Brown with Simon Ekström]&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship gun [Alexey Nigin with 'zdr']&lt;br&gt;<br /> Mar 2016: c/10 orthogonal spaceship synthesis [Tanner Jacobi with Mark Niemiec, Chris Cain]&lt;br&gt;<br /> Sep 2015: 2c/7 orthogonal spaceship gun [Chris Cain] (based on the 2c/7 spaceship synthesis from Jan 2015)&lt;br&gt;<br /> Jan 2015: 2c/7 orthogonal spaceship synthesis [Martin Grant, Tanner Jacobi]&lt;br&gt;<br /> Jan 2015: Gun for a half-baked knightship [Chris Cain] (a gun was likely constructed by [Michael Simkin] in Dec 2014, but it was too big to run in Golly)&lt;br&gt;<br /> Dec 2014: (versatile) (23,5)c/79 puffer [Brett Berger, Ivan Fomichev with Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2014: c/3 orthogonal spaceship gun [Martin Grant, Michael Simkin with David Bell]&lt;br&gt;<br /> Sep 2014: (versatile) 31c/240 orthogonal puffer [Dave Greene, Ivan Fomichev, Adam P. Goucher, Chris Cain, with Kiho Park]&lt;br&gt;<br /> May 2014: versatile 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Dec 2013: 2c/7 orthogonal puffer [Ivan Fomichev]&lt;br&gt;<br /> Mar 2013: c/5 orthogonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Feb 2013: c/7 orthogonal spaceship gun [Shannon Omick, Matthias Merzenich, Adam P. Goucher with Josh Ball]&lt;br&gt;<br /> Jan 2011: c/5 diagonal wickstretcher [Matthias Merzenich]&lt;br&gt;<br /> Sep 2010: (versatile) c/5 diagonal puffer [Matthias Merzenich]&lt;br&gt;<br /> Jul 2010: Gun for Gemini spaceship [Dave Greene]&lt;br&gt;<br /> Oct 2005: versatile c/4 diagonal puffer [David Bell with Jason Summers, Nicolay Beluchenko]&lt;br&gt;<br /> Dec 2004: (versatile) 17c/45 orthogonal puffer [Gabriel Nivasch, Jason Summers with David Bell]&lt;br&gt;<br /> Mar 2004: c/4 diag puffer [Hartmut Holzwart]&lt;br&gt;<br /> Mar 2003: 2c/5 orthogonal spaceship gun [Noam Elkies, Dave Greene]&lt;br&gt;<br /> Oct 2002: c/2 wickstretcher [Dean Hickerson, Jason Summers]&lt;br&gt;<br /> Oct 2000: versatile c/4 puffer [David Bell, Jason Summers]&lt;br&gt;<br /> Jun 2000: versatile 2c/5 puffer [David Bell, Jason Summers with Paul Tooke]&lt;br&gt;<br /> Jul 1999: c/12 gun [Stephen Silver, Jason Summers]&lt;br&gt;<br /> Mar 1999: c/12 wickstretcher [Jason Summers with Dean Hickerson, David Buckingham]&lt;br&gt;<br /> Feb 1999: 2c/5 puffer [Jason Summers]&lt;br&gt;<br /> Jan 1999: c/4 puffer [Jason Summers]&lt;br&gt;<br /> Jun 1998: versatile c/12 puffers [Stephen Silver, Dean Hickerson]&lt;br&gt;<br /> Sep 1997: versatile c/5 puffers [David Bell]&lt;br&gt;<br /> May 1997: c/5 puffer [Tim Coe, David Bell]&lt;br&gt;<br /> Jun 1996: versatile c/3 puffers [David Bell]&lt;br&gt;<br /> Apr 1996: c/3 puffer [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==Spaceship periods==<br /> This table lists the known spaceship periods up to 36 for each velocity (excluding speeds based on Gemini, Half-bakery, SSOL, Caterloopillars, or other adjustable ships). Periods not possible at any of the known velocities are omitted to save space.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt; means that only &quot;trivial&quot; examples exist, with no single section that repeats at the full period.<br /> <br /> <br /> &lt;table border=&quot;1&quot; cellspacing=&quot;0&quot;&gt;<br /> <br /> &lt;tr&gt;&lt;th rowspan=&quot;2&quot; valign=&quot;top&quot;&gt;Velocity&lt;/th&gt;<br /> &lt;th colspan=&quot;29&quot;&gt;Period&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;2&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;3&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;4&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;5&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;6&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;7&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;8&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;9&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;10&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;12&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;14&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;15&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;16&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;18&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;20&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;21&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;22&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;24&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;25&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;26&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;27&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;28&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;30&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;32&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;35&lt;/th&gt;<br /> &lt;th bgcolor=&quot;#80ff80&quot;&gt;36&lt;/th&gt;<br /> &lt;th&gt;other&lt;/th&gt;&lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;c/2 orth&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;2&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;22&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;26&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;34&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/3 orth&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;3&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;9&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;27&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;33&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/4 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;4&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;8&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;32&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;60, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/5 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;5&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;15&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;25&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;85, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, 1212, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/6 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;(2,1)c/6&lt;/td&gt;<br /> &lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;6&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;18&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;48, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;7&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;1204, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;2c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;7&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 