https://conwaylife.com/w/api.php?action=feedcontributions&feedformat=atom&user=Praosylen 2026-11-11T20:26:59Z User contributions MediaWiki 1.45.3 https://conwaylife.com/w/index.php?title=User:Ian07/Cyclic&diff=133541 2023-07-18T00:30:01Z

<p>Praosylen: I was that anonymous commenter</p> <hr /> <div>List of people who have accidentally rediscovered [[cyclic]]:<br /> <br /> *2006: Ian Osgood&lt;ref name=&quot;Catagolue&quot;&gt;{{CiteCatagolue|page=object/xp2_g8861dmo8gz123dmgc221/b3s23|title=Cyclic|accessdate=February 6, 2021}}&lt;/ref&gt;<br /> *2010: [[Martin Grant]]&lt;ref name=&quot;post3909&quot; /&gt;<br /> *2012: [[praosylen]]&lt;ref name=&quot;Catagolue&quot; /&gt;&lt;ref name=&quot;post13252&quot; /&gt;&lt;ref&gt;yeah that was me&lt;/ref&gt;<br /> *2013: Alex3627ca&lt;ref name=&quot;post7784&quot; /&gt;{{refn|group=note|name=different|uses a different predecessor}}<br /> *2013: mkatz&lt;ref name=&quot;post7995&quot; /&gt;<br /> *2014: muzik&lt;ref name=&quot;post27752&quot; /&gt;<br /> *2018: Ian07&lt;ref&gt;Dude trust me&lt;/ref&gt;<br /> *2021: E-Sandy&lt;ref name=&quot;post121955&quot; /&gt;<br /> *2022: YellowCandy&lt;ref name=&quot;post152284&quot; /&gt;{{refn|group=note|name=different}}<br /> *2023: rutabaga&lt;ref name=&quot;post156755&quot; /&gt;<br /> *2023: Fixer_APX&lt;ref name=&quot;post163523&quot; /&gt;<br /> <br /> (if I missed any forum and/or Discord posts, please feel free to add them to the list)<br /> <br /> ==Notes==<br /> &lt;references group=note /&gt;<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post3909&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 3909<br /> |author = Martin Grant<br /> |date = November 30, 2010<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post7784&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 7784<br /> |author = Alex3627ca<br /> |date = April 20, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post7995&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 7995<br /> |author = mkatz<br /> |date = May 17, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post13252&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Useless Discoveries<br /> |p = 13252<br /> |author = praosylen<br /> |date = September 14, 2014<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post27752&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread for your unsure discoveries<br /> |p = 27752<br /> |author = muzik<br /> |date = February 24, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post121955&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Useless Discoveries<br /> |p = 121955<br /> |author = E-Sandy<br /> |date = February 6, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post152284&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Unnamed Period 2 Oscillator<br /> |p = 152284<br /> |author = YellowCandy<br /> |date = October 16, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post156755&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread for your unsure discoveries<br /> |p = 156755<br /> |author = rutabaga<br /> |date = January 31, 2023<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post163523&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 163523<br /> |author = Fixer_APX<br /> |date = July 10, 2023<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;</div>

Praosylen https://conwaylife.com/w/index.php?title=C/6_diagonal&diff=128965 2023-04-15T06:56:25Z

<p>Praosylen: /* Wickstretcher */ verb tense</p> <hr /> <div>{{Speed<br /> |image = seal<br /> |speed = c/6 diagonal<br /> |ss = yes<br /> |wick = yes<br /> }}<br /> '''c/6 diagonal''' is a diagonal [[speed]] that is equivalent to one sixth of the [[speed of light]].<br /> <br /> ==Spaceships==<br /> On September 17, {{year|2005}} [[Nicolay Beluchenko]] discovered the first c/6 diagonal [[spaceship]], [[seal]].&lt;ref&gt;{{LinkGoLNews|2005/09/c6_diagonal_spaceship.html|title=c/6 Diagonal Spaceship|date=September 17, 2005|author=Heinrich Koenig}}&lt;/ref&gt; Beluchenko then discovered a [[tagalong]] for this spaceship on September 22, 2005.&lt;ref&gt;{{CiteSummersPattern|name=jslife}}&lt;/ref&gt;&lt;ref&gt;{{LinkGoLNews|2005/12/object_miscellany.html|title=Object Miscellany|date=December 11, 2005|author=Heinrich Koenig}}&lt;/ref&gt; The first spaceship of this speed to be discovered not based on seal, [[77P6H1V1]], was discovered in March {{year|2011}} by [[Josh Ball]] and is currently the smallest known spaceship of this speed.<br /> <br /> [[Frank Everdij]] has found many c/6 diagonal spaceships starting in 2020.<br /> <br /> ==Puffers==<br /> No c/6 diagonal [[puffer]] technology is currently known.<br /> <br /> ==Wickstretcher==<br /> [[Frank Everdij]] [https://conwaylife.com/forums/viewtopic.php?p=160290#p160290 discovered] a c/6 diagonal [[tubstretcher]] in 2023.<br /> <br /> ==See also==<br /> * [[c/6 orthogonal]]<br /> * [[(2,1)c/6]]<br /> * {{CategoryLink|Speeds}}<br /> * {{CategoryLink|Spaceships with speed c/6}}<br /> <br /> ==References==<br /> &lt;references/&gt;<br /> <br /> ==External links==<br /> * {{LinkLexicon|lex_c.htm#c6spaceship|name=c/6 spaceship}}<br /> <br /> {{DISPLAYTITLE:c/6 diagonal}}<br /> <br /> __NOTOC__</div>

Praosylen https://conwaylife.com/w/index.php?title=Talk:Wings_(disambiguation)&diff=88550 2021-12-27T03:32:28Z

<p>Praosylen: Created page with &quot;27P4H1V1 also has &quot;wings&quot; as an alternate name. I&#039;d edit it in myself but I don&#039;t understand this new disambiguation format. – ~~~~&quot;</p> <hr /> <div>[[27P4H1V1]] also has &quot;wings&quot; as an alternate name. I'd edit it in myself but I don't understand this new disambiguation format. – [[User:Praosylen|Praosylen]] ([[User talk:Praosylen|talk]]) 03:32, 27 December 2021 (UTC)</div>

Praosylen https://conwaylife.com/w/index.php?title=Talk:Dead_spark_coil&diff=88547 2021-12-27T03:26:36Z

<p>Praosylen: /* Name change */ new section</p> <hr /> <div>== Name change ==<br /> <br /> I disagree. &quot;Dead spark coil&quot; is very well established terminology afaict. I'd revert this immediately if there weren't other helpful changes that happened too... Mentioning both names is fine, it's just that without a really good justification for it it seems very strange to be moving the page from its common name to a systematic one when the common name is very much in use. Obviously it depends on what the rest of the community thinks — feel free to discuss ofc! – [[User:Praosylen|Praosylen]] ([[User talk:Praosylen|talk]]) 03:26, 27 December 2021 (UTC)</div>

Praosylen https://conwaylife.com/w/index.php?title=User:77topaz/Forum_handles_table&diff=86260 2021-12-20T21:06:43Z

<p>Praosylen: ok that&#039;s probably all for now, I&#039;m sure I&#039;ll find a couple more at some point but it&#039;s mostly good</p> <hr /> <div>To make referencing patterns and other discoveries easier, I've decided to start compiling a table noting which forum handle corresponds to which real name used on this wiki. Feel free to add to this table if you want.<br /> <br /> {| class=&quot;wikitable sortable&quot;<br /> !Preferred name for credits<br /> !Forum handle<br /> !Discord handle<br /> !Discord nickname<br /> !LifeWiki username<br /> !Catagolue handle<br /> |-<br /> |[[Adam P. Goucher]]<br /> |calcyman<br /> |apgoucher<br /> |apgoucher<br /> |[[User:Calcyman|Calcyman]]<br /> |apgoucher@gmx.com<br /> |-<br /> |[[Dylan Chen]]<br /> |Dylan Chen<br /> |inspirehep<br /> |inspirehep<br /> |[[User:Dylan Chen|Dylan Chen]]<br /> |inspirehep@gmail.com{{refn|group=note|also Cloud_Bach}}<br /> |-<br /> |[[J.H. Yu]]<br /> |yujh<br /> |yujhtheyujh<br /> |!𝔶𝔲𝔧𝔥𝔱𝔥𝔢𝔶𝔲𝔧𝔥 the caterererer&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Yujh|Yujh]]<br /> |Yujh{{refn|group=note|also Yujh2 or Hunting (except for most of b2n3s23-q/C1)}}<br /> |-<br /> |<br /> |Cyclotrons<br /> |Cyclotrons<br /> |Cyclotrons<br /> |[[User:Cyclotrons|Cyclotrons]]<br /> |Cyclotrons<br /> |-<br /> |<br /> |dani<br /> |danielle{{refn|group=note|formerly moose}}<br /> |danielle&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot;&gt;changes often&lt;/ref&gt;<br /> |[[User:Dani|Dani]]<br /> |dani<br /> |-<br /> |[[Dave Greene]]<br /> |dvgrn<br /> |dvgrn<br /> |dvgrn<br /> |[[User:Dvgrn|Dvgrn]]<br /> |-<br /> |[[David Raucci]]<br /> |hotdogPi<br /> |hotdogPi<br /> |hotdogPi<br /> |[[User:HotdogPi|HotdogPi]]<br /> |-<br /> |[[Dongook Lee]]<br /> |Scorbie<br /> |NightlyHerb&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |Scorbie<br /> |[[User:Scorbie|Scorbie]]<br /> |-<br /> |[[Evin]]<br /> |EvinZL<br /> |Wait, What?<br /> |Caterest&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Evin|Evin]]<br /> |-<br /> |<br /> |Ian07<br /> |Ian07<br /> |Ian07<br /> |[[User:Ian07|Ian07]]<br /> |Ian07<br /> |-<br /> |[[Ignacy Jackl]]<br /> |IgnacyJ<br /> |IgnacyJ<br /> |IgnacyJ<br /> |[[User:IgnacyJ|IgnacyJ]]<br /> |IgnacyJ<br /> |-<br /> |[[Ivan Fomichev]]<br /> |codeholic<br /> |codeholic<br /> |codeholic<br /> |[[User:Codeholic|Codeholic]]<br /> |-<br /> |[[Jacob]]<br /> |moonsheep<br /> |<br /> |<br /> |[[User:Moonsheep|Moonsheep]]<br /> |-<br /> |[[Jeremy Tan]]<br /> |Freywa<br /> |Parcly Taxel<br /> |Parcly Taxel<br /> |[[User:Freywa|Freywa]]<br /> |-<br /> |[[John Winston Garth]]<br /> |winston<br /> |winston<br /> |Christristiax<br /> |<br /> |winstax<br /> |-<br /> |[[Kalan Warusa]]<br /> |ihatecorderships<br /> |Ball Lightning<br /> |Ihatecorderships<br /> |[[User:Ihatecorderships|Ihatecorderships]]<br /> |-<br /> |[[Matthias Merzenich]]<br /> |Sokwe<br /> |Sokwe<br /> |Matthias Merzenich<br /> |[[User:Sokwe|Sokwe]]<br /> |-<br /> |<br /> |Moosey<br /> |Moooosey<br /> |ought to do CA again&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Moosey|Moosey]]<br /> |Moosey<br /> |-<br /> |[[Connor Steppie]]<br /> |muzik<br /> |lordmuzik848<br /> |Партин Моляков<br /> |[[User:AwesoMan3000|AwesoMan3000]]<br /> |muzikbike<br /> |-<br /> |<br /> |wwei47{{refn|group=note|formerly wwei23}}<br /> |xp3_xggk171z8e82<br /> |Self-labeled synthesis &quot;expert&quot;&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Prime Raptor21|Prime Raptor21]]{{refn|group=note|formerly Wwei23}}<br /> |ilovecoding23@gmail.com<br /> |-<br /> |[[Alex Greason]]<br /> |AGreason<br /> |Exa<br /> |Exa<br /> |-<br /> |<br /> |bubblegum<br /> |sonata «pathétique»<br /> |sonata<br /> |[[User:Bubblegum|Bubblegum]]<br /> |-<br /> |<br /> |cvojan<br /> |cq<br /> |$$$<br /> |[[User:Cvojan|Cvojan]]<br /> |-<br /> |<br /> |goldenratio<br /> |phiisnotcoolanymore&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |goldenratio&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Goldenratio|Goldenratio]]<br /> |onepoint618<br /> |-<br /> |<br /> |iNoMed<br /> |iNoMed<br /> |iNoMed<br /> |[[User:INoMed|INoMed]]<br /> |-<br /> |[[James Pascua]]<br /> |JP21<br /> |Jam11<br /> |<br /> |[[User:JP21|JP21]]<br /> |-<br /> |[[Mark Niemiec]]<br /> |mniemiec<br /> |StrongAxe<br /> |Mark D. Niemiec<br /> |-<br /> |<br /> |MathAndCode<br /> |Danny2197<br /> |MathAndCode<br /> |[[User:MathAndCode|MathAndCode]]<br /> |-<br /> |[[Nico Brown]]<br /> |glider_rider<br /> |turingcomplete30<br /> |Nico (glider_rider)<br /> |-<br /> |[[Nikola K.]]<br /> |andrewph33<br /> |andrewthediscorder<br /> |andrewthediscorder<br /> |-<br /> |[[Oscar Cunningham]]<br /> |Macbi<br /> |Macbi<br /> |Macbi<br /> |-<br /> |[[Pavel Grankovskiy]]<br /> |Pavgran<br /> |Pavgran<br /> |Pavgran<br /> |-<br /> |<br /> |Saka<br /> |Droseraman<br /> |Saka<br /> |[[User:Saka|Saka]]<br /> |-<br /> |[[Tanner Jacobi]]<br /> |Kazyan<br /> |Kazyan<br /> |Kazyan<br /> |-<br /> |<br /> |praosylen&lt;ref name=&quot;4A4A&quot; group=&quot;note&quot;&gt;formerly A for awesome&lt;/ref&gt;<br /> |praosylen<br /> |&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Praosylen|Praosylen]]&lt;ref name=&quot;4A4A&quot; group=&quot;note&quot; /&gt;<br /> |0x6ef79077fbb<br /> |-<br /> |83bismuth38<br /> |Dui Mauris Football<br /> |gbrldvs&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |-<br /> |<br /> |AforAmpere<br /> |AforAmpere<br /> |Ampere<br /> |-<br /> |[[Andrew J. Wade]]<br /> |mscibing<br /> |mscibing<br /> |-<br /> |[[Arie Paap]]<br /> |wildmyron<br /> |wildmyron<br /> |-<br /> |<br /> |Blinkerspawn<br /> |AxiomaticSystem<br /> |Blinkerspawn<br /> |-<br /> |[[Brett Berger]]<br /> |biggiemac<br /> |biggiemac42<br /> |-<br /> |<br /> |M. I. Wright<br /> |caramel&lt;ref name=&quot;wright&quot; group=&quot;note&quot;&gt;formerly Wright&lt;/ref&gt;<br /> |caramel&lt;ref name=&quot;wright&quot; group=&quot;note&quot; /&gt;<br /> |-<br /> |<br /> |cgoler2<br /> |cgoler2<br /> |just red<br /> |[[User:Cgoler2|Cgoler2]]<br /> |-<br /> |<br /> |gameoflifemaniac<br /> |Illuminati65<br /> |Illuminati65<br /> |-<br /> |[[John Goodman]]<br /> |John Goodman<br /> |<br /> |<br /> |<br /> |John Goodman<br /> |-<br /> |<br /> |KittyTac<br /> |KittyTac<br /> |FOOF + ClF3<br /> |-<br /> |[[Mateusz Naściszewski]]<br /> |<br /> |Mateon1<br /> |Mateon1<br /> |-<br /> |<br /> |Redstoneboi<br /> |Redstoneboi<br /> |RS BOB<br /> |-<br /> |[[Rob Liston]]<br /> |rliston<br /> |<br /> |<br /> |<br /> |rliston@gmail.com<br /> |-<br /> |<br /> |Sarp<br /> |Sarperen<br /> |Sarp<br /> |-<br /> |<br /> |_zM<br /> |_zM<br /> |bird&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |-<br /> |[[Alexey Nigin]]<br /> |Alexey_Nigin<br /> |-<br /> |[[Andrzej Okrasinski]]<br /> |ohennel<br /> |-<br /> |[[Avery Feingold]]<br /> |NimbleRogue<br /> |-<br /> |[[Chris Cain]]<br /> |chris_c<br /> |-<br /> |[[Chris Rowett]]<br /> |rowett<br /> |-<br /> |[[David Bell]]<br /> |dbell<br /> |-<br /> |[[David S. Miller]]<br /> |dsmiller<br /> |-<br /> |[[Dean Hickerson]]<br /> |Dean Hickerson<br /> |-<br /> |[[Ed Pegg Jr]]<br /> |EdPeggJr<br /> |-<br /> |[[Emerson J. Perkins]]<br /> |knightlife<br /> |-<br /> |[[Frank Everdij]]<br /> |dexter1<br /> |-<br /> |[[Hartmut Holzwart]]<br /> |HartmutHolzwart<br /> |-<br /> |[[Heinrich Koenig]]<br /> |hkoenig<br /> |-<br /> |[[Jason Summers]]<br /> |Jason Summers<br /> |-<br /> |[[Josh Ball]]<br /> |velcrorex<br /> |-<br /> |[[Karel Suhajda]]<br /> |Kasuha<br /> |-<br /> |[[Keith Amling]]<br /> |amling<br /> |-<br /> |[[Kiran Linsuain]]<br /> |Kiran<br /> |-<br /> |[[Lewis Patterson]]<br /> |Lewis<br /> |-<br /> |[[Louis-François Handfield]]<br /> |Jormungant<br /> |-<br /> |[[Luka Okanishi]]<br /> |AbhpzTa<br /> |-<br /> |[[Martin Grant]]<br /> |Extrementhusiast<br /> |-<br /> |[[Matti Ward]]<br /> |mattiward<br /> |-<br /> |[[Michael Simkin]]<br /> |simsim314<br /> |-<br /> |[[Mike Playle]]<br /> |MikeP<br /> |-<br /> |[[Nick Gotts]]<br /> |NickGotts<br /> |-<br /> |[[Park Shinhwan]]<br /> |Dannyu NDos/David<br /> |-<br /> |[[Paul Callahan]]<br /> |pcallahan<br /> |-<br /> |[[Paul Chapman]]<br /> |igblan<br /> |-<br /> |[[Paul Tooke]]<br /> |Paul Tooke<br /> |-<br /> |[[Rich Holmes]]<br /> |Rich Holmes<br /> |-<br /> |[[Richard Schank]]<br /> |flipper77<br /> |-<br /> |[[Sergey Petrov]]<br /> |Guam<br /> |-<br /> |[[Shannon Omick]]<br /> |skomick<br /> |-<br /> |[[Scot Ellison]]<br /> |scote<br /> |-<br /> |[[Simon Ekström]]<br /> |simeks<br /> |-<br /> |[[Stephen Silver]]<br /> |SAS<br /> |-<br /> |[[Szymon Bartosiewicz]]<br /> |lifeisawesome<br /> |-<br /> |[[Tim Coe]]<br /> |moebius<br /> |-<br /> |[[Tim Hutton]]<br /> |Tim Hutton<br /> |-<br /> |[[Tomas Rokicki]]<br /> |rokicki<br /> |-<br /> |[[Yoel Matveyev]]<br /> |Yoel<br /> |-<br /> |<br /> |C28<br /> |<br /> |<br /> |[[C28]]<br /> |}<br /> ==Notes==<br /> &lt;references group=&quot;note&quot; /&gt;</div>

Praosylen https://conwaylife.com/w/index.php?title=User:HotdogPi/My_discoveries/Period_31-42&diff=86259 2021-12-20T21:03:47Z