105, ~1162, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;3c/7 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;7&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;42, 63, 70, 84, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/7 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;7&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;14&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;21&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td colspan=&quot;4&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;35&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/10 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;10&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;30&lt;/td&gt;&lt;td colspan=&quot;5&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;150, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;c/12 diag&lt;/td&gt;<br /> &lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;12&lt;/td&gt;&lt;td colspan=&quot;7&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;9&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;36&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;96, 192, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td&gt;17c/45 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;28&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;270, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(6,2)c/31&lt;/td&gt;<br /> &lt;td colspan=&quot;28&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;62, 124, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(23,5)c/79&lt;/td&gt;<br /> &lt;td colspan=&quot;28&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;158, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;(34,7)c/156&lt;/td&gt;<br /> &lt;td colspan=&quot;28&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;156, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;tr&gt;&lt;td&gt;31c/240 orth&lt;/td&gt;<br /> &lt;td colspan=&quot;28&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#80ff80&quot;&gt;240, ...&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> <br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&lt;br&gt;<br /> <br /> 17 Mar 2024: c/4 diag p20 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 29 Jan 2024: c/4 diag p24 [Keith Amling, Matthias Merzenich]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p36 [Matthias Merzenich, Hartmut Holzwart, Keith Amling]&lt;br/&gt;<br /> 15 Jan 2024: c/4 diag p28 and p32 [Matthias Merzenich, Hartmut Holzwart, 'praosylen', Keith Amling]&lt;br/&gt;<br /> 19 Dec 2023: c/4 diag p16 [Matthias Merzenich, Keith Amling]&lt;br/&gt;<br /> 12 May 2021: (2,1)c/6 p24 and p36 ['May13' with Adam P. Goucher]&lt;br&gt;<br /> 10 May 2021: (2,1)c/6 p12 [Adam P. Goucher]&lt;br&gt;<br /> 5 Jan 2021: 3c/7 orth p35 ['iNoMed', 'bubblegum', Dylan Chen]&lt;br&gt;<br /> 4 Jan 2021: 3c/7 orth p14 ['praosylen', 'wwei23', Dylan Chen]&lt;br&gt;<br /> 3 Jan 2021: 3c/7 orth p21 [Matthias Merzenich, 'bubblegum', 'iNoMed' with Dylan Chen, Tim Coe]&lt;br&gt;<br /> 6 Dec 2020: 2c/7 orth p21 [John Winston Garth with David Eppstein]&lt;br&gt;<br /> 11 Oct 2018: c/10 orth p20 [Christoph Reinthaler with Simon Ekström]&lt;br&gt;<br /> Aug 2017: c/4 orth p28 [Matthias Merzenich]&lt;br&gt;<br /> Jul 2017: c/6 orth p12 and p18 [Matthias Merzenich]&lt;br&gt;<br /> Jun 2016: 3c/7 orth p28 [Tim Coe, Stephen Silver]&lt;br&gt;<br /> Sep 2015: nontrivial c/3 orth p30 [Matthias Merzenich, Josh Ball, David Bell]&lt;br&gt;<br /> Oct 2010: nontrivial c/4 orth p24 [Matthias Merzenich]&lt;br&gt;<br /> Sep 2005: c/4 diag p12 [Hartmut Holzwart]&lt;br&gt;<br /> Nov 2004: c/5 orth p10 [Paul Tooke]&lt;br&gt;<br /> Nov 2003: c/4 orth p32 [Paul Tooke with Jason Summers]&lt;br&gt;<br /> Feb 2003: c/2 orth p18 [Paul Tooke]&lt;br&gt;<br /> Dec 2002: nontrivial c/3 orth p18 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2002: c/3 orth p27 [Paul Tooke]&lt;br&gt;<br /> May 2002: 2c/5 orth p35 [Paul Tooke]&lt;br&gt;<br /> 8 Feb 2002: 2c/5 orth p15 and p25 [Paul Tooke]&lt;br&gt;<br /> 4 Feb 2002: 2c/5 orth p20 and p30 [Paul Tooke]&lt;br&gt;<br /> 14 Jan 2002: c/3 orth p21 [Paul Tooke]&lt;br&gt;<br /> 8 Jan 2002: c/2 orth p30 [Paul Tooke]&lt;br&gt;<br /> Dec 2001: c/2 orth p10 and p14 [Paul Tooke]&lt;br&gt;<br /> May 2001: c/2 orth p22 [David Bell, Paul Tooke with Jason Summers]&lt;br&gt;<br /> Apr 2001: c/2 orth p26 [David Bell, Paul Tooke]&lt;br&gt;<br /> Dec 2000: c/4 diag p8 [Jason Summers]&lt;br&gt;<br /> Nov 2000: c/3 orth p12 [David Bell, Jason Summers]&lt;br&gt;<br /> Oct 2000: c/4 orth p8 and p12 [Jason Summers], and resulting trivial p24&lt;br&gt;<br /> Sep 2000: c/4 orth p20 [David Bell with Jason Summers]&lt;br&gt;<br /> May 2000: 2c/5 orth p10 [David Bell, Paul Tooke]&lt;br&gt;<br /> Feb 1999: c/3 orth p6 [Stephen Silver], and resulting trivial p18 and p30&lt;br&gt;<br /> May 1998: c/5 orth p30 [David Bell with Noam Elkies]&lt;br&gt;<br /> Mar 1998: c/3 orth p36 [David Bell]&lt;br&gt;<br /> Dec 1997: c/5 orth p15 [Noam Elkies with Tim Coe]&lt;br&gt;<br /> Apr 1996: c/3 orth p24 [David Bell]&lt;br&gt;<br /> ?May 1994: c/2 orth p28 [Hartmut Holzwart with Alan Hensel]&lt;br&gt;<br /> Dec 1993: c/3 orth p15 [David Bell]&lt;br&gt;<br /> Jul 1993: c/2 orth p6 [David Bell]&lt;br&gt;<br /> May 1992: c/3 orth p9 [David Bell]&lt;br&gt;<br /> &lt;/small&gt;<br /> <br /> ==c/2 orthogonal spaceships, puffers, rakes==<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;2:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;R&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224491#p224491 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;14:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;22:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;26:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;34:&lt;span style=&quot;background:#ffa0a0&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#80ff80&quot;&gt;P&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;38:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;46:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;58:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;62:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;70:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;74:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;82:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;86:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;94:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;98:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;106:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;110:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;118:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;122:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;130:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;134:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;142:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;146:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;150:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;154:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;158:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;162:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;166:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;170:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=224494#p224494 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=172604#p172604 R]&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;174:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;178:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;182:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;186:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;190:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;194:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;198:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;8&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> For periods over 200, this section only includes periods that are a <br /> multiple of 4 but not 8. All multiples of 8 are known. Periods over 200 <br /> that are not a multiple of 4 are not documented here.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;244:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;252:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;260:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;268:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;276:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;284:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;292:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;300:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;308:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;316:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;324:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;332:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;340:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;348:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;356:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;364:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;372:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;380:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;388:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;396:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;404:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;412:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;420:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;428:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;436:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;444:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;452:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;460:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;468:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;476:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;484:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;492:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;500:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;508:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;516:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;524:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;532:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;540:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;548:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;556:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;564:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;572:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All higher multiples of 4 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/3 spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake.<br /> A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;3:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;6:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;9:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;18:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;21:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;27:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;33:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;39:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;42:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;51:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;54:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;57:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;63:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;66:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;69:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;75:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;78:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;81:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;87:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;90:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;93:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;99:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;102:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;105:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;111:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;114:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;117:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;123:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;126:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;129:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;135:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;138:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;141:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 144 are known. *&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> &lt;small&gt;* Here is a [http://entropymine.com/jason/life/ship-c3p144demo.lif pattern that demonstrates]<br /> that all periods 144 and higher can, in principle, be constructed.