<p>Praosylen: oops, missed another one!</p> <hr /> <div>{|<br /> |{{EmbedViewer<br /> |rle = <br /> 15b2o12b2o$15bobo4b2o4bobo$17bo3bo2bo3bo$17b2o3b2o3b2o$19b3o2b3o$17b4o<br /> b2ob4o$16bo5b2o5bo$14bo2bo10bo2bo$14b2obob8obob2o$15bobob8obobo$15bobo<br /> b8obobo$16bo12bo3$7b2o28b2o$2o6b3o24b3o6b2o$o5bo4bo22bo4bo5bo$b3obob4o<br /> 24b4obob3o$3bobo17b2o15bobo$4b2o2b3o10bo2bo10b3o2b2o$4b2o2b3o9b2o2b2o<br /> 9b3o2b2o$2bobo3b3o7b3o4b2o8b3o3bobo$bobob2ob3o7bo16b3ob2obobo$bobob2ob<br /> 3o16bo7b3ob2obobo$2bobo3b3o8b2o4b3o7b3o3bobo$4b2o2b3o9b2o2b2o9b3o2b2o$<br /> 4b2o2b3o10bo2bo10b3o2b2o$3bobo15b2o17bobo$b3obob4o24b4obob3o$o5bo4bo<br /> 22bo4bo5bo$2o6b3o24b3o6b2o$7b2o28b2o3$16bo12bo$15bobob8obobo$15bobob8o<br /> bobo$14b2obob8obob2o$14bo2bo10bo2bo$16bo5b2o5bo$17b4ob2ob4o$19b3o2b3o$<br /> 17b2o3b2o3b2o$17bo3bo2bo3bo$15bobo4b2o4bobo$15b2o12b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = p21 [[I-heptomino]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 112bo$111bobo$112bob3o2b2o$111b2ob2o3b2o$110bo2bo$111b4o$93b2o2b2o$51b<br /> 2o2b2o6b2o11bo11bo5bo3bo12b4o$7b2obo35b2o3b2o2bobo5bo10b3o5b2o3bobo4bo<br /> bobob2o8bo2bo$8bob3o27b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo9b2ob<br /> 2o3b2o$6bobo4bo3b2o15b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob3o5bo3bob2o7bo<br /> b3o2b2o$2b2obobob3obo3bo2b2o12bobo4bob2obobo9bobo9b4o6b4o3bo8b2o3bobob<br /> o5bobo$o2bobobobo8b2o2bo13bo2b2obobobo4b2o2b2obo8b2o5bo2b2o5b2o3b2ob2o<br /> 7b2o2bo6bo$2obo2b2o2bo8bobo8b2o2bobobobobo3bo5bo3bob2o4bobo3b2o2bob2o<br /> 3b3o2b3obob2o6b2o2b3o30b2o2b2o$3bo5bo9bobo4bob4o2bobo2bob2obobobo4bo2b<br /> obob2ob4obo3bob2o9bo4bo3b2o9b2o30bo3bo5bo11bo11b2o6b2o2b2o$3b2o4bo8b2o<br /> bobobob3obo3b2o3bo2b2o3b2o3b2ob2o2b3o2b2o4b2ob4o3b3ob2o2b2obo3b5o8b2o<br /> 23b2obobobo4bobo3b2o5b3o10bo5bobo2b2o3b2o35bob2o$5bo3bo2bo4bo2bob4o11b<br /> 2obo6b3o2b2o3bobo8b2o2bo4bobobobo8bo3b2ob2o5b2ob3o4b3o15bobobobo5bo2bo<br /> bobo2bo5bo3b2ob3o6bo9bobo3b2o27b3obo$5bo3bo2bo4b2o4b2o4bo6bo3bo6b3o2bo<br /> 2b2o5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o4bo14b2obo3bo5b3ob2obo4b6o3bob<br /> obo5b2ob9obobo3bo5b2o15b2o3bo4bobo$3b2o4bo7b2o4b2o4bo6bo3bo6b3o2bo2b2o<br /> 5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o4b2o12bobobo3b2o8bo3b4o6b4o9bobo9b<br /> obob2obo4bobo12b2o2bo3bob3obobob2o$3bo5bo7bo2bob4o11b2obo6b3o2b2o3bobo<br /> 8b2o2bo4bobobobo8bo3b2ob2o5b2ob3o18bo2b2o7b2ob2o3b2o5b2o2bo5b2o8bob2o<br /> 2b2o4bobobob2o2bo13bo2b2o8bobobobo2bo$2obo2b2o2bo7b2obobobob3obo3b2o3b<br /> o2b2o3b2o3b2ob2o2b3o2b2o4b2ob4o3b3ob2o2b2obo3b5o8b2o18b3o2b2o6b2obob3o<br /> 2b3o3b2obo2b2o3bobo4b2obo3bo5bo3bobobobobo2b2o8bobo8bo2b2o2bob2o$o2bob<br /> obobo9bobo4bob4o2bobo2bob2obobobo4bo2bobob2ob4obo3bob2o9bo4bo3b2o9b2o<br /> 22b2o9b2o3bo4bo9b2obo3bob4ob2obobo2bo4bobobob2obo2bobo2b4obo4bobo9bo5b<br /> o$2b2obobob3obo5bobo8b2o2bobobobobo3bo5bo3bob2o4bobo3b2o2bob2o3b3o2b3o<br /> bob2o6b2o2b3o18b2o8b5o3bob2o2b2ob3o3b4ob2o4b2o2b3o2b2ob2o3b2o3b2o2bo3b<br /> 2o3bob3obobobob2o8bo4b2o$6bobo4bo4b2o2bo13bo2b2obobobo4b2o2b2obo8b2o5b<br /> o2b2o5b2o3b2ob2o7b2o2bo18b3ob2o5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o<br /> 6bob2o11b4obo2bo4bo2bo3bo$8bob3o4bo2b2o12bobo4bob2obobo9bobo9b4o6b4o3b<br /> o8b2o3bobobo12b2o4b3ob2ob2o5bobobob2o4bo2bo5bo4b2o7bo5b2o2bo2b3o6bo3bo<br /> 6bo4b2o4b2o4bo2bo3bo$7b2obo6b2o15b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob3o<br /> 5bo3bob2o14bo4b3ob2ob2o5bobobob2o4bo2bo5bo4b2o7bo5b2o2bo2b3o6bo3bo6bo<br /> 4b2o4b2o7bo4b2o$40b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo15b3o4b3o<br /> b2o5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o6bob2o11b4obo2bo7bo5bo$46b2o<br /> 3b2o2bobo5bo10b3o5b2o3bobo4bobobob2o23b2o8b5o3bob2o2b2ob3o3b4ob2o4b2o<br /> 2b3o2b2ob2o3b2o3b2o2bo3b2o3bob3obobobob2o7bo2b2o2bob2o$51b2o2b2o6b2o<br /> 11bo11bo5bo3bo30b2o9b2o3bo4bo9b2obo3bob4ob2obobo2bo4bobobob2obo2bobo2b<br /> 4obo4bobo9bobobobo2bo$93b2o2b2o30b3o2b2o6b2obob3o2b3o3b2obo2b2o3bobo4b<br /> 2obo3bo5bo3bobobobobo2b2o8bobo5bob3obobob2o$123bo6bo2b2o7b2ob2o3b2o5b<br /> 2o2bo5b2o8bob2o2b2o4bobobob2o2bo13bo2b2o4bo4bobo$122bobo5bobobo3b2o8bo<br /> 3b4o6b4o9bobo9bobob2obo4bobo12b2o2bo4b3obo$115b2o2b3obo7b2obo3bo5b3ob<br /> 2obo4b6o3bobobo5b2ob9obobo3bo5b2o15b2o6bob2o$115b2o3b2ob2o9bobobobo5bo<br /> 2bobobo2bo5bo3b2ob3o6bo9bobo3b2o$122bo2bo8b2obobobo4bobo3b2o5b3o10bo5b<br /> obo2b2o3b2o$121b4o12bo3bo5bo11bo11b2o6b2o2b2o$137b2o2b2o$121b4o$122bo<br /> 2bo$115b2o3b2ob2o$115b2o2b3obo$122bobo$123bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = p21 R-pentomino hassler, requiring 690P7s.<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 9bobo16bobo$9b2obo14bob2o$12bo2b2o6b2o2bo$9b2obobobo6bobobob2o$9bo2bo<br /> 2bo8bo2bo2bo$11bo16bo$13bo12bo$11b3o5b2o5b3o$18bo2bo$15b2obo2bob2o$7b<br /> 2o6b2obo2bob2o$2o6b3o7bo2bo$o5bo4bo7b2o$b3obob3obo$3bobobo$4b2o2bo20b<br /> 2o$7bo19b3o6b2o$2bo4bo18bo4bo5bo$bobo3bo2bo15bob3obob3o$bobo3bo2bo6b3o<br /> 10bobobo$2bo4bo9bobo9bo2b2o$7bo9bo2bo9bo$4b2o2bo9bobo9bo4bo$3bobobo10b<br /> 3o6bo2bo3bobo$b3obob3obo15bo2bo3bobo$o5bo4bo18bo4bo$2o6b3o19bo$7b2o20b<br /> o2b2o$30bobobo$26bob3obob3o$17b2o7bo4bo5bo$16bo2bo7b3o6b2o$13b2obo2bob<br /> 2o6b2o$13b2obo2bob2o$16bo2bo$9b3o5b2o5b3o$11bo12bo$9bo16bo$7bo2bo2bo8b<br /> o2bo2bo$7b2obobobo6bobobob2o$10bo2b2o6b2o2bo$7b2obo14bob2o$7bobo16bobo<br /> !<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = p21 LoM hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 66b2o$66bobo9b2o5b2o$21b2o44bo10b2o5b2o$2b2o5b2o9bobo$2b2o5b2o10bo57bo<br /> 5bo$70bo8b2o3b2o$3bo5bo58b2o9bobobobo$3b2o3b2o8bo52b2o8bobo$3bobobobo<br /> 9b2o49bo10bobo$5bobo8b2o53bo4b2obobobobob2o$5bobo10bo37b2o3b2o6b4o4bo<br /> 3bobo3bo$2obobobobob2o4bo36bo3bobo3bo4b4o6b2o3b2o$bo3bobo3bo4b4o6b2o3b<br /> 2o20b2obobobobob2o4bo$3b2o3b2o6b4o4bo3bobo3bo23bobo10bo$18bo4b2obobobo<br /> bob2o22bobo8b2o$17bo10bobo25bobobobo9b2o6b2o$18b2o8bobo25b2o3b2o8bo8bo<br /> $15b2o9bobobobo23bo5bo15bobo$17bo8b2o3b2o45b2o$26bo5bo22b2o5b2o6bo3bo$<br /> 55b2o5b2o4b2o5bo$14bo10b2o5b2o35b2o4b2o$13bobo9b2o5b2o40b2o$13b2o57bo<br /> 2bo2bo$64bo7b2obobobob2o$63bo11bobob2obo$63b3o9b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = [[p21 B-heptomino hassler|p21 pi factory]] and related gun (gun co-discovered with Tanner Jacobi).&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 17bobo$14bo2b2obo$14b3o3bo$18b2ob2obo$16b2obobob2o$16bo$17b2obo$14b3o<br /> 3bo23bobo$14bo2b2o24bob2o2bo$15bobo25bo3b3o$14b2obob2ob2ob2o12bob2ob2o<br /> $14bo2bo3bobob2o12b2obobob2o$15b2o4bobo23bo$17b5ob4o16bob2o$17bo4bo4bo<br /> 15bo3b3o$18b3obob3o18b2o2bo$14bo5b2ob2o4b2o15bobo$10b2obobo13b2o6b2ob<br /> 2ob2obob2o$10b2obobo21b2obobo3bo2bo$3b2o8bob2o6bobo14bobo4b2o$4bo5b4o<br /> 3bo4bo14b4ob5o$3bo5bo4bob2o4bo3bo9bo4bo4bo5b2ob2o4b2o$3b2o4b2ob2o3bo4b<br /> o3bob3o6b3obob3o5bob2obo4bo$b2o3bo2b2o4b2o5bo5bobo8b2ob2o7bo4bob2obo$o<br /> 2bob2o2b3obobo7bobo2b3o18b2ob4obobo2b2o$bobo2bobo2bo3bo32bo3bo2bobo2bo<br /> bo$2o2bobob4ob2o18b3o2bobo7bobob3o2b2obo2bo$2bob2obo4bo7b2ob2o8bobo5bo<br /> 5b2o4b2o2bo3b2o$2bo4bob2obo5b3obob3o6b3obo3bo4bo3b2ob2o4b2o$b2o4b2ob2o<br /> 5bo4bo4bo9bo3bo4b2obo4bo5bo$17b5ob4o14bo4bo3b4o5bo$15b2o4bobo14bobo6b<br /> 2obo8b2o$14bo2bo3bobob2o21bobob2o$14b2obob2ob2ob2o6b2o13bobob2o$15bobo<br /> 15b2o4b2ob2o5bo$14bo2b2o18b3obob3o$14b3o3bo15bo4bo4bo$17b2obo16b4ob5o$<br /> 16bo23bobo4b2o$16b2obobob2o12b2obobo3bo2bo$18b2ob2obo12b2ob2ob2obob2o$<br /> 14b3o3bo25bobo$14bo2b2obo24b2o2bo$17bobo23bo3b3o$43bob2o$47bo$39b2obob<br /> ob2o$39bob2ob2o$43bo3b3o$43bob2o2bo$44bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = p21 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 61b2o$62bo$62bobo13b3o$58b2o3b2o3bo8bo3bo$58b2o7bob2o6bo4bo$66bo4bo6b<br /> 2obo$67bo3bo8bo3b2o$53b2o3b3o7b3o13bobo$53b2o3bobo25bo$58b3o25b2o4$58b<br /> 2o$44b2o12b2o$44b2o12b2o3$39b2o6b3o2b3o$39b2o6bobo2bobo6b2o$47b3o2b3o<br /> 6b2o3$42b2o12b2o$42b2o12b2o$30b2o10b2o$30b2o3$25b2o3b3o8b3o$25b2o3bobo<br /> 8bobo3b2o$30b3o8b3o3b2o3$42b2o$30b2o10b2o$30b2o$30b2o2$19b2o$2o15b2o2b<br /> o2b3o$bo7bo7bo3bo2bobo6b2o$bobo3b2ob2o4bo4bo2b3o6b2o$2b2o10bob3obo$7b<br /> 2o5bo3bobo$6bobo3bo5b2o8b2o$6bob3obo10b2o3b2o$5bo4bo4b2ob2o3bobo$5bo3b<br /> o7bo7bo$5bo2b2o15b2o$6b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p22 traffic light hassler, co-discovered with Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 25b2o$17bo7bo$7b2o14bobo$6bo2b2o12b2o$6b2ob2o7b3o$6b3o7b2ob2o$2b2o12b<br /> 2o2bo$bobo14b2o$bo7bo$2o5$22b2o$22bobo$24bo$14b2o6b3o10b2o$13bobo19bo$<br /> 13bo19bobo$12b2o10b3o6b2o$24bo$24bobo$25b2o5$47b2o$39bo7bo$29b2o14bobo<br /> $28bo2b2o12b2o$28b2ob2o7b3o$28b3o7b2ob2o$24b2o12b2o2bo$23bobo14b2o$23b<br /> o7bo$22b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p22 B-heptomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 22b2o4b2o$22b2o5bo$28bo$22b4o2b2o$21bo2bobobo2bo$21b2o3bo3b2o$19b2o3b<br /> 3o26bo$18bo2b5o8b2o17b2o$18b2obo13bo17b3o$21bob2o10bobo5bo6b2o$21bob2o<br /> 11b2o4b3o5b3o$22bo18bo2bo5b3o$42b3o5bo2bo$19bo6b3o13b3o5b3o4b2o$2o17b<br /> 2o5bobo14b2o6bo5bobo$bo17b3o4b3o3b3o4b3o17bo$bobo5bo6b2o14bobo5b2o17b<br /> 2o$2b2o4b3o5b3o13b3o6bo$7bo2bo5b3o$8b3o5bo2bo18bo$8b3o5b3o4b2o11b2obo$<br /> 9b2o6bo5bobo10b2obo$5b3o17bo13bob2o$6b2o17b2o8b5o2bo$7bo26b3o3b2o$29b<br /> 2o3bo3b2o$29bo2bobobo2bo$31b2o2b4o$32bo$31bo5b2o$31b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p22 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 25b2o7b2o$6b2o17bo2b2ob2o2bo$5bobo18b2obobob2o$5bo21bo5bo$ob2ob2o4b2o<br /> 14bo5bo$2ob2o5bobo9b2o4b5o$5bo4bo10b2o6b3o$5bo2bo3bo12bo3bobo$5b2obobo<br /> 13b2o3b3o$5bo4bo3bo9bo4b3o$4b3o4bo3bobo12bo$5bo4bo6bo$5b2obobo3b2obo<br /> 39b2o$5bo2bo3bo44bobo$5bo4bo7bobo38bo$2ob2o5bobo5bo2bo30b2o4b2ob2obo$o<br /> b2ob2o4b2o4bo3bo6b3o10b2o9bobo5b2ob2o$5bo10b2o3bo5bo3bo10b2o10bo4bo$5b<br /> o10b2o3bo4bo5bo6bo12bo3bo2bo$ob2ob2o4b2o4bo3bo4bo5bo6b2o13bobob2o$2ob<br /> 2o5bobo5bo2bo4bo5bo7bo9bo3bo4bo$5bo4bo7bobo6bo3bo15bobo3bo4b3o$5bo2bo<br /> 3bo15b3o16bo6bo4bo$5b2obobo3b2obo29bob2o3bobob2o$5bo4bo6bo16b3o15bo3bo<br /> 2bo$4b3o4bo3bobo15bo3bo6bobo7bo4bo$5bo4bo3bo9bo7bo5bo4bo2bo5bobo5b2ob<br /> 2o$5b2obobo13b2o6bo5bo4bo3bo4b2o4b2ob2obo$5bo2bo3bo12bo6bo5bo4bo3b2o<br /> 10bo$5bo4bo10b2o10bo3bo5bo3b2o10bo$2ob2o5bobo9b2o10b3o6bo3bo4b2o4b2ob<br /> 2obo$ob2ob2o4b2o30bo2bo5bobo5b2ob2o$5bo38bobo7bo4bo$5bobo44bo3bo2bo$6b<br /> 2o39bob2o3bobob2o$47bo6bo4bo$34bo12bobo3bo4b3o$33b3o4bo9bo3bo4bo$33b3o<br /> 3b2o13bobob2o$33bobo3bo12bo3bo2bo$33b3o6b2o10bo4bo$32b5o4b2o9bobo5b2ob<br /> 2o$31bo5bo14b2o4b2ob2obo$31bo5bo21bo$30b2obobob2o18bobo$29bo2b2ob2o2bo<br /> 17b2o$29b2o7b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 honey farm hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 23b3o$23b3o$23b3o$20b3o$20b3o$20b3o$3o$3o$3o$3b3o$3b3o$3b3o12b3o$12bob<br /> o3bobo$12bobo3bobo$12b3o12b3o$27b3o$27b3o$30b3o$30b3o$30b3o$10b3o$10b<br /> 3o$10b3o$7b3o$7b3o$7b3o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 pi-heptomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 57b3o$2b2o24b2o15b2o14bo$o2bo24bo2bo11bo2bo9bo4bo$60bo$57b2o$2obo24bob<br /> 2o11b2obo10bo$2bobo2b2o14b2o2bobo15bobo2b2o5bo$3bo4bo14bo4bo17bo4bo5bo<br /> $4bo22bo19bo13b2o$4bo2bo16bo2bo19bo2bo$12b3o2b3o35b3obo3bo$12bobo2bobo<br /> 35bobobo4bo$12b3o2b3o35b3o3bobobo$62bobobo$63bo4bo$64bo3bo2$8b2o12b2o<br /> 27b2o12b2o$6bob2o12b2obo23bob2o$5bo20bo21bo$8bo14bo27bo$4b2obo16bob2o<br /> 19b2obo$4b2o20b2o19b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 traffic light hassler; monomer form by Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 16b2o$16b2o2$16bo$16b3o$16bo2bo$17bobo$17bob2o$16b2o3bo$32b2o$21bobo8b<br /> 2o$7b2o13bo$6bo2bo20b4o$5bobobo19bo4bo$5bobob2o5b2o10bob5o$3b2obo3bo4b<br /> o2bo9bo6b2o$3bo2bob2o5bo2bo8b2obobobo2bo$2obobobo2bo5b2o2b2o5bo2bobobo<br /> b2o$o2bobobob2o8bo2bo5b2obo2bo$b2o6bo9bo2bo4bo3bob2o$3b5obo10b2o5b2obo<br /> bo$3bo4bo19bobobo$4b4o20bo2bo$15bo13b2o$4b2o8bobo$4b2o$16bo3b2o$17b2ob<br /> o$18bobo$18bo2bo$19b3o$21bo2$20b2o$20b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 pond hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 58b2o$58bobo$44b2o14bo$43bo2bo6b2o4b2ob2obo$41bo2bobo6bobo3bo2bob2o$<br /> 45bo10bo3bo$41bob2o9bo3bob2o$6b2o34bo11bo3b4o$5bobo23b2o14bo6b3obo$5bo<br /> 14b2o9bo13bo2bo5b2o3bobo$ob2ob2o4b2o6bo2bo9b3o8b3ob3o4b3obo$2obo2bo3bo<br /> bo6bobo2bo2b2o5bo9bobobo5bo3b4o$5bo3bo10bo7bo16b3o6bo3bob2o$4b2obo3bo<br /> 9b2obo3bobo15bo9bo3bo$4b4o3bo11bo5b2o4b2o16bobo3bo2bob2o$7bob3o6bo15bo<br /> bo11bo4b2o4b2ob2obo$4bobo3b2o5bo2bo13bobo10bobo10bo$7bob3o4b3ob3o11b2o<br /> 11bobo10bo$4b4o3bo5bobobo26bo4b2o4b2ob2obo$4b2obo3bo6b3o32bobo3bo2bob<br /> 2o$5bo3bo9bo26bo9bo3bo$2obo2bo3bobo32b3o6bo3bob2o$ob2ob2o4b2o4bo26bobo<br /> bo5bo3b4o$5bo10bobo11b2o11b3ob3o4b3obo$5bo10bobo10bobo13bo2bo5b2o3bobo<br /> $ob2ob2o4b2o4bo11bobo15bo6b3obo$2obo2bo3bobo16b2o4b2o5bo11bo3b4o$5bo3b<br /> o9bo15bobo3bob2o9bo3bob2o$4b2obo3bo6b3o16bo7bo10bo3bo$4b4o3bo5bobobo9b<br /> o5b2o2bo2bobo6bobo3bo2bob2o$7bob3o4b3ob3o8b3o9bo2bo6b2o4b2ob2obo$4bobo<br /> 3b2o5bo2bo13bo9b2o14bo$7bob3o6bo14b2o23bobo$4b4o3bo11bo34b2o$4b2obo3bo<br /> 9b2obo$5bo3bo10bo$2obo2bo3bobo6bobo2bo$ob2ob2o4b2o6bo2bo$5bo14b2o$5bob<br /> o$6b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 LOM hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 35b2o2b2o$33bo2bo2bo2bo$33b2o2b2o2b2o$35b2o2b2o$33b2ob4ob2o$32bo10bo$<br /> 32bobo2b2o2bobo$36bo2bo$33b4o2b4o$32bo4b2o4bo$34b2o4b2o$31b2obob4obob<br /> 2o$31b2o3bo2bo3b2o$32bob2o4b2obo$31b4obo2bob4o$31bo4bo2bo4bo$30b2obo2b<br /> o2bo2bob2o$32bo10bo$32bo10bo$32b2o8b2o$17b2o13bobo6bobo$6bo2bo2bo3bo2b<br /> ob2o13b4o$6b7o2bob3obo11bob6obo$2o13bo6b3o9b8o$bo2b11ob6o2bo$bobo8bo3b<br /> o5bo$2obob2o2b3o3bob2o2bo8b2o$o5bobobo7bo2bo6b4o$b2ob2ob3o9bo6bobob2o$<br /> 2bobo2b3o12b2obo2bob2o8bo$2bobo2b3o12b2obo2bob2o6b2o$b2ob2ob3o9bo6bobo<br /> b2o6bo2b2o$o5bobobo7bo2bo6b4o5bo$2obob2o2b3o3bob2o2bo8b2o4b2o$bobo8bo<br /> 3bo5bo$bo2b11ob6o2bo$2o13bo6b3o$6b7o2bob3obo$6bo2bo2bo3bo2bob2o14b8o$<br /> 17b2o16b3ob4ob3o$34bo12bo$35b7o2b2obo$45b2o$37bob5o$36bobo5b3o$36bobo<br /> 3b2o3bo$35b2ob2obobob2o$42bo2bo$43bobo$41bobob2o$41b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 beehive hassler and pipsquirter, optimized for clearance&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 38b2o4bo4b2o$37bo2bobo3bobo2bo$37b3o9b3o11b2o$40b2o5b2o10b2obo2bo3bo2b<br /> o2bo$39bo2b5o2bo10bob3obo2b7o$17b2o20b2o7b2o7b3o6bo13b2o$6bo2bo2bo3bo<br /> 2bob2o34bo2b6ob11o2bo$6b7o2bob3obo37bo5bo3bo8bobo$2o13bo6b3o25b2o8bo2b<br /> 2obo3b3o2b2obob2o$bo2b11ob6o2bo25b4o6bo2bo7bobobo5bo$bobo8bo3bo5bo20b<br /> 2o5b2obobo6bo9b3ob2ob2o$2obob2o2b3o3bob2o2bo8b2o10bo2bo4b2obo2bob2o12b<br /> 3o2bobo$o5bobobo7bo2bo6b4o11b2o5b2obo2bob2o12b3o2bobo$b2ob2ob3o9bo6bob<br /> ob2o18b2obobo6bo9b3ob2ob2o$2bobo2b3o12b2obo2bob2o5b2o11b4o6bo2bo7bobob<br /> o5bo$2bobo2b3o12b2obo2bob2o4bo2bo10b2o8bo2b2obo3b3o2b2obob2o$b2ob2ob3o<br /> 9bo6bobob2o5b2o20bo5bo3bo8bobo$o5bobobo7bo2bo6b4o25bo2b6ob11o2bo$2obob<br /> 2o2b3o3bob2o2bo8b2o25b3o6bo13b2o$bobo8bo3bo5bo37bob3obo2b7o$bo2b11ob6o<br /> 2bo34b2obo2bo3bo2bo2bo$2o13bo6b3o7b2o7b2o20b2o$6b7o2bob3obo10bo2b5o2bo<br /> $6bo2bo2bo3bo2bob2o10b2o5b2o$17b2o11b3o9b3o$30bo2bobo3bobo2bo$31b2o4bo<br /> 4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 beehive hassler, unrelated to the other one&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> x = 61, y = 43, rule = B3/S23<br /> 29bo$28b3o$26b2o3bo$26b3o2b2o$31bobo$23b2o2b4ob3o$23b2obo4bo3bo$22bobo<br /> bob2obo3b2o$21b2o3bob2obobobo$22bo3bo4bob2o$23b3ob4o2b2o$2bo9bo3b2o6bo<br /> bo$bobo7bobobo2bo6b2o2b3o$bob3obo3bobob3o2b2o4bo3b2o$2bo3b4obobo4b2obo<br /> 5b3o13b2o3bo9bo$4bo5bobob3o2bo8bo13bo2bobobo7bobo$3b5o2bobo4bob2o18b2o<br /> 2b3obobo3bob3obo$2bo5bobob3obobo20bob2o4bobob4o3bo$o2b4obobo6bo2bo5b2o<br /> 13bo2b3obobo5bo$2obobo2bo9bobo5b2o12b2obo4bobo2b5o$bobobo2bo9bobo4bo9b<br /> o6bobob3obobo5bo$bob4obobo6bo2bo4bo9bo4bo2bo6bobob4obo$2bo5bobob3obobo<br /> 6bo9bo4bobo9bo2bobobo$3b5o2bobo4bob2o12b2o5bobo9bo2bobob2o$4bo5bobob3o<br /> 2bo13b2o5bo2bo6bobob4o2bo$2bo3b4obobo4b2obo20bobob3obobo5bo$bob3obo3bo<br /> bob3o2b2o18b2obo4bobo2b5o$bobo7bobobo2bo13bo8bo2b3obobo5bo$2bo9bo3b2o<br /> 13b3o5bob2o4bobob4o3bo$29b2o3bo4b2o2b3obobo3bob3obo$29b3o2b2o6bo2bobob<br /> o7bobo$34bobo6b2o3bo9bo$26b2o2b4ob3o$26b2obo4bo3bo$25bobobob2obo3b2o$<br /> 24b2o3bob2obobobo$25bo3bo4bob2o$26b3ob4o2b2o$27bobo$28b2o2b3o$29bo3b2o<br /> $30b3o$31bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 [[blonk-tie]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p25honeyfarmhassler2<br /> |position = left<br /> |viewerconfig = #C [[ GPS 13 ]]<br /> |caption = A p25 honey farm hassler different from the ones already known. Reduction by [[JP21]].&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 16b2o3b2o$16b2o3b2o$16b2o3b2o$16b2o3b2o$12b2o3b2ob2o3b2o$12bo2bobo3bob<br /> o2bo$b2o10bob2o5b2obo$2bo11bo9bo$bo13b4ob4o$b2o6b2o6bobobo$3bo4bo2bo$b<br /> 4o13b3o$o$2o4bo3bobo25b2o$6b4obo26bo$18b2o19bo$10b2o6bobo9b2o6b2o$10b<br /> 2o3bo4bo8bo2bo4bo$15bo3b2o15b4o$6b4obo28bo$2o4bo3bobo15bobo3bo4b2o$o<br /> 28bob4o$b4o15b2o3bo$3bo4bo2bo8bo4bo3b2o$b2o6b2o9bobo6b2o$bo19b2o$2bo<br /> 26bob4o$b2o25bobo3bo4b2o$40bo$20b3o13b4o$29bo2bo4bo$19bobobo6b2o6b2o$<br /> 17b4ob4o13bo$16bo9bo11bo$15bob2o5b2obo10b2o$14bo2bobo3bobo2bo$14b2o3b<br /> 2ob2o3b2o$18b2o3b2o$18b2o3b2o$18b2o3b2o$18b2o3b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 13 ]]<br /> |caption = p25 bookend hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 16bo14bo$16b3o10b3o$19bo8bo$16b3obo6bob3o$13bobo2bobo6bobo2bobo$13b2ob<br /> 4ob2o2b2ob4ob2o$16bo2bobo4bobo2bo$16bobo2bo4bo2bobo$17bo3b2o2b2o3bo$<br /> 15bobob2o6b2obobo$15b2obobob4obobob2o$18bobobo2bobobo$18bob2o4b2obo$<br /> 16b2o12b2o$17bobob2o2b2obobo$14b3o2bo8bo2b3o$13bo3b2o10b2o3bo$14b3o2b<br /> 3o4b3o2b3o13b2o$4b2o10bobo2bob2obo2bobo15bo3b2o$2o3bo12b2o8b2o12bo5bo<br /> 2bo$bo2bo5bo5bo2bobob2obobo2bo9bobob3obobo$bobob3obobo4b2o2b8o2b2o9bob<br /> obo3bob2o$2obo3bobobo23b2o3b2obo2bob2obo$bob2obo2bob2o3b2o17bobo2bo2b<br /> 5obobo$bobob5o2bo2bobo19bo4bo8b2o$2o8bo4bo20b3o2bob2o4bobo$bobo4b2obo<br /> 2b3o19bo2bo2b2obobobobo$bobobobob2o2bo2bo18bo2bobo3bo5bo$2bo5bo3bobo2b<br /> o5b2o10bo4b4o2b4o$3b4o2b4o4bo4bo2bob3o5bo8b2o$7b2o8bo5b3obo2bo4bo4b4o<br /> 2b4o$3b4o2b4o4bo10b2o5bo2bobo3bo5bo$2bo5bo3bobo2bo18bo2bo2b2obobobobo$<br /> bobobobob2o2bo2bo19b3o2bob2o4bobo$bobo4b2obo2b3o20bo4bo8b2o$2o8bo4bo<br /> 19bobo2bo2b5obobo$bobob5o2bo2bobo17b2o3b2obo2bob2obo$bob2obo2bob2o3b2o<br /> 23bobobo3bob2o$2obo3bobobo9b2o2b8o2b2o4bobob3obobo$bobob3obobo9bo2bobo<br /> b2obobo2bo5bo5bo2bo$bo2bo5bo12b2o8b2o12bo3b2o$2o3bo15bobo2bob2obo2bobo<br /> 10b2o$4b2o13b3o2b3o4b3o2b3o$18bo3b2o10b2o3bo$19b3o2bo8bo2b3o$22bobob2o<br /> 2b2obobo$21b2o12b2o$23bob2o4b2obo$23bobobo2bobobo$20b2obobob4obobob2o$<br /> 20bobob2o6b2obobo$22bo3b2o2b2o3bo$21bobo2bo4bo2bobo$21bo2bobo4bobo2bo$<br /> 18b2ob4ob2o2b2ob4ob2o$18bobo2bobo6bobo2bobo$21b3obo6bob3o$24bo8bo$21b<br /> 3o10b3o$21bo14bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 13 ]]<br /> |caption = p25 bun hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 41b2o$41bobo$38b2obobo$34b2obobob2ob2o$35bobo4bo2bo$34bo2bob6o$34bobo 2b2o$33b2o2b2o3bob3o$32bo3bo5bobo2bo$32bob2obo6bob2o$31b2o2bobo3b2obob o13bo$33b2o2bob2o5bo12bobo$33bobob3o2b2obob2o10bobo$34b3ob2obobobobobo 8b2o2b2o$45bobobo2b2o6bobo$36bo2bo4b2obobobobo3bob2o2bo$38bo8bobobo5bo 3bobo$45b2obo2b2o5b3obo$35b3o7b3o3bobo2b2o2bo$37bo7b3o3bobo2b2o2bo$3bo 33bo7b2obo2b2o5b3obo$2bobo28bob2o10bobobo5bo3bobo$2bobo10bo3b2o11b2o 10b2obobobobo3bob2o2bo$2o2b2o8bobobobo24bobobo2b2o6bobo$bobo6b2o2bobob o24bobobobo8b2o2b2o$o2b2obo3bobobobob2o10b2o11b2o3bo10bobo$obo3bo5bobo bo10b2obo28bobo$bob3o5b2o2bob2o7bo33bo$3bo2b2o2bobo3b3o7bo$3bo2b2o2bob o3b3o7b3o$bob3o5b2o2bob2o$obo3bo5bobobo8bo$o2b2obo3bobobobob2o4bo2bo$b obo6b2o2bobobo$2o2b2o8bobobobobob2ob3o$2bobo10b2obob2o2b3obobo$2bobo 12bo5b2obo2b2o$3bo13bobob2o3bobo2b2o$16b2obo6bob2obo$16bo2bobo5bo3bo$ 17b3obo3b2o2b2o$23b2o2bobo$19b6obo2bo$18bo2bo4bobo$18b2ob2obobob2o$20b<br /> obob2o$20bobo$21b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p27 R-pentomino hassler, co-discovered with [[Dongook Lee]]&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 53b2o$53b2o4$55bo$54bobo$53b2obo$23bob2o4b2obo20bo$23b2o2bo2bo2b2o14b<br /> 2o7b3o$21b2o3bo4bo3b2o12b2o7b3o$20bo3b2ob4ob2o3bo11b2o$21b3obobo2bobob<br /> 3o$23bobobo2bobobo11b2o14bo5b2o$26bo4bo13bo2bo13b2o4b2o$27bo2bo9b2o4b<br /> 2o13bo2bo$27bo2bo9b2o5bo14b2o$13b2o$13b2o8b2o34b2o$24bo24b3o7b2o$24bob<br /> o22b3o7b2o$25b2o27bo$15bo14bo8bo13bob2o$14bobo13bobo4bobo13bobo$13b2ob<br /> o13bo8bo14bo$15bo27b2o$9b2o7b3o22bobo$9b2o7b3o24bo$9b2o34b2o8b2o$55b2o<br /> $6b2o14bo5b2o9bo2bo$5bo2bo13b2o4b2o9bo2bo$2o4b2o13bo2bo13bo4bo$2o5bo<br /> 14b2o11bobobo2bobobo$33b3obobo2bobob3o$19b2o11bo3b2ob4ob2o3bo$9b3o7b2o<br /> 12b2o3bo4bo3b2o$9b3o7b2o14b2o2bo2bo2b2o$14bo20bob2o4b2obo$13bob2o$13bo<br /> bo$14bo4$15b2o$15b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p27 traffic light hassler, using two [[56P27]]s&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 116bobo$111b2o2bob2o2bo$111bo3bo3b3o$112b3ob2o$114bo3b2o$116bo2bo$115b<br /> 4o$119b3o$109b2o6b2o2bo$110bo2b4obobo$110bobob3obob2o$93b2o2b2o10b2obo<br /> 3b3o2bo$51b2o2b2o6b2o11bo11bo5bo3bo13bobo4b2o$7b2obo35b2o3b2o2bobo5bo<br /> 10b3o5b2o3bobo4bobobob2o7b4obobobo$8bob3o27b2o3bobo9bo6b3ob2o3bo5bo2bo<br /> bobo2bo5bobobobo6bo4bo4bo17b2o2b2o$6bobo4bo3b2o15b2o5bo3bobob9ob2o5bob<br /> 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4bo6bo3bo6b3o2bo2b2o5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o3b2o11b2o9b2o<br /> 3bo4bo9b2obo3bob4ob2obobo2bo4bobobob2obo2bobo2b4obo4bobo9bo5bo$3b2o4bo<br /> 7b2o4b2o4bo6bo3bo6b3o2bo2b2o5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o3bobo<br /> 6b2o8b5o3bob2o2b2ob3o3b4ob2o4b2o2b3o2b2ob2o3b2o3b2o2bo3b2o3bob3obobobo<br /> b2o8bo4b2o$3bo5bo7bo2bob4o11b2obo6b3o2b2o3bobo8b2o2bo4bobobobo8bo3b2ob<br /> 2o5b2ob3o2bo2bo5b3ob2o5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o6bob2o11b<br /> 4obo2bo4bo2bo3bo$2obo2b2o2bo7b2obobobob3obo3b2o3bo2b2o3b2o3b2ob2o2b3o<br /> 2b2o4b2ob4o3b3ob2o2b2obo3b5o8b2o4b2o6b3ob2ob2o5bobobob2o4bo2bo5bo4b2o<br /> 7bo5b2o2bo2b3o6bo3bo6bo4b2o4b2o4bo2bo3bo$o2bobobobo9bobo4bob4o2bobo2bo<br /> b2obobobo4bo2bobob2ob4obo3bob2o9bo4bo3b2o9b2o8bo7b3ob2ob2o5bobobob2o4b<br /> o2bo5bo4b2o7bo5b2o2bo2b3o6bo3bo6bo4b2o4b2o7bo4b2o$2b2obobob3obo5bobo8b<br /> 2o2bobobobobo3bo5bo3bob2o4bobo3b2o2bob2o3b3o2b3obob2o6b2o2b3o16b3ob2o<br /> 5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o6bob2o11b4obo2bo7bo5bo$6bobo4bo<br /> 4b2o2bo13bo2b2obobobo4b2o2b2obo8b2o5bo2b2o5b2o3b2ob2o7b2o2bo18b2o8b5o<br /> 3bob2o2b2ob3o3b4ob2o4b2o2b3o2b2ob2o3b2o3b2o2bo3b2o3bob3obobobob2o7bo2b<br /> 2o2bob2o$8bob3o4bo2b2o12bobo4bob2obobo9bobo9b4o6b4o3bo8b2o3bobobo22b2o<br /> 9b2o3bo4bo9b2obo3bob4ob2obobo2bo4bobobob2obo2bobo2b4obo4bobo9bobobobo<br /> 2bo$7b2obo6b2o15b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob3o5bo3bob2o23b3o2b<br /> 2o6b2obob3o2b3o3b2obo2b2o3bobo4b2obo3bo5bo3bobobobobo2b2o8bobo5bob3obo<br /> bob2o$40b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo18b3o6bo2b2o7b2ob2o<br /> 3b2o5b2o2bo5b2o8bob2o2b2o4bobobob2o2bo13bo2b2o4bo4bobo$46b2o3b2o2bobo<br /> 5bo10b3o5b2o3bobo4bobobob2o17bobobo5bobobo3b2o8bo3b4o6b4o9bobo9bobob2o<br /> bo4bobo12b2o2bo4b3obo$51b2o2b2o6b2o11bo11bo5bo3bo18b3o3b3o4b2obo3bo5b<br /> 3ob2obo4b6o3bobobo5b2ob9obobo3bo5b2o15b2o6bob2o$93b2o2b2o17bo4bo4bo6bo<br /> bobobo5bo2bobobo2bo5bo3b2ob3o6bo9bobo3b2o$116bobobob4o7b2obobobo4bobo<br /> 3b2o5b3o10bo5bobo2b2o3b2o$114b2o4bobo13bo3bo5bo11bo11b2o6b2o2b2o$113bo<br /> 2b3o3bob2o10b2o2b2o$113b2obob3obobo$114bobob4o2bo$113bo2b2o6b2o$113b3o<br /> $116b4o$115bo2bo$115b2o3bo$117b2ob3o$113b3o3bo3bo$113bo2b2obo2b2o$116b<br /> obo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p28 R-pentomino shuttle<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 28bobo16bobo$28b2obo14bob2o$31bo2b2o6b2o2bo$28b2obobobo6bobobob2o$28bo<br /> 2bo2bo8bo2bo2bo$30bo16bo$32bo12bo$30b3o5b2o5b3o$37bo2bo$34b2obo2bob2o<br /> 6b2o5bo7bo$34b2obo2bob2o6bo5bobo5bobo$37bo2bo7bobo5bobo5bobo$38b2o6b3o<br /> b3o2b2ob2o2b3ob3o$45bo23bo$46b5o13b5o$38bo10bo15bo$37bobo6b3o2b3o2b3o<br /> 2b3o2b3o$4bo7bo7bo16bo2bo5b3o2b3o7b3o2b3o$3bobo5bobo5bobo16bobo5b3o2b<br /> 3o7b3o2b3o$3bobo5bobo5bobo16b3o5b3o2b3o2b3o2b3o2b3o$b3ob3o2b2ob2o2b3ob<br /> 3o25bo15bo$o23bo21b5o13b5o$b5o13b5o21bo23bo$4bo15bo25b3ob3o2b2ob2o2b3o<br /> b3o$b3o2b3o2b3o2b3o2b3o5b3o16bobo5bobo5bobo$b3o2b3o7b3o2b3o5bobo16bobo<br /> 5bobo5bobo$b3o2b3o7b3o2b3o5bo2bo16bo7bo7bo$b3o2b3o2b3o2b3o2b3o6bobo$4b<br /> o15bo10bo$b5o13b5o$o23bo$b3ob3o2b2ob2o2b3ob3o6b2o$3bobo5bobo5bobo7bo2b<br /> o$3bobo5bobo5bo6b2obo2bob2o$4bo7bo5b2o6b2obo2bob2o$29bo2bo$22b3o5b2o5b<br /> 3o$24bo12bo$22bo16bo$20bo2bo2bo8bo2bo2bo$20b2obobobo6bobobob2o$23bo2b<br /> 2o6b2o2bo$20b2obo14bob2o$20bobo16bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p28 [[wing]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 11bo$11b3o$14bo$13bo$12bo4b4o$12bobo$13b2ob3o$16b2o3$15b3o$4bo11bo$2b<br /> 2obo10bo$bo$obo2bo$o2bo4b2o4b2o$b2o4b2obo3bobo$16bo$14b3o4$22b3o$22bo$<br /> 22bobo3bob2o4b2o$23b2o4b2o4bo2bo$33bo2bobo$37bo$33bob2o$20b3o11bo$17b<br /> 2o3bo$17b5o2$17b5o$17b2o3bo$20b3o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p28 B-heptomino hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 17b3o$27b2o$16bo2b2o2b2obo2bo$14bobo6b2ob2obo$15bo3bo7bobob2o$15bobo5b<br /> 4o2bobo$17bo5bo3bobo2bo$19bo5bo4b3o$20bo4b2ob2o$20bo5bo3bo$5bob2o4b2o<br /> 7bo4b3o$5b2obo5bo8b3obo$8bobo3bobo9bo5bo$3b5obobo3b2o2b2o9b3o5bo$2bo4b<br /> o3bo7b2o3b2o3bo8bobo$2bob3ob2ob2o16b2o5bo2bo$3b2obo2b2o2bo9bo17bo$6bob<br /> 7o7bobo11b2o4b2o$3b2obobo2b3o7bo3bo2b2o4bo4bo$3b2ob2o3b2o8bo3bo2b2o4bo<br /> 4bobo$21b2ob2o7bo$10bo20bo$2bobo4bo4b2o15bo4b2ob2o$4bo4bo4b2o13b2o4bob<br /> ob2o$2o4b2o20b3o6bo$2bo27bo3b2obob2o$4bo2bo5b2o16b2ob3o2bobo$3bobo8bo<br /> 8b2o7bobo6bo$5bo5b3o3b3o3b2o2b2o3bobob5o$11bo8bo6bobo3bobo$16bo12bo5bo<br /> b2o$14b3o3b2o7b2o4b2obo$13bo9bo$14b3o6bo$11b3o2bob2o4bo$11bo2bo5bo5bo$<br /> 12bobob5o5bobo$11b2obo9bo3bo$14bob2ob2o6bobo$14bo2bob2o2b2o2bo$15b2o$<br /> 24b3o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p28 gourmet, co-discovered with Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = p29honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p29 honey farm hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 17bo4bo$15b2ob4ob2o$17bo4bo5$2o17bo10b2o$o2b2o14bo7b2o2bo$b2obo13bobo<br /> 6bob2o$5bo6bo6bo6bo$5bo6bo6bo6bo$b2obo6bobo13bob2o$o2b2o7bo14b2o2bo$2o<br /> 10bo17b2o5$9bo4bo$7b2ob4ob2o$9bo4bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 traffic light hassler&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p30honeyfarmhassler3<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 honey whirlpool&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 26b2o4b2o$26bobo2bobo$28bo2bo$27bo4bo$27bo4bo$17bo9bo4bo6bo4b2o$17b3o<br /> 9b2o7bobo4bo$5bo5bo8bo16bo2bo2bo$4bobo3bobo6b2o16bob2obob4o$3bo2bo3bob<br /> o23b2obo2bobo3bo$3bobob2obob2o22bo2bob2ob2o2bo$4b2obob2o3bo22b3o2bo3bo<br /> b2o$12b2o7b3o3b3o7bo3bo4bo$4b2o2b3o3bo6bobo3bobo6bo3b3o2b2o$4bo4bo3bo<br /> 7b3o3b3o7b2o$b2obo3bo2b3o22bo3b2obob2o$2bo2b2ob2obo2bo22b2obob2obobo$<br /> 2bo3bobo2bob2o23bobo3bo2bo$3b4obob2obo16b2o6bobo3bobo$7bo2bo2bo16bo8bo<br /> 5bo$5bo4bobo7b2o9b3o$5b2o4bo6bo4bo9bo$18bo4bo$18bo4bo$19bo2bo$17bobo2b<br /> obo$17b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 pre-pulsar hassler, co-discovered with JP21&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 13bo2bob2obo2bo$13b4ob2ob4o$13bo2bob2obo2bo$30b3o2$29bo3bo$29bo3bo2$b<br /> 3o26b3o2$o3bo15b3o$o3bo8b2o5bobo7b3o$11bo2bo4bo2bo$b3o7bobo5b2o8bo3bo$<br /> 