<br /> (Actually, this can probably be reduced to around 90-100).<br /> The method of construction is not easy, and it could be argued that these<br /> periods are not really &quot;known&quot;.&lt;/small&gt;<br /> <br /> ==c/4 orthogonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow S means that<br /> only &quot;trivial&quot; spaceships are known, with no single<br /> section that repeats at the full period.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#ffff80&quot;&gt;s&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;pr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td colspan=&quot;6&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 120 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==c/4 diagonal spaceships, puffers, rakes==<br /> S=Spaceship, P=Puffer, R=Rake. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;S&lt;/span&gt; means that only &quot;trivial&quot; spaceships are known, with no single section that repeats at the full period. A yellow &lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt; means that only one of the two possible output directions (backrake or siderake) is known.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;4:&lt;span style=&quot;background:#80ff80&quot;&gt;[[Glider|S]]&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;8:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173734#p173734 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;12:&lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180520#p180520 &lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffff80&quot;&gt;R&lt;/span&gt;]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;16:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=173700#p173700 S][https://conwaylife.com/forums/viewtopic.php?p=173821#p173821 P]&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180559#p180559 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;24:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180246#p180246 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;28:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180103#p180103 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;32:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;36:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;44:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180667#p180667 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;48:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180334#p180334 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;52:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180405#p180405 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;56:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180565#p180565 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;64:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;68:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;72:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179433#p179433 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;76:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180649#p180649 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;80:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179339#p179339 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;84:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;88:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;92:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;96:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180529#p180529 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;100:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180503#p180503 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;104:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;108:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180390#p180390 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;112:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;116:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179478#p179478 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180160#p180160 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;124:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180524#p180524 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;128:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180114#p180114 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;132:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180678#p180678 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;136:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180655#p180655 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;140:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180163#p180163 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;144:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;148:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;152:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;156:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180631#p180631 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;160:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=179486#p179486 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;164:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;168:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;176:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;180:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180644#p180644 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;184:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;188:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;192:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;196:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=186273#p186273 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;200:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;204:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;208:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;212:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;216:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;220:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180683#p180683 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;224:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;228:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=180694#p180694 SPR]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;232:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;236:&lt;span style=&quot;background:#ffa0a0&quot; class=&quot;plainlinks&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;240:&lt;span style=&quot;background:#80ff80&quot; class=&quot;plainlinks&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> All periods &lt;span class=&quot;plainlinks&quot;&gt;[https://conwaylife.com/forums/viewtopic.php?p=194520#p194520 over 2256]&lt;/span&gt; are known. Intervening periods are not documented here.&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part by Paul Tooke. The original method of building p205+10N and p410+5N rakes was developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later p185+5N.<br /> <br /> S=Spaceship, P=Puffer, R=Rake.<br /> <br /> &lt;table style=&quot;font-family:Courier New,monospace&quot; border=1 cellspacing=0&gt;<br /> &lt;tr&gt;<br /> &lt;td&gt;&amp;nbsp;&amp;nbsp;5:&lt;span style=&quot;background:#80ff80&quot;&gt;S&lt;/span&gt;&lt;span style=&quot;background:#c0c0c0&quot;&gt;PR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;10:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;15:&lt;span style=&quot;background:#80ff80&quot;&gt;SP&lt;/span&gt;&lt;span style=&quot;background:#ffa0a0&quot;&gt;r&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;20:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;25:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;30:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;35:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;40:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;45:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;50:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;55:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;&amp;nbsp;60:&lt;span style=&quot;background:#80ff80&quot;&gt;SPR&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;tr&gt;&lt;td colspan=12&gt;<br /> &lt;span style=&quot;background:#80ff80&quot;&gt;All periods over 60 are known.&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;<br /> <br /> == See also ==<br /> <br /> * [[LifeWiki:Spaceship Search Status Page|Spaceship Search Status Page]]<br /> * [[LifeWiki:Object counts|Object counts]]<br /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot;&gt;<br /> <br /> &lt;/references&gt;</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=172596 2026-05-16T00:14:26Z

<p>Sokwe: Added SKOP 116 news item</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''May 15''': [[Mitchell Riley]] [https://conwaylife.com/forums/viewtopic.php?p=228702#p228702 discovers] a new record smallest p116 oscillator that hassles the object seen in [[Karel's p177]].<br /> * '''May 14''': [[hibiscus]] [https://conwaylife.com/forums/viewtopic.php?p=228687#p228687 posts] a 208-glider [[synthesis]] of the smallest known [[solifuge]] spaceship variant, minimum population 1414.<br /> * '''May 11-12''': [[Dmitry Maitak]] [https://conwaylife.com/forums/viewtopic.php?p=228569#p228569 reduces] the [[Orion 2]] synthesis from 54 gliders to 31 gliders. Based on this, [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=228592#p228592 completes] the first synthesis of [[Orion]] in 67 gliders, which is subsequently [https://conwaylife.com/forums/viewtopic.php?p=228612#p228612 reduced] by [[vilc]] and [[KtT]] to 55 gliders.<br /> * '''May 8''': [[lumi]] completes [https://conwaylife.com/forums/viewtopic.php?p=228460#p228460 another large reduction] in linear propagator design, from February's 83K-cell design down to only 12372 cells, building on recent universal-constructor optimization work by [[russellsprouts]] and [[inductivetype]].<br /> * '''May 8''': [[vilc]] uses [https://conwaylife.com/forums/viewtopic.php?p=228452#p228452 98 gliders] to synthesize [[36P3H1V0.2]], which had been one of the four smallest spaceships with no known glider synthesis.<br /> * '''May 7''': [[Entity Valkyrie 2]] completes a [https://conwaylife.com/forums/viewtopic.php?p=228444#p228444 new series of 90-degree periodic reflectors] using an [[octomino II]]-to-glider [[converter]] found by [[Anivec]] and pointed out by [[Timelord Missionary]].<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe https://conwaylife.com/w/index.php?title=Template:CurrentNews&diff=172591 2026-05-15T00:25:32Z

<p>Sokwe: Moved April news to archive</p> <hr /> <div>&lt;noinclude&gt;[[Category:Main page templates]]&lt;!--<br /> Notes for administrators:<br /> <br /> 1) Use * wiki list format. <br /> 2) Always start on a new line and end with a linebreak.<br /> 3) Date items (month and day at beginning of list item)<br /> 4) Do not leave a blank line between items. <br /> 5) Keep this to about 4-5 items, and move older items to the archive as necessary/appropriate when adding new ones.<br /> <br /> Suggested format:<br /> * '''{Mmm. dd}''': {Short summary of news item, including discoverer if applicable, with any other relevant details} --&gt;<br /> &lt;/noinclude&gt;<br /> * '''May 14''': [[hibiscus]] [https://conwaylife.com/forums/viewtopic.php?p=228687#p228687 posts] a 208-glider [[synthesis]] of the smallest known [[solifuge]] spaceship variant, minimum population 1414.<br /> * '''May 11-12''': [[Dmitry Maitak]] [https://conwaylife.com/forums/viewtopic.php?p=228569#p228569 reduces] the [[Orion 2]] synthesis from 54 gliders to 31 gliders. Based on this, [[vilc]] [https://conwaylife.com/forums/viewtopic.php?p=228592#p228592 completes] the first synthesis of [[Orion]] in 67 gliders, which is subsequently [https://conwaylife.com/forums/viewtopic.php?p=228612#p228612 reduced] by [[vilc]] and [[KtT]] to 55 gliders.<br /> * '''May 8''': [[lumi]] completes [https://conwaylife.com/forums/viewtopic.php?p=228460#p228460 another large reduction] in linear propagator design, from February's 83K-cell design down to only 12372 cells, building on recent universal-constructor optimization work by [[russellsprouts]] and [[inductivetype]].<br /> * '''May 8''': [[vilc]] uses [https://conwaylife.com/forums/viewtopic.php?p=228452#p228452 98 gliders] to synthesize [[36P3H1V0.2]], which had been one of the four smallest spaceships with no known glider synthesis.<br /> * '''May 7''': [[Entity Valkyrie 2]] completes a [https://conwaylife.com/forums/viewtopic.php?p=228444#p228444 new series of 90-degree periodic reflectors] using an [[octomino II]]-to-glider [[converter]] found by [[Anivec]] and pointed out by [[Timelord Missionary]].<br /> <br /> &lt;!--<br /> --&gt;{{#ifeq:{{{nolinks|false}}}|true||<br /> <br /> &lt;div style=&quot;width: 100%; text-align: right&quot;&gt;'''[[Template:CurrentNews/editcopy|Editable news item submissions page]] &amp;bull; [[LifeWiki:News archive|Archive]] &amp;bull;&lt;/div&gt;}}</div>

Sokwe