11b3o15bo3bo2$b3o26b3o2$o3bo$o3bo2$b3o$9bo2bob2obo2bo$9b4ob2ob4o$9bo2b<br /> ob2obo2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 century hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 3b2o12bobo2bobo$2bobo8b2obo2bo2bo2bob2o$b3o13bobo2bobo$b2o$2bobo$3bobo<br /> 2b2o$4bo2bobo7bo6bo$5b4o6bo2bo4bo2bo$6b2o7bo2bo4bo2bo$10b3o2bo2bo4bo2b<br /> o$10bobo4bo6bo$10b3o$17bo6bo$5b2o8bo2bo4bo2bo$5b2o8bo2bo4bo2bo$15bo2bo<br /> 4bo2bo$6bo10bo6bo$5bobo$2o2bo2bo$2obo$4b2o11bobo2bobo$13b2obo2bo2bo2bo<br /> b2o$17bobo2bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = 2merzenichsp31hassling2rpentominoes‎<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = Two [[Merzenich's p31]] hassling two [[R-pentomino]]es&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 4b2o8b2o$4bo2bo5bo2bo$5b3o$8bo4bo2bo17bo$3b6obo2b2o17b3o$3bo4b4o19bo$<br /> 2obo2bo3bobobo16b2o$2ob5o7bo20b2o$11bo4bo19bo$5b3o5bob2o17bobo$4bo2bo<br /> 5bo2bo6b2o3b2o4b2o$4b2o8b2o6bobo3bobo$22bo7bo$22bobo3bobo6b2o8b2o$17b<br /> 2o4b2o3b2o6bo2bo5bo2bo$16bobo17b2obo5b3o$16bo19bo4bo$15b2o20bo7b5ob2o$<br /> 20b2o16bobobo3bo2bob2o$21bo19b4o4bo$18b3o17b2o2bob6o$18bo17bo2bo4bo$<br /> 45b3o$36bo2bo5bo2bo$37b2o8b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 pi-heptomino hassler, co-discovered with [[Matthias Merzenich]]&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 38b2o4bob2o4b2o$37bobo4b2obo4bobo$37bo16bo$34b2ob2o14b2ob2o$34b2obobo<br /> 12bobob2o$37bob14obo$14bob2o19bobob10obobo$14b2obo20bo5b4o5bo$3o14bob<br /> 2o8bo$3o7b2o5bo2bo3b2o2bobo$3o7bobob2ob2o5bo3bobo$3b3o6bobobo2b4obo2b<br /> 2o2b2o$3b3o4bobo2bo2bo3bobobo2bobo$3b3o3bo2bo2b2obobo3bob2obobo$9bob2o<br /> 4bo4bobo6b2o$10bo2bo6bobobob2ob2o2bo9b2o$11b9o5b4o3b3o7bobo$32b3o7bo$<br /> 11b9o5b4o3b3o7bobo$10bo2bo6bobobob2ob2o2bo9b2o$9bob2o4bo4bobo6b2o39b2o<br /> bo$3b3o3bo2bo2b2obobo3bob2obobo40bob2o$3b3o4bobo2bo2bo3bobobo2bobo28bo<br /> 8b2obo14b3o$3b3o6bobobo2b4obo2b2o2b2o26bobo2b2o3bo2bo5b2o7b3o$3o7bobob<br /> 2ob2o5bo3bobo28bobo3bo5b2ob2obobo7b3o$3o7b2o5bo2bo3b2o2bobo26b2o2b2o2b<br /> ob4o2bobobo6b3o$3o14bob2o8bo28bobo2bobobo3bo2bo2bobo4b3o$14b2obo40bobo<br /> b2obo3bobob2o2bo2bo3b3o$14bob2o39b2o6bobo4bo4b2obo$45b2o9bo2b2ob2obobo<br /> bo6bo2bo$45bobo7b3o3b4o5b9o$47bo7b3o$45bobo7b3o3b4o5b9o$45b2o9bo2b2ob<br /> 2obobobo6bo2bo$57b2o6bobo4bo4b2obo$58bobob2obo3bobob2o2bo2bo3b3o$58bob<br /> o2bobobo3bo2bo2bobo4b3o$57b2o2b2o2bob4o2bobobo6b3o$59bobo3bo5b2ob2obob<br /> o7b3o$59bobo2b2o3bo2bo5b2o7b3o$60bo8b2obo14b3o$36bo5b4o5bo20bob2o$35bo<br /> bob10obobo19b2obo$35bob14obo$32b2obobo12bobob2o$32b2ob2o14b2ob2o$35bo<br /> 16bo$35bobo4bob2o4bobo$36b2o4b2obo4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 pi-heptomino hassler, co-discovered with [[MathAndCode]]&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = p32honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = [[p32 honey farm hassler]]; monomer form found by [[praosylen]]&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = p32honeyfarmhassler2<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 glider gun #2, reduced by [[Dongook Lee]]&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 24bo10bo$23bobo2bo2bo2bobo$24b2o2b4o2b2o2$24b2ob2o2b2ob2o$25bob2o2b2ob<br /> o$24bo2bob2obo2bo$24bobo2b2o2bobo$3b2o3b2o13b2obo6bob2o$3b2o3b2o16bob<br /> 4obo$13b2o8b2obo6bob2o$13b2o3b2o4bobobo2bobobo$4b2o7bobo2b2o4bobobo2bo<br /> bobo$2b2obo3b2o3b2o9bo3b2o3bo$2b3o4b2o2$18b2o$5b2o6b2o3b2o$2o3b2o6b2o$<br /> 2o30b2o5b2o3b2o$30bo2bo5b2o3b2o$9b2o4b3o12b3o16b2o$4b2o3b2o3bob2o13bo<br /> 17b2o3b2o$2o2bobo7b2o24b2o7bobo2b2o$2o3b2o17bo13b2obo3b2o3b2o$5b2o16b<br /> 3o12b3o4b2o$10b2o3b2o5bo2bo$10b2o3b2o5b2o30b2o$41b2o6b2o3b2o$36b2o3b2o<br /> 6b2o$36b2o2$45b2o4b3o$21bo3b2o3bo9b2o3b2o3bob2o$20bobobo2bobobo4b2o2bo<br /> bo7b2o$20bobobo2bobobo4b2o3b2o$19b2obo6bob2o8b2o$22bob4obo16b2o3b2o$<br /> 19b2obo6bob2o13b2o3b2o$20bobo2b2o2bobo$20bo2bob2obo2bo$21bob2o2b2obo$<br /> 20b2ob2o2b2ob2o2$20b2o2b4o2b2o$19bobo2bo2bo2bobo$20bo10bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 century hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 6b2o4b2o8bo8bo$5bobo4b2o8bo5bobobo$5bo14bobo2bo4bobo$2b2obo4b6o2b3ob2o<br /> 3b2obob2o$2b2obo2bob8obo2b2ob2o2b2obo$5bobo2b8obobo3bo4bobo$5bobo12b2o<br /> bobo5bo$6bo15bo3bo$22bob2o$3bo19bobobo$2bobo21b2o$bo3bo12b2o$2bo3bo10b<br /> 2o$3bo3bo10bobo$4bo3bo10b2o6bo$5bobo18bobo$6bo6b2o10bo3bo$13bobo10bo3b<br /> o$15b2o10bo3bo$14b2o12bo3bo$6b2o21bobo$6bobobo19bo$8b2obo$7bo3bo15bo$<br /> 2bo5bobob2o12bobo$bobo4bo3bobob8o2bobo$bob2o2b2ob2o2bob8obo2bob2o$2obo<br /> b2o3b2ob3o2b6o4bob2o$bobo4bo2bobo14bo$bobobo5bo8b2o4bobo$2bo8bo8b2o4b<br /> 2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 century hassler, reduced by Matthias Merzenich<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 63b2obo$41b2o20bob2o12bo$40bo2bo7bo8b2obo14bobo$29b4o7bobobo5bobo2b2o<br /> 3bo2bo5b2o6bo3bo$17b2o9bo7b2o3bob3o4bobo3bo5b2ob2obobo5bo3bo$6bo2bo2bo<br /> 3bo2bob2o5bo3b2o2b2o5b3o2b2o2b2o2bob4o2bobobo6bo3bo$6b7o2bob3obo7bo2b<br /> 2o15bobo2bobobo3bo3bobo5bo3bo$2o13bo6b3o24bo2b3obo2bob2ob2ob2o2bo3bobo<br /> $bo2b11ob6o2bo23b2obo4bo4bob2o2b3obo4bo$bobo4bo5bobobo4bo22bo3b2o4bo2b<br /> obo3bo4bo$2obobo4b2o3bo3b2o28bob2o2bo5b9o$o5bo2bo2bo4b2o8b5obo11bo3bo$<br /> b2ob2o6bo5b2o3bob2o14bo7bob2o2bo5b9o$2bobo7bo8bo2bo9bo5bobo3bo3b2o4bo<br /> 2bobo3bo4bo$2bobo7bo8bo2bo9bo5bobo5b2obo4bo4bob2o2b3obo4bo$b2ob2o6bo5b<br /> 2o3bob2o14bo7bo2b3obo2bob2ob2ob2o2bo3bobo$o5bo2bo2bo4b2o8b5obo15bobo2b<br /> obobo3bo3bobo5bo3bo$2obobo4b2o3bo3b2o27b2o2b2o2bob4o2bobobo6bo3bo$bobo<br /> 4bo5bobobo4bo26bobo3bo5b2ob2obobo5bo3bo$bo2b11ob6o2bo25bobo2b2o3bo2bo<br /> 5b2o6bo3bo$2o13bo6b3o14bo4bo6bo8b2obo14bobo$6b7o2bob3obo16b8o17bob2o<br /> 12bo$6bo2bo2bo3bo2bob2o17bo2bo19b2obo$17b2o21bo2bo$40bo2bo$41b2o$41b2o<br /> $35b2o10b2o$35bo5b2o5bo$33bobo5b2o5bobo$33b2ob3o6b3ob2o$36bobo6bobo$<br /> 33b2obobo6bobob2o$32bobob3o6b3obobo$32bobobo3bo2bo3bobobo$33bo2bo10bo<br /> 2bo$34b2o2bo6bo2b2o$36b3o6b3o$36bo10bo$33b2obo10bob2o$34bobo2bob2obo2b<br /> obo$34bobobob4obobobo$33b2obob8obob2o$34bobo10bobo$34bobo10bobo$33b2ob<br /> 2o8b2ob2o$36bo2b2o2b2o2bo$36bobob4obobo$37b2o6b2o$40b4o$35b4obo2bob4o$<br /> 35bo2b2o4b2o2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 beehive hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 31bo2$29b3obo$28bob2o$28b2obo$26bob3o2$28bo6b2o$34bo2bo$33bo2bo$33bo6b<br /> o$5b2o25bo2bo3bobo$4bo2bo14b2o9b3o3b2o$5bo2bo14bobo$bo6bo14bobo7b3o3b<br /> 2o$obo3bo2bo6b2o6b2o6bo2bo3bobo$b2o3b3o7bobo14bo6bo$16bobo14bo2bo$b2o<br /> 3b3o9b2o14bo2bo$obo3bo2bo25b2o$bo6bo$5bo2bo$4bo2bo$5b2o6bo2$11b3obo$<br /> 10bob2o$10b2obo$8bob3o2$10bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 [[procrestinator]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 15bo$14bob3o$19bo2b2o$14b2o3bo2b2o$13bo4bo$14b4o2$14b4o$13bo4bo$2ob2o<br /> 9b2o3bo2b2o$bobo3bo11bo2b2o$o4bo2bo5bob3o$b7o7bo2$3b2o$2bo6b2o$2b2o4bo<br /> 2bo28b2ob2o$37bo3bobo$8bo2bo24bo2bo4bo$8bo2bo6b2o17b7o$8bo2bo5bo2bo$8b<br /> o2bo4b2ob2o19b2o$18bo15b2o6bo$2b2o4bo2bo21bo2bo4b2o$2bo6b2o15bo$3b2o<br /> 19b2ob2o4bo2bo$24bo2bo5bo2bo$b7o17b2o6bo2bo$o4bo2bo24bo2bo$bobo3bo$2ob<br /> 2o28bo2bo4b2o$34b2o6bo$40b2o2$29bo7b7o$26b3obo5bo2bo4bo$21b2o2bo11bo3b<br /> obo$21b2o2bo3b2o9b2ob2o$26bo4bo$27b4o2$27b4o$26bo4bo$21b2o2bo3b2o$21b<br /> 2o2bo$26b3obo$29bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = p35 R-pentomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p36honeyfarmhassler3<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = p36 honey farm hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p36honeyfarmhassler4<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = Another p36 honey farm hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p36honeyfarmhassler5<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = Yet another p36 honey farm hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 20b2o4b2o$20b2o4bobo$13b2o13bo$12bo2bobo5b2o2b2ob2o$12b3o13bob2o$15b2o<br /> 6b4obo$6bo7bo2b6o3bobo$6b2o6b2o11bo$7b2o$9bo$5b4obo$4bo4bobo$2o2bob2ob<br /> ob2o$b2obob2obo2b2o6b2o$2bobo4bo9bo2bo$3bob4o10b3o$4bo15b2o18bo$5b2o<br /> 33b2o$6b2o33b2o$7bo18b2o15bo$26b3o10b4obo$25bo2bo9bo4bobo$26b2o6b2o2bo<br /> b2obob2o$35b2obob2obo2b2o$36bobo4bo$37bob4o$38bo$39b2o$20bo11b2o6b2o$<br /> 19bobo3b6o2bo7bo$19bob4o6b2o$16b2obo13b3o$16b2ob2o2b2o5bobo2bo$19bo13b<br /> 2o$19bobo4b2o$20b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = p36 R-pentomino hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = prepulsarshuttle36reduced<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = p36 pre-pulsar shuttle, reduced by EvinZL&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 21b2o8b2o$23bo7b2o$20bo$21bob2o$23b2o3$68bo6bo$67bobobob3o$24b2o40bo2b<br /> ob2o$24b2obo38bobobo3b4o$28bo38b2obob2o3bo$16b2o7bo44b2o2b2o$16b2o8b2o<br /> 45bo$3b2o59b8ob3o4b2o$3b2o59bobo5bobo5b2o$66bo6bo$21bo45bo$2b2o59b2o4b<br /> 2o10bo2bo$2o14b2o3b3o5b2o33bo16bo2bo5b2o$o5bo6b2o6bobo5b2o30b3o7b2o7bo<br /> 5b3o2bo$6b2o4b2obo5b3o37bo8bo9b2ob10o$o2bob3o4b3obo2bo50bo10bo10bo$4bo<br /> b2o4b2o14b2o45bo5b10ob2o$5b2o6bo5bo6b2o14b2o29bob2o5bo2b3o5bo$2b2o14b<br /> 2o6bo5bo6b2o30b2o9b2o5bo2bo$16b2o14b2o4b2obo47bo2bo$26bo2bob3o4b3obo2b<br /> o$22b3o5bob2o4b2o$15b2o5bobo6b2o6bo5bo46b2o$15b2o5b3o3b2o14b2o27b2o17b<br /> 2o$42b2o29bobo3b2o$24bo47b2ob2o2b2o$75bo$41b2o30b2o$41b2o30b2o$18b2o8b<br /> 2o44bo$20bo7b2o43bo$17bo53bo$18bob2o48bo$20b2o48b2o$70b2o$69bo$64b2o2b<br /> 2ob2o$64b2o3bobo$21b2o47b2o$21b2obo$25bo$13b2o7bo$13b2o8b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = p40 traffic light hassler, co-discovered with praosylen.&lt;br/&gt; Monomer by MathAndCode.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 42b2o4b2o$41bobo4bobo$41bo8bo$38b2obo8bob2o$39bobo2bo2bo2bobo$38bo2bob<br /> ob2obobo2bo$38bobo2bob2obo2bobo$36b3ob2obo4bob2ob3o$35bo7bo4bo7bo$35bo<br /> 2b5o6b5o2bo$34b2obo2bo2b2o2b2o2bo2bob2o$35bob2o2b3o4b3o2b2obo$35bo5bo<br /> 8bo5bo$36b3o3b2o4b2o3b3o$17b2o19bo4b6o4bo13b2o$6bo2bo2bo3bo2bob2o40b2o<br /> bo2bo3bo2bo2bo$6b7o2bob3obo42bob3obo2b7o$2o13bo6b3o36b3o6bo13b2o$bo2b<br /> 11ob6o2bo36bo2b6ob11o2bo$bobo10bo7bo40bo7bo10bobo$2o2b4ob3o4b3o2b2o8bo<br /> 22bo8b2o2b3o4b3ob4o2b2o$o2bo7bo5b4o6b2o3bo20bo3b2o6b4o5bo7bo2bo$b2ob2o<br /> 4bo11bo5bo3bo11b3o6bo3bo5bo11bo4b2ob2o$2bobo5bo11b2ob2obo3bo6b3o2bobo<br /> 6bo3bob2ob2o11bo5bobo$2bobo5bo11b2ob2obo3bo6bobo2b3o6bo3bob2ob2o11bo5b<br /> obo$b2ob2o4bo11bo5bo3bo6b3o11bo3bo5bo11bo4b2ob2o$o2bo7bo5b4o6b2o3bo20b<br /> o3b2o6b4o5bo7bo2bo$2o2b4ob3o4b3o2b2o8bo22bo8b2o2b3o4b3ob4o2b2o$bobo10b<br /> o7bo40bo7bo10bobo$bo2b11ob6o2bo36bo2b6ob11o2bo$2o13bo6b3o36b3o6bo13b2o<br /> $6b7o2bob3obo42bob3obo2b7o$6bo2bo2bo3bo2bob2o40b2obo2bo3bo2bo2bo$17b2o<br /> 13bo4b6o4bo19b2o$30b3o3b2o4b2o3b3o$29bo5bo8bo5bo$29bob2o2b3o4b3o2b2obo<br /> $28b2obo2bo2b2o2b2o2bo2bob2o$29bo2b5o6b5o2bo$29bo7bo4bo7bo$30b3ob2obo<br /> 4bob2ob3o$32bobo2bob2obo2bobo$32bo2bobob2obobo2bo$33bobo2bo2bo2bobo$<br /> 32b2obo8bob2o$35bo8bo$35bobo4bobo$36b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = p40 traffic light hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p40honeyfarmhassler2<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = p40 honey farm hassler #1<br /> }}<br /> |{{EmbedViewer<br /> |pname = p40honeyfarmhassler3<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = p40 honey farm hassler #2<br /> }}<br /> |{{EmbedViewer<br /> |pname = p42rpentominohassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 21 ]]<br /> |caption = p42 R-pentomino hassler, co-discovered with EvinZL&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 13bo2bo2bo24bo2bo2bo$13b7o2bo18bo2b7o$20b3o18b3o$15b4o26b4o$14bobo2b2o<br /> 22b2o2bobo$14bo6bo20bo6bo$13b2ob5obo18bob5ob2o$14bo5bobo18bobo5bo$14bo<br /> bo2bo2b2o16b2o2bo2bobo$12bobo2bobobo20bobobo2bobo$12b2ob2o2bobo20bobo<br /> 2b2ob2o$15bo3bob2o18b2obo3bo$15bob2obo22bob2obo$12b2obo4bo22bo4bob2o$<br /> 12bobo3bob2o20b2obo3bobo$15b4o2bo6b8o6bo2b4o$19b2o7bob4obo7b2o$15b4o2b<br /> o6b8o6bo2b4o$15bo2bob2o20b2obo2bo$b2o4b2ob2o8bo22bo$2bo4bob2obo5bobo<br /> 21bo2bo$2bob2obo4bo5b2o22bob2o$2o2bobob4ob2o26b2obo3b2o$bobo4bo2bobobo<br /> 26bobobo2bo$o2b4o2bo2b2obo15b3o8bobob2o$b2o2bo4bo2bob2o13bo3bo6b2obo8b<br /> 2o$3b2o5b4o2bo7b3o2bo5bo5bo2b4o5bo$3bo6bo3b3o6bo3bo2bo3bo6b3o3bo6bo$4b<br /> o5b4o2bo5bo5bo2b3o7bo2b4o5b2o$3b2o8bob2o6bo3bo13b2obo2bo4bo2b2o$10b2ob<br /> obo8b3o15bob2o2bo2b4o2bo$8bo2bobobo26bobobo2bo4bobo$8b2o3bob2o26b2ob4o<br /> bobo2b2o$12b2obo22b2o5bo4bob2obo$12bo2bo21bobo5bob2obo4bo$14bo22bo8b2o<br /> b2o4b2o$9bo2bob2o20b2obo2bo$9b4o2bo6b8o6bo2b4o$13b2o7bob4obo7b2o$9b4o<br /> 2bo6b8o6bo2b4o$6bobo3bob2o20b2obo3bobo$6b2obo4bo22bo4bob2o$9bob2obo22b<br /> ob2obo$9bo3bob2o18b2obo3bo$6b2ob2o2bobo20bobo2b2ob2o$6bobo2bobobo20bob<br /> obo2bobo$8bobo2bo2b2o16b2o2bo2bobo$8bo5bobo18bobo5bo$7b2ob5obo18bob5ob<br /> 2o$8bo6bo20bo6bo$8bobo2b2o22b2o2bobo$9b4o26b4o$14b3o18b3o$7b7o2bo18bo<br /> 2b7o$7bo2bo2bo24bo2bo2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 21 ]]<br /> |caption = p42 honey farm hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 15bobo2b2o20b2o$15b2obo2bo3b2o15bo2bo$13b2o3b3o3bobo9b2ob2obob2o$12bo<br /> 2bobo5bobo11bobo2bo2bob2o$12b4o2bo4bob2o10bobobobobobobo$17b2o2bo3b2o<br /> 8bobobobobobobobo$12b4o17b3obo9bob2o$11bo6b4o10bo4bob3ob3obo3bo$12bobo<br /> 4b2ob2obo7b2obo11bob2o$11b2ob3o6bobo8bobob2o5b2obobo$11bo7bo5b2o6bo2bo<br /> b2o5b2obo2bo$12b2ob7o11b2o2b3o5b3o2b2o$13bobo2bob2o$13bo2bo4bo15bo9bo<br /> 14b2o$14b2o3b2o16b2o7b2o14b2o$10b2o7b2o4b3o10b2o5b2o$10b2o26b9o13b6o<br /> 10b2o$23bo5bo29bo3bo2bo9bo$8b4o11bo5bo19b2o9b2o3b2o3bo3bobo$8bo3bo10bo<br /> 5bo10bo3bo3bobo10bo7bobobobob2o$5b2obobobo29bo5b2o11bobo5bobobo3bo$5bo<br /> 2bo16b3o33bobo3b2obo2b3obo$7bo2b6o44bo5bo3bobo3bo$6b2obob3o15b2o29bo4b<br /> ob3obobo$2bobob2o3b3o2bo12b2o22bo6bo2bo2bo2bobobobo$2ob2o2bobobo4bo8bo<br /> 4bo6bo14bobo6bo2bo3b2obo3bo$2obo3bo6bo2bo6bobo9b3obo10bo3bo5b4ob4obob<br /> 2ob2o$b2ob2obob4ob4o5bo3bo10bob3o9bobo6bo2bo6bo3bob2o$3bo3bob2o3bo2bo<br /> 6bobo14bo6bo4bo8bo4bobobo2b2ob2o$3bobobobo2bo2bo2bo6bo22b2o12bo2b3o3b<br /> 2obobo$5bobob3obo4bo29b2o15b3obob2o$2bo3bobo3bo5bo44b6o2bo$bob3o2bob2o<br /> 3bobo33b3o16bo2bo$bo3bobobo5bobo11b2o5bo29bobobob2o$2obobobobo7bo10bob<br /> o3bo3bo10bo5bo10bo3bo$2bobo3bo3b2o3b2o9b2o19bo5bo11b4o$2bo9bo2bo3bo29b<br /> o5bo$b2o10b6o13b9o26b2o$32b2o5b2o10b3o4b2o7b2o$15b2o14b2o7b2o16b2o3b2o<br /> $15b2o14bo9bo15bo4bo2bo$57b2obo2bobo$27b2o2b3o5b3o2b2o11b7ob2o$27bo2bo<br /> b2o5b2obo2bo6b2o5bo7bo$28bobob2o5b2obobo8bobo6b3ob2o$27b2obo11bob2o7bo<br /> b2ob2o4bobo$26bo4bob3ob3obo3bo11b4o6bo$27b3obo9bob2o18b4o$29bobobobobo<br /> bobobo8b2o3bo2b2o$31bobobobobobobo8b2obo4bo2b4o$31bobo2bo2bob2o10bobo<br /> 5bobo2bo$30b2ob2obob2o12bobo3b3o3b2o$36bo2bo12b2o3bo2bob2o$36b2o19b2o<br /> 2bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 22 ]]<br /> |caption = p44 R-pentomino hassler, reduced by Dongook Lee&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 9b6o$8bo6bo$7bo8bo9bo$8bo6bo8b3o$9b6o8bo$23b2o6b2o$31bo$29bobo$29b2o2$<br /> 2o$bo$bobo16b3o$2b2o6bobo7bobo$10bobo7bobo6b2o$10b3o16bobo$31bo$31b2o<br /> 2$2b2o$bobo$bo$2o6b2o$9bo8b6o$6b3o8bo6bo$6bo9bo8bo$17bo6bo$18b6o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 23 ]]<br /> |caption = p45 pi-heptomino hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 17bo4bo$15b2ob4ob2o$17bo4bo4$57b4o$56b6o$2o3bo2bo3b2o4b2o35b8o$5o4b5o<br /> 3bobo34b2o6b2o$2o3bo2bo3b2o3bo37b8o$17bobo36b6o$18b2o12bo24b4o$31bobo<br /> 32b2o6b2o$31bobo31bo2bo4bo2bo$6b2o22b2ob2o18b2o10bo2bo4bo2bo$6bobob2o<br /> 22bo18bobo9bo2bo4bo2bo$8bob2o18b2obo20bo11b2o6b2o$7bo22b2obobo$7b2ob2o<br /> 22b2o$8bobo$8bobo$9bo12b2o33b2o$22bobo32bobo$24bo3b2o3bo2bo3b2o17bo3b<br /> 2o3bo2bo3b2o$22bobo3b5o4b5o15bobo3b5o4b5o$22b2o4b2o3bo2bo3b2o15b2o4b2o<br /> 3bo2bo3b2o6$19bo4bo29bo4bo$17b2ob4ob2o25b2ob4ob2o$19bo4bo29bo4bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 23 ]]<br /> |caption = p45 pi-heptomino hassler, co-discovered with praosylen.&lt;br/&gt; Monomer by JP21.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 6bo62bo68bo$5bobo60bobo66bobo$5bobo60bobo66bobo$4b2ob2o44b2o12b2ob2o<br /> 49b2o13b2ob2o$53b2o66b2o2$53b2o66b2o$53b2o66b2o$43bo$42bobo8b2o66b2o$<br /> 42bobo8b2o66b2o$41b2ob2o$53b2o66b2o$4b2ob2o44b2o12b2ob2o49b2o13b2ob2o$<br /> 4b2ob2o58b2ob2o39bo24b2ob2o$4b2ob2o44b2o12b2ob2o38bobo8b2o13b2ob2o$2bo<br /> b2ob2obo10bo7b2o22b2o10bob2ob2obo36bobo8b2o11bob2ob2obo$2b3o3b3o10b3o<br /> 5b2o34b3o3b3o35b2ob2o20b3o3b3o39bo$3bo5bo14bo28b2o11bo5bo48b2o12bo5bo<br /> 39bobo$23b2o28b2o66b2o58bobo$39bo7bo132b2ob2o$25b3o9bob2o5b2obo3b2o66b<br /> 2o$24bo3bo8bo3b2ob2o3bo3b2o34bo8b2o21b2o$17b2o4bo5bo8bo3bobo3bo40b3o6b<br /> 2o$17b2o4bo5bo9b3o3b3o5b2o37bo28b2o$23bo5bo23b2o36b2o28b2o37bo8b2o$24b<br /> o3bo78bo7bo44b3o6b2o$25b3o25b2o38b3o9bob2o5b2obo3b2o40bo$53b2o37bo3bo<br /> 8bo3b2ob2o3bo3b2o39b2o$91bo5bo8bo3bobo3bo61bo7bo$53b2o36bo5bo9b3o3b3o<br /> 5b2o41b3o9bob2o5b2obo$53b2o36bo5bo23b2o40bo3bo8bo3b2ob2o3bo$92bo3bo65b<br /> o5bo8bo3bobo3bo$53b2o38b3o25b2o39bo5bo9b3o3b3o$22b3o28b2o30b3o33b2o31b<br /> 3o5bo5bo$21bo3bo58bo3bo64bo3bo5bo3bo$20bo5bo26b2o28bo5bo31b2o29bo5bo5b<br /> 3o$2b3o3b3o9bo5bo4b2o20b2o10b3o3b3o9bo5bo31b2o11b3o3b3o9bo5bo$bo3bobo<br /> 3bo8bo5bo4b2o31bo3bobo3bo8bo5bo43bo3bobo3bo8bo5bo$o3b2ob2o3bo8bo3bo27b<br /> 2o8bo3b2ob2o3bo8bo3bo32b2o9bo3b2ob2o3bo8bo3bo$ob2o5b2obo9b3o28b2o8bob<br /> 2o5b2obo9b3o33b2o9bob2o5b2obo9b3o$2bo7bo54bo7bo60bo7bo$25b2o26b2o33b2o<br /> 31b2o34b2o$25bo14bo5bo6b2o33bo32b2o34bo$19b2o5b3o10b3o3b3o33b2o6b3o58b<br /> 2o6b3o$19b2o7bo10bob2ob2obo5b2o26b2o8bo29b2o27b2o8bo$41b2ob2o7b2o66b2o<br /> $41b2ob2o$41b2ob2o7b2o66b2o$53b2o53bo5bo6b2o$4b2ob2o58b2ob2o35b3o3b3o<br /> 20b2ob2o$5bobo45b2o13bobo36bob2ob2obo5b2o14bobo$5bobo45b2o13bobo38b2ob<br /> 2o7b2o14bobo39bo5bo$6bo62bo39b2ob2o24bo39b3o3b3o$53b2o54b2ob2o7b2o55bo<br /> b2ob2obo$53b2o66b2o57b2ob2o$180b2ob2o$53b2o66b2o57b2ob2o$41b2ob2o7b2o<br /> 66b2o$42bobo$42bobo8b2o66b2o$43bo9b2o66b2o3$109b2ob2o$110bobo$110bobo$<br /> 111bo68b2ob2o$181bobo$181bobo$182bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 23 ]]<br /> |caption = Three different p46 honey farm hasslers,&lt;br/&gt; the first of which was co-discovered with Extrementhusiast&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 10bo$4bo4bobo$4b3o2bobo$7bobob2o$4b4obo3bo$4bo2bobo3bo$6b2obo3bo$2o2bo<br /> 2bo5bo$o2bobobo2bo2bo$b5ob2obo2bo$6bo2bob2o9b2o$b4obob2obo8b2o2bo$bo2b<br /> obobo2bo8b5o$5bo3b2o3$30b2o3bo$16b5o8bo2bobobo2bo$16bo2b2o8bob2obob4o$<br /> 17b2o9b2obo2bo$27bo2bob2ob5o$27bo2bo2bobobo2bo$27bo5bo2bo2b2o$27bo3bob<br /> 2o$27bo3bobo2bo$27bo3bob4o$28b2obobo$29bobo2b3o$29bobo4bo$30bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 24 ]]<br /> |caption = p48 unnamed object hassler.&lt;br/&gt; The unnamed object is a 6-cell traffic light predecessor.&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 42bo5bo$41b3o3b3o$40bobobobobobo$39b2obobobobob2o$39bob4ob4obo$39b5o3b<br /> 5o3$43b2ob2o$42bobobobo$43bo3bo19b2o$63b2obo2bo3bo2bo2bo$64bob3obo2b7o<br /> $61b3o6bo13b2o$61bo2b6ob11o2bo$63bo5bo3bo8bobo$54b2o8bo2b2obo3b3o2b2ob<br /> ob2o$54b4o6bo2bo7bobobo5bo$45b3o6b2obobo6bo9b3ob2ob2o$45bobo6b2obo2bob<br /> 2o12b3o2bobo$17b2o25bo2bo6b2obo2bob2o12b3o2bobo$6bo2bo2bo3bo2bob2o21bo<br /> bo7b2obobo6bo9b3ob2ob2o$6b7o2bob3obo22b3o7b4o6bo2bo7bobobo5bo$2o13bo6b<br /> 3o29b2o8bo2b2obo3b3o2b2obob2o$bo2b11ob6o2bo38bo5bo3bo8bobo$bobo8bo3bo<br /> 5bo38bo2b6ob11o2bo$2obob2o2b3o3bob2o2bo8b2o29b3o6bo13b2o$o5bobobo7bo2b<br /> o6b4o7b3o22bob3obo2b7o$b2ob2ob3o9bo6bobob2o7bobo21b2obo2bo3bo2bo2bo$2b<br /> obo2b3o12b2obo2bob2o6bo2bo25b2o$2bobo2b3o12b2obo2bob2o6bobo$b2ob2ob3o<br /> 9bo6bobob2o6b3o$o5bobobo7bo2bo6b4o$2obob2o2b3o3bob2o2bo8b2o$bobo8bo3bo<br /> 5bo$bo2b11ob6o2bo$2o13bo6b3o$6b7o2bob3obo$6bo2bo2bo3bo2bob2o$17b2o19bo<br /> 3bo$37bobobobo$38b2ob2o3$34b5o3b5o$34bob4ob4obo$34b2obobobobob2o$35bob<br /> obobobobo$36b3o3b3o$37bo5bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 24 ]]<br /> |caption = p48 lumps of muck hassler, using two [[180P8]]s&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 35bo2b2o4b2o2bo$35b4obo2bob4o$40b4o$37b2o6b2o$36bobob4obobo$36bo2b2o2b<br /> 2o2bo$33b2ob2o8b2ob2o$34bobo10bobo$34bobo10bobo$33b2obob8obob2o$34bobo<br /> bob4obobobo$34bobo2bob2obo2bobo$33b2obo10bob2o$36bo10bo$36b3o6b3o$34b<br /> 2o2bo6bo2b2o$33bo2bo10bo2bo$32bobobo3bo2bo3bobobo$32bobob3o6b3obobo$<br /> 33b2obobo6bobob2o$36bobo6bobo$33b2ob3o6b3ob2o$33bobo5b2o5bobo$35bo5b2o<br /> 5bo$35b2o10b2o$41b2o$41b2o$40bo2bo$40bo2bo$40bo2bo$17b2o19b8o$6bo2bo2b<br /> o3bo2bob2o16bo4bo$6b7o2bob3obo$2o13bo6b3o$bo2b11ob6o2bo$bobo4bo5bobobo<br /> 4bo$2obobo4b2o3bo3b2o20bo$o5bo2bo2bo4b2o8b5obo6bobo$b2ob2o6bo5b2o3bob<br /> 2o13bobo$2bobo7bo8bo2bo9bo6bo$2bobo7bo8bo2bo9bo$b2ob2o6bo5b2o3bob2o20b<br /> o$o5bo2bo2bo4b2o8b5obo12bobo$2obobo4b2o3bo3b2o26bo$bobo4bo5bobobo4bo$b<br /> o2b11ob6o2bo$2o13bo6b3o$6b7o2bob3obo$6bo2bo2bo3bo2bob2o$17b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 24 ]]<br /> |caption = p48 beehive hassler and sparker, reduced by iNoMed&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 30b2o$30bobob2o$32bobo$31bo2bo$24b2ob2obobob2o$25bobo3b2o3bo$25bobo5b<br /> 3o$26bob5o$29bo2bob2o$24b5o2b2obobo$23bo4bo3bo3bo$24b3obob2ob3o$3b2o3b<br /> 2o16bo6bo$3b2o3b2o$13bo13bo4bo$13b2o3b2o8bo2bo$4bo10bo2b2o9b3o$3bob2o<br /> 2b2o3bo14bo2bo8b2o$2b2o6bo3bo19bo4b2obo$32bo2bo3bo$18b2o$5b2o7bo3b2o<br /> 16bo3bo2bo$2o3bo7b2o18bob2o4bo$2o31b2o8bo2bo$44b3o$5bo3bo6b2o26bo2bo$<br /> 5bo3b2o2b2obo8bo17bo4bo$2o2bo10bo9bo$2o3b2o18bo16bo6bo$6bo33b3ob2obob<br /> 3o$10b2o3b2o4b3o3b3o9bo3bo3bo4bo$10b2o3b2o22bobob2o2b5o$25bo14b2obo2bo<br /> $25bo17b5obo$25bo14b3o5bobo$39bo3b2o3bobo$16b2o5bo16b2obobob2ob2o$16b<br /> 2o4b3o4b2o10bo2bo$16bo5b3o4b2o10bobo$12bob5obo5bo3bo9b2obobo$11bo3b3o<br /> 10b5obo9b2o$12bo9bo6b3o3bo$34bo2$16b2o8b2o$16bo2b6o2bo$17b2o6b2o$14b3o<br /> 10b3o$14bo2bobo4bobo2bo$15b2o4b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 24 ]]<br /> |caption = p48 traffic light hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p50honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 25 ]]<br /> |caption = p50 honey farm hassler, co-discovered with Extrementhusiast<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 33b2o11b2o$34bo11bo$33bo13bo$33b2o5bo5b2o$36b2obobob2o$31b5obobobobob<br /> 5o$30bo4bobobobobobo4bo$31b3ob2ob2ob2ob2ob3o$33bobo9bobo$34bo11bo$16b<br /> 2o4b2o$4b2o3b2o4bobo4bo$4bobobobo3bo2bob2obo$2b2o2bobo6b2obobob2o$3bob<br /> 2obo7bo$3bo4bo7b2ob2ob2obo$2b2ob2o2b2ob2ob3o3b2o$o2bob2o3bob2obob2o2bo<br /> bo3bo3bo$2obo2bo5bobo3bo2bobo3bo3b2o13bo$3bo2bo5b4o5b2o9b2o11bobo$3bo<br /> 3bo3bo5bob2ob2obo7bo9b3obo$4b3o5b5obo23bo4b2obo$6bobo8b2obob2o18bob2o<br /> 3b2o5b2o$7b2o5b2o3b2obo18b2obob2o8bobo$14bob2o4bo23bob5o5b3o$17bob3o9b<br /> o7bob2ob2obo5bo3bo3bo$17bobo11b2o9b2o5b4o5bo2bo$18bo13b2o3bo3bobo2bo3b<br /> obo5bo2bob2o$33bo3bo3bobo2b2obob2obo3b2obo2bo$42b2o3b3ob2ob2o2b2ob2o$<br /> 39bob2ob2ob2o7bo4bo$48bo7bob2obo$41b2obobob2o6bobo2b2o$42bob2obo2bo3bo<br /> bobobo$42bo4bobo4b2o3b2o$41b2o4b2o$18bo11bo$17bobo9bobo$15b3ob2ob2ob2o<br /> b2ob3o$14bo4bobobobobobo4bo$15b5obobobobob5o$20b2obobob2o$17b2o5bo5b2o<br /> $17bo13bo$18bo11bo$17b2o11b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 25 ]]<br /> |caption = p50 lumps of muck/R-pentomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = trueperiod54gun<br /> |position = left<br /> |viewerconfig = #C [[ GPS 27 ]]<br /> |caption = [[period-54 glider gun]]<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 21bo$19b3o$18bo$18b2o2$15b3o$3b2o9bo3bo$b3obo7bo5bo$o4bo7bo5bo$b3ob2o<br /> 6bo5bo$3b2o2bo6bo3bo8bo$6b2o7b3o8bobob2o$7bo18bobobo$3bo4bo16b2obobo$<br /> 3bob4o16bo2bob2o$4bo21bobobo$6bo18bo5bo$5b2o18b2ob3o$26bo$9b2o12b2obob<br /> 3o$9b2ob2o2bobo4b6o2bo$13bob2o2bo3bo6bo$13b2obob2o4b6o$8b2o5b2o6b2o3bo<br /> $9bo6bob2o3b2obo3bo$6b3o5bobob2o3b8o$6bo7b2o$27bob2o$26b2ob2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 28 ]]<br /> |caption = Period-55 glider gun<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 37b2o11b2obobo4bobob2o$37b2o10bobob2obo2bob2obobo$47b3o2bo3b4o6bo$46bo<br /> 3bobob2o4b5ob2o$46bobobobo2bob2o4bobo$2b2obobo4bobob2o32bo4bo2b4o3bo$b<br /> obob2obo2bob2obobo28bo3b2o3bo3bo3bo$bo6b4o3bo2b3o30b4obob2obobo$2ob5o<br /> 4b2obobo3bo24b2o3b2obo4bo3bobo$2bobo4b2obo2bobobobo27bo5bob3obo2bobo$<br /> 2bo3b4o2bo4bo28bob3o6bobo2bobobo$3bo3bo3bo3b2o3bo25bo3bo5bo2b2obobob2o<br /> $4bobob2obob4o20bo9bo3bobob2o3bob2o$2bobo3bo4bob2o3b2o14bobo5bo2b3obob<br /> o2b3obo$bobo2bob3obo5bo17bob2o4bo2b3obobo2b3obo$bobobo2bobo6b3obo15bo<br /> 9bo3bobob2o3bob2o$2obobob2o2bo5bo3bo24bo3bo5bo2b2obobob2o$4b2obo3b2obo<br /> bo3bo9bo15bob3o6bobo2bobobo$7bob3o2bobob3o2bo4b2obo17bo5bob3obo2bobo$<br /> 7bob3o2bobob3o2bo5bobo14b2o3b2obo4bo3bobo$4b2obo3b2obobo3bo9bo20b4obob<br /> 2obobo$2obobob2o2bo5bo3bo25bo3b2o3bo3bo3bo$bobobo2bobo6b3obo28bo4bo2b<br /> 4o3bo$bobo2bob3obo5bo27bobobobo2bob2o4bobo$2bobo3bo4bob2o3b2o24bo3bobo<br /> b2o4b5ob2o$4bobob2obob4o30b3o2bo3b4o6bo$3bo3bo3bo3b2o3bo28bobob2obo2bo<br /> b2obobo$2bo3b4o2bo4bo32b2obobo4bobob2o$2bobo4b2obo2bobobobo$2ob5o4b2ob<br /> obo3bo$bo6b4o3bo2b3o$bobob2obo2bob2obobo10b2o$2b2obobo4bobob2o11b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 29 ]]<br /> |caption = p57 [[R-pentomino]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 10bo6bo$9b2o6b2o$8b3o6b3o$9b2o6b2o$bo8bo6bo$b3o$4bo$3bobo$4bo4b3o$9bo$<br /> 10bo$5b2o$5b2o$25b2o$25b2o$bo10b3o11bo$o3b3o5bobo2b3o4b5obo$bob5o4b3o<br /> 2bobo5b3o3bo$5bo11b3o10bo$5b2o$5b2o$25b2o$25b2o$21bo$22bo$20b3o4bo$26b<br /> obo$27bo$28b3o$14bo6bo8bo$13b2o6b2o$12b3o6b3o$13b2o6b2o$14bo6bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 30 ]]<br /> |caption = p60 traffic light hassler, co-discovered with Adam. P. Goucher&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p60honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 30 ]]<br /> |caption = p60 honey farm shuttle (or &quot;wiggler shuttle&quot;)&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 94b2o$94bobob2o$96bobo$95b2obo$88b2ob2obobob2o$89bobo3b2o3bo$89bobobo<br /> 3b3o$90b7o$96bob2o$88b6o3b2obo$87bo7b2o3bo$88b3o6b3o$90bo6bo$83bo7b6o$<br /> 76bo5b3o$76b2o7bo$75bobo4bo2b2o$73bob2o8b3o$73bob2o2b2o3b3o$73bobo2b3o<br /> 2bob3o$75b2o2bo3b6o3bo2b2o$25b2o57b3obo2b3o2bobo8b2o$23bo4bo56b3o3b2o<br /> 2b2obo6bo4bo$22bo6bo54b3o8b2obo5bo6bo$21bo8bo54b2o2bo4bobo6bo8bo$21bo<br /> 8bo55bo7b2o7bo8bo$9bo11bo8bo56b3o5bo7bo8bo$8bobo11bo6bo45b6o7bo15bo6bo<br /> $8bobo12bo4bo45bo6bo23bo4bo$6b3ob2o13b2o45b3o6b3o23b2o$5bo65bo3b2o7bo<br /> 6b2o$6b3ob2o59bob2o3b6o6bo2bo$8bob2o24b2o6b2o26b2obo14bobo25b2o6b2o$<br /> 34bo4bo2bo4bo27b7o9bo24bo4bo2bo4bo$34bo4bo2bo4bo24b3o3bobobo33bo4bo2bo<br /> 4bo$18b3o13bo4bo2bo4bo23bo3b2o3bobo17b3o13bo4bo2bo4bo$18bo2b2o13b2o6b<br /> 2o26b2obobob2ob2o16bo2b2o13b2o6b2o$18b2o2bo50bob2o23b2o2bo$20b3o2b3o<br /> 45bobo26b3o2b3o$25bo2b2o42b2obobo29bo2b2o11b2o$2b2o6b2o13b2o2bo46b2o6b<br /> 2o6b2o13b2o2bo10bob3o$o4bo2bo4bo13b3o52bo4bo2bo4bo13b3o10bobobo$o4bo2b<br /> o4bo68bo4bo2bo4bo25b2o2b3o$o4bo2bo4bo68bo4bo2bo4bo28bo$2b2o6b2o24b2obo<br /> 44b2o6b2o24b2o5bo$36b2ob3o75bobo5b2o$42bo74bo$21b2o13b2ob3o61b2o10b3o<br /> 8bobo$19bo4bo12bobo61bo4bo7bo12b2o$18bo6bo11bobo60bo6bo6b2o$17bo8bo11b<br /> o60bo8bo$17bo8bo72bo8bo$17bo8bo72bo8bo$18bo6bo74bo6bo$19bo4bo76bo4bo$<br /> 21b2o80b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 30 ]]<br /> |caption = p60 LOM hassler, co-discovered with iNoMed. On the right are two different period multipliers. The top left eater 2 is replaced by a p48 (also on this page); together, they flip a loaf at period LCM(60,48) = 240. The bottom right uses the same period-doubling reaction as [[35P12.1]] for a p120; the p3 ([[fire-spitting]]) was put together by praosylen.<br /> }}<br /> |}</div>

Praosylen https://conwaylife.com/w/index.php?title=OCA_Discovery_of_the_Year&diff=86258 2021-12-20T21:03:02Z

<p>Praosylen: looks like I missed one</p> <hr /> <div>{{stub}}<br /> The '''[[OCA]] Discovery of the Year'''{{refn|group=note|&quot;OCA&quot; is an acronym for &quot;other cellular automata.&quot;}} ('''OCADOTY''') competition is held each year on the ConwayLife.com forums as a counterpart to [[Pattern of the Year]] dedicated to rules other than [[Conway's Game of Life]]. Users are invited to submit interesting and noteworthy patterns, rules, families of rules, or projects relating to other cellular automata, their own or others'; following discussion, a final list is then curated, and a public vote held. All entries must have been found during the year in question.<br /> <br /> ==Results by year==<br /> <br /> ===2020===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=117617#p117617 Entries]<br /> <br /> The OCA Discovery of the Year competition for 2020 was organized by [[Peter Naszvadi]] and [[bubblegum]].<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern/Discovery<br /> ! Author(s)<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 45 || Day and Night knightships incl. a growing one || [[AforAmpere]] and [[Adam P. Goucher]] || [https://www.conwaylife.com/wiki/OCA:Day_%26_Night#Elementary]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various knightships in B3678/S34678 (Day and Night), including a growing knightship<br /> |-<br /> | 2 || 44 || Small natural replicator simulating W110 || [[Arie Paap]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3752&amp;start=225#p116434]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Replicator that follows the computationally universal 1D rule W110<br /> |-<br /> | 3 || 43 || Tiny adjustable ships/oscillators || [[Arie Paap]] and [[Oscar Cunningham]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3081&amp;start=100#p101606]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Adjustable ships/oscillators: mobile ship tracks (diagonal ship bouncing between and slowing down two orthogonal ships), also the first relativistic adjustables; 3-cell adjustable spaceship family with infinite speeds [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3081&amp;start=125#p117701] and a rule family with 12 members [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=3248&amp;start=175#p101763] supporting 3-cell adjustable oscillators covering all periods, by Oscar Cunningham<br /> |-<br /> | 4 || 41 || Speed orthogonoids and geminoids || [[cvojan]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4669#p103343]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | 304c/11272 Orthogonoid and (700,100)c/72300 Geminoid in B2c3aeij4krtyz5cij6-ak7/S2-ik3-aek4aeiknw5a6ikn7 (Tubular)<br /> |-<br /> | 5 || 40 || Wire-like rule 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3 || [[silversmith]] || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=4693]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3 (A Wire-Like World), a universal Generations wiring rule with complex dynamic circuitry and construction capabilities<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 39 || Oblique (421,1)c/867 ship || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2892&amp;start=900#p98167]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Spaceship moving at (421,1)c/867<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 39 || LFoD O(t^(3/2)) growth construction || [[FWKnightship]] and [[praosylen]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=649&amp;start=175#p110293]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Constructed pattern in B2/S0 (Live Free or Die) that grows with a complexity of O(t^(3/2))<br /> |-<br /> | 8 || 38 || Various [[LeapLife]] discoveries || [[Hunting]] || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=4267]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Meta-discovery: An attempt to reproduce the development of CGoL - and see how state of art tools and blueprints could accelerate this process with much success. [https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=5059 Detailed progress summary and animation]<br /> |-<br /> | 9 || 37 || Various W110 unit cell constructions || [[Naszvadi]], [[FWKnightship]], [[Layz Boi]] and [[GUYTU6J]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2597&amp;start=50#p91100]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various W110 generalized unit cells, rakes and (noncompact) stripes in [[D&amp;N]], [[Morley]], [[Logarithmic replicator rule]], [[B368/S12578]], [[LFoD]], [[Seeds]], [[Life without death]], [[DotLife]], a TC 4-state vonNeumann rule, [[Rule:Cgolinhexa|14-state OT hexagonal rule]] with 2×2 CGoL unit cell and a [[Rule:Hexasymmcgol|4-state hexagonal rule]] directly simulating CGoL<br /> |-<br /> | 10 || 36 || B378/S23 first glider gun || [[Matthias Merzenich]], [[Naszvadi]] and [[Paul Tooke]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=1071&amp;start=25#p104624]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Márta guns, the first guns in B378/S23<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 35 || Natural adjustable ships || [[Saka]] || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=3081&amp;start=100#p100982]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Adjustable-speed spaceships to have been found naturally rather than constructed, with unusual complex mechanism for adjustability. A Diamoeba-like IOT rule: B2ci3-i4cit5-i6-i78/S3a4t5678<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 35 || First [[Unit Cell]]'s visualisation rule || [[Naszvadi]] || [https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=3831&amp;start=50#p110868]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Visualisation of CGoL patterns in the first ever constucted p5760 unit cell grid<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 35 || Failed replicator in OT rule B378/S2458 || [[LaundryPizza03]] || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=4499]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | B378/S2458, a new gem of an OT rule with a failed 1D replicator<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 35 || Box-pushing spaceships || [[Saka]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=1971&amp;start=1675#p96450]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various spaceships including boxes with smaller spaceships pushing them from the inside, right triangles and crosses<br /> |-<br /> | data-sort-value=&quot;15&quot; | =15 || 34 || Various symbiosis discoveries and constructions || many || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=2999]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | New developments in Symbiosis, including a vast array of oscillators and guns, lightspeed signal circuitry and a unique MSM breeder.<br /> |-<br /> | data-sort-value=&quot;15&quot; | =15 || 34 || Various oscillators and spaceships in HROT rules || [[lemon41625]], [[Saka]], [[Chris Rowett]] and [[Hunting]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4434&amp;start=25#p99806]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Oscillators and spaceships in HROT rules: circular chequerboards fighting for territory, and rocket rules[https://conwaylife.com/forums/viewtopic.php?f=3&amp;t=1622&amp;start=1550#p98806] in the cross neighbourhood<br /> |-<br /> | 17 || 33 || Spaceship discovery progress in life-like vonNeumann rules || [[Naszvadi]] and [[praosylen]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2233&amp;start=25]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various spaceships and replicators in R1 OT B0 VN rules<br /> |-<br /> | 18 || 32 || HROT Almostlife discoveries and W110 constructions || [[lemon41625]] and [[FWKnightship]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4656]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | R2,C2,S6-11,B9-11,NW0010003330130310333000100 (AlmostLife), a HROT rule very close to Life resembling an INT rule, with first ever constructed HROT unit cell simulating W110 by FWKnightship<br /> |-<br /> | 19 || 30 || [[B36/S245]]-alike logreplicator || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=1971&amp;start=1600#p94136]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Replicator emulating the B36/S245 logarithmic replicator<br /> |-<br /> | 20 || 29 || Binary counter-stretcher-lograke-ship || [[Naszvadi]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3752&amp;start=200#p105390]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Binary counter one-ended wavestretcher/logarithmically-growing spaceship<br /> |-<br /> | 21 || 25 || Crystal Chaos HROT rule || [[Connor Steppie]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2933&amp;start=400#p111210]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | R2,C0,S4-7,9-11,B4,NB (Crystal Chaos), a dynamic HROT rule with a hidden crystal structure that allows for fragile explosions<br /> |}<br /> <br /> ===2019===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=86702#p86702 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=95325#p95325 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=96402#p96402 Results]<br /> <br /> The OCA Discovery of the Year competition for 2019 was organized by [[testitemqlstudop]] and [[bubblegum]].<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | data-sort-value=&quot;1&quot; | =1 || 37 || Dominoplex [[Orthogonoid]] || [[2718281828]] || [https://www.conwaylife.com/forums/viewtopic.php?p=67929#p67929]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Orthogonoid spaceship in rule B2cen3ek4ejkwz5-ein6an7e8/S12an3-eijq4enrty5e6k.<br /> |-<br /> | data-sort-value=&quot;1&quot; | =1 || 37 || Orthogonoid || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=75164#p75164]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Speed orthogonoid spaceship in rule B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8.<br /> |-<br /> | 3 || 33 || [[Snowflakes]]' pseudo-Orthogonoid || [[Goldtiger997]] et al. ([[2718281828]], [[dani]], [[toroidalet]], [[BlinkerSpawn]] etc.) || [https://www.conwaylife.com/forums/viewtopic.php?p=74697#p74697]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A pseudo-orthogonoid, a self-constructing puffer.<br /> |-<br /> | 4 || 26 || [[RRO]]s || [[2718281828]] and [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=79657#p79657]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | massive reflectorless rotating oscillators.<br /> |-<br /> | 5 || 25 || 3S1CShip8 and its c/2^6911+6913 one-cell ship || [[fluffykitty]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3089#p77780]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | 3S1CShip8 and its c/2^6911+6913 one-cell ship.<br /> |-<br /> | 6 || 24 || Non-explosive B1e rules || [[toroidalet]], [[Saka]], [[testitemqlstudop]], [[wildmyron]], [[praosylen]] et al || [https://conwaylife.com/forums/viewtopic.php?f=12&amp;t=4002]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Non-explosive B1e rules.<br /> |-<br /> | 7 || 23 || B2a/S circuitry || [[toroidalet]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=1971&amp;p=83652#p83652]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Signal logic circuitry with replicator streams<br /> |-<br /> | 8 || 22 || Additions to the [[5S]] project || [[wildmyron]] et al || [https://www.conwaylife.com/forums/viewtopic.php?p=96402#p96402]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Additions to the 5S project, especially these ones: (176,1)c/440, 108c/37886 diagonal, (98,97)c/4312<br /> |-<br /> | 9 || 21 || GUYTU6J's OCA discoveries || [[GUYTU6J]] || [https://conwaylife.com/forums/viewtopic.php?p=79333#p79333] [https://conwaylife.com/forums/viewtopic.php?p=83736#p83736] [https://conwaylife.com/forums/viewtopic.php?p=84306#p84306] [https://conwaylife.com/forums/viewtopic.php?p=84345#p84345]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Triangular and ruler replicator + SMOS, 2D replicator with beautiful fractal, 2D replicator firing gliders and 10c/20s, Bizarre rake-plicator<br /> |-<br /> | 10 || 20 || Hactar's 2x2 p2 metacells || [[HactarCE]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3905]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Hactar's 2x2 p2 metacells simulating outer-totalistic life-like rules.<br /> |-<br /> | 11 || 18 || Omosso's pair-interaction ships || [[77topaz]] et al || [https://www.conwaylife.com/forums/viewtopic.php?p=84668#p84668]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Omosso's pair-interaction ships with very high periods.<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 17 || Mahler-rep || [[Letters]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4163]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Mahler-rep, a modification of Devore which allows for smaller replicators and computers.<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 17 || Rule X3VI || [[Rhombic]], [[testitemqlstudop]] et al || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=3830]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first INT rule to reach 1T objects in C1 on Catagolue.<br /> |-<br /> | 14 || 16 || [[W110]] in Codd || [[Naszvadi]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2597&amp;start=50#p76308] [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2597&amp;start=50#p76371]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Usual W110 [[Unit cell]] that proves Turing-completeness of a classic 8-state vN rule by E.F. Codd.<br /> |-<br /> | 15 || 15 || ZombieLife || [[77topaz]], [[Moosey]], [[dani]], [[dvgrn]] et al || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3802]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with its enormous natural spaceships.<br /> |}<br /> <br /> ===2018===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=67092#p67092 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=69546#p69546 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=71074#p71074 Results]<br /> <br /> The nominations for the 2018 competition were organized by [[Rhombic]], and the voting by [[77topaz]]. Users were able to vote on as many entries as they wished, awarding up to three stars to each one.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 38 || [[Adjustable spaceship|Adjustable slope]] spaceships || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=62121#p62121]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Spaceships which can be adjustable to travel at any integer [[slope]]. <br /> |-<br /> | 2 || 24 || bf esolang simulator || [[M.I. Wright]] || [https://www.conwaylife.com/forums/viewtopic.php?p=62509#p62509]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A cellular automaton simulating the bf programming language.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 23 || [[ATPP]] || [[dani]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64307#p64307]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule containing many spaceships based on failed replicators as well as several actual [[replicator]]s based on it.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 23 || Exponentially long-lasting [[methuselah]]s || [[toroidalet]] || [https://conwaylife.com/forums/viewtopic.php?p=66707#p66707]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various [[fuse]]-based methuselahs, one of which has an estimated lifespan of 2&lt;sup&gt;2^50&lt;/sup&gt; generations.<br /> |-<br /> | 5 || 22 || Smallest [[Oscillator]]s Supporting Specific Periods || [[Oscar Cunningham]] || [https://conwaylife.com/forums/viewtopic.php?p=60942#p60942]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Examples of two-cell oscillators for every period up to 102.<br /> |-<br /> | 6 || 21 || 8c/9 orthogonal spaceship || [[AforAmpere]] || [https://conwaylife.com/forums/viewtopic.php?p=55978#p55978]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The fastest known sub-[[c orthogonal|lightspeed]] spaceship in an [[isotropic non-totalistic]] rule without [[B0]].<br /> |-<br /> | 7 || 20 || [[Suns]] || [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=61796#p61796]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule containing a high-period oscillator which can be hassled at various other periods.<br /> |-<br /> | 8 || 18 || [[JvN29]] loop-based [[replicator]] || [[fluffykitty]], [[Redstoneboi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=62707#p62707]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A replicator in von Neumann's original cellular automaton.<br /> |-<br /> | data-sort-value=&quot;9&quot; | =9 || 17 || [[Omosso]] || [[Saka]] || [https://www.conwaylife.com/forums/viewtopic.php?p=67045#p67045]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule containing high-period spaceships, a natural [[RRO]], and [[OMOS]]es of various periods, hence its name.<br /> |-<br /> | data-sort-value=&quot;9&quot; | =9 || 17 || [[Rule 110]] [[unit cell]]s in various rules || [[Peter Naszvadi]], [[Luka Okanishi]], [[LaundryPizza03]] || [https://www.conwaylife.com/forums/viewtopic.php?p=55617#p55617] [https://www.conwaylife.com/forums/viewtopic.php?p=56996#p56996]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=62217#p62217] [https://www.conwaylife.com/forums/viewtopic.php?p=66774#p66774]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Proofs of Turing-completeness for rules including but not limited to [[HighLife]], [[DryLife]], and [[LowDeath]].<br /> |-<br /> | 11 || 16 || [[tlife]] [[puffer]] || [[dani]], [[Luka Okanishi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=63145#p63145] [https://www.conwaylife.com/forums/viewtopic.php?p=63228#p63228]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An 8c/282 orthogonal puffer, and a spaceship based on it.<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 15 || [[Hype]] || [[FlameandFury]] || [https://www.conwaylife.com/forums/viewtopic.php?p=58606#p58606]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with a wide variety of high-period oscillators which has also been proven [[omniperiodic]].<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 15 || [[Hive]] || [[dani]] || [https://www.conwaylife.com/forums/viewtopic.php?p=61050#p61050]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with a failed [[replicator]] from which various high-period and unusual-speed spaceships have been constructed.<br /> |-<br /> | data-sort-value=&quot;14&quot; | =14 || 14 || Record-slowest spaceships || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=63283#p63283]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule table supporting spaceships based on [https://en.wikipedia.org/wiki/Knuth%27s_up-arrow_notation Knuth's up-arrow notation], allowing for unimaginably slow speeds.<br /> |-<br /> | data-sort-value=&quot;14&quot; | =14 || 14 || [[Emitters]] || [[dani]] || [https://www.conwaylife.com/forums/viewtopic.php?p=60621#p60621]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with many high-period oscillators (similar to [[Hype]]) but also a small [[spacefiller]], a [[replicator]], and several [[gun]]s.<br /> |-<br /> | 16 || 13 || Other [[adjustable spaceship]]s || [[Luka Okanishi]], [[Connor Steppie]], [[Arie Paap]], [[2718281828]], [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=50642#p50642]<br /> |- class=&quot;expand-child&quot;<br /> |-<br /> | 17 || 11 || Other [[RRO]]s || [[2718281828]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=61192#p61192]<br /> |- class=&quot;expand-child&quot;<br /> |-<br /> | 18 || 10 || [[Arrow]] || [[77topaz]] || [https://www.conwaylife.com/forums/viewtopic.php?p=59732#p59732]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with [[adjustable spaceship|adjustable]] [[rake]]s and many known reactions based on them.<br /> |}<br /> <br /> ===2017===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=54526#p54526 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=55583#p55583 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=56599#p56599 Results]<br /> <br /> The 2017 competition was organized by [[Rhombic]]. Users were able to vote on as many entries as they wished, awarding up to three stars to each one.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 25 || Orthogonal [[adjustable spaceship]]s || [[praosylen]], [[Luka Okanishi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=45945#p45945] [https://www.conwaylife.com/forums/viewtopic.php?p=47385#p47385]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Two rules allowing for the trivial construction of infinitely many odd and even-period spaceships respectively.<br /> |-<br /> | 2 || 18 || [[LifeWiki:5s project|5s project]] || [[dani]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=44044#p44044]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A collection of the smallest known spaceships of every speed among the [[isotropic non-totalistic]] rulespace.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 15 || [[SMOS|SMOSMOS]] || [[Saka]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=52063#p52063]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first known spaceships made of SMOSes, with various examples posted.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 15 || [[Movostill 3]] || [[dani]] || [https://conwaylife.com/forums/viewtopic.php?p=52833#p52833]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with various elementary spaceships and guns as well as construction potential.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 15 || [[HighLife]] replicator spaceships || [[Luka Okanishi]] || [https://conwaylife.com/forums/viewtopic.php?p=51616#p51616] [https://conwaylife.com/forums/viewtopic.php?p=52577#p52577] [https://conwaylife.com/forums/viewtopic.php?p=53404#p53404]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [[Replicator]]-based spaceships traveling at speeds of c/18, c/12, and c/30 diagonal respectively.<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 14 || [[tDryLife]] pondlayer-based spaceship || [[Luka Okanishi]] || [https://conwaylife.com/forums/viewtopic.php?p=44806#p44806]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An engineered spaceship based on a high-period [[pond]] [[puffer]].<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 14 || One-cell [[universal constructor]] || [[blah]] || [https://www.conwaylife.com/forums/viewtopic.php?p=50782#p50782]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A method of producing arbitrary complex patterns from a single cell using rule tables.<br /> |-<br /> | 8 || 12 || [[Snowflakes]] || [[Blinkerspawn]], [[dani]] || [https://conwaylife.com/forums/viewtopic.php?p=54284#p54284]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with construction potential despite its differences from Conway's Game of Life.<br /> |-<br /> | 9 || 11 || [[Rule 110]] [[unit cell]]s in various rules || [[Peter Naszvadi]] || [https://conwaylife.com/forums/viewtopic.php?p=51602#p51602] [https://conwaylife.com/forums/viewtopic.php?p=52043#p52043]&lt;br&gt;[https://conwaylife.com/forums/viewtopic.php?p=52584#p52584] [https://www.conwaylife.com/forums/viewtopic.php?p=53026#p53026]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Proofs of Turing-completeness for certain [[Life-like]] rules including but not limited to [[Pedestrian Life]], [[EightLife]], and [[HoneyLife]].<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 9 || Spaceship-bouncing-off-object [[adjustable spaceships]] || [[Connor Steppie]] || [https://conwaylife.com/forums/viewtopic.php?p=50642#p50642]<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 9 || Extremely slow spaceships || [[Blinkerspawn]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=49617#p49617]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The design of spaceships with excruciatingly slow speeds using different approaches<br /> |-<br /> | 12 || 7 || [[Slope]] 73 spaceship || [[AforAmpere]] || [https://conwaylife.com/forums/viewtopic.php?p=53529#p53529]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A (73,1)c/160 spaceship, at the time the [[oblique spaceship]] with the steepest known slope.<br /> |-<br /> | 13 || 6 || [[Larger than Life]] developments || [[Saka]], [[Connor Steppie]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=45530#p45530] [https://conwaylife.com/forums/viewtopic.php?p=47921#p47921] [https://conwaylife.com/forums/viewtopic.php?p=50650#p50650]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A collective entry for various discoveries within the Larger than Life rulespace.<br /> |}<br /> <br /> ==Notes==<br /> &lt;references group=&quot;note&quot; /&gt;<br /> <br /> [[Category:Everything else]]<br /> [[Category:Competitions]]</div>

Praosylen https://conwaylife.com/w/index.php?title=Tutorials/Contributing_to_Catagolue&diff=86257 2021-12-20T21:02:21Z

<p>Praosylen: /* Soup-searching non-totalistic rules */</p> <hr /> <div>[[File:Contributing to Catagolue.png|thumb|right|Flowchart explaining how to choose the right [[apgsearch]] version (click to enlarge)|link=https://conwaylife.com/w/images/8/8d/Contributing_to_Catagolue.png]]<br /> So you've decided to contribute to Adam P. Goucher's [[Catagolue]]? Excellent! Are you familiar with cellular automata yet? If no, you may want to read the [[Tutorials/Rules|rules tutorial]] first, but this is optional.<br /> <br /> == Generating a Payosha256 key ==<br /> <br /> '''If you want to contribute anonymously, you can skip this section.'''<br /> <br /> If you want to contribute under your name or a pseudonym, you will have to create a Payosha256 key. (Payosha256 is a protocol based on Adam Back's [https://en.wikipedia.org/wiki/Hashcash HashCash] proof-of-work system).<br /> <br /> In order to generate a Payosha key, you need to be logged into a Google account; create a new one if you don't have one or don't want to use your existing one. If you can't or don't want to do this, you'll not be able to contribute to Catagolue non-anonymously.<br /> <br /> Go to [https://catagolue.hatsya.com/payosha256 Catagolue's Payosha256 page], log in using the login link, and authorize Catagolue. Once you're logged in and back on Catagolue, create a new key/displayed name pair. The key itself can be chosen by you and should be kept safe, the same way a password would. Contributions made using the key will carry the displayed name you provided.<br /> <br /> You can create as many keys as you'd like. (But you won't need more than one.)<br /> <br /> == Your Catagolue user page ==<br /> <br /> Your Catagolue user page tracks your contributions for B3/S23/C1, awards badges for certain achievements, and displays your findings.<br /> <br /> Your findings include any of the first 20 occurrences of any oscillator with period greater than 1, any spaceship yl, or zz pattern, and &quot;interesting&quot; still lifes (30 cells or above). Other still lifes and PATHOLOGICALs are not reported.<br /> <br /> The badges are:<br /> <br /> * [[File:Conchita.png]] Conchita: find a soup containing a [[phoenix 1|phoenix]].<br /> * [[File:GeminiTheBadge.png]] Gemini: discover a new [[twin bees shuttle]] variant.<br /> * [[File:Gigamyriad.png]] Gigamyriad: contribute 10&lt;sup&gt;13&lt;/sup&gt; objects.<br /> * [[File:Hitchhiker.png]] Hitchhiker: find a soup containing a [[Kok's galaxy]].<br /> * [[File:Limitless.png]] Limitless: observe a new natural [[infinite-growth pattern]].<br /> * [[File:Loafer_badge.png]] Loafer: discover a natural [[loafer]].<br /> * [[File:Monarchist.png]] Monarchist: discover a new [[queen bee shuttle]] variant.<br /> * [[File:Sprotsmanship.png]] Sprotsmanship: contribute one third of a trillion objects to a different rule or symmetry.<br /> * [[File:Trillionaire.png]] Trillionaire: contribute one trillion objects.<br /> * [[File:Voyager.png]] Voyager: find one of the first twenty occurrences of a [[spaceship]].<br /> <br /> == Initiating a soup search ==<br /> <br /> Start by choosing the right version of [[apgsearch]] as indicated in the flowchart at the top of this page.<br /> <br /> * If you want to look at non-totalistic rules, you'll need either apgluxe 5.x (command line) or the hacked version of apgsearch 1.x.<br /> * If your CPU is not x86_64 (all modern Intel/AMD CPUs are), or does not support at least SSE2 (most modern Intel/AMD CPUs do), you'll need apgsearch 1.x (regular or hacked).<br /> ** You're not sure what your CPU can do? Take a look at &lt;tt&gt;/proc/cpuinfo&lt;/tt&gt; on Linux, or use a tool like [http://www.cpuid.com/softwares/cpu-z.html CPU-Z] on Windows.<br /> * If you do not have access to Unix-ish command line (Cygwin is fine), or you don't feel comfortable compiling C/C++ code, you'll need either apgsearch 1.x (regular or hacked) or apgluxe 5.x (precompiled).<br /> * If you want to search other rules or symmetries besides [[B3/S23]]/C1 using apgluxe 5.x, you'll need the command line version rather than the precompiled version.<br /> * If you want to search [[Generations]] or [[Larger than Life]] rules, you'll need the command line version of apgluxe 5.x. (Note that since this requires a reasonably modern x86_64 CPU, you cannot currently search such rules if you don't have a sufficiently modern computer.)<br /> <br /> The older Python version 0.x is deprecated, as are apgnano (2.x) and apgmera (3.x) since they are superseded by apgluxe 5.x.<br /> <br /> === Soup-searching with apgsearch 1.x ===<br /> <br /> You will need:<br /> <br /> # [[Golly]]<br /> # [https://www.python.org/ Python] 2.7 (currently 2.7.13)<br /> # [https://catagolue.hatsya.com/binaries/apgsearch-2015-05-25.py apgsearch 1.1].<br /> <br /> If you want your contributions attributed to you, be sure to generate a Paoysha256 key (see above).<br /> <br /> Install Golly and Python 2.7 if you haven't yet. Newer Python versions (3.x) will NOT work! Be sure to use a 32-bit Python if you're using a 32-bit Golly, and a 64-bit Python if you're using a 64-bit Golly. Also note that Python 2.7.11 is incompatible with Golly.<br /> <br /> To install apgsearch, copy it into Golly's scripts/python directory. You may also want to edit the apgsearch script to default to using your Payosha256 key.<br /> <br /> To search, simply start Golly and click on the script to run it.<br /> <br /> Local logging is enabled by default; on Windows, you'll find logs in &lt;tt&gt;%APPDATA%\Golly\apgsearch\progress&lt;/tt&gt;. On Linux/Unix-like systems, it's likely &lt;tt&gt;~/.golly/apgsearch/progress&lt;/tt&gt; (or something similar). Logs are named e.g.<br /> &lt;tt&gt;search_b1838fd357f0b003f985c20d19fd664a.txt&lt;/tt&gt;.<br /> <br /> If you want to search a different rule, it's recommended that you quit and restart Golly; this is due to Python scripts not releasing all their memory when they finish.&lt;ref name=&quot;post47545&quot; /&gt;<br /> <br /> ==== Soup-searching non-totalistic rules ====<br /> <br /> You will need:<br /> <br /> # Golly and Python (as above)<br /> # praosylen's [https://www.conwaylife.com/forums/viewtopic.php?p=50149#p50149 hacked version of apgsearch] (currently at version 0.54+0.32i)<br /> # If you're using a Golly version prior to 2.8, wildmyron's [https://www.conwaylife.com/forums/viewtopic.php?p=25983#p25983 isotropic-rule.py].<br /> <br /> Install everything the same way as above.<br /> <br /> To search:<br /> <br /> # Choose a rule.<br /> # Run the hacked apgsearch by clicking on it; when prompted, enter the rule like this: &quot;B3/S234c&quot;.<br /> <br /> As with semi-totalistic rules, it is recommended that you quit and restart Golly if you want to search a different rule.&lt;ref name=&quot;post47545&quot; /&gt;<br /> <br /> === Soup-searching using apgluxe 5.x ===<br /> <br /> ====Unix command line====<br /> <br /> You will need:<br /> <br /> # A computer with an x86_64 CPU and a 64-bit OS.<br /> # A Unix-ish command line ([https://cygwin.com/ Cygwin] works if you're on Windows, and WSL for Windows 10).<br /> # A C/C++ compiler and make tool.<br /> # Python (apgluxe is compatible with both Python 2 or Python 3).<br /> # [https://gitlab.com/apgoucher/apgmera apgluxe 5.x] (current version: 5.2-ll2.4.1).<br /> <br /> If you're on Windows, install the 64-bit version (!) of Cygwin (any mirror works fine). Be sure to select the &quot;gcc-g++&quot;, &quot;git&quot;, &quot;make&quot; and &quot;python&quot; packages. Include their dependencies when asked to.<br /> <br /> To download the repository and compile apgluxe, run the following commands:<br /> <br /> $ git clone https://gitlab.com/apgoucher/apgmera.git<br /> $ cd apgmera<br /> $ ./recompile.sh<br /> <br /> The recompilation script will automatically pull in the latest [[lifelib]] version [https://gitlab.com/apgoucher/lifelib from Gitlab] if necessary. The resulting binary will support SSE2, AVX1 and AVX2, and use the best instruction set your machine supports. You must recompile the program each time you want to change the rule or symmetry; it may be advisable to keep different binaries on hand.<br /> <br /> To execute apgluxe, execute it from the command line like so:<br /> <br /> $ ./apgluxe -n 10000000 -k my_payosha256_key<br /> <br /> When running apgluxe, supply the options you want and note that local logging is DISABLED BY DEFAULT and must be enabled by passing &quot;-L 1&quot; on the command line; again, the &quot;1&quot; is mandatory. Logs are named according to the current Unix timestamp and seed root, such as &lt;tt&gt;log.1457882181.m_cDbsaQswZHeL.txt&lt;/tt&gt;. To perform an offline test without uploading to Catagolue, include &quot;-t 1&quot;.<br /> <br /> apgluxe also allows you to parallelise the search over several cores, essentially creating multiple instances of apgsearch which all contribute to the same haul, significantly speeding up the search. You can enable this by including, for instance, &quot;-p 4&quot;, to parallelise over 4 cores. However, this has been found to not work with Cygwin, so you'll have to open multiple separate command prompts and run a non-parallelised search with the same parameters on each of them in that case.<br /> <br /> You may want to create a wrapper script to call apgluxe with your desired options. You can also pass rulestring and symmetry options; if these do not match those currently compiled into the current executable, the recompilation script will be invoked automatically.<br /> <br /> $ ./apgluxe -k my_payosha256_key --rule b38s23 --symmetry C1<br /> <br /> You can fetch upstream updates to apgluxe by running:<br /> <br /> $ ./recompile.sh --update<br /> <br /> This will restore the lifelib working directory to b3s23, and pull any updates from the remote repository.<br /> <br /> ====Precompiled version====<br /> <br /> The [https://catagolue.hatsya.com/apgsearch &quot;apgsearch&quot; page] on Catagolue contains a link to download a precompiled .exe of the latest version of apgluxe, compiled to search [[B3/S23]]/C1. As of January 2021, precompiled versions of certain other symmetries have also been posted [https://www.conwaylife.com/forums/viewtopic.php?p=118544#p118544 on the forums]. If you want to search a different rule or symmetry, you'll need the Unix command line version.<br /> <br /> You will need:<br /> <br /> # A computer with an x86_64 CPU and a 64-bit OS.<br /> <br /> When you run the executable, you'll be asked to provide search parameters in the following order:<br /> <br /> $ Please enter number of soups per haul (minimum 10000000):<br /> $ Please enter payosha256 key (e.g. '#anon'):<br /> $ Please enter number of CPU threads to use (e.g. 4):<br /> <br /> For each of these, type in a value and press Enter and the search will begin afterwards. You may notice that various pieces of text contain odd non-ASCII characters; these are intended to be color codes but they aren't compatible with the default Windows command prompt, so they just appear as plain text:<br /> <br /> $ Linear-growth pattern detected: �[1;32myl144_1_16_afb5f3db909e60548f086e22ee3353ac�[0m<br /> <br /> ==When the search is running==<br /> <br /> You'll receive updates about the progress of the search every 10 seconds (when non-parallelised) or every 100,000 soups (when parallelised). Occasionally, you'll also see the [[apgcode]]s of rare oscillators and spaceships (B3/S23 only) as well as infinite growth patterns (in all rules) that appear in your search.<br /> <br /> There are two ways to stop a soup search. In the Unix version, you can press Q to immediately submit the current haul to Catagolue and end the search. For both the Unix version and the precompiled version, you can also press Ctrl+C to stop it, but this does not upload the results to Catagolue and instead throws away the haul.<br /> <br /> == Caveats ==<br /> <br /> === The executive summary of the executive summary ===<br /> <br /> [[File:Slowdowncowboy.jpg|thumb|640px|center|Slow down cowboy!]]<br /> <br /> === The executive summary ===<br /> <br /> # Run test hauls.<br /> # Mind Catagolue's haul requirements (size and number of soups/objects).<br /> # Be careful with rules combining high search speed and large hauls.<br /> # When in doubt, don't submit hauls too often to help keep hosting costs down.<br /> # Don't test client modifications on regular symmetries.<br /> # Don't break Catagolue.<br /> <br /> === The nitty-gritty ===<br /> <br /> Catagolue imposes certain requirements on submitted hauls: they must contain at least 10,000 soups or 250,000 objects (or both); and they must not exceed a total size of 1 MiB.<br /> <br /> In order to avoid running afoul of these limits, as well as to gauge the speed with which your rule of choice can be searched, try submitting a small test haul first: 10,000 soups works well for apgsearch 1.x, 1 million soups is a good choice for apgluxe 5.x. Take note of how long it takes to submit your test haul, and how big the resulting log is.<br /> <br /> [[File:Flaming computer - &quot;don't panic&quot; (4549185468).jpg|right|320px]]<br /> If your rule takes too long to search, try fewer soups. (If you're already at the server-imposed minimum of 10,000 and your rule doesn't have enough objects per soup... tough luck.) If your test haul finished too quickly, try a bigger test. This'll also help you get a feel for how quickly hauls grow as you add soups.<br /> <br /> You may find that with some rules (such as B/S012345678), even the smallest possible haul will exceed the 1 MiB limit. These rules are not soup-searchable, at least not on Catagolue; again, this is tough luck.<br /> <br /> There are also some rules that combine fast searching and big hauls. [[Day &amp; Night]] (B3678/S34678) is a notable example; a C1 haul of 8 million soups may take roughly 5 minutes (give or take a few, depending on how your computer's speed and CPU load) to finish using apgluxe 5.x, and will weigh in at just under one megabyte. Keep in mind that hauls must be processed server-side, so when searching rules like these, don't run too many searcher instances at once. If Catagolue is struggling, e.g. by producing &lt;tt&gt;500 Internal Server Error&lt;/tt&gt;s or by failing to process all hauls submitted, cut down on the number of searchers. If you're already running just one, write a wrapper script to search something else (like [[Conway's Game of Life|Conway Life]]) in between hauls to give Catagolue time to cool down. This also applies if you're contributing to such a rule if another user is already submitting hauls for it.<br /> <br /> The above also applies to other rules. Catagolue needs to carry out a datastore operation for each type of object in a haul, and datastore operations cost money. Thus, if you have the choice between submitting a haul of 200 distinct objects every 30 seconds, and submitting a haul of 1,000 distinct objects every 30 minutes, then absent a compelling reason to choose the former... choose the latter. You should not generally upload more than one haul every 20 minutes from a single machine.&lt;ref name=&quot;post49726&quot; /&gt;<br /> <br /> A word on server-side haul processing: new hauls are commissioned to the census every 12 minutes. This process usually takes only a few minutes to finish; if it does not finish before the next commissioning process is started, 12 minutes later, it will be one of &lt;em&gt;those&lt;/em&gt; days and [[Adam P. Goucher]] will not be happy.<br /> <br /> All this said, ''most'' rules are fine to search and do not need any special considerations or attention.<br /> <br /> === Testing client modifications ===<br /> <br /> Modifications to the client program should be tested with a special &quot;test&quot; symmetry, rather than one of the &quot;production&quot; symmetries such as C1; by convention, all such symmetries should be suffixed &quot;_Test&quot; (case-insensitive).<br /> <br /> If a client program is modified to allow additional rules, symmetries, or topologies, then it should be done in a way that adheres to the [[Catagolue naming conventions]].<br /> <br /> Take care to disable haul verification if you're modifying the client, too, or your modified client may wrongly reject good hauls.<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post47545&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Golly 3.0b1<br /> |p = 47545<br /> |author = Andrew Trevorrow<br /> |date = July 30, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post49726&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: catagolue is down<br /> |p = 49726<br /> |author = Adam P. Goucher<br /> |date = August 23, 2017<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> == Support threads ==<br /> <br /> {{LinkForumThread|f=7|t=1630|title=apgsearch v1.0}}<br /> {{LinkForumThread|f=9|t=1480|title=Hacking apgsearch}}<br /> {{LinkForumThread|f=7|t=1784|title=apgsearch 2.2}}<br /> {{LinkForumThread|f=7|t=2099|title=apgsearch 3.1}}<br /> {{LinkForumThread|f=7|t=3049|title=apgsearch 4.0}}<br /> {{LinkForumThread|f=7|t=3911|title=apgsearch 5.0}}<br /> <br /> == External links ==<br /> {{LinkForumThread|f=7|t=3018|title=Catagolue quota}}<br /> <br /> {{Tutorial}}<br /> {{CatagolueNavbox}}<br /> {{GollyNavbox}}</div>

Praosylen https://conwaylife.com/w/index.php?title=OCA:Brian%27s_Brain&diff=86256 2021-12-20T21:01:39Z

<p>Praosylen: </p> <hr /> <div>{{stub}}<br /> {{Rule<br /> |name = Brian's Brain<br /> |imgname = briansbrain<br /> |char = Chaotic<br /> |b = 2<br /> |s =<br /> |g = 3<br /> |animated = true<br /> }}<br /> '''Brian's Brain''' (also called '''BB''', or simply '''Brain''') is a [[cellular automaton]] and one of the best-known [[Generations]] rules. It is similar to [[Seeds]], but with an additional state; dead cells get born if they have exactly two live neighbors, and live cells never survive, but instead of dying immediately, they advance to a third state, not considered &quot;live&quot; for the purpose of cell birth, before dying. The rule was first considered by [[Brian Silverman]] in the mid-1990s.<br /> <br /> Brian's Brain can be thought of as emulating a neural network, with state 0 representing &quot;ready&quot;, state 1 representing &quot;firing&quot;, and state 2 representing &quot;refractory&quot;; the rule can then be stated as &quot;''only a cell in the ready state may fire and it will only do so if exactly 2 of its neighbors are firing. After firing for one step, a cell spends a step in the refractory state before regaining readiness''&quot;.<br /> <br /> On November 12, {{year|2020}}, [[Yoel Matveyev]] published a [[Rule 110]] [[unit cell]] for Brian's Brain, proving the rule Turing-complete &lt;ref name=&quot;post110762&quot; /&gt;. The unit's design follows the model of the Rule 110 unit cell constructed by Matveyev for his rule [[Fireworld]] and does not contain [[XOR]] gates. Instead, it uses [[AND-NOT]] gates and [[toggle flip-flop|toggle flip-flops]].<br /> <br /> ==Patterns==<br /> {{EmbedViewer<br /> |pname = briansbrainp3<br /> |viewerconfig = #C [[ THEME Generations AUTOSTART GPS 3 THUMBSIZE 4 ]]<br /> |caption = A period-3 oscillator&lt;br&gt;<br /> |position = left<br /> }}<br /> Usually, a [[soup|random starting configuration]] in Brian's Brain will explode, emitting many [[spaceship]]s, [[rake]]s, [[breeder]]s, [[puffer]]s and [[wavestretcher]]s.<br /> <br /> The first [[oscillator]]s were discovered by [[Michael Sweney]] in December 1999. No period-2 oscillators exist (as in any Generations rule with more than two states); an example of a period-3 oscillator is shown to the left. Period-4 oscillators are also known to exist&lt;ref name=&quot;post94517&quot; /&gt;. Larger period oscillators with periods dividable by 3 can be constructed by gun reactions. Some periodic [[agar]]s and [[wick]]s have also been constructed in Brian's Brain. <br /> <br /> A group of [[laser]]s shooting the smallest [[photon]] were discovered by [[Giles Edkins]] no later than May {{year|2001}}, based on which [[signal]] [[reflector]]s, duplicator, AND gate, OR gate and XOR gate have been explicitly constructed&lt;ref name=&quot;post96696&quot; /&gt;, as well as gun constructions shooting various other [[spaceship]]s and [[rake]]s at different periods. Brian's Brain is [[Universality|Turing complete]], as demonstrated by an infinitely extendable tiling of [[Rule 110]] [[unit cell|units]].&lt;ref name=&quot;post110762&quot; /&gt; The tiling also demonstrates a usage of gun period doublers, flip-flops, arbitrary length memory units and custom spaceship [[flotilla]] generators used for Rule 110's output display. <br /> <br /> On December 31, {{year|2020}}, [[Rocknlol]] found a [[c/5 orthogonal]] spaceship in Brian's Brain - the first orthogonal non-light-speed spaceship in this rule.&lt;ref name=&quot;post117513&quot; /&gt;<br /> <br /> A collection of patterns in this rule can be found in [[Mirek's Cellebration]].<br /> <br /> ==Variants==<br /> <br /> {{stub}}<br /> '''Wire2''' is a variant of Brian's Brain running inside wires. It is invented by Blah.<br /> '''Wilfred''' is a variant of Brian's Brain with an additional indestructible state. It is invented by Brian Prentice.<br /> '''Wire3''' is another variant of Brian's Brain with an additional indestructible state, inspired by Wilfred and [[Fireworld2]]. It is invented by Yoel Matveyev.<br /> <br /> ===Rules===<br /> <br /> According to the [[Rule table]]&lt;ref name=&quot;post109866&quot;/&gt;, cells behave as follows:<br /> <br /> A state-1 cell is born if:<br /> <br /> * It touches exactly 2 state-1 neighbors. (The same as Brian's Brain)<br /> * ''OR'' It touches exactly 1 state-1 neighbor and exactly 3 indestructible state-3 neighbors.<br /> <br /> ===Patterns===<br /> All oscillators, spaceships and any other patterns of Brian's Brain also works in [[Wire2]], [[Wilfred]] and [[Wire3]].<br /> <br /> [[Wire2]] runs Brian Brain patterns inside the 3-state [[wires]]. Each wire cell may be empty, contain a live cell or a State 3 cell, much like electrons and electron tails in [[Wireworld]]. Patterns running inside an infinite 2D wire in Wire2 would evolve completely identically to plain Brian's Brain.<br /> <br /> Due to the additional indestructible state, Wilfred also features a [[wire]] that can carry signals. Unlike Wire2, signals run on the wires' surface. Thus. Wilfred without any wires is completely identical to Brian's Brain. (citation needed)<br /> <br /> Wire3, inspired by Wilfred, uses the same concept, but has different wire interaction rules based on [[Fireworld2]], which make logic construction very easy. Like Wilfred, Wire3 without any wires is identical to Brian's Brain &lt;ref name=&quot;post117212&quot; /&gt;.<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post94517&quot;&gt;{{LinkForumThread<br /> |p = 94517<br /> |format = ref<br /> |title = Re: Brian's Brain<br /> |author = praosylen<br /> |date = April 16, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post96696&quot;&gt;{{LinkForumThread<br /> |p = 96696<br /> |format = ref<br /> |title = Re: Turing - complete Generations rules<br /> |author = FWKnightship<br /> |date = May 12, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post110762&quot;&gt;{{LinkForumThread<br /> |p = 110762<br /> |format = ref<br /> |title = Re: Turing - complete Generations rules<br /> |author = Yoel Matveyev<br /> |date = November 15, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post117513&quot;&gt;{{LinkForumThread<br /> |p = 117513<br /> |format = ref<br /> |title = Re: Brian's Brain<br /> |author = Rocknlol<br /> |date = December 31, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post109866&quot;&gt;{{LinkForumThread<br /> |p = 109866<br /> |format = ref<br /> |title = Re: Wilfred<br /> |author = Yoel Matveyev<br /> |date = November 9, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post117212&quot;&gt;{{LinkForumThread<br /> |p = 117212<br /> |format = ref<br /> |title = Re: Wire3<br /> |author = Yoel Matveyev<br /> |date = December 29, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkForumThread|f=11|t=351|title=Brian's Brain}}<br /> {{LinkForumThread|f=11|t=3380|title=Wire2: A Superset of Brian's Brain}}<br /> {{LinkForumThread|f=11|t=4756|title=Wilfred}}<br /> {{LinkForumThread|f=11|t=4963|title=Wire3}}<br /> {{LinkCatagolueRule|g3b2s}}<br /> {{LinkMirek|rullex_gene.html#Brian's%20Brain|title=MCell built-in Generations rules: Brian's Brain}}<br /> {{LinkWikipedia|Brian's_Brain|title=Brian's Brain}}</div>

Praosylen https://conwaylife.com/w/index.php?title=User:Praosylen/Testing&diff=86255 2021-12-20T20:59:31Z

<p>Praosylen: lmr2o</p> <hr /> <div>#REDIRECT [[User:A_for_awesome/Testing]]<br /> &lt;!-- I don't know what happened here, but I like the circular redirect so much I'm keeping it unless somebody else decides to delete it --&gt;</div>

Praosylen https://conwaylife.com/w/index.php?title=User:77topaz/Forum_handles_table&diff=86254 2021-12-20T20:56:41Z

<p>Praosylen: add myself back</p> <hr /> <div>To make referencing patterns and other discoveries easier, I've decided to start compiling a table noting which forum handle corresponds to which real name used on this wiki. Feel free to add to this table if you want.<br /> <br /> {| class=&quot;wikitable sortable&quot;<br /> !Preferred name for credits<br /> !Forum handle<br /> !Discord handle<br /> !Discord nickname<br /> !LifeWiki username<br /> !Catagolue handle<br /> |-<br /> |[[Adam P. Goucher]]<br /> |calcyman<br /> |apgoucher<br /> |apgoucher<br /> |[[User:Calcyman|Calcyman]]<br /> |apgoucher@gmx.com<br /> |-<br /> |[[Dylan Chen]]<br /> |Dylan Chen<br /> |inspirehep<br /> |inspirehep<br /> |[[User:Dylan Chen|Dylan Chen]]<br /> |inspirehep@gmail.com{{refn|group=note|also Cloud_Bach}}<br /> |-<br /> |[[J.H. Yu]]<br /> |yujh<br /> |yujhtheyujh<br /> |!𝔶𝔲𝔧𝔥𝔱𝔥𝔢𝔶𝔲𝔧𝔥 the caterererer&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Yujh|Yujh]]<br /> |Yujh{{refn|group=note|also Yujh2 or Hunting (except for most of b2n3s23-q/C1)}}<br /> |-<br /> |<br /> |Cyclotrons<br /> |Cyclotrons<br /> |Cyclotrons<br /> |[[User:Cyclotrons|Cyclotrons]]<br /> |Cyclotrons<br /> |-<br /> |<br /> |dani<br /> |danielle{{refn|group=note|formerly moose}}<br /> |danielle&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot;&gt;changes often&lt;/ref&gt;<br /> |[[User:Dani|Dani]]<br /> |dani<br /> |-<br /> |[[Dave Greene]]<br /> |dvgrn<br /> |dvgrn<br /> |dvgrn<br /> |[[User:Dvgrn|Dvgrn]]<br /> |-<br /> |[[David Raucci]]<br /> |hotdogPi<br /> |hotdogPi<br /> |hotdogPi<br /> |[[User:HotdogPi|HotdogPi]]<br /> |-<br /> |[[Dongook Lee]]<br /> |Scorbie<br /> |NightlyHerb&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |Scorbie<br /> |[[User:Scorbie|Scorbie]]<br /> |-<br /> |[[Evin]]<br /> |EvinZL<br /> |Wait, What?<br /> |Caterest&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Evin|Evin]]<br /> |-<br /> |<br /> |Ian07<br /> |Ian07<br /> |Ian07<br /> |[[User:Ian07|Ian07]]<br /> |Ian07<br /> |-<br /> |[[Ignacy Jackl]]<br /> |IgnacyJ<br /> |IgnacyJ<br /> |IgnacyJ<br /> |[[User:IgnacyJ|IgnacyJ]]<br /> |IgnacyJ<br /> |-<br /> |[[Ivan Fomichev]]<br /> |codeholic<br /> |codeholic<br /> |codeholic<br /> |[[User:Codeholic|Codeholic]]<br /> |-<br /> |[[Jacob]]<br /> |moonsheep<br /> |<br /> |<br /> |[[User:Moonsheep|Moonsheep]]<br /> |-<br /> |[[Jeremy Tan]]<br /> |Freywa<br /> |Parcly Taxel<br /> |Parcly Taxel<br /> |[[User:Freywa|Freywa]]<br /> |-<br /> |[[John Winston Garth]]<br /> |winston<br /> |winston<br /> |Christristiax<br /> |<br /> |winstax<br /> |-<br /> |[[Kalan Warusa]]<br /> |ihatecorderships<br /> |Ball Lightning<br /> |Ihatecorderships<br /> |[[User:Ihatecorderships|Ihatecorderships]]<br /> |-<br /> |[[Matthias Merzenich]]<br /> |Sokwe<br /> |Sokwe<br /> |Matthias Merzenich<br /> |[[User:Sokwe|Sokwe]]<br /> |-<br /> |<br /> |Moosey<br /> |Moooosey<br /> |ought to do CA again&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Moosey|Moosey]]<br /> |Moosey<br /> |-<br /> |[[Connor Steppie]]<br /> |muzik<br /> |lordmuzik848<br /> |Партин Моляков<br /> |[[User:AwesoMan3000|AwesoMan3000]]<br /> |muzikbike<br /> |-<br /> |<br /> |wwei47{{refn|group=note|formerly wwei23}}<br /> |xp3_xggk171z8e82<br /> |Self-labeled synthesis &quot;expert&quot;&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Prime Raptor21|Prime Raptor21]]{{refn|group=note|formerly Wwei23}}<br /> |ilovecoding23@gmail.com<br /> |-<br /> |[[Alex Greason]]<br /> |AGreason<br /> |Exa<br /> |Exa<br /> |-<br /> |<br /> |bubblegum<br /> |sonata «pathétique»<br /> |sonata<br /> |[[User:Bubblegum|Bubblegum]]<br /> |-<br /> |<br /> |cvojan<br /> |cq<br /> |$$$<br /> |[[User:Cvojan|Cvojan]]<br /> |-<br /> |<br /> |goldenratio<br /> |phiisnotcoolanymore&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |goldenratio&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Goldenratio|Goldenratio]]<br /> |onepoint618<br /> |-<br /> |<br /> |iNoMed<br /> |iNoMed<br /> |iNoMed<br /> |[[User:INoMed|INoMed]]<br /> |-<br /> |[[James Pascua]]<br /> |JP21<br /> |Jam11<br /> |<br /> |[[User:JP21|JP21]]<br /> |-<br /> |[[Mark Niemiec]]<br /> |mniemiec<br /> |StrongAxe<br /> |Mark D. Niemiec<br /> |-<br /> |<br /> |MathAndCode<br /> |Danny2197<br /> |MathAndCode<br /> |[[User:MathAndCode|MathAndCode]]<br /> |-<br /> |[[Nico Brown]]<br /> |glider_rider<br /> |turingcomplete30<br /> |Nico (glider_rider)<br /> |-<br /> |[[Nikola K.]]<br /> |andrewph33<br /> |andrewthediscorder<br /> |andrewthediscorder<br /> |-<br /> |[[Oscar Cunningham]]<br /> |Macbi<br /> |Macbi<br /> |Macbi<br /> |-<br /> |[[Pavel Grankovskiy]]<br /> |Pavgran<br /> |Pavgran<br /> |Pavgran<br /> |-<br /> |<br /> |Saka<br /> |Droseraman<br /> |Saka<br /> |[[User:Saka|Saka]]<br /> |-<br /> |[[Tanner Jacobi]]<br /> |Kazyan<br /> |Kazyan<br /> |Kazyan<br /> |-<br /> |<br /> |praosylen{{refn|group=note|formerly A for Awesome}}<br /> |praosylen<br /> |&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |[[User:Praosylen|Praosylen]]<br /> |0x6ef79077fbb<br /> |-<br /> |83bismuth38<br /> |Dui Mauris Football<br /> |gbrldvs&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |-<br /> |<br /> |AforAmpere<br /> |AforAmpere<br /> |Ampere<br /> |-<br /> |[[Andrew J. Wade]]<br /> |mscibing<br /> |mscibing<br /> |-<br /> |[[Arie Paap]]<br /> |wildmyron<br /> |wildmyron<br /> |-<br /> |<br /> |Blinkerspawn<br /> |AxiomaticSystem<br /> |Blinkerspawn<br /> |-<br /> |[[Brett Berger]]<br /> |biggiemac<br /> |biggiemac42<br /> |-<br /> |<br /> |M. I. Wright<br /> |caramel&lt;ref name=&quot;wright&quot; group=&quot;note&quot;&gt;formerly Wright&lt;/ref&gt;<br /> |caramel&lt;ref name=&quot;wright&quot; group=&quot;note&quot; /&gt;<br /> |-<br /> |<br /> |cgoler2<br /> |cgoler2<br /> |just red<br /> |[[User:Cgoler2|Cgoler2]]<br /> |-<br /> |<br /> |gameoflifemaniac<br /> |Illuminati65<br /> |Illuminati65<br /> |-<br /> |[[John Goodman]]<br /> |John Goodman<br /> |<br /> |<br /> |<br /> |John Goodman<br /> |-<br /> |<br /> |KittyTac<br /> |KittyTac<br /> |FOOF + ClF3<br /> |-<br /> |[[Mateusz Naściszewski]]<br /> |<br /> |Mateon1<br /> |Mateon1<br /> |-<br /> |<br /> |Redstoneboi<br /> |Redstoneboi<br /> |RS BOB<br /> |-<br /> |[[Rob Liston]]<br /> |rliston<br /> |<br /> |<br /> |<br /> |rliston@gmail.com<br /> |-<br /> |<br /> |Sarp<br /> |Sarperen<br /> |Sarp<br /> |-<br /> |<br /> |_zM<br /> |_zM<br /> |bird&lt;ref name=&quot;changes_often&quot; group=&quot;note&quot; /&gt;<br /> |-<br /> |[[Alexey Nigin]]<br /> |Alexey_Nigin<br /> |-<br /> |[[Andrzej Okrasinski]]<br /> |ohennel<br /> |-<br /> |[[Avery Feingold]]<br /> |NimbleRogue<br /> |-<br /> |[[Chris Cain]]<br /> |chris_c<br /> |-<br /> |[[Chris Rowett]]<br /> |rowett<br /> |-<br /> |[[David Bell]]<br /> |dbell<br /> |-<br /> |[[David S. Miller]]<br /> |dsmiller<br /> |-<br /> |[[Dean Hickerson]]<br /> |Dean Hickerson<br /> |-<br /> |[[Ed Pegg Jr]]<br /> |EdPeggJr<br /> |-<br /> |[[Emerson J. Perkins]]<br /> |knightlife<br /> |-<br /> |[[Frank Everdij]]<br /> |dexter1<br /> |-<br /> |[[Hartmut Holzwart]]<br /> |HartmutHolzwart<br /> |-<br /> |[[Heinrich Koenig]]<br /> |hkoenig<br /> |-<br /> |[[Jason Summers]]<br /> |Jason Summers<br /> |-<br /> |[[Josh Ball]]<br /> |velcrorex<br /> |-<br /> |[[Karel Suhajda]]<br /> |Kasuha<br /> |-<br /> |[[Keith Amling]]<br /> |amling<br /> |-<br /> |[[Kiran Linsuain]]<br /> |Kiran<br /> |-<br /> |[[Lewis Patterson]]<br /> |Lewis<br /> |-<br /> |[[Louis-François Handfield]]<br /> |Jormungant<br /> |-<br /> |[[Luka Okanishi]]<br /> |AbhpzTa<br /> |-<br /> |[[Martin Grant]]<br /> |Extrementhusiast<br /> |-<br /> |[[Matti Ward]]<br /> |mattiward<br /> |-<br /> |[[Michael Simkin]]<br /> |simsim314<br /> |-<br /> |[[Mike Playle]]<br /> |MikeP<br /> |-<br /> |[[Nick Gotts]]<br /> |NickGotts<br /> |-<br /> |[[Park Shinhwan]]<br /> |Dannyu NDos/David<br /> |-<br /> |[[Paul Callahan]]<br /> |pcallahan<br /> |-<br /> |[[Paul Chapman]]<br /> |igblan<br /> |-<br /> |[[Paul Tooke]]<br /> |Paul Tooke<br /> |-<br /> |[[Rich Holmes]]<br /> |Rich Holmes<br /> |-<br /> |[[Richard Schank]]<br /> |flipper77<br /> |-<br /> |[[Sergey Petrov]]<br /> |Guam<br /> |-<br /> |[[Shannon Omick]]<br /> |skomick<br /> |-<br /> |[[Scot Ellison]]<br /> |scote<br /> |-<br /> |[[Simon Ekström]]<br /> |simeks<br /> |-<br /> |[[Stephen Silver]]<br /> |SAS<br /> |-<br /> |[[Szymon Bartosiewicz]]<br /> |lifeisawesome<br /> |-<br /> |[[Tim Coe]]<br /> |moebius<br /> |-<br /> |[[Tim Hutton]]<br /> |Tim Hutton<br /> |-<br /> |[[Tomas Rokicki]]<br /> |rokicki<br /> |-<br /> |[[Yoel Matveyev]]<br /> |Yoel<br /> |-<br /> |<br /> |C28<br /> |<br /> |<br /> |[[C28]]<br /> |}<br /> ==Notes==<br /> &lt;references group=&quot;note&quot; /&gt;</div>

Praosylen https://conwaylife.com/w/index.php?title=Rule:Oddball&diff=86248 2021-12-20T20:45:37Z

<p>Praosylen: Might as well I suppose. How could this go wrong, I wonder... I guess we may find out</p> <hr /> <div>@RULE Oddball<br /> <br /> https://conwaylife.com/forums/viewtopic.php?p=29121#p30496<br /> <br /> #A response to praosylen's challenge: construct a cellular automaton for which oscillators of all odd periods are possible, but for which no even-period oscillators exist.<br /> #C, E, W, C'<br /> @TREE<br /> <br /> num_states=4<br /> num_neighbors=4<br /> num_nodes=14<br /> 1 0 1 1 1<br /> 2 0 0 0 0<br /> 1 0 1 1 2<br /> 2 2 2 2 2<br /> 1 0 3 1 1<br /> 2 4 4 4 4<br /> 3 1 3 1 5<br /> 3 1 1 1 5<br /> 1 0 2 1 1<br /> 2 8 8 8 8<br /> 3 5 9 1 1<br /> 3 1 1 1 1<br /> 4 6 7 10 11<br /> 5 12 12 12 12<br /> <br /> @TABLE<br /> n_states:4<br /> neighborhood:oneDimensional<br /> symmetries:none<br /> var a = {0,1,2,3}<br /> var b = a<br /> 1,2,0,3 #01210 03110<br /> 1,1,3,3 #03110 01310<br /> 1,0,3,3 #01310 01130<br /> 3,0,1,2 #01130 01120<br /> 1,2,1,2 #01120 01210<br /> 2,a,b,1<br /> 3,a,b,1</div>

Praosylen https://conwaylife.com/w/index.php?title=Minor_static_symmetry&diff=86246 2021-12-20T20:43:35Z

<p>Praosylen: </p> <hr /> <div>This page documents '''minor static symmetries''', a subclass of [[Static symmetry|static symmetries]] which concern significant attributes conserved by any qualifying pattern in a given rule, or group thereof, which are not rotational or reflectional geometric symmetries.<br /> <br /> == Skew symmetry ==<br /> A pattern which exhibits symmetry only after its constituent congruent pieces are offset by certain amounts in one or both orthogonal directions is said to exhibit ''skew symmetry''.<br /> <br /> It is not currently known if any rules support patterns with non-trivial skew symmetry, outside of trivial cases. However, skew symmetry can be combined with gutter symmetry (see section below) to form ''skew-gutter symmetry''.<br /> <br /> == Gutter symmetry ==<br /> &lt;div class=&quot;mw-collapsible mw-collapsed&quot;&gt;<br /> Gutter symmetries are distinguished from non-gutter symmetries by the existence of an empty lane of cells &amp;ndash; referred to as a [[gutter]] &amp;ndash; separating the congruent pieces making up overall pattern.<br /> <br /> A pattern that exhibits gutter symmetry only after its pieces are skewed in the above sense is said to exhibit skew-gutter symmetry.<br /> <br /> Trivially, 0-dimensional gutters can also be considered for sufficiently symmetric patterns, but these are not interesting.<br /> <br /> === On a square grid ===<br /> Gutter and skewgutter symmetries are known to exist for both orthogonal and diagonal lines of symmetry. Click on &quot;Expand&quot; to the right to view a list of them.<br /> <br /> It is not known if this list is exhaustive.<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 16, y = 33, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$16o<br /> 2$16o$o14bo$o14bo$o3b2o9bo$o2b4o8bo$o2b4o8bo$o2b10o2bo$o14bo$o14bo$o3b<br /> 2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b2o3bo$o14bo$o14bo$<br /> 16o!<br /> |width = 160<br /> |height = 320<br /> |caption = Orthogonal gutter symmetry&lt;br&gt;D2_+1_gO1S0}}<br /> | {{Sym-demo<br /> |rle = x = 17, y = 33, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$16o<br /> 2$b16o$bo14bo$bo14bo$bo3b2o9bo$bo2b4o8bo$bo2b4o8bo$bo2b10o2bo$bo14bo$b<br /> o14bo$bo3b2o4b2o3bo$bo2bo2bo2bo2bo2bo$bo2bo2bo2bo2bo2bo$bo3b2o4b2o3bo$<br /> bo14bo$bo14bo$b16o!<br /> |width = 160<br /> |height = 320<br /> |caption = Orthogonal skewgutter symmetry&lt;br&gt;D2_+1_gO1S1}}<br /> | {{Sym-demo<br /> |rle = x = 18, y = 33, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$16o<br /> 2$2b16o$2bo14bo$2bo14bo$2bo3b2o9bo$2bo2b4o8bo$2bo2b4o8bo$2bo2b10o2bo$<br /> 2bo14bo$2bo14bo$2bo3b2o4b2o3bo$2bo2bo2bo2bo2bo2bo$2bo2bo2bo2bo2bo2bo$<br /> 2bo3b2o4b2o3bo$2bo14bo$2bo14bo$2b16o!<br /> |width = 160<br /> |height = 320<br /> |caption = Orthogonal double skewgutter symmetry&lt;ref name=&quot;post66043&quot; /&gt;&lt;br&gt;D2_+1_gO1S2}}<br /> |}<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 33, rule = B/S012345678<br /> 31o$o14bo14bo$o14bo14bo$o3b2o4b2o3bo3b2o4b2o3bo$o2bo2bo2bo2bo2bo2bo2bo<br /> 2bo2bo2bo$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$o3b2o4b2o3bo3b2o4b2o3bo$o14b<br /> o14bo$o14bo14bo$o2b10o2bo2b10o2bo$o2b4o8bo8b4o2bo$o2b4o8bo8b4o2bo$o3b<br /> 2o9bo9b2o3bo$o14bo14bo$o14bo14bo$31o2$31o$o14bo14bo$o14bo14bo$o3b2o9bo<br /> 9b2o3bo$o2b4o8bo8b4o2bo$o2b4o8bo8b4o2bo$o2b10o2bo2b10o2bo$o14bo14bo$o<br /> 14bo14bo$o3b2o4b2o3bo3b2o4b2o3bo$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$o2bo<br /> 2bo2bo2bo2bo2bo2bo2bo2bo2bo$o3b2o4b2o3bo3b2o4b2o3bo$o14bo14bo$o14bo14b<br /> o$31o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+1 with orthogonal gutter symmetry&lt;br&gt;D4_+1_gO1S0}}<br /> | {{Sym-demo<br /> |rle = x = 33, y = 33, rule = B/S012345678<br /> 16ob16o$o14bobo14bo$o14bobo14bo$o3b2o4b2o3bobo3b2o4b2o3bo$o2bo2bo2bo2b<br /> o2bobo2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo$o3b2o4b2o3bobo<br /> 3b2o4b2o3bo$o14bobo14bo$o14bobo14bo$o2b10o2bobo2b10o2bo$o2b4o8bobo8b4o<br /> 2bo$o2b4o8bobo8b4o2bo$o3b2o9bobo9b2o3bo$o14bobo14bo$o14bobo14bo$16ob<br /> 16o2$16ob16o$o14bobo14bo$o14bobo14bo$o3b2o9bobo9b2o3bo$o2b4o8bobo8b4o<br /> 2bo$o2b4o8bobo8b4o2bo$o2b10o2bobo2b10o2bo$o14bobo14bo$o14bobo14bo$o3b<br /> 2o4b2o3bobo3b2o4b2o3bo$o2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo$o2bo2bo2bo2bo<br /> 2bobo2bo2bo2bo2bo2bo$o3b2o4b2o3bobo3b2o4b2o3bo$o14bobo14bo$o14bobo14bo<br /> $16ob16o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+1 with two orthogonal gutters&lt;br&gt;D4_+1_gO1SO_gO1S0}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 33, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b2o4b2o3bo$o2bo2bo2bo2bo2b2o2b<br /> o2bo2bo2bo2bo$o2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$o3b2o4b2o3b2o3b2o4b2o3b<br /> o$o14b2o14bo$o14b2o14bo$o2b10o2b2o2b10o2bo$o2b4o8b2o8b4o2bo$o2b4o8b2o<br /> 8b4o2bo$o3b2o9b2o9b2o3bo$o14b2o14bo$o14b2o14bo$32o2$32o$o14b2o14bo$o<br /> 14b2o14bo$o3b2o9b2o9b2o3bo$o2b4o8b2o8b4o2bo$o2b4o8b2o8b4o2bo$o2b10o2b<br /> 2o2b10o2bo$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b2o4b2o3bo$o2bo2bo2bo2b<br /> o2b2o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$o3b2o4b2o3b2o3b<br /> 2o4b2o3bo$o14b2o14bo$o14b2o14bo$32o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+2 with orthogonal gutter symmetry&lt;br&gt;D4_+2_gO1S0}}<br /> |}<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 33, y = 33, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b2o4b2o3bo$o2bo2bo2bo2bo2b2o2b<br /> o2bo2bo2bo2bo$o2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$o3b2o4b2o3b2o3b2o4b2o3b<br /> o$o14b2o14bo$o14b2o14bo$o2b10o2b2o2b10o2bo$o2b4o8b2o8b4o2bo$o2b4o8b2o<br /> 8b4o2bo$o3b2o9b2o9b2o3bo$o14b2o14bo$o14b2o14bo$32o2$b32o$bo14b2o14bo$b<br /> o14b2o14bo$bo3b2o9b2o9b2o3bo$bo2b4o8b2o8b4o2bo$bo2b4o8b2o8b4o2bo$bo2b<br /> 10o2b2o2b10o2bo$bo14b2o14bo$bo14b2o14bo$bo3b2o4b2o3b2o3b2o4b2o3bo$bo2b<br /> o2bo2bo2bo2b2o2bo2bo2bo2bo2bo$bo2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$bo3b2o<br /> 4b2o3b2o3b2o4b2o3bo$bo14b2o14bo$bo14b2o14bo$b32o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+2 with orthogonal gutter symmetry, skewed}}<br /> | {{Sym-demo<br /> |rle = x = 34, y = 33, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b2o4b2o3bo$o2bo2bo2bo2bo2b2o2b<br /> o2bo2bo2bo2bo$o2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$o3b2o4b2o3b2o3b2o4b2o3b<br /> o$o14b2o14bo$o14b2o14bo$o2b10o2b2o2b10o2bo$o2b4o8b2o8b4o2bo$o2b4o8b2o<br /> 8b4o2bo$o3b2o9b2o9b2o3bo$o14b2o14bo$o14b2o14bo$32o2$2b32o$2bo14b2o14bo<br /> $2bo14b2o14bo$2bo3b2o9b2o9b2o3bo$2bo2b4o8b2o8b4o2bo$2bo2b4o8b2o8b4o2bo<br /> $2bo2b10o2b2o2b10o2bo$2bo14b2o14bo$2bo14b2o14bo$2bo3b2o4b2o3b2o3b2o4b<br /> 2o3bo$2bo2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$2bo2bo2bo2bo2bo2b2o2bo2bo2bo<br /> 2bo2bo$2bo3b2o4b2o3b2o3b2o4b2o3bo$2bo14b2o14bo$2bo14b2o14bo$2b32o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+2 with orthogonal gutter symmetry, doubly skewed}}<br /> | {{Sym-demo<br /> |rle = x = 34, y = 34, rule = B/S012345678<br /> 17b16o$16obo14bo$o14bobo14bo$o14bobo3b2o4b2o3bo$o3b2o4b2o3bobo2bo2bo2b<br /> o2bo2bo$o2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bobo3b2o4b2o3b<br /> o$o3b2o4b2o3bobo14bo$o14bobo14bo$o14bobo2b10o2bo$o2b10o2bobo8b4o2bo$o<br /> 2b4o8bobo8b4o2bo$o2b4o8bobo9b2o3bo$o3b2o9bobo14bo$o14bobo14bo$o14bob<br /> 16o$16o$18b16o$b16obo14bo$bo14bobo14bo$bo14bobo9b2o3bo$bo3b2o9bobo8b4o<br /> 2bo$bo2b4o8bobo8b4o2bo$bo2b4o8bobo2b10o2bo$bo2b10o2bobo14bo$bo14bobo<br /> 14bo$bo14bobo3b2o4b2o3bo$bo3b2o4b2o3bobo2bo2bo2bo2bo2bo$bo2bo2bo2bo2bo<br /> 2bobo2bo2bo2bo2bo2bo$bo2bo2bo2bo2bo2bobo3b2o4b2o3bo$bo3b2o4b2o3bobo14b<br /> o$bo14bobo14bo$bo14bob16o$b16o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+1 with two skew orthogonal gutters}}<br /> |}<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 34, y = 33, rule = B/S012345678<br /> 16ob16o$o14bobo14bo$o14bobo14bo$o3b2o4b2o3bobo3b2o4b2o3bo$o2bo2bo2bo2b<br /> o2bobo2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo$o3b2o4b2o3bobo<br /> 3b2o4b2o3bo$o14bobo14bo$o14bobo14bo$o2b10o2bobo2b10o2bo$o2b4o8bobo8b4o<br /> 2bo$o2b4o8bobo8b4o2bo$o3b2o9bobo9b2o3bo$o14bobo14bo$o14bobo14bo$16ob<br /> 16o2$b16ob16o$bo14bobo14bo$bo14bobo14bo$bo3b2o9bobo9b2o3bo$bo2b4o8bobo<br /> 8b4o2bo$bo2b4o8bobo8b4o2bo$bo2b10o2bobo2b10o2bo$bo14bobo14bo$bo14bobo<br /> 14bo$bo3b2o4b2o3bobo3b2o4b2o3bo$bo2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo$bo<br /> 2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo$bo3b2o4b2o3bobo3b2o4b2o3bo$bo14bobo<br /> 14bo$bo14bobo14bo$b16ob16o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+2 with two orthogonal gutters, one skewed}}<br /> | {{Sym-demo<br /> |rle = x = 35, y = 33, rule = B/S012345678<br /> 16ob16o$o14bobo14bo$o14bobo14bo$o3b2o4b2o3bobo3b2o4b2o3bo$o2bo2bo2bo2b<br /> o2bobo2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo$o3b2o4b2o3bobo<br /> 3b2o4b2o3bo$o14bobo14bo$o14bobo14bo$o2b10o2bobo2b10o2bo$o2b4o8bobo8b4o<br /> 2bo$o2b4o8bobo8b4o2bo$o3b2o9bobo9b2o3bo$o14bobo14bo$o14bobo14bo$16ob<br /> 16o2$2b16ob16o$2bo14bobo14bo$2bo14bobo14bo$2bo3b2o9bobo9b2o3bo$2bo2b4o<br /> 8bobo8b4o2bo$2bo2b4o8bobo8b4o2bo$2bo2b10o2bobo2b10o2bo$2bo14bobo14bo$<br /> 2bo14bobo14bo$2bo3b2o4b2o3bobo3b2o4b2o3bo$2bo2bo2bo2bo2bo2bobo2bo2bo2b<br /> o2bo2bo$2bo2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo$2bo3b2o4b2o3bobo3b2o4b2o3b<br /> o$2bo14bobo14bo$2bo14bobo14bo$2b16ob16o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+2 with two orthogonal gutters, one doubly skewed}}<br /> | {{Sym-demo<br /> |rle = x = 35, y = 35, rule = B/S012345678<br /> 17b16o$17bo14bo$16obo14bo$o14bobo3b2o4b2o3bo$o14bobo2bo2bo2bo2bo2bo$o<br /> 3b2o4b2o3bobo2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bobo3b2o4b2o3bo$o2bo2bo2bo<br /> 2bo2bobo14bo$o3b2o4b2o3bobo14bo$o14bobo2b10o2bo$o14bobo8b4o2bo$o2b10o<br /> 2bobo8b4o2bo$o2b4o8bobo9b2o3bo$o2b4o8bobo14bo$o3b2o9bobo14bo$o14bob16o<br /> $o14bo$16o3b16o$19bo14bo$2b16obo14bo$2bo14bobo9b2o3bo$2bo14bobo8b4o2bo<br /> $2bo3b2o9bobo8b4o2bo$2bo2b4o8bobo2b10o2bo$2bo2b4o8bobo14bo$2bo2b10o2bo<br /> bo14bo$2bo14bobo3b2o4b2o3bo$2bo14bobo2bo2bo2bo2bo2bo$2bo3b2o4b2o3bobo<br /> 2bo2bo2bo2bo2bo$2bo2bo2bo2bo2bo2bobo3b2o4b2o3bo$2bo2bo2bo2bo2bo2bobo<br /> 14bo$2bo3b2o4b2o3bobo14bo$2bo14bob16o$2bo14bo$2b16o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+1 with two double-skew orthogonal gutters}}<br /> |}<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 16, y = 16, rule = B/S012345678<br /> b15o$obo12bo$2obo3bo5bobo$obobo10bo$o2bobo2bo3bo2bo$o3bobo2b3o3bo$o4bo<br /> bo7bo$obo3bobo6bo$o3bo2bobo5bo$o4bo2bobo4bo$o4bo3bobo3bo$o4bo4bobo2bo$<br /> o3bo6bobobo$obo9bob2o$o12bobo$15o!<br /> |width = 160<br /> |height = 160<br /> |caption = Diagonal gutter symmetry&lt;br&gt;D2_x_gD1S0}}<br /> | {{Sym-demo<br /> |rle = x = 16, y = 17, rule = B/S012345678<br /> b15o$2bo12bo$o2bo3bo5bobo$2o2bo10bo$obo2bo2bo3bo2bo$o2bo2bo2b3o3bo$o3b<br /> o2bo7bo$o4bo2bo6bo$obo3bo2bo5bo$o3bo2bo2bo4bo$o4bo2bo2bo3bo$o4bo3bo2bo<br /> 2bo$o4bo4bo2bobo$o3bo6bo2b2o$obo9bo2bo$o12bo$15o!<br /> |width = 160<br /> |height = 160<br /> |caption = Diagonal skewgutter symmetry&lt;br&gt;D2_x_gD1S1}}<br /> |}<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S012345678<br /> 30o$o14bo12bobo$o14bobo5bo3bob2o$o7bo6bo10bobobo$o6bobo5bo2bo3bo2bobo<br /> 2bo$o7bo3bo2bo3b3o2bobo3bo$o11bo2bo7bobo4bo$o3bo7bo2bo6bobo3bobo$o2bob<br /> o6bo2bo5bobo2bo3bo$o3bo6bo3bo4bobo2bo4bo$o9bo4bo3bobo3bo4bo$o8bo5bo2bo<br /> bo4bo4bo$o4b4o6bobobo6bo3bo$o14b2obo9bobo$o14bobo12bo$15ob15o$o12bobo<br /> 14bo$obo9bob2o14bo$o3bo6bobobo6b4o4bo$o4bo4bobo2bo5bo8bo$o4bo3bobo3bo<br /> 4bo9bo$o4bo2bobo4bo3bo6bo3bo$o3bo2bobo5bo2bo6bobo2bo$obo3bobo6bo2bo7bo<br /> 3bo$o4bobo7bo2bo11bo$o3bobo2b3o3bo2bo3bo7bo$o2bobo2bo3bo2bo5bobo6bo$ob<br /> obo10bo6bo7bo$2obo3bo5bobo14bo$obo12bo14bo$b30o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_x1 with diagonal gutter symmetry&lt;br&gt;D4_x1_gD1S0}}<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S012345678<br /> b29o$obo12bo12bobo$2obo3b2o3b2obobo5bo3bob2o$obobo10bo10bobobo$o2bobo<br /> 2bo3bo2bo2bo3bo2bobo2bo$o3bobo2b3o3bo3b3o2bobo3bo$o4bobo7bo7bobo4bo$ob<br /> o3bobo6bo6bobo3bobo$obobo2bobo5bo5bobo2bo3bo$o4bo2bobo4bo4bobo2bo4bo$o<br /> 4bo3bobo3bo3bobo3bo4bo$o4bo4bobo2bo2bobo4bo4bo$obobo6bobobobobo6bo3bo$<br /> obo9bob3obo9bobo$o12bobobo12bo$15ob15o$o12bobobo12bo$obo9bob3obo9bobo$<br /> o3bo6bobobobobo6bobobo$o4bo4bobo2bo2bobo4bo4bo$o4bo3bobo3bo3bobo3bo4bo<br /> $o4bo2bobo4bo4bobo2bo4bo$o3bo2bobo5bo5bobo2bobobo$obo3bobo6bo6bobo3bob<br /> o$o4bobo7bo7bobo4bo$o3bobo2b3o3bo3b3o2bobo3bo$o2bobo2bo3bo2bo2bo3bo2bo<br /> bo2bo$obobo10bo10bobobo$2obo3bo5bobob2o3b2o3bob2o$obo12bo12bobo$b29o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_x1 with two diagonal gutters&lt;br&gt;D4_x1_gD1S0_gD1S0}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S012345678<br /> 31o$o14b2o12bobo$o14b2obo5bo3bob2o$o7bo6b2o10bobobo$o6bobo5b2o2bo3bo2b<br /> obo2bo$o7bo3bo2b2o3b3o2bobo3bo$o11bo2b2o7bobo4bo$o3bo7bo2b2o6bobo3bobo<br /> $o2bobo6bo2b2o5bobo2bo3bo$o3bo6bo3b2o4bobo2bo4bo$o9bo4b2o3bobo3bo4bo$o<br /> 8bo5b2o2bobo4bo4bo$o4b4o6b2obobo6bo3bo$o14b3obo9bobo$o14b2obo12bo$15o<br /> 2b15o$15o2b15o$o12bob2o14bo$obo9bob3o14bo$o3bo6bobob2o6b4o4bo$o4bo4bob<br /> o2b2o5bo8bo$o4bo3bobo3b2o4bo9bo$o4bo2bobo4b2o3bo6bo3bo$o3bo2bobo5b2o2b<br /> o6bobo2bo$obo3bobo6b2o2bo7bo3bo$o4bobo7b2o2bo11bo$o3bobo2b3o3b2o2bo3bo<br /> 7bo$o2bobo2bo3bo2b2o5bobo6bo$obobo10b2o6bo7bo$2obo3bo5bob2o14bo$obo12b<br /> 2o14bo$b31o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_x4 with diagonal gutter symmetry&lt;br&gt;D4_x4_gD1S0}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S012345678<br /> b30o$obo12b2o12bobo$2obo3bo5bob2ob2o3b2o3bob2o$obobo10b2o10bobobo$o2bo<br /> bo2bo3bo2b2o2bo3bo2bobo2bo$o3bobo2b3o3b2o3b3o2bobo3bo$o4bobo7b2o7bobo<br /> 4bo$obo3bobo6b2o6bobo3bobo$o3bo2bobo5b2o5bobo2bobobo$o4bo2bobo4b2o4bob<br /> o2bo4bo$o4bo3bobo3b2o3bobo3bo4bo$o4bo4bobo2b2o2bobo4bo4bo$o3bo6bobob2o<br /> bobo6bobobo$obo9bob4obo9bobo$o12bob2obo12bo$15o2b15o$15o2b15o$o12bob2o<br /> bo12bo$obo9bob4obo9bobo$obobo6bobob2obobo6bo3bo$o4bo4bobo2b2o2bobo4bo<br /> 4bo$o4bo3bobo3b2o3bobo3bo4bo$o4bo2bobo4b2o4bobo2bo4bo$obobo2bobo5b2o5b<br /> obo2bo3bo$obo3bobo6b2o6bobo3bobo$o4bobo7b2o7bobo4bo$o3bobo2b3o3b2o3b3o<br /> 2bobo3bo$o2bobo2bo3bo2b2o2bo3bo2bobo2bo$obobo10b2o10bobobo$2obo3b2o3b<br /> 2ob2obo5bo3bob2o$obo12b2o12bobo$b30o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_x4 with two diagonal gutters&lt;br&gt;D4_x4_gD1S0_gD1S0}}<br /> |}<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 33, y = 33, rule = B/S012345678<br /> 16ob16o$o14bobo14bo$o14bobo14bo$o7bo6bobo6bo7bo$o6bobo5bobo5bobo6bo$o<br /> 7bo3bo2bobo2bo3bo7bo$o11bo2bobo2bo11bo$o3bo7bo2bobo2bo7bo3bo$o2bobo6bo<br /> 2bobo2bo6bobo2bo$o3bo6bo3bobo3bo6bo3bo$o9bo4bobo4bo9bo$o8bo5bobo5bo8bo<br /> $o4b4o6bobo6b4o4bo$o14bobo14bo$o14bobo14bo$16ob16o2$16ob16o$o14bobo14b<br /> o$o14bobo14bo$o4b4o6bobo6b4o4bo$o8bo5bobo5bo8bo$o9bo4bobo4bo9bo$o3bo6b<br /> o3bobo3bo6bo3bo$o2bobo6bo2bobo2bo6bobo2bo$o3bo7bo2bobo2bo7bo3bo$o11bo<br /> 2bobo2bo11bo$o7bo3bo2bobo2bo3bo7bo$o6bobo5bobo5bobo6bo$o7bo6bobo6bo7bo<br /> $o14bobo14bo$o14bobo14bo$16ob16o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_1 with orthogonal gutter symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S012345678<br /> b29o$obo12bo12bobo$2obo3bo5bobobo5bo3bob2o$obobo10bo10bobobo$o2bobo2bo<br /> 3bo2bo2bo3bo2bobo2bo$o3bobo2b3o3bo3b3o2bobo3bo$o4bobo7bo7bobo4bo$obo3b<br /> obo6bo6bobo3bobo$o3bo2bobo5bo5bobo2bo3bo$o4bo2bobo4bo4bobo2bo4bo$o4bo<br /> 3bobo3bo3bobo3bo4bo$o4bo4bobo2bo2bobo4bo4bo$o3bo6bobobobobo6bo3bo$obo<br /> 9bob3obo9bobo$o12bobobo12bo$15ob15o$o12bobobo12bo$obo9bob3obo9bobo$o3b<br /> o6bobobobobo6bo3bo$o4bo4bobo2bo2bobo4bo4bo$o4bo3bobo3bo3bobo3bo4bo$o4b<br /> o2bobo4bo4bobo2bo4bo$o3bo2bobo5bo5bobo2bo3bo$obo3bobo6bo6bobo3bobo$o4b<br /> obo7bo7bobo4bo$o3bobo2b3o3bo3b3o2bobo3bo$o2bobo2bo3bo2bo2bo3bo2bobo2bo<br /> $obobo10bo10bobobo$2obo3bo5bobobo5bo3bob2o$obo12bo12bobo$b29o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_1 with diagonal gutter symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 33, y = 33, rule = B/S012345678<br /> b15ob15o$obo12bobo12bobo$2obo3bo5bobobobo5bo3bob2o$obobo10bobo10bobobo<br /> $o2bobo2bo3bo2bobo2bo3bo2bobo2bo$o3bobo2b3o3bobo3b3o2bobo3bo$o4bobo7bo<br /> bo7bobo4bo$obo3bobo6bobo6bobo3bobo$o3bo2bobo5bobo5bobo2bo3bo$o4bo2bobo<br /> 4bobo4bobo2bo4bo$o4bo3bobo3bobo3bobo3bo4bo$o4bo4bobo2bobo2bobo4bo4bo$o<br /> 3bo6bobobobobobo6bo3bo$obo9bob2ob2obo9bobo$o12bobobobo12bo$15o3b15o2$<br /> 15o3b15o$o12bobobobo12bo$obo9bob2ob2obo9bobo$o3bo6bobobobobobo6bo3bo$o<br /> 4bo4bobo2bobo2bobo4bo4bo$o4bo3bobo3bobo3bobo3bo4bo$o4bo2bobo4bobo4bobo<br /> 2bo4bo$o3bo2bobo5bobo5bobo2bo3bo$obo3bobo6bobo6bobo3bobo$o4bobo7bobo7b<br /> obo4bo$o3bobo2b3o3bobo3b3o2bobo3bo$o2bobo2bo3bo2bobo2bo3bo2bobo2bo$obo<br /> bo10bobo10bobobo$2obo3bo5bobobobo5bo3bob2o$obo12bobo12bobo$b15ob15o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_1 with orthogonal and diagonal gutters}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S012345678<br /> b30o$obo12b2o12bobo$2obo3bo5bob2obo5bo3bob2o$obobo10b2o10bobobo$o2bobo<br /> 2bo3bo2b2o2bo3bo2bobo2bo$o3bobo2b3o3b2o3b3o2bobo3bo$o4bobo7b2o7bobo4bo<br /> $obo3bobo6b2o6bobo3bobo$o3bo2bobo5b2o5bobo2bo3bo$o4bo2bobo4b2o4bobo2bo<br /> 4bo$o4bo3bobo3b2o3bobo3bo4bo$o4bo4bobo2b2o2bobo4bo4bo$o3bo6bobob2obobo<br /> 6bo3bo$obo9bob4obo9bobo$o12bob2obo12bo$15o2b15o$15o2b15o$o12bob2obo12b<br /> o$obo9bob4obo9bobo$o3bo6bobob2obobo6bo3bo$o4bo4bobo2b2o2bobo4bo4bo$o4b<br /> o3bobo3b2o3bobo3bo4bo$o4bo2bobo4b2o4bobo2bo4bo$o3bo2bobo5b2o5bobo2bo3b<br /> o$obo3bobo6b2o6bobo3bobo$o4bobo7b2o7bobo4bo$o3bobo2b3o3b2o3b3o2bobo3bo<br /> $o2bobo2bo3bo2b2o2bo3bo2bobo2bo$obobo10b2o10bobobo$2obo3bo5bob2obo5bo<br /> 3bob2o$obo12b2o12bobo$b30o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_4 with diagonal gutter symmetry}}<br /> |}<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 34, y = 34, rule = B/S012345678<br /> 17b16o$16obo14bo$o14bobo14bo$o14bobo6bo7bo$o7bo6bobo5bobo6bo$o6bobo5bo<br /> bo2bo3bo7bo$o7bo3bo2bobo2bo11bo$o11bo2bobo2bo7bo3bo$o3bo7bo2bobo2bo6bo<br /> bo2bo$o2bobo6bo2bobo3bo6bo3bo$o3bo6bo3bobo4bo9bo$o9bo4bobo5bo8bo$o8bo<br /> 5bobo6b4o4bo$o4b4o6bobo14bo$o14bobo14bo$o14bob16o$16o$18b16o$b16obo14b<br /> o$bo14bobo14bo$bo14bobo6b4o4bo$bo4b4o6bobo5bo8bo$bo8bo5bobo4bo9bo$bo9b<br /> o4bobo3bo6bo3bo$bo3bo6bo3bobo2bo6bobo2bo$bo2bobo6bo2bobo2bo7bo3bo$bo3b<br /> o7bo2bobo2bo11bo$bo11bo2bobo2bo3bo7bo$bo7bo3bo2bobo5bobo6bo$bo6bobo5bo<br /> bo6bo7bo$bo7bo6bobo14bo$bo14bobo14bo$bo14bob16o$b16o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_1 with rotationally-symmetric orthogonal skewgutter symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 34, y = 34, rule = B/S012345678<br /> 17b15o$b15obo12bobo$obo12bobobo5bo3bob2o$2obo3bo5bobobo10bobobo$obobo<br /> 10bobo2bo3bo2bobo2bo$o2bobo2bo3bo2bobo3b3o2bobo3bo$o3bobo2b3o3bobo7bob<br /> o4bo$o4bobo7bobo6bobo3bobo$obo3bobo6bobo5bobo2bo3bo$o3bo2bobo5bobo4bob<br /> o2bo4bo$o4bo2bobo4bobo3bobo3bo4bo$o4bo3bobo3bobo2bobo4bo4bo$o4bo4bobo<br /> 2bobobobo6bo3bo$o3bo6bobobob2obo9bobo$obo9bob2obobo12bo$o12bobo2b15o$<br /> 15o$19b15o$b15o2bobo12bo$bo12bobob2obo9bobo$bobo9bob2obobobo6bo3bo$bo<br /> 3bo6bobobobo2bobo4bo4bo$bo4bo4bobo2bobo3bobo3bo4bo$bo4bo3bobo3bobo4bob<br /> o2bo4bo$bo4bo2bobo4bobo5bobo2bo3bo$bo3bo2bobo5bobo6bobo3bobo$bobo3bobo<br /> 6bobo7bobo4bo$bo4bobo7bobo3b3o2bobo3bo$bo3bobo2b3o3bobo2bo3bo2bobo2bo$<br /> bo2bobo2bo3bo2bobo10bobobo$bobobo10bobobo5bo3bob2o$b2obo3bo5bobobo12bo<br /> bo$bobo12bob15o$2b15o!<br /> |width = 320<br /> |height = 320<br /> |caption = and diagonal gutters}}<br /> | {{Sym-demo<br /> |rle = x = 35, y = 35, rule = B/S012345678<br /> 17b16o$17bo14bo$16obo14bo$o14bobo6bo7bo$o14bobo5bobo6bo$o7bo6bobo2bo3b<br /> o7bo$o6bobo5bobo2bo11bo$o7bo3bo2bobo2bo7bo3bo$o11bo2bobo2bo6bobo2bo$o<br /> 3bo7bo2bobo3bo6bo3bo$o2bobo6bo2bobo4bo9bo$o3bo6bo3bobo5bo8bo$o9bo4bobo<br /> 6b4o4bo$o8bo5bobo14bo$o4b4o6bobo14bo$o14bob16o$o14bo$16o3b16o$19bo14bo<br /> $2b16obo14bo$2bo14bobo6b4o4bo$2bo14bobo5bo8bo$2bo4b4o6bobo4bo9bo$2bo8b<br /> o5bobo3bo6bo3bo$2bo9bo4bobo2bo6bobo2bo$2bo3bo6bo3bobo2bo7bo3bo$2bo2bob<br /> o6bo2bobo2bo11bo$2bo3bo7bo2bobo2bo3bo7bo$2bo11bo2bobo5bobo6bo$2bo7bo3b<br /> o2bobo6bo7bo$2bo6bobo5bobo14bo$2bo7bo6bobo14bo$2bo14bob16o$2bo14bo$2b<br /> 16o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_1 with rotationally-symmetric orthogonal double skewgutter symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 35, y = 35, rule = B/S012345678<br /> 17b15o$17bo12bobo$b15obobo5bo3bob2o$obo12bobo10bobobo$2obo3bo5bobobo2b<br /> o3bo2bobo2bo$obobo10bobo3b3o2bobo3bo$o2bobo2bo3bo2bobo7bobo4bo$o3bobo<br /> 2b3o3bobo6bobo3bobo$o4bobo7bobo5bobo2bo3bo$obo3bobo6bobo4bobo2bo4bo$o<br /> 3bo2bobo5bobo3bobo3bo4bo$o4bo2bobo4bobo2bobo4bo4bo$o4bo3bobo3bobobobo<br /> 6bo3bo$o4bo4bobo2bob2obo9bobo$o3bo6bobobobobo12bo$obo9bob2o2b15o$o12bo<br /> bo$15o5b15o$19bobo12bo$2b15o2b2obo9bobo$2bo12bobobobobo6bo3bo$2bobo9bo<br /> b2obo2bobo4bo4bo$2bo3bo6bobobobo3bobo3bo4bo$2bo4bo4bobo2bobo4bobo2bo4b<br /> o$2bo4bo3bobo3bobo5bobo2bo3bo$2bo4bo2bobo4bobo6bobo3bobo$2bo3bo2bobo5b<br /> obo7bobo4bo$2bobo3bobo6bobo3b3o2bobo3bo$2bo4bobo7bobo2bo3bo2bobo2bo$2b<br /> o3bobo2b3o3bobo10bobobo$2bo2bobo2bo3bo2bobobo5bo3bob2o$2bobobo10bobo<br /> 12bobo$2b2obo3bo5bobob15o$2bobo12bo$3b15o!<br /> |width = 320<br /> |height = 320<br /> |caption = and diagonal gutters}}<br /> |}<br /> <br /> In order to preserve orthogonal gutter symmetry, the birth conditions B0, B2c, B2i, B4i, B4c and B6i must be absent.<br /> <br /> In order to preserve orthogonal skewgutter symmetry, the birth conditions B0, B1c, B2k, B2n, B3n, B3y, B4y, B4z, B5r and B6i must be absent.<br /> <br /> In order to preserve orthogonal double skewgutter symmetry, the birth conditions B0, B1c, B1e, B2a, B2i, B2k, B2n, B3c, B3q, B3r, B4c, B4n, B4y, B4z, B5e, B5r and B6i must be absent.<br /> <br /> In order to preserve diagonal gutter symmetry, the birth conditions B0, B2n, B2e, B4e, B4w and B6n must be absent.<br /> <br /> In order to preserve diagonal skewgutter symmetry, the birth consitions B0, B1c, B1e, B2a, B2k, B3k, B3q and B4q must be absent.<br /> <br /> Preserving triple or higher orthogonal skewgutter symmetry in a range-1 Moore rule requires that a pattern must not be able to escape its bounding box.<br /> <br /> &quot;Zero-dimensional&quot; gutters of a single cell can also exist, and indeed do exist in Life (in which they form immediately due to the lack of S0, S4 or S8). However, these are of absolutely no interest due to applying to every pattern with a symmetry that can support them.<br /> &lt;/div&gt;&lt;/div&gt;<br /> <br /> === On a hexagonal grid ===<br /> Non-trivial gutter symmetry is also known to exist on hexagonal grids.&lt;ref name=&quot;post66215&quot; /&gt; Searching with these is not yet supported by apgsearch.<br /> <br /> == Translational symmetry ==<br /> Most well-known [[wick]]s and [[agar]]s have translational symmetry, in one and two dimensions respectively, though some may also have reflectional symmetry, and agars can have rotational symmetry.<br /> <br /> == Compositional/translational symmetry ==<br /> In certain rules, any pattern completely made of correctly-aligned arrangements of cells that fit within a 2&amp;times;2 area will always be made up of said 2&amp;times;2 arrangements of cells in all subsequent generations, simulating what can be described as an isotropic [[Margolus]]-neighbourhood rule, or block cellular automaton.&lt;ref name=&quot;post54857&quot; /&gt; The most notable example of this is [[OCA:2&amp;times;2|2&amp;times;2]], whioch does this with solid 2&amp;times;2 regions of four cells. Due to the presence of B3(c) and absence of S0, Life also simulates a (rather uninteresting) such rule with patterns composed of single cells separated from each other by two cells orthogonally and diagonally - examples of oscillators where this can be seen include the [[barberpole]].<br /> <br /> In the case of 2&amp;times;2's rule, further self-similarity can be noted with certain patterns - anything made of solid 4&amp;times;4 blocks which are correctly aligned will still be made of 4&amp;times;4 blocks in even generations, and so on.&lt;ref&gt;http://www.njohnston.ca/wp-content/uploads/2010/01/2x2.pdf&lt;/ref&gt;<br /> <br /> [[apgsearch]] supports the full block version of these symmetries through the inflation operator.<br /> <br /> == Population preservation ==<br /> In certain rules, notably in the Margolus rulespace as well as Partitioned CA, &lt;!--which I continue to insist are equivalent--&gt;rules exist in which the population of a pattern can never change. Infinite growth cannot happen in these rules. A notable example is the Single Rotation rule.<br /> <br /> Such rules, perhaps counterintuitively due to effectively making the population infinite, can feature B0. Population is still conserved for every even generation in these cases. A notable example is Critters.<br /> <br /> == Reversibility ==<br /> Another notable attribute rules can have, notably in the two rulespaces detailed above, which may be considered a &quot;symmetry&quot;, is reversibility, in which a given rule can map to a respective &quot;reverse rule&quot; which corresponds to the initial rule being run backwards.<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post54857&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Rules with interesting dynamics<br /> |p = 54857<br /> |author = praosylen<br /> |date = January 8, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66043&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Rules with interesting dynamics<br /> |p = 66043<br /> |author = Connor Steppie<br /> |date = November 30, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66215&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Non-totalistic hex rules<br /> |p = 66215<br /> |author = Connor Steppie<br /> |date = December 5, 2018<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;</div>

Praosylen https://conwaylife.com/w/index.php?title=OCA:Tlife&diff=86245 2021-12-20T20:41:13Z

<p>Praosylen: the passive voice has not been avoided (I am being called out by myself here)</p> <hr /> <div>{{Rule<br /> |name = tlife<br /> |imgname = tlife<br /> |char = Chaotic<br /> |b = 3<br /> |s = 2-i34q<br /> }}<br /> '''tlife''' is a [[non-totalistic Life-like cellular automaton]] devised by [[M. I. Wright]] on September 6, 2015. It is very closely related to the much more commonly known rule [[Conway's Game of Life]], differing by only two transitions. It is likely one of the best-studied non-totalistic Life-like cellular automaton in existence.<br /> <br /> ==Rules==<br /> tlife is identical to Life in all transitions, save for two:<br /> <br /> * Cells with two adjacent cells in a straight orthogonal line (as in [[blinker]]) will die (2i), and<br /> * Cells with four adjacent cells (as in the dense phase of [[beacon]]) will survive (4q).<br /> <br /> The two differing transitions, illustrated:<br /> <br /> 000 110<br /> 111 -&gt; 0 110 -&gt; 1<br /> 000 001<br /> <br /> ==Patterns==<br /> Although many patterns from Conway Life still function identically in tlife, some do not; for example, the [[blinker]] dies in tlife, and the [[beacon]] (depending on the phase) is or evolves into an 8-cell still life. Conversely, some patterns from tlife work in normal Life, but some do not.<br /> <br /> ===Spaceships===<br /> {{EmbedViewer<br /> |pname=ttetrominotlife<br /> |viewerconfig=#C [[ THEME 6 GRID GRIDMAJOR 0 THUMBLAUNCH AUTOSTART GPS 5 THUMBSIZE 2 TRACKLOOP 5 0 1/5 HEIGHT 480 ]]<br /> |caption=The [[T-tetromino]].<br /> }}<br /> {{for|other uses of &quot;Ant&quot;|ants}}<br /> The [[glider]] exists in tlife, and there are two other basic elementary spaceships: a slightly bigger [[c/4 diagonal]] called ''ant'' and a [[non-monotonic]] [[c/5 orthogonal]] (the [[T-tetromino]], usually called simply ''T'').&lt;ref name=&quot;tmain&quot;&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=22549#p22549|title=tlife (B3/S2-i34q)|author=&quot;M. I. Wright&quot;|date=September 13, 2015|accessdate=May 11, 2018}}&lt;/ref&gt;<br /> <br /> Alongside these, other elementary spaceships have been discovered. One such spaceship, which travels at [[c/2 orthogonal]] (period 4), is dubbed the ''disemiMWSS'', referencing the fact it looks like two [[middleweight spaceship]]s interacting with each other; there is also a skewed variant. There is also another c/2 orthogonal spaceship that evolves from a phase of the [[queen bee]], which has several minor variants. Other important spaceships include chains of interacting Ts, a small 2c/6 orthogonal ship, a small-to-medium [[c/4 orthogonal]] ship, and a large 8c/282 orthogonal ship consisting of many copies of a puffer of the same speed.&lt;ref name=&quot;ships1&quot;&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=23546#p23546|title=Re: tlife (B3/S2-i34q)|author=[[Arie Paap]] (wildmyron)|date=November 29, 2016|accessdate=May 11, 2018}}&lt;/ref&gt;&lt;ref name=&quot;hypership&quot;&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=63228#p63228|title=Re: tlife (B3/S2-i34q)|author=[[Luka Okanishi]] (AbhpzTa)|date=September 1, 2018|accessdate=September 23, 2018}}&lt;/ref&gt; There exist eaters for the glider, T, and ant, as well as for the queen bee ship and its variants.&lt;ref name=&quot;tmain&quot;/&gt;<br /> <br /> In all, c/2, [[2c/5 orthogonal|2c/5]], 2c/4, 4c/8, [[c/3 orthogonal|c/3]], 2c/6, c/4, c/5, and 8c/282 orthogonal, as well as c/4 diagonal, spaceships are known to exist, discounting higher-period c/2 technology.&lt;ref name=&quot;ships1&quot;/&gt;<br /> <br /> The only named spaceship other than the glider known to function in both CGoL and tlife is the [[crab]]; however, several other, unnamed c/4 diagonal spaceships work in both rules.&lt;ref name=&quot;crab&quot;&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=1831&amp;p=23029#p23029|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=September 27, 2015|accessdate=March 22, 2020}}&lt;/ref&gt;&lt;ref name=&quot;lifeships&quot;&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=39575#p39575|title=Re: tlife (B3/S2-i34q)|author=praosylen|date=January 20, 2017|accessdate=March 22, 2020}}&lt;/ref&gt; All known spaceships that function in both B3/S23 and B3/S2-i34q travel at a velocity of (1,1)c/4.<br /> <br /> {{EmbedViewer<br /> |pname = tlifegatekid<br /> |position = left<br /> |caption = &quot;Gate Kid&quot; (named after its apgcode), or&lt;br&gt;&quot;honeyloaf p5&quot; (its original name), a period&lt;br&gt;5 oscillator which works in both tlife&lt;br&gt;and tdrylife.<br /> |apgcode = xp5_g8kid52z121/b3s2-i34q<br /> }}<br /> <br /> ===Oscillators===<br /> <br /> There is a common unloopable (non-classical) period-160 [[reflectorless rotating oscillator]] that often evolves from (what would, in normal Life, be) a [[loaf]] predecessor or a [[honey farm]] predecessor. Multiple copies of this oscillator can be combined to form interesting patterns such as guns, higher-period oscillators, and glider or T duplicators. A single copy can also reflect a glider or T, or convert it into the other.&lt;ref name=&quot;tmain&quot;/&gt; There is also a somewhat similar period 33,&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=30352#p30352|title=Re: tlife (B3/S2-i34q)|author=[[Nico Brown]] (glider_rider)|date=April 23, 2016|accessdate=May 12, 2018}}&lt;/ref&gt; several p20s based on a failed replicator, a p14 shuttle, a variety of p2 oscillators, small rule-specific period 3, 4, 5, 6, and 8 oscillators,&lt;ref name=&quot;tmain&quot;/&gt;&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=24323#p24323|title=Re: tlife (B3/S2-i34q)|author=&quot;Sphenocorona&quot;|date=October 29, 2015|accessdate=May 12, 2018}}&lt;/ref&gt; larger billiard tables of all periods up to 10,&lt;ref name=&quot;billiards1&quot;&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=54077#p54077|title=Re: tlife (B3/S2-i34q)|author=[[praosylen]]|date=December 14, 2017|accessdate=May 12, 2018}}&lt;/ref&gt;&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=53676#p53676|title=Re: tlife (B3/S2-i34q)|author=[[praosylen]]|date=December 22, 2017|accessdate=May 12, 2018}}&lt;/ref&gt; and an infinitely extensible family of oscillators consisting of replicating signals traveling up and down two diagonal lines of connected blocks.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=27818#p27818|title=Re: tlife (B3/S2-i34q)|author=[[praosylen]]|date=February 28, 2016|accessdate=May 12, 2018}}&lt;/ref&gt; p4, p6, and p8 [[sparker]]s have also been found, allowing p16 T-hassling oscillators and p6N glider loops for certain N &gt; 4 (exactly which N is unexplored, but it is likely to be all N), as well as p96+40N T shuttles for all N.&lt;ref name=&quot;billiards1&quot;/&gt;&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=53787#p53787|title=Re: tlife (B3/S2-i34q)|author=[[praosylen]]|date=December 16, 2017|accessdate=May 12, 2018}}&lt;/ref&gt;&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=44057#p44057|title=Re: tlife (B3/S2-i34q)|author=[[praosylen]]|date=June 4, 2017|accessdate=May 12, 2018}}&lt;/ref&gt; Combinations of lower-period oscillators may lead to p12s and p15s; however, no examples have been explicitly constructed.<br /> <br /> ===Infinite growth===<br /> As mentioned above, multiple copies of the period 160 oscillator can interact to form guns. There exist many guns for the glider and the T consisting of only two copies, as well as two double-barreled T guns.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=35966#p35966|title=Re: tlife (B3/S2-i34q)|author=[[praosylen]]|date=September 20, 2016|accessdate=May 12, 2018}}&lt;/ref&gt; There is also a gun for the ant consisting of 3 interacting p160 oscillators.&lt;ref name=&quot;tmain&quot;/&gt; By combining multiple basic guns, larger guns have been formed for the c/2, 2c/6, disemiMWSS and skewed variants, as well as pairs of interacting T's. A period 231 T gun is also known, using an [[over-unity reaction]] supported by reflectors formed from the p33 oscillator.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=30990#p30990|title=Re: tlife (B3/S2-i34q)|author=[[Luka Okanishi]] (AbhpzTa)|date=May 14, 2016|accessdate=May 12, 2018}}&lt;/ref&gt;<br /> <br /> Several puffers are known. Most known puffers travel at c/2 orthogonal and use one of three engines: one or more [[B-heptomino]]es escorted by at least two disemiMWSSs, a [[Schick engine]]-like tagalong to a pair of disemiMWSSs, or a p8 engine derived from a 4c/8 ship.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=23553#p23553|title=Re: tlife (B3/S2-i34q)|author=[[praosylen]]|date=October 9, 2015|accessdate=May 12, 2018}}&lt;/ref&gt;&lt;ref name=&quot;puffer2&quot;&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=23563#p23563|title=Re: tlife (B3/S2-i34q)|author=&quot;Sphenocorona&quot;|date=October 9, 2015|accessdate=May 12, 2018}}&lt;/ref&gt;&lt;ref name=&quot;ships1&quot;/&gt; These engines can be perturbed by still more disemiMWSSs to form rakes for the glider and the T, as well as presumably for other spaceships.&lt;ref name=&quot;puffer2&quot;/&gt;&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=23559#p23559|title=Re: tlife (B3/S2-i34q)|author=&quot;EricG&quot;|date=October 9, 2015|accessdate=May 12, 2018}}&lt;/ref&gt; There is also an 8c/282 (mod 141) puffer made up of an ant bouncing between two [[boat]]s, displacing each in a forward direction while creating a block and a forward T, discovered by user [[dani]]; [[Luka Okanishi]] used this to construct a large 8c/282 ship.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=63228#p63228|title=Re: tlife (B3/S2-i34q)|author=[[dani|&quot;dani&quot;]]|date=August 29, 2018|accessdate=September 23, 2018}}&lt;/ref&gt;&lt;ref name=&quot;hypership&quot;/&gt;<br /> <br /> A [[sawtooth]] has been constructed, Sawtooth 1761.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=24988#p24988|title=Re: tlife (B3/S2-i34q)|author=&quot;EricG&quot;|date=November 12, 2015|accessdate=May 12, 2018}}&lt;/ref&gt;<br /> <br /> <br /> There is a breeder consisting of four Schick puffer-based glider rakes repeatedly synthesizing double-barreled T guns.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=23565#p23565|title=Re: tlife (B3/S2-i34q)|author=&quot;EricG&quot;|date=October 9, 2015|accessdate=May 12, 2018}}&lt;/ref&gt;<br /> <br /> No wickstretchers or spacefillers are known.<br /> <br /> ==Similar rules==<br /> <br /> Various rules similar to tlife have been constructed.<br /> <br /> ===B36/S2-i34q===<br /> This rule is commonly known as &quot;tHighLife&quot; or &quot;Thigh Life&quot;, due to it sharing a B6 transition with [[HighLife]].<br /> <br /> Very interestingly, it has a simple orthogonal [[replicator]] which replicates at [[4c/11 orthogonal]], very similarly to HighLife's own replicator. [[Luka Okanishi]] used this to construct a 4c/11 orthogonal spaceship.<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | [[File:Thighlifereplicator.png|center|frame|The replicator.]]<br /> |-<br /> | [[File:Thighlife4c11spaceship.png|center|frame|The 4c/11 spaceship.]]<br /> |}<br /> <br /> ===B37/S2-i34q===<br /> This rule is commonly known as &quot;tdrylife&quot;, taking its B7 from [[DryLife]].<br /> <br /> Unlike DryLife, it is not explosive, and has a lot of very interesting patterns. The only two relatively common oscillators are the [[cap]] and the [[toad]], neither with a usable spark, resulting in no guns having been discovered so far (as opposed to the well-known rakes).<br /> <br /> Many interesting spaceships have been constructed in this rule. For example, there is a naturally occurring [[2c/23 orthogonal]] spaceship involving the T trying to escape a [[pre-beehive]]. [[Luka Okanishi]] used this spaceship to create other patterns moving at this speed. A T forward rake was also built using known reflections for gliders and Ts when colliding with the 2c/23 spaceship.<br /> <br /> [[File:Tdrylife2c23spaceship.png|frame|center|The 2/c23 ship.]]<br /> <br /> A c/2 orthogonal spaceship based on 2 [[B-heptomino]]es has been seen to occur naturally. <br /> <br /> [[File:Tdrylifec2spaceship.png|frame|center|The c/2 ship.]]<br /> <br /> It has a [[11c/776 diagonal]] glide symmetric [[pond]] [[puffer]], which is actually the [[century]]. It parallels the [[R-pentomino]] based [[9c/28 orthogonal]] pond puffer from DryLife. In June 2017, [[Luka Okanishi]] managed to build a 22c/1552 diagonal spaceship using pond puffer interactions.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=2266&amp;start=50#p44806|title=Re: tDryLife|author=[[Luka Okanishi]] (AbhpzTa)|date=June 21, 2017|accessdate=June 22, 2017}}&lt;/ref&gt;<br /> <br /> [[File:Tdrylifepondpuffer.png|frame|center|The pond puffer.]]<br /> <br /> Most interestingly, there is a (2,6)c/21 ([[:category:spaceships with slope 3|slope 3]]) [[ship]] [[puffer]]. This can be stabilised into various interesting patterns, such as a two-engine knightship. Also, [[Alexey Nigin]] has created a [[quadratic growth]] pattern which uses oblique spaceships to create pond puffers, based on a reaction discovered by [[Rhombic]]. A much slower quadratic growth pattern was discovered later by Rhombic, based on the synthesis of pond puffers with a T and a pond.<br /> <br /> [[File:Tdrylifeshippuffer.png|frame|center|The ship puffer.]]<br /> <br /> ==References==<br /> &lt;references/&gt;<br /> <br /> ==External links==<br /> {{LinkForumThread|f=11|t=1831|title=tlife}}<br /> {{LinkForumThread|f=11|t=2265|title=thighlife}}<br /> {{LinkForumThread|f=11|t=2266|title=tdrylife}}<br /> {{LinkCatagolueRule|b3s2-i34q|rulename=tlife}}<br /> {{LinkCatagolueRule|b36s2-i34q|rulename=thighlife}}<br /> {{LinkCatagolueRule|b37s2-i34q|rulename=tdrylife}}<br /> <br /> {{DISPLAYTITLE:OCA:tlife}}</div>

Praosylen https://conwaylife.com/w/index.php?title=User:HotdogPi/My_discoveries/Period_14-&diff=86242 2021-12-20T20:38:31Z

<p>Praosylen: see edit summary on your p61+ page</p> <hr /> <div>{|-<br /> |{{EmbedViewer<br /> |rle =<br /> 24b2o$24b2o3$4b2o18b3o$4b2o13b2o2bob2o$19b2o2b2o$4b4o15b2o3b2o$3bo4bo<br /> 18bo2bo$3b5obo9bo7bobobo$b2o3bo2bo7bo2bo5b2obobo$o2b3obob2o5bo4bo6bobo<br /> b2o$2obobobo7bo5bob2o2b2obo2bo$3bo2bob2o2b2obo5bo7bobobob2o$3b2obobo6b<br /> o4bo5b2obob3o2bo$5bobob2o5bo2bo7bo2bo3b2o$5bobobo7bo9bob5o$6bo2bo18bo<br /> 4bo$7b2o3b2o15b4o$12b2o2b2o$10b2obo2b2o13b2o$10b3o18b2o3$11b2o$11b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 3 ]]<br /> |caption = p6 late-generation [[Z-hexomino]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 7$15bo$9bo4bobo$9b3o2bobo18b2o3bo$12bobob2o16bo2bobobo2bo$9b3o2bo4bo4b<br /> o9bob2obob4o$9bo2bob3o6bobo7b2o4bo$12b2o6bobo2bo5bo3b4ob2ob2o$5b2o2bo<br /> 2bo3bo3bo2b2o9bobobobobo2bo$5bo2bobobobobo9b2o2bo3bo3bo2bo2b2o$6b2ob2o<br /> b4o3bo5bo2bobo6b2o$11bo4b2o7bobo6b3obo2bo$6b4obob2obo9bo4bo4bo2b3o$6bo<br /> 2bobobo2bo16b2obobo$10bo3b2o18bobo2b3o$34bobo4bo$35bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 3 ]]<br /> |caption = p6 loaf hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 2o22b2o$2o22b2o3$bo22bo$bobo18bobo$b2o2bo14bo2b2o$3b2o16b2o$4bo5bo4bo<br /> 5bo$9b2o4b2o$4b2o2bobo4bobo2b2o$4b2o2b2o6b2o2b2o2$4b2o2b2o6b2o2b2o$4b<br /> 2o2bobo4bobo2b2o$9b2o4b2o$4bo5bo4bo5bo$3b2o16b2o$b2o2bo14bo2b2o$bobo<br /> 18bobo$bo22bo3$2o22b2o$2o22b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 4 ]]<br /> |caption = p8 century hassler, co-discovered with iNoMed&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 45bo4bo$44b8o$46bo2bo$46bo2bo$46bo2bo$47b2o$47b2o$41b2o10b2o$41bo5b2o<br /> 5bo$39bobo5b2o5bobo$39b2ob3o6b3ob2o$42bobo6bobo$39b2obobo6bobob2o$38bo<br /> bob3o6b3obobo$38bobobo3bo2bo3bobobo$39bo2bo10bo2bo$40b2o2bo6bo2b2o$42b<br /> 3o6b3o$42bo10bo$39b2obo10bob2o$39b2obo2bob2obo2bob2o$42bobob4obobo$39b<br /> 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o$31bo2bob2obo2bo$31bobo2b2o2bobo$30b2obo6bob2o$33bob4obo17b2o$17b2o<br /> 11b2obob4obob2o10b2obo2bo3bo2bo2bo$6bo2bo2bo3bo2bob2o8bobo6bobo12bob3o<br /> bo2b7o$6b7o2bob3obo9bo10bo9b3o6bo13b2o$2o13bo6b3o7b2o6b2o10bo2b6ob11o<br /> 2bo$bo2b11ob6o2bo11b2o15bo4bobobo5bo4bobo$bobo4bo5bobobo4bo32b2o3bo3b<br /> 2o4bobob2o$2obobo4b2o3bo3b2o16bo5bob5o8b2o4bo2bo2bo5bo$o5bo2bo2bo4b2o<br /> 8b5obo2bobo11b2obo3b2o5bo6b2ob2o$b2ob2o6bo5b2o3bob2o9bobo3bo9bo2bo8bo<br /> 7bobo$2bobo7bo8bo2bo9bo7bo9bo2bo8bo7bobo$2bobo7bo8bo2bo9bo3bobo9b2obo<br /> 3b2o5bo6b2ob2o$b2ob2o6bo5b2o3bob2o11bobo2bob5o8b2o4bo2bo2bo5bo$o5bo2bo<br /> 2bo4b2o8b5obo5bo16b2o3bo3b2o4bobob2o$2obobo4b2o3bo3b2o32bo4bobobo5bo4b<br /> obo$bobo4bo5bobobo4bo15b2o11bo2b6ob11o2bo$bo2b11ob6o2bo10b2o6b2o7b3o6b<br /> o13b2o$2o13bo6b3o9bo10bo9bob3obo2b7o$6b7o2bob3obo12bobo6bobo8b2obo2bo<br /> 3bo2bo2bo$6bo2bo2bo3bo2bob2o10b2obob4obob2o11b2o$17b2o17bob4obo$33b2ob<br /> o6bob2o$34bobo2b2o2bobo$34bo2bob2obo2bo$35bob2o2b2obo$34b2ob2o2b2ob2o<br /> 2$34b2o2b4o2b2o$33bobo2bo2bo2bobo$34bo10bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 4 ]]<br /> |caption = p8 hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 35bo2bob2obo2bo$35b4ob2ob4o$33b2o12b2o$32bo3b2ob4ob2o3bo$33b3obobo2bob<br /> ob3o$37bobo2bobo$35bob2ob2ob2obo2$36b10o$32b2o14b2o$32bo6b4o6bo$33b3o<br /> 3bo2bo3b3o$35bobo6bobo$17b2o14b3o10b3o$6bo2bo2bo3bo2bob2o9bo4bo6bo4bo<br /> 7b2o$6b7o2bob3obo10b2o2b2ob4ob2o2b2o3b2obo2bo3bo2bo2bo$2o13bo6b3o12bob<br /> 4obo9bob3obo2b7o$bo2b11ob6o2bo12bo6bo6b3o6bo13b2o$bobo4bo5bobobo4bo27b<br /> o2b6ob11o2bo$2obobo4b2o3bo3b2o19b2o10bo4bobobo5bo4bobo$o5bo2bo2bo4b2o<br /> 8b5obo21b2o3bo3b2o4bobob2o$b2ob2o6bo5b2o3bob2o11bo3bob5o8b2o4bo2bo2bo<br /> 5bo$2bobo7bo8bo2bo9bo3bo10b2obo3b2o5bo6b2ob2o$2bobo7bo8bo2bo9bobo2bobo<br /> 9bo2bo8bo7bobo$b2ob2o6bo5b2o3bob2o10bo3bo9bo2bo8bo7bobo$o5bo2bo2bo4b2o<br /> 8b5obo3bo11b2obo3b2o5bo6b2ob2o$2obobo4b2o3bo3b2o21bob5o8b2o4bo2bo2bo5b<br /> o$bobo4bo5bobobo4bo10b2o19b2o3bo3b2o4bobob2o$bo2b11ob6o2bo27bo4bobobo<br /> 5bo4bobo$2o13bo6b3o6bo6bo12bo2b6ob11o2bo$6b7o2bob3obo9bob4obo12b3o6bo<br /> 13b2o$6bo2bo2bo3bo2bob2o3b2o2b2ob4ob2o2b2o10bob3obo2b7o$17b2o7bo4bo6bo<br /> 4bo9b2obo2bo3bo2bo2bo$27b3o10b3o14b2o$29bobo6bobo$27b3o3bo2bo3b3o$26bo<br /> 6b4o6bo$26b2o14b2o$30b10o2$29bob2ob2ob2obo$31bobo2bobo$27b3obobo2bobob<br /> 3o$26bo3b2ob4ob2o3bo$27b2o12b2o$29b4ob2ob4o$29bo2bob2obo2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 4 ]]<br /> |caption = p8 hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 22b2o$22b2o2$22b4o$18b2o2bo2bo2b2o$18bobobo2bobobo$20bob3o2bo$19b2obo<br /> 2bo2bo$23bob2obo$23bo2b2o$24b3o$7b2o14bob2o$6bobo15bo$5bo13bobo5bo$b2o<br /> bob2o10bob2o2bobob2o$bob2o3bob2o6bo3bo2bob3o$5bob2o2b3o$2b3o2b2o3b2o5b<br /> 3o$2bo10bo2bo$3b4o6bo9b2o$3o2bobo5bo3bob2o2b2o$o2bo2b2o5bo5b2o$b2o10bo<br /> 2bo$14bo$12bobobo$11bobob2o$11bobo$12b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 4 ]]<br /> |caption = p8 block hassler, monomerized by Tanner Jacobi&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 27bob2o4b2obo$27b2o2bo2bo2b2o$25b2o3bo4bo3b2o$24bo3b2ob4ob2o3bo$25b3ob<br /> obo2bobob3o$27bobobo2bobobo$30bo4bo$31bo2bo$31bo2bo2$28b2o6b2o$28bo8bo<br /> $29b2o4b2o$31bo2bo$27b12o$26bo12bo$27b4o4b5o2$3bo23b3o6b2o$2bobo21bo2b<br /> o6bobo17bo$2bobo10bo3b2o5b2o2b6o2bo16bobo$2o2b2o8bobobobo17bobo3bo10bo<br /> bo$bobo6b2o2bobobo20bobobobo8b2o2b2o$o2b3o4bobobobob2o21bobobo2b2o6bob<br /> o$obo3bo5bobobo2bo20b2obobobobo4b3o2bo$bob3obo4bo2bo2bo12b3o6bo2bobobo<br /> 5bo3bobo$3bo3bo2bob2obo3bo11b3o7bo2bo2bo4bob3obo$3bo3bo2bob2obo3bo6b3o<br /> 2b3o6bo3bob2obo2bo3bo$bob3obo4bo2bo2bo7b3o11bo3bob2obo2bo3bo$obo3bo5bo<br /> bobo2bo6b3o12bo2bo2bo4bob3obo$o2b3o4bobobobob2o20bo2bobobo5bo3bobo$bob<br /> o6b2o2bobobo21b2obobobobo4b3o2bo$2o2b2o8bobobobo20bobobo2b2o6bobo$2bob<br /> o10bo3bobo17bobobobo8b2o2b2o$2bobo16bo2b6o2b2o5b2o3bo10bobo$3bo17bobo<br /> 6bo2bo21bobo$22b2o6b3o23bo2$20b5o4b4o$20bo12bo$21b12o$25bo2bo$23b2o4b<br /> 2o$22bo8bo$22b2o6b2o2$25bo2bo$25bo2bo$24bo4bo$21bobobo2bobobo$19b3obob<br /> o2bobob3o$18bo3b2ob4ob2o3bo$19b2o3bo4bo3b2o$21b2o2bo2bo2b2o$21bob2o4b<br /> 2obo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 5 ]]<br /> |caption = p9 traffic light hassler, co-discovered with praosylen&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 12bo7bo6bo$11bobo8bo3bobo$b2o4b3obo5bo4bo5bob3o4b2o$bo2bo10b2o6b2o10bo<br /> 2bo$2b4o4b2o3b2o6b2o3b2o4b4o$5bobob3o5bo4bo5b3obobo$2b5obo8bo13bob5o$<br /> 2bo3bo4b2o6bo7b2o4bo3bo$5b2obob3o14b3obob2o$5bobobobo16bobobobo$6bo2bo<br /> 20bo2bo$2o7b2o18b2o7b2o$o2bobo2b2o20b2o2bobo2bo$b2ob2o3bo20bo3b2ob2o$<br /> 2bo3b2o24b2o3bo$o2b4o26b4o2bo$2obo3bobo20bobo3bob2o$bobo2b2o24b2o2bobo<br /> $o2b2ob2o24b2ob2o2bo$obo2bo3bo20bo3bo2bobo$bobob4obo18bob4obobo$3bo6bo<br /> 18bo6bo$3bo3b2ob2o16b2ob2o3bo$b2ob2obobo20bobob2ob2o$2bobo2bobo20bobo<br /> 2bobo$2bo4bob2o18b2obo4bo$obo2bo2bo2bo16bo2bo2bo2bobo$2ob2ob2o2b2o16b<br /> 2o2b2ob2ob2o$3bobo28bobo$3bobo28bobo$4bo30bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 5 ]]<br /> |caption = p10 unnamed object hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 10b2o3b2o$2o8b2o3b2o8b2o$o2b3o15b3o2bo$b2o21b2o$6bo3bo5bo3bo$6bo2bobo<br /> 3bobo2bo$b2o5bo3bobo3bo5b2o$o2b3o3bobo3bobo3b3o2bo$2o8bo5bo8b2o5$2o8bo<br /> 5bo8b2o$o2b3o3bobo3bobo3b3o2bo$b2o5bo3bobo3bo5b2o$6bo2bobo3bobo2bo$6bo<br /> 3bo5bo3bo$b2o21b2o$o2b3o15b3o2bo$2o8b2o3b2o8b2o$10b2o3b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 5 ]]<br /> |caption = p10 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 11b2o$11b2o$20b2o$16b3o2bo$19b2o$6b2o2b3o2bo$6b2o7bo$10bobo6b2o$11bo4b<br /> 3o2bo$20b2o$2o$o2b3o4bo$b2o6bobo$6bo7b2o$6bo2b3o2b2o$b2o$o2b3o$2o$9b2o<br /> $9b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 5 ]]<br /> |caption = p10 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 9b2o4b2o$9bobo2bobo$11bo2bo$10bo4bo$10bo4bo8b2o$10bo4bo5b2o2bo$12b2o7b<br /> ob2o$2o18bo$o2b2o4b8o3bo$b2obo4bob4obo4bob2o$5bo3b8o4b2o2bo$5bo18b2o$b<br /> 2obo7b2o$o2b2o5bo4bo$2o8bo4bo$10bo4bo$11bo2bo$9bobo2bobo$9b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 5 ]]<br /> |caption = p10 traffic light hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 21bobo$19b3ob3o$18bo7bo$18bo2b3o2bo$17b2obobobob2ob2o$17bo2b2ob2o5bo8b<br /> 2o$14b2obobo2bobo5bob2o5bo$4b2o8bo2bobo3bo5b2obobo5bo$5bo5b2obobo3bo<br /> 10bo2bo4b2o$4bo5bobob2o6bo8b2obob2o$4b2o4bo2bo6bobo7b3obobob5o$7b2obob<br /> 2o6b2o7bo2bobo5bo2bo$2b5obobob3o17bo2b5o2b2o$bo2bo5bobo2bo16b4o3bo$b2o<br /> 2b5o2bo10bo7bobo5b2o$5bo3b4o4bo4b2o7bobo5b2o$4b2o5bobo7b2o4bo4b4o3bo$<br /> 4b2o5bobo7bo10bo2b5o2b2o$5bo3b4o16bo2bobo5bo2bo$b2o2b5o2bo17b3obobob5o<br /> $bo2bo5bobo2bo7b2o6b2obob2o$2b5obobob3o7bobo6bo2bo4b2o$7b2obob2o8bo6b<br /> 2obobo5bo$4b2o4bo2bo10bo3bobob2o5bo$4bo5bobob2o5bo3bobo2bo8b2o$5bo5b2o<br /> bo5bobo2bobob2o$4b2o8bo5b2ob2o2bo$14b2ob2obobobob2o$18bo2b3o2bo$18bo7b<br /> o$19b3ob3o$21bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 5 ]]<br /> |caption = p10 LoM hassler, reduced by [[Dongook Lee]]&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 8b2o4b2o$8bobo2bobo$10bo2bo$9bo4bo$2o7b2o2b2o$o10b2o$2bo$2bobo2$4bobo<br /> 5b3o$12bobo$6bobo2b2obo$17bobo$8b2o7bobo$11bo5b3o$10b2o8b3o$20bobo$20b<br /> obo$25bobo$25bobo$25b3o$28b3o$28bobo$28bobo9b2o$33bobo4bo$33bobo6b2o$<br /> 33b3o$36b3o4bobo$36bobo$36bobo6bobo2$47bobo$49bo$39b2o10bo$37b2o2b2o7b<br /> 2o$37bo4bo$38bo2bo$36bobo2bobo$36b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 5 ]]<br /> |caption = p10 wick stabilization (the wick itself was already known)&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> b2o$2bo12b2o4b2o$bo13bobo2bobo11b2o$b2o6b2o6bo2bo13bo$3bo5b2o5bo4bo13b<br /> o$b2o2bo3b2o5bo4bo4b2o6b2o$o2bo2bo3b2o4bo4bo4b2o5bo$2o8bobo5b2o6b2o3bo<br /> 2b2o$5bobo5bo11b2o3bo2bo2bo$7b2obo6b3o4bobo8b2o$6b3obo3bobo3bo2bo5bobo<br /> $6b3obo3bo11bob2o$7b2obo11bo3bob3o$5bobo5bo2bo3bobo3bob3o$2o8bobo4b3o<br /> 6bob2o$o2bo2bo3b2o11bo5bobo$b2o2bo3b2o6b2o5bobo8b2o$3bo5b2o4bo4bo4b2o<br /> 3bo2bo2bo$b2o6b2o4bo4bo5b2o3bo2b2o$bo13bo4bo5b2o5bo$2bo13bo2bo6b2o6b2o<br /> $b2o11bobo2bobo13bo$14b2o4b2o12bo$34b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 5 ]]<br /> |caption = p10 worker bee<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 10bo10bo$10b3o6b3o$13bo4bo3b2o$12b2o5b3o2bo$8b2o11bobobob2obo$8bo13bo<br /> 2bobob2o$9bo4b3o4bo2b2o$8b2o3bo3bo8bo$12bo5bobo$5bo6bo5bo6bo$10bobo5bo<br /> $4bo8bo3bo3b2o$5b2o2bo4b3o4bo$2obobo2bo13bo$ob2obobobo11b2o$6bo2b3o5b<br /> 2o$7b2o3bo4bo$9b3o6b3o$9bo10bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 6 ]]<br /> |caption = p11 honey farm hassler using rattlesnakes<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 24bo$24b3o$21bo5bo$21b6obo$26bobo$21b3o4b2o$21bo3b3o$22bo4bo4bo$5bo3b<br /> 2o15bo4bobo4bo$bo2bobobo2bo13bo5bobo2b3o$b4obob2obo18b2obobo$6bo4b2o<br /> 10b2o3bo4bo2b3o$b2ob2ob4o3bo7bobo6b3obo2bo$o2bobobobobo6bo3bo2bobo6b2o<br /> $2o2bo2bo3bo3bo2b2o3b2o2bo3bo3bo2bo2b2o$7b2o6bobo2bo3bo6bobobobobo2bo$<br /> 4bo2bob3o6bobo7bo3b4ob2ob2o$4b3o2bo4bo3b2o10b2o4bo$7bobob2o18bob2obob<br /> 4o$4b3o2bobo5bo13bo2bobobo2bo$4bo4bobo4bo15b2o3bo$10bo4bo4bo$15b3o3bo$<br /> 13b2o4b3o$14bobo$14bob6o$15bo5bo$16b3o$18bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 6 ]]<br /> |caption = p12 R-pentomino hassler, reduced by Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 10bo20b2o3bo$4bo4bobo18bo2bobobo2bo$4b3o2bobo18bob2obob4o$7bobob2o16b<br /> 2o4bo$4b3o2bo4bo12bo3b4ob2ob2o$4bo2bob3o18bobobobobo2bo$7b2o6bo6bo3bo<br /> 3bo3bo2bo2b2o$2o2bo2bo3bo3bo3bo3b2obo6b2o$o2bobobobobo5b2o3bo7b3obo2bo<br /> $b2ob2ob4o3bo4bo7bo4bo2b3o$6bo4b2o16b2obobo$b4obob2obo18bobo2b3o$bo2bo<br /> bobo2bo18bobo4bo$5bo3b2o20bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 6 ]]<br /> |caption = Unnamed p12<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 17b2o$16bobo$16bo$14b2ob4o$10b2obo3bo2bo$10b2obobo5b2o$13bo4b3o2bo$13b<br /> ob2o4b2obo$14bo3bobo3bo$4bo5bo4b3o3b3o3bo5bo$3bobo3bobo5bobobo4bobo3bo<br /> bo$2bo2bo3bobo6b3o5bobo3bo2bo$2bobob2obob2o6bo5b2obob2obobo$3b2obob2o<br /> 3bo10bo3b2obob2o$5b2o3b2ob2o8b2ob2o3b2o$3b2o3b2o4bo8bo4b2o3b2o$3bo2bo<br /> 3bo3bo3b2o3bo3bo3bo2bo$2obob4obo3bo2bo2bo2bo3bob4obob2o$bo2b2o2bobo3bo<br /> 8bo3bobo2b2o2bo$bo5bo2bob2o3bo2bo3b2obo2bo5bo$2b4obob2obo12bob2obob4o$<br /> 6bo2bo2bo12bo2bo2bo$4bo4bobo14bobo4bo$4b2o4bo16bo4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 6 ]]<br /> |caption = p12, found by hand<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 20b2o$16b2obobo$17bobo$17bob2o$16b2obobob2ob2o$15bo3b2o3bobo$16b3o3bob<br /> obo$19b7o$16b2o$15bobob2ob6o$15bo5bobo4bo$16b3obobo2b3o$18b2o4b2o5b2o<br /> 3bo$10bo19bo2bobobo2bo$4bo4bobo18bob2obob4o$4b3o2bobo17b2obo2bo$7bobob<br /> 2o15bo2bob2ob5o$4b4obo3bo14bo2bo2bobobo2bo$4bo2bobo3bo3b2ob3o5bo5bo2bo<br /> 2b2o$6b2obo3bo3b2o4b2o3bo3bob2o$2o2bo2bo5bo5b3ob2o3bo3bobo2bo$o2bobobo<br /> 2bo2bo14bo3bob4o$b5ob2obo2bo15b2obobo$6bo2bob2o17bobo2b3o$b4obob2obo<br /> 18bobo4bo$bo2bobobo2bo19bo$5bo3b2o5b2o4b2o$14b3o2bobob3o$13bo4bobo5bo$<br /> 14b6ob2obobo$24b2o$16b7o$15bobobo3b3o$15bobo3b2o3bo$14b2ob2obobob2o$<br /> 21b2obo$22bobo$20bobob2o$20b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 6 ]]<br /> |caption = p12 [[blonk-tie]]/[[procrestinator]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p13honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p13 honey farm hassler, co-discovered with wwei23 (dimer)&lt;br/&gt; and JP21 (monomer).&lt;br/&gt; <br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 19bobobobo$18bob2ob2obo$16b3o7b3o$15bo4b2ob2o4bo$15bo2b2obobob2o2bo$<br /> 14b2obobobobobobob2o$15bobo3b3o3bobo$15bo6bo6bo$16b2o2bobobo2b2o$21b3o<br /> $22bo2$22bo$22bo$15bo6bo$15b3o$5bo12bo22bo$3b5o9b2o20b5o$2bo5bo29bo5bo<br /> $2bo2b2obo14bo14bob2o2bo$b2obo17b3o17bob2o$o3b2o15bo3bo15b2o3bo$bobo4b<br /> o12b2ob2o12bo4bobo$2ob4o2bo4b2o15b2o4bo2b4ob2o$6b5o2b3o15b3o2b5o$2ob4o<br /> 2bo4b2o15b2o4bo2b4ob2o$bobo4bo12b2ob2o12bo4bobo$o3b2o15bo3bo15b2o3bo$b<br /> 2obo17b3o17bob2o$2bo2b2obo14bo14bob2o2bo$2bo5bo29bo5bo$3b5o20b2o9b5o$<br /> 5bo22bo12bo$29b3o$24bo6bo$24bo$24bo2$24bo$23b3o$18b2o2bobobo2b2o$17bo<br /> 6bo6bo$17bobo3b3o3bobo$16b2obobobobobobob2o$17bo2b2obobob2o2bo$17bo4b<br /> 2ob2o4bo$18b3o7b3o$20bob2ob2obo$21bobobobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p13 pi-heptomino hassler, co-discovered with EvinZL&lt;br/&gt; <br /> }}<br /> |{{EmbedViewer<br /> |pname = p14honeyfarmhassler2<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p14 honey farm hassler, using a different mechanism&lt;br/&gt; from the already known p14 honey farm hassler.&lt;br/&gt; Reduced by Matthias Merzenich.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = p14honeyfarmhassler3<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = A third honey farm hassler, which can support one of Entity Valkyrie's wicks.&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 12b2o$12bo$14bo$10b5o$10bo$5b2ob2o3b2o$5b2obo4bobo$8bo4bobo2b2o$5b4ob<br /> 3o2bobo2bo$5bo4bo2bobob2obo$3b2o3b2o3bobobo2b2o$3bo4bo3bo2b2ob2o$2obo<br /> 4bo2bo5bo2bobo4bo$o2bob3ob2o6b2obob3obobo$2b2obo10b2o2bo4b2o2bo$6b6o3b<br /> ob2obob2o3bobo11bobo$11bo2bo4b2obob2obob2o9bob2o$8b3ob4o6bo3bo4bo4b2o<br /> 2bo$7bobobobobo3b3ob2obob3o5bobobob2o$7bo3bo4bob3o2bo2bobo8bo2bo2bo$8b<br /> 3ob5ob2o5bo15bo$10bo7bo4b2o14bo$12b2ob3o4bobo7b2o5b3o$13bobo2b2obo3bo<br /> 5bo2bo12b2ob2o$13bo2bobo2b2o2bo2b2obo2bob2o10bobo$14bobo3bo2b2o3b2obo<br /> 2bob2o6bobo4bo$13b2o2b3o11bo2bo9bo2b4o$12bo2b2o15b2o10b2o$13bo4b2o4b2o<br /> 22bo$14b3obo5b2o15b2o4bobo$16bobo12bobo7b2o5b2o$17bo5b4o4bobo$22bo4bo<br /> 3b3o6b4o$22bo4bo11bo4bo$23b4o6b3o3bo4bo$33bobo4b4o5bo$17b2o5b2o7bobo<br /> 12bobo$17bobo4b2o15b2o5bob3o$18bo22b2o4b2o4bo$21b2o10b2o15b2o2bo$16b4o<br /> 2bo9bo2bo11b3o2b2o$15bo4bobo6b2obo2bob2o3b2o2bo3bobo$16bobo10b2obo2bob<br /> 2o2bo2b2o2bobo2bo$15b2ob2o12bo2bo5bo3bob2o2bobo$25b3o5b2o7bobo4b3ob2o$<br /> 27bo14b2o4bo7bo$25bo15bo5b2ob5ob3o$23bo2bo2bo8bobo2bo2b3obo4bo3bo$23b<br /> 2obobobo5b3obob2ob3o3bobobobobo$26bo2b2o4bo4bo3bo6b4ob3o$23b2obo9b2obo<br /> b2obob2o4bo2bo$23bobo11bobo3b2obob2obo3b6o$37bo2b2o4bo2b2o10bob2o$38bo<br /> bob3obob2o6b2ob3obo2bo$39bo4bobo2bo5bo2bo4bob2o$47b2ob2o2bo3bo4bo$45b<br /> 2o2bobobo3b2o3b2o$46bob2obobo2bo4bo$46bo2bobo2b3ob4o$47b2o2bobo4bo$51b<br /> obo4bob2o$52b2o3b2ob2o$56bo$52b5o$52bo$54bo$53b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p14 pi hassler, reduced by Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 6bobo16bobo$6b2obo14bob2o$9bo2b2o6b2o2bo$6b2obobobo6bobobob2o$6bo2bo2b<br /> o8bo2bo2bo$8b2o14b2o$9b2o12b2o$7bobo6b2o6bo$2ob2o11b2o7bo$bobo8b2o2b2o<br /> 2b2o$o4bo2bo3b2o2b2o2b2o$b7o8b2o15b2ob2o$16b2o12bo3bobo$3b2o24bo2bo4bo<br /> $2bo6b2o19b7o$2b2o4bo2bo$17b2o14b2o$8bo2bo6bo8b2o6bo$8bo2bo4b3o7bo2bo<br /> 4b2o$8bo2bo$8bo2bo14bo2bo$26bo2bo$2b2o4bo2bo7b3o4bo2bo$2bo6b2o8bo6bo2b<br /> o$3b2o14b2o$26bo2bo4b2o$b7o19b2o6bo$o4bo2bo24b2o$bobo3bo12b2o$2ob2o15b<br /> 2o8b7o$16b2o2b2o2b2o3bo2bo4bo$16b2o2b2o2b2o8bobo$12bo7b2o11b2ob2o$13bo<br /> 6b2o6bobo$13b2o12b2o$12b2o14b2o$10bo2bo2bo8bo2bo2bo$10b2obobobo6bobobo<br /> b2o$13bo2b2o6b2o2bo$10b2obo14bob2o$10bobo16bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p14 R-pentomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 11bobo16bobo$11b2obo14bob2o$14bo2b2o6b2o2bo$11b2obobobo6bobobob2o$11bo<br /> 2bobo10bobo2bo$13bo2b2o8b2o2bo$12b2ob2o4b2o4b2ob2o$13bob2o2b6o2b2obo$<br /> 14b3ob8ob3o$16b2o8b2o$17bo8bo$18b8o$2b2o5b2o8b6o$2b2o5b2o10b2o9bo3bo$<br /> 30b2obobob2o$28b2o3bobo3b2o$2b2o5b2o7b3o7b3o2bobo2b3o$bob2o3b2obo6bo2b<br /> 2o5b3ob2ob2ob3o$3ob2ob2ob3o5b2o2bo6bob2o3b2obo$3o2bobo2b3o7b3o7b2o5b2o<br /> $2o3bobo3b2o$2b2obobob2o$4bo3bo9b2o10b2o5b2o$16b6o8b2o5b2o$15b8o$14bo<br /> 8bo$13b2o8b2o$11b3ob8ob3o$10bob2o2b6o2b2obo$9b2ob2o4b2o4b2ob2o$10bo2b<br /> 2o8b2o2bo$8bo2bobo10bobo2bo$8b2obobobo6bobobob2o$11bo2b2o6b2o2bo$8b2ob<br /> o14bob2o$8bobo16bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p14 LoM hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 19bobo$18bob2o2bo$18bo3b3o$14bob2ob2o$14b2obobob2o$22bo$18b4o$17bo4b3o<br /> $21bo2bo$16bo4bobo$12b2obo3bobob2o$12b2obo2bob2o2bo$15bobo4b2o$12b4obo<br /> bobo$11bo4bo4bo$12b3obob3o$7b2o5bo3bo$2o6b3o$o5bo4bo4bo$b3obob4o5bo$3b<br /> obobo$3bo2bobobo$7bo3bo4b2o$2bo3bo4bo3bo2bo$bobo2bo4bo4b2o8bo$bobo2bo<br /> 4bo13bobo$2bo3bo4bo6bo6bobo$7bo3bo4bo7b2ob2o$3bo2bobobo9bo8bo$3bobobo<br /> 7bo3b2o3b4o2bo$b3obob4o4b2o4b2o5b2o$o5bo4bo9b3o2b2o2b3o$2o6b3o10b3o5bo<br /> 3bo$7b2o16bobo2b2o2bo$23bobob5ob2o2bo$21b3ob2o4b2o2b3o$20bo3bo3bo3b3o$<br /> 20b2o2bob2obo5bo$25bobo2b5o$27bobo5b3o$26b2ob4obo2bo$27bobo4bo$27bo2b<br /> 4o$24b2ob2obo$24bobo4b5o$27b4o4bo$29bo2bo$31b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p14 beehive hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 114b2o12b2o$114bobo4b2o4bobo$116bo3bo2bo3bo$116b2o3b2o3b2o$118bo6bo$<br /> 116b2o3b2o3b2o$115bo2b8o2bo15b2o2b2o$100b2o2b2o7bo2bo2b6o2bo2bo13bo3bo<br /> 5bo11bo11b2o6b2o2b2o$58b2o2b2o6b2o11bo11bo5bo3bo7b2obobo6bobob2o10b2ob<br /> obobo4bobo3b2o5b3o10bo5bobo2b2o3b2o$53b2o3b2o2bobo5bo10b3o5b2o3bobo4bo<br /> bobob2o5bobo10bobo11bobobobo5bo2bobobo2bo5bo3b2ob3o6bo9bobo3b2o16bo6b<br /> 2o7b2o$13b2o7b2o6bo16b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo5bob2o<br /> b6ob2obo8b2obo3bo6b2ob2obo4b6o3bobobo5b2ob9obobo3bo5b2o9bobo5bo9bo$13b<br /> o9bo5bobo9b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob2o6bo3bob2o3bo3b6o3bo8bob<br /> ob2o2b2o3bo4bo3b4o6b4obo7bobo8b2obob2obo4bobo10bobob2obo9bob2obo$8bob<br /> 2obo9bob2obobo10bobo4bob2obob2o8bobo7bob4o6b4o3bo4bo3b2o2b2obobo7b4o<br /> 15bo9b2ob2o3b2o3bob5o4bobo8bob2o2b2o4bobobob2o2bo9b3o2b2obob2o7b2obob<br /> 2o$8b2obob2o7b2obob2o2b3o9bo2b2obobobo4b2o2b2obo8bobo4b5obo3b2o3b2ob2o<br /> 9bo27bob3o7bobob3o2b2o3b3obo2bob2obob2o2bobobo2b3o4bo3bo3bobo4bobobo3b<br /> 2o8bo3bo8b2o3b2o$b2o3b2o8bo3bo8b2o3bobobo4bobo3bo3bo4b3o2bobobo2b2obob<br /> 2obo2bob3o3b2o2b3obobo7b3obo24bobo2bo2b5obobobo2bo12bobo6bo4bobob3o2b<br /> 2o3bobo2bo2bobobo7bo2bob5obo3bob5obo2bobo2bo$o2bobo2bob5obo3bob5obo2bo<br /> 7bobobo2bo2bobo3b2o2b3obobo4bo6bobo12bo2bobobob5o2bo2bobo8bo8bob3obo4b<br /> o6bo2b2o2b2obob2ob2o2bob2ob2obo2b2o5b3o8b4obobob2o3bo4bo2bob2o4bo2bobo<br /> 2bo4b2obo3bobo$obo3bob2o4bo2bobo2bo4b2obo2bo4bo3b2obobob4o8b3o5b2o2bob<br /> 2ob2obo2b2ob2obob2o2b2o2bo6bo4bob3obo2bobo11b3o4bo4bob2o2bo2b2obob2ob<br /> 2o3b2o2bo6bobob2o4bobo8b2o2bobo4b2o2b2obo3b4o2b2ob2o2b4o3bob2obo$bob2o<br /> bo3b4o2b2ob2o2b4o3bob2o2b2o4bobo2b2o8bobo4b2obobo6bo2b2o3b2ob2obob2o2b<br /> o2b2obo4bo4b3o6bobo6bo7b2o5bobobo2bo5b4o3b2o3bo14bob2ob3o3bo4b2o3bo12b<br /> 2o2bo2bo3bobo3bo2bo2b2o2bo$3bo2b2o2bo2bo3bobo3bo2bo2b2o12bo3b2o4bo3b3o<br /> b2obo14bo3b2o3b4o5bo2bobobo5b2o7bo10bo7b2o5bobobo2bo5b4o3b2o3bo14bob2o<br /> b3o3bo4b2o3bo12b2o2bo2bo3bobo3bo2bo2b2o2bo$3bo2b2o2bo2bo3bobo3bo2bo2b<br /> 2o12bo3b2o4bo3b3ob2obo14bo3b2o3b4o5bo2bobobo5b2o7bo6bobo6b3o4bo4bob2o<br /> 2bo2b2obob2ob2o3b2o2bo6bobob2o4bobo8b2o2bobo4b2o2b2obo3b4o2b2ob2o2b4o<br /> 3bob2obo$bob2obo3b4o2b2ob2o2b4o3bob2o2b2o4bobo2b2o8bobo4b2obobo6bo2b2o<br /> 3b2ob2obob2o2bo2b2obo4bo4b3o11bobo2bob3obo4bo6bo2b2o2b2obob2ob2o2bob2o<br /> b2obo2b2o5b3o8b4obobob2o3bo4bo2bob2o4bo2bobo2bo4b2obo3bobo$obo3bob2o4b<br /> o2bobo2bo4b2obo2bo4bo3b2obobob4o8b3o5b2o2bob2ob2obo2b2ob2obob2o2b2o2bo<br /> 6bo4bob3obo8bo8bobo2bo2b5obobobo2bo12bobo6bo4bobob3o2b2o3bobo2bo2bobob<br /> o7bo2bob5obo3bob5obo2bobo2bo$o2bobo2bob5obo3bob5obo2bo7bobobo2bo2bobo<br /> 3b2o2b3obobo4bo6bobo12bo2bobobob5o2bo2bobo24bob3o7bobob3o2b2o3b3obo2bo<br /> b2obob2o2bobobo2b3o4bo3bo3bobo4bobobo3b2o8bo3bo8b2o3b2o$b2o3b2o8bo3bo<br /> 8b2o3bobobo4bobo3bo3bo4b3o2bobobo2b2obob2obo2bob3o3b2o2b3obobo7b3obo<br /> 27bo9b2ob2o3b2o3bob5o4bobo8bob2o2b2o4bobobob2o2bo9b3o2b2obob2o7b2obob<br /> 2o$8b2obob2o7b2obob2o2b3o9bo2b2obobobo4b2o2b2obo8bobo4b5obo3b2o3b2ob2o<br /> 9bo15b4o7bobob2o2b2o3bo4bo3b4o6b4obo7bobo8b2obob2obo4bobo10bobob2obo9b<br /> ob2obo$8bob2obo9bob2obobo10bobo4bob2obob2o8bobo7bob4o6b4o3bo4bo3b2o2b<br /> 2obobo8bo3b6o3bo3b2obo3bo6b2ob2obo4b6o3bobobo5b2ob9obobo3bo5b2o9bobo5b<br /> o9bo$13bo9bo5bobo9b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob2o6bo3bob2o8bob2o<br /> b6ob2obo5bobobobo5bo2bobobo2bo5bo3b2ob3o6bo9bobo3b2o16bo6b2o7b2o$13b2o<br /> 7b2o6bo16b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo11bobo10bobo5b2obo<br /> bobo4bobo3b2o5b3o10bo5bobo2b2o3b2o$53b2o3b2o2bobo5bo10b3o5b2o3bobo4bob<br /> obob2o10b2obobo6bobob2o7bo3bo5bo11bo11b2o6b2o2b2o$58b2o2b2o6b2o11bo11b<br /> o5bo3bo13bo2bo2b6o2bo2bo7b2o2b2o$100b2o2b2o15bo2b8o2bo$122b2o3b2o3b2o$<br /> 124bo6bo$122b2o3b2o3b2o$122bo3bo2bo3bo$120bobo4b2o4bobo$120b2o12b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p14<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 14bo$7b2o5b3o$2o6b3o6bo19b2o$o5bo4bo4b2o17b3o6b2o$b3obob4o23bo4bo5bo$<br /> 3bobo4bo24b4obob3o$4bobobo26bo4bobo$6b2o2b2o7b2o16bobobo$2bo3b2o2b3o5b<br /> o2bo12b2o2b2o$bobob3o2b3o5b3o12b3o2b2o3bo$bobob3o2b3o20b3o2b3obobo$2bo<br /> 3b2o2b3o12b3o5b3o2b3obobo$6b2o2b2o12bo2bo5b3o2b2o3bo$4bobobo16b2o7b2o<br /> 2b2o$3bobo4bo26bobobo$b3obob4o24bo4bobo$o5bo4bo23b4obob3o$2o6b3o17b2o<br /> 4bo4bo5bo$7b2o19bo6b3o6b2o$29b3o5b2o$31bo10$20bo$13b2o5b3o$6b2o6b3o6bo<br /> $6bo5bo4bo4b2o$7b3obob4o$9bobo4bo$10bobobo16b2o5b2o$12b2o2b2o7b2o4b2o<br /> 5b2o$8bo3b2o2b3o5bo2bo3b2o5b2o$7bobob3o2b3o5b3o5b2o3b2o$7bobob3o2b3o<br /> 12b2o5b2o$8bo3b2o2b3o13bobobobo$12b2o2b2o16bobo$10bobobo19bobo$9bobo4b<br /> o12b3o2bobo2b3o$7b3obob4o12b2obobobobob2o$6bo5bo4bo15bo3bo$6b2o6b3o$<br /> 13b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 7 ]]<br /> |caption = p14 honey farm hassler; dimer and monomer<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p15honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p15 [[honey farm]] hassler. Also works with fumaroles.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 4b6o$3bo6bo8b3o$2bo8bo$3bo6bo7bo3bo$4b6o8bo3bo2$19b3o2$8bo$b3o3bobo9b<br /> 3o$6bo3bo$o3bo2bobo4bo3bo3bo$o3bo3bo4bobo2bo3bo$12bo3bo$b3o9bobo3b3o$<br /> 14bo2$b3o2$o3bo8b6o$o3bo7bo6bo$11bo8bo$b3o8bo6bo$13b6o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p15 traffic light hassler, co-discovered with Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 8bobo2bobo$4b2obo2bo2bo2bob2o36bobo2bobo$8bobo2bobo36b2obo2bo2bo2bob2o<br /> $56bobo2bobo3$bo21bo$bo5b2ob2o11bo25bo$obo5b3o11bobo24bo5b2ob2o$bo7bo<br /> 13bo24bobo5b3o$bo21bo25bo7bo$bo21bo25bo$bo13bo7bo25bo$obo11b3o5bobo24b<br /> o$bo11b2ob2o5bo24bobo8b2o$bo21bo25bo9bo$49bo10b3o$62bo2$9bobo2bobo$5b<br /> 2obo2bo2bo2bob2o$9bobo2bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = Pentadecathlon force field (p15). The form on the right was discovered by JP21.&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 18bo7bo45bo7bo$17b3o5b3o43b3o5b3o3$17b3o5b3o43b3o5b3o2$17bobo5bobo43bo<br /> bo5bobo$17bobo5bobo43bobo5bobo2$17b3o5b3o43b3o5b3o3$17b3o5b3o43b3o5b3o<br /> $18bo7bo37b2o6bo7bo$65bo$65bobo$66b2o$bo2bob2obo2bo4b3o5b3o4bo2bob2obo<br /> 2bo26b3o6b3o$2o2bo4bo2b2o3bobo5bobo3b2o2bo4bo2b2o25bobo6bobo$bo2bob2ob<br /> o2bo4b3o5b3o4bo2bob2obo2bo26b3o6b3o$84b2o$84bobo$86bo$18bo7bo44bo7bo6b<br /> 2o$17b3o5b3o42b3o5b3o3$17b3o5b3o42b3o5b3o2$17bobo5bobo42bobo5bobo$17bo<br /> bo5bobo42bobo5bobo2$17b3o5b3o42b3o5b3o3$17b3o5b3o42b3o5b3o$18bo7bo44bo<br /> 7bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = Two variations on a p15 traffic light hassler (note the different spacing).&lt;br/&gt; The one on the left can also be skewed 2 cells.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 8bo4bo$6b2ob4ob2o$8bo4bo$21b3o$3o18b3o$3o19bo$bo20bo$bo20bo$bo6b2o5b2o<br /> 4bobo$obo6b2o3bobo$7bobo4bobo$7bobo3b2o6bobo$obo4b2o5b2o6bo$bo20bo$bo<br /> 20bo$bo19b3o$3o18b3o$3o$10bo4bo$8b2ob4ob2o$10bo4bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p15 unnamed object hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 12b2o$12b2o4$8b2o2b3o$8b2o9b3o$12bobo4b3o$13bo5b3o$22b3o$3o19b3o$3o19b<br /> 3o$3o$3b3o5bo$3b3o4bobo$3b3o9b2o$10b3o2b2o4$11b2o$11b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 traffic light hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 34bo2bob2obo2bo$34b4ob2ob4o$32b2o12b2o$31bo3b2ob4ob2o3bo$32b3obobo2bob<br /> ob3o$34bobobo2bobobo$34b3o2b2o2b3o$35bo8bo$35b10o$31b2o14b2o$31bo2bobo<br /> b4obobo2bo$32b2o3b2o2b2o3b2o$35b2o6b2o$32b2o3b6o3b2o$31bo2bob8obo2bo$<br /> 31b2o14b2o$36bo6bo$17b2o17b8o$6bo2bo2bo3bo2bob2o15b4o4b2o11b2o$6b7o2bo<br /> b3obo24bo8b2obo2bo3bo2bo2bo$2o13bo6b3o19bobo9bob3obo2b7o$bo2b11ob6o2bo<br /> 19b2o7b3o6bo13b2o$bobo10bo7b2o15b3o11bo2b6ob11o2bo$2ob4o3b2o4bo3b3o16b<br /> obo12b2o7bo10bobo$o2bo5bobo4bo2b2obo4b2o2b2o6b3o13b3o3bo4b2o3b4ob2o$b<br /> 2ob2o4b2o6b2ob3o2bob2ob3o11b2o2b2o4bob2o2bo4bobo5bo2bo$2bobo4b3o9bo3b<br /> 2ob2ob3o10b3ob2obo2b3ob2o6b2o4b2ob2o$2bobo4b3o9bo3b2ob2ob3o10b3ob2ob2o<br /> 3bo9b3o4bobo$b2ob2o4b2o6b2ob3o2bob2ob3o10b3ob2ob2o3bo9b3o4bobo$o2bo5bo<br /> bo4bo2b2obo4b2o2b2o11b3ob2obo2b3ob2o6b2o4b2ob2o$2ob4o3b2o4bo3b3o13b3o<br /> 6b2o2b2o4bob2o2bo4bobo5bo2bo$bobo10bo7b2o12bobo16b3o3bo4b2o3b4ob2o$bo<br /> 2b11ob6o2bo11b3o15b2o7bo10bobo$2o13bo6b3o7b2o19bo2b6ob11o2bo$6b7o2bob<br /> 3obo9bobo19b3o6bo13b2o$6bo2bo2bo3bo2bob2o8bo24bob3obo2b7o$17b2o11b2o4b<br /> 4o15b2obo2bo3bo2bo2bo$34b8o17b2o$34bo6bo$29b2o14b2o$29bo2bob8obo2bo$<br /> 30b2o3b6o3b2o$33b2o6b2o$30b2o3b2o2b2o3b2o$29bo2bobob4obobo2bo$29b2o14b<br /> 2o$33b10o$33bo8bo$32b3o2b2o2b3o$32bobobo2bobobo$30b3obobo2bobob3o$29bo<br /> 3b2ob4ob2o3bo$30b2o12b2o$32b4ob2ob4o$32bo2bob2obo2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 39b2o3b2o$35bo3b2o3b2o$34bobo$16b2o3b2o6b2o3bo2bo$15b2obobob2o5b2o6bob<br /> 5o$14b3obobob3o8bo2b3obo4b2o$13bo3b2ob2o3bo7bobo2bobobo4bo$13bo11bo7bo<br /> 9bo2bo$14bo9bo4b2o2b3o7b3o$29b2o2bo8b2o$17b2ob2o12b2o8bo2b2o$16bobobob<br /> o9b3o7b3o2b2o$17bo3bo9bo2bo9bo$30bo4bobobo2bobo$31b2o4bob3o2bo$34b5obo<br /> 6b2o$26b3o11bo2bo3b2o$10b2o3b2o9bo14bobo$6bo3b2o3b2o4b2o3b2o4b2o3b2o3b<br /> o$5bobo14bo9b2o3b2o$2o3bo2bo11b3o$2o6bob5o$4bo2b3obo4b2o$4bobo2bobobo<br /> 4bo$4bo9bo2bo9bo3bo$2o2b3o7b3o9bobobobo$2o2bo8b2o12b2ob2o$5b2o8bo2b2o$<br /> 3b3o7b3o2b2o4bo9bo$2bo2bo9bo7bo11bo$bo4bobobo2bobo7bo3b2ob2o3bo$2b2o4b<br /> ob3o2bo8b3obobob3o$5b5obo6b2o5b2obobob2o$11bo2bo3b2o6b2o3b2o$12bobo$3b<br /> 2o3b2o3bo$3b2o3b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 R-pentomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 29b3o2b2o$15bo16bo2bo$15b3o10bo3b3o$18bo8bo$17b2o6bo5b4o$25bo8bo$19b3o<br /> 3bo3bo2b2o$18bo2bo4b2obobo$18b2obo5bobobo$25bobob2o$25b2o2$9b2o$5b2obo<br /> bo$4bobobo5bob2o$4bobob2o4bo2bo$2b2o2bo3bo3b3o$bo8bo$b4o5bo6b2o$8bo8bo<br /> $b3o3bo10b3o$o2bo16bo$2o2b3o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 B-heptomino hassler, reduced by iNoMed&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 37bo3bo$36bobobobo$37b2ob2o3$33b2o9b2o15b2o$33bob4ob4obo11b2obo2bo3bo<br /> 2bo2bo$34bo3bobo3bo13bob3obo2b7o$34bo3bobo3bo10b3o6bo13b2o$35b3o3b3o<br /> 11bo2b3ob2ob11o2bo$50bo7bo2bobobo7bo2bobo$17b2o30bo9bo2b3o3b3o4b2ob2o$<br /> 6bo2bo2bo3bo2bob2o25bo10bo2bo3bo3bo5bo2bo$6b7o2bob3obo27bo5bo2b5o6bo4b<br /> 2ob2o$2o13bo6b3o14b3o8b4o3bobobo3bo3bo5bobo$bo2b11ob2ob3o2bo14bobo8b4o<br /> 3bobobo3bo3bo5bobo$bobo2bo7bobobo2bo7bo9bobo7bo5bo2b5o6bo4b2ob2o$2ob2o<br /> 4b3o3b3o2bo9bo17bo10bo2bo3bo3bo5bo2bo$o2bo5bo3bo3bo2bo10bo17bo9bo2b3o<br /> 3b3o4b2ob2o$b2ob2o4bo6b5o2bo5bo7bobo9bo7bo2bobobo7bo2bobo$2bobo5bo3bo<br /> 3bobobo3b4o8bobo14bo2b3ob2ob11o2bo$2bobo5bo3bo3bobobo3b4o8b3o14b3o6bo<br /> 13b2o$b2ob2o4bo6b5o2bo5bo27bob3obo2b7o$o2bo5bo3bo3bo2bo10bo25b2obo2bo<br /> 3bo2bo2bo$2ob2o4b3o3b3o2bo9bo30b2o$bobo2bo7bobobo2bo7bo$bo2b11ob2ob3o<br /> 2bo11b3o3b3o$2o13bo6b3o10bo3bobo3bo$6b7o2bob3obo13bo3bobo3bo$6bo2bo2bo<br /> 3bo2bob2o11bob4ob4obo$17b2o15b2o9b2o3$38b2ob2o$37bobobobo$38bo3bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 pi-heptomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 28b2o$28b2o2$26b4o$22b2o2bo2bo2b2o$3b2o3b2o12bobobo2bobobo$2bo2bo2b2o 14bob3o2bo$2bo10b6o4b2obo2bo2bo$2bo2bo6bo2bo3bo7bob2obo$2b2ob2o6bo5bo 7bo2b2o$2bo2bo3b2o3b3obo9b3o$2bobo4b2o4bo11bob2o$3bo24bo$18b2o3bobo5bo $5b2o6b2o3b2o2bob2o2bobob2o$2o3b2o6b2o7bo3bo2bob3o$2o$16bo6b3o$4bo4b2o 4bobo$bob3o3b2o3bo2bo$o5bo6b2ob2o$o3bo2bo6bo2bo5bo$b6o10bo4b2o$10b2o2b o2bo3bo3bobo$10b2o3b2o5b2o3b2o5b2o3b2o$23bobo3bo3bo2bo2b2o$27b2o4bo10b 6o$27bo5bo2bo6bo2bo3bo$33b2ob2o6bo5bo$33bo2bo3b2o3b3obo$33bobo4b2o4bo$ 25b3o6bo$49b2o$17b3obo2bo3bo7b2o6b2o3b2o$17b2obobo2b2obo2b2o3b2o6b2o$ 19bo5bobo3b2o$22bo24bo$20b2obo11bo4b2o4bobo$20b3o9bob3o3b2o3bo2bo$19b 2o2bo7bo5bo6b2ob2o$18bob2obo7bo3bo2bo6bo2bo$18bo2bo2bob2o4b6o10bo$19bo 2b3obo14b2o2bo2bo$17bobobo2bobobo12b2o3b2o$17b2o2bo2bo2b2o$21b4o2$21b 2o$21b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 pi-heptomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 30bo2b2o4b2o2bo$30b4obo2bob4o$35b4o$32b2o6b2o$31bobob4obobo$31bo2b2o2b<br /> 2o2bo$28b2ob2o8b2ob2o$29bobo10bobo$29bobo10bobo$28b2obob8obob2o$29bobo<br /> bob4obobobo$29bobo2bob2obo2bobo$28b2obo10bob2o$31bo10bo$31b3o6b3o$29b<br /> 2o2bo6bo2b2o$28bo2bo10bo2bo$27bobobo3bo2bo3bobobo$27bobob3o6b3obobo$<br /> 28b2obobo6bobob2o$31bobo6bobo$28b2ob3o6b3ob2o$28bobo5b2o5bobo$30bo5b2o<br /> 5bo$30b2o10b2o$36b2o$36b2o$35bo2bo19b2o$17b2o16bo2bo15b2obo2bo3bo2bo2b<br /> o$6bo2bo2bo3bo2bob2o12bo2bo16bob3obo2b7o$6b7o2bob3obo11b8o11b3o6bo13b<br /> 2o$2o13bo6b3o9bo4bo12bo2b6ob11o2bo$bo2b11ob6o2bo29bo5bo3bo8bobo$bobo8b<br /> o3bo5bo22b2o8bo2b2obo3b3o2b2obob2o$2obob2o2b3o3bob2o2bo8b2o13b4o6bo2bo<br /> 7bobobo5bo$o5bobobo7bo2bo6b4o13b2obobo6bo9b3ob2ob2o$b2ob2ob3o9bo6bobob<br /> 2o13b2obo2bob2o12b3o2bobo$2bobo2b3o12b2obo2bob2o5b3o5b2obo2bob2o12b3o<br /> 2bobo$2bobo2b3o12b2obo2bob2o5b2o6b2obobo6bo9b3ob2ob2o$b2ob2ob3o9bo6bob<br /> ob2o5b2o6b4o6bo2bo7bobobo5bo$o5bobobo7bo2bo6b4o13b2o8bo2b2obo3b3o2b2ob<br /> ob2o$2obob2o2b3o3bob2o2bo8b2o22bo5bo3bo8bobo$bobo8bo3bo5bo29bo2b6ob11o<br /> 2bo$bo2b11ob6o2bo12bo4bo9b3o6bo13b2o$2o13bo6b3o11b8o11bob3obo2b7o$6b7o<br /> 2bob3obo16bo2bo12b2obo2bo3bo2bo2bo$6bo2bo2bo3bo2bob2o15bo2bo16b2o$17b<br /> 2o19bo2bo$39b2o$39b2o$33b2o10b2o$33bo5b2o5bo$31bobo5b2o5bobo$31b2ob3o<br /> 6b3ob2o$34bobo6bobo$31b2obobo6bobob2o$30bobob3o6b3obobo$30bobobo3bo2bo<br /> 3bobobo$31bo2bo10bo2bo$32b2o2bo6bo2b2o$34b3o6b3o$34bo10bo$31b2obo10bob<br /> 2o$32bobo2bob2obo2bobo$32bobobob4obobobo$31b2obob8obob2o$32bobo10bobo$<br /> 32bobo10bobo$31b2ob2o8b2ob2o$34bo2b2o2b2o2bo$34bobob4obobo$35b2o6b2o$<br /> 38b4o$33b4obo2bob4o$33bo2b2o4b2o2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 unnamed spark hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 19bo3bo$18bobobobo$19b2ob2o2$16b3o5b3o$15bo4bobo4bo$14bo5bobo5bo$15bo<br /> 4bobo4bo$15b2o3bobo3b2o$4b2o29b2o$3b4o10b3o3b3o8b4o$2b3ob2o25b2ob3o$2b<br /> o3b3o23b3o3bo$3o5bobo11b2o6bobo5b3o$2bob3ob2obo9bo2bo4bob2ob3obo$4b2o<br /> 3b2o6b2o2bo2bo5b2o3b2o$16bo2bobo2bo$4b2o3b2o5bo2bo2b2o6b2o3b2o$2bob3ob<br /> 2obo4bo2bo9bob2ob3obo$3o5bobo6b2o11bobo5b3o$2bo3b3o23b3o3bo$2b3ob2o25b<br /> 2ob3o$3b4o8b3o3b3o10b4o$4b2o29b2o$13b2o3bobo3b2o$13bo4bobo4bo$12bo5bob<br /> o5bo$13bo4bobo4bo$14b3o5b3o2$17b2ob2o$16bobobobo$17bo3bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 [[phi spark]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 24b2o3b2o$24b2o3b2o4bo$33b2o$33b2o4b2o$27b2o4b2o4b2o$22bo3b2ob3o2b2o$<br /> 23b4o3b2o3b2o$3b2o3b2o5b2o6b3o10bo$bo2bo3b2o3bo4bo16bo3b2o$13bo12b2o6b<br /> 2o3b2o$o5bo5bo6bob2o3b2o6b2o$o6bo5bo4b2ob2o3bo$6bo2b2o2bo11bo10b3o$b2o<br /> b2o3b2o3bobo8b2o3b2o3b4o$3bo11bo10b2o2b3ob2o3bo$18b2ob2o4b2o4b2o$5b2o<br /> 6b2o3b2ob2o4b2o$2o3b2o6b2o12b2o$2o24bo4b2o3b2o$4bo11bo14b2o3b2o$3bobo<br /> 3b2o3b2ob2o5bo$6bo2b2o2bo8b3o$2o4bo5bo6bo2bobo11b2o3b2o5b2o$o6bo5bo5bo<br /> bo2bo9bo2bo3b2o3bo4bo$6bo14b2o7b2o14bo$bo4bo3b2o3bo2bo9bo2bobo5bo5bo6b<br /> o$3b2o5b2o3b2o11bobo2bo6bo5bo4b2o$28b3o8bo2b2o2bo$28bo5b2ob2o3b2o3bobo<br /> $15b2o3b2o14bo11bo$15b2o3b2o4bo24b2o$24b2o12b2o6b2o3b2o$24b2o4b2ob2o3b<br /> 2o6b2o$18b2o4b2o4b2ob2o$13bo3b2ob3o2b2o10bo11bo$14b4o3b2o3b2o8bobo3b2o<br /> 3b2ob2o$14b3o10bo11bo2b2o2bo$26bo3b2ob2o4bo5bo6bo$17b2o6b2o3b2obo6bo5b<br /> o5bo$12b2o3b2o6b2o12bo$12b2o3bo16bo4bo3b2o3bo2bo$16bo10b3o6b2o5b2o3b2o<br /> $16b2o3b2o3b4o$17b2o2b3ob2o3bo$12b2o4b2o4b2o$12b2o4b2o$18b2o$17bo4b2o<br /> 3b2o$22b2o3b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 century hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 14b2o$b2o7b2o4b4o$obo7b2o2b2ob3o$obob2o8bo8b2o$bobobo17bobo$3bo8bo7b2o<br /> bobo$3b2o15bobobo$3b3o5b2o9bo$3b3o3bo2bo8b2o$3b3o3b3o3bo4b3o$3b3o4bo3b<br /> 3o3b3o$3b2o8bo2bo3b3o$3bo9b2o5b3o$bobobo15b2o$obob2o7bo8bo$obo17bobobo<br /> $b2o8bo8b2obobo$6b3ob2o2b2o7bobo$6b4o4b2o7b2o$10b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 century hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 40bo3bo$39bobobobo$40b2ob2o$17b2o$6bo2bo2bo3bo2bob2o$6b7o2bob3obo14b2o<br /> 9b2o$2o13bo6b3o11bob4ob4obo$bo2b11ob6o2bo12bo3bobo3bo$bobo10bo7bo14bo<br /> 3bobo3bo$2o2b4ob3o4b3o2b2o8bo6b3o3b3o$o2bo7bo5b4o6b2o3bo$b2ob2o4bo11bo<br /> 5bo3bo$2bobo5bo11b2ob2obo3bo26b2o$2bobo5bo11b2ob2obo3bo4b2o16b2obo2bo<br /> 3bo2bo2bo$b2ob2o4bo11bo5bo3bo3bo2bo16bob3obo2b7o$o2bo7bo5b4o6b2o3bo3bo<br /> 2bo13b3o6bo13b2o$2o2b4ob3o4b3o2b2o8bo5b2o14bo2b6ob11o2bo$bobo10bo7bo<br /> 32bo7bo10bobo$bo2b11ob6o2bo14b2o5bo8b2o2b3o4b3ob4o2b2o$2o13bo6b3o13bo<br /> 2bo3bo3b2o6b4o5bo7bo2bo$6b7o2bob3obo16bo2bo3bo3bo5bo11bo4b2ob2o$6bo2bo<br /> 2bo3bo2bob2o16b2o4bo3bob2ob2o11bo5bobo$17b2o26bo3bob2ob2o11bo5bobo$45b<br /> o3bo5bo11bo4b2ob2o$45bo3b2o6b4o5bo7bo2bo$31b3o3b3o6bo8b2o2b3o4b3ob4o2b<br /> 2o$30bo3bobo3bo14bo7bo10bobo$30bo3bobo3bo12bo2b6ob11o2bo$29bob4ob4obo<br /> 11b3o6bo13b2o$29b2o9b2o14bob3obo2b7o$55b2obo2bo3bo2bo2bo$59b2o$33b2ob<br /> 2o$32bobobobo$33bo3bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 8 ]]<br /> |caption = p16 pond hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 21bo10bo$20bobo8bobo$20bobo8bobo$3bo15b2ob2o6b2ob2o15bo$2bobo44bobo$2b<br /> obo10bo3b3o8b2ob2o3bo10bobo$2o2b2o8bobobobob2o6b2obobobobo8b2o2b2o$bob<br /> o6b2o2bobobo16bobobo2b2o6bobo$o2b4o3bobobobob2o7bo6b2obobobobo3b4o2bo$<br /> obo4bo3b2obo2bo9bo4bo3bo2bob2o3bo4bobo$bob3obo6bo3bo3bo4b3o5bo3bo6bob<br /> 3obo$3bob2o6bo4bo12bo3bo4bo6b2obo$3bob2o6bo4bo12bo3bo4bo6b2obo$bob3obo<br /> 6bo3bo16bo3bo6bob3obo$obo4bo3b2obo2bo3bo10bo3bo2bob2o3bo4bobo$o2b4o3bo<br /> bobobob2o14b2obobobobo3b4o2bo$bobo6b2o2bobobo16bobobo2b2o6bobo$2o2b2o<br /> 8bobobobo12bobobobo8b2o2b2o$2bobo10bo3b2o12b2o3bo10bobo$2bobo44bobo$3b<br /> o46bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 9 ]]<br /> |caption = p18 [[R-pentomino]] hassler, using two [[104P9]]s&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 73b2o2b2o$74bo2bo$69bo2bo6bo2bo$69b5o4b5o$74bo2bo$71b3o4b3o$70bo10bo$<br /> 70bo2b6o2bo$69b2obo6bob2o$70bobobo2bobobo$67bo2bobo6bobo2bo$67b3o2b2o<br /> 4b2o2b3o$70b2o3b2o3b2o$69bo2b2o4b2o2bo$69b4obo2bob4o2$69b3o2b4o2b3o$<br /> 68bo2bo3b2o3bo2bo$68b2o12b2o$73b2o2b2o$72b2o4b2o2$72b3o2b3o2$74bo2bo$<br /> 75b2o$67b2o5bo2bo5b2o$68bo2bo2b4o2bo2bo$68bobob2o4b2obobo$66b2o2b4o4b<br /> 4o2b2o$66bo18bo$68bob2o2bo2bo2b2obo$67b2obo3bo2bo3bob2o$67bo2bo2b2o2b<br /> 2o2bo2bo$68bobob2o4b2obobo$67b2obo2bo4bo2bob2o$66bo18bo$67b2o4bo4bo4b<br /> 2o$64b3o8b2o8b3o$64bo2b3o3bo4bo3b3o2bo$67bo2bo2b6o2bo2bo$68b4obo4bob4o<br /> $65b3o4b2o4b2o4b3o$65bo2b2ob4o2b4ob2o2bo$66bobob2obob2obob2obobo$65b2o<br /> 4b2o6b2o4b2o$66bo18bo$66bob2o12b2obo$64bobob2o12b2obobo$63bobobo16bobo<br /> bo$63bobobobo12bobobobo$64bobob2o12b2obobo$66bobob3o6b3obobo$65b2o18b<br /> 2o$66bobo2b2obo2bob2o2bobo$66bob5o6b5obo$64b2obo2bob8obo2bob2o$65bo2b<br /> 2o2b2o4b2o2b2o2bo$65bo3bo12bo3bo$66b3ob2o2bo2bo2b2ob3o$68bo5b4o5bo2$<br /> 69bo4bo2bo4bo$49b2o20b2o6b2o20b2o$38b2o8bo2bo4bo38bo4bo2bo8b2o$38bo3b<br /> 2obo3b2o2bo2b3o34b3o2bo2b2o3bob2o3bo$29b2o5bobo3bob5o2b5o3bo32bo3b5o2b<br /> 5obo3bobo5b2o$10b2o14bo2bo2b2obobob2obo6b2o5bo2bo32bo2bo5b2o6bob2obobo<br /> b2o2bo2bo14b2o$11bo5b2o7b3o2b2ob2obobobob2o2b2o2b2ob2obob2o11b3o2b3o<br /> 11b2obob2ob2o2b2o2b2obobobob2ob2o2b3o7b2o5bo$2b2o4bo2bob2obobo20bobobo<br /> 3b2ob2o3bob2o3bo8bob2o2b2obo8bo3b2obo3b2ob2o3bobobo20bobob2obo2bo4b2o$<br /> 3bo2b5obobobo11b2ob5o4b2o2bo7bo2b2o2bo11b2o6b2o11bo2b2o2bo7bo2b2o4b5ob<br /> 2o11bobobob5o2bo$3bobo6bobob2o9bobobo9bob3o6bob2o3bo3bo5b2o10b2o5bo3bo<br /> 3b2obo6b3obo9bobobo9b2obobo6bobo$2b2obo2b4ob2o5bobo5b2o4bo7b2obo6bob4o<br /> 5bo4bobo10bobo4bo5b4obo6bob2o7bo4b2o5bobo5b2ob4o2bob2o$o2bobobo3bobo5b<br /> 2obo5b2o3b3obob6o11b2o10b2o12b2o10b2o11b6obob3o3b2o5bob2o5bobo3bobobo<br /> 2bo$2o2bo2bobo4bobo2bo2bobob2o3b3o6bo2bo10bobo2b2obo5b2o12b2o5bob2o2bo<br /> bo10bo2bo6b3o3b2obobo2bo2bobo4bobo2bo2b2o$7bo4bo3b2o7bobo10bobo3bo11bo<br /> 3bo30bo3bo11bo3bobo10bobo7b2o3bo4bo$7bo4bo3b2o7bobo10bobo3bo11bo3bo30b<br /> o3bo11bo3bobo10bobo7b2o3bo4bo$2o2bo2bobo4bobo2bo2bobob2o3b3o6bo2bo10bo<br /> bo2b2obo5b2o12b2o5bob2o2bobo10bo2bo6b3o3b2obobo2bo2bobo4bobo2bo2b2o$o<br /> 2bobobo3bobo5b2obo5b2o3b3obob6o11b2o10b2o12b2o10b2o11b6obob3o3b2o5bob<br /> 2o5bobo3bobobo2bo$2b2obo2b4ob2o5bobo5b2o4bo7b2obo6bob4o5bo4bobo10bobo<br /> 4bo5b4obo6bob2o7bo4b2o5bobo5b2ob4o2bob2o$3bobo6bobob2o9bobobo9bob3o6bo<br /> b2o3bo3bo5b2o10b2o5bo3bo3b2obo6b3obo9bobobo9b2obobo6bobo$3bo2b5obobobo<br /> 11b2ob5o4b2o2bo7bo2b2o2bo11b2o6b2o11bo2b2o2bo7bo2b2o4b5ob2o11bobobob5o<br /> 2bo$2b2o4bo2bob2obobo20bobobo3b2ob2o3bob2o3bo8bob2o2b2obo8bo3b2obo3b2o<br /> b2o3bobobo20bobob2obo2bo4b2o$11bo5b2o7b3o2b2ob2obobobob2o2b2o2b2ob2obo<br /> b2o11b3o2b3o11b2obob2ob2o2b2o2b2obobobob2ob2o2b3o7b2o5bo$10b2o14bo2bo<br /> 2b2obobob2obo6b2o5bo2bo32bo2bo5b2o6bob2obobob2o2bo2bo14b2o$29b2o5bobo<br /> 3bob5o2b5o3bo32bo3b5o2b5obo3bobo5b2o$38bo3b2obo3b2o2bo2b3o34b3o2bo2b2o<br /> 3bob2o3bo$38b2o8bo2bo4bo38bo4bo2bo8b2o$49b2o20b2o6b2o20b2o$69bo4bo2bo<br /> 4bo2$68bo5b4o5bo$66b3ob2o2bo2bo2b2ob3o$65bo3bo12bo3bo$65bo2b2o2b2o4b2o<br /> 2b2o2bo$64b2obo2bob8obo2bob2o$66bob5o6b5obo$66bobo2b2obo2bob2o2bobo$<br /> 65b2o18b2o$66bobob3o6b3obobo$64bobob2o12b2obobo$63bobobobo12bobobobo$<br /> 63bobobo16bobobo$64bobob2o12b2obobo$66bob2o12b2obo$66bo18bo$65b2o4b2o<br /> 6b2o4b2o$66bobob2obob2obob2obobo$65bo2b2ob4o2b4ob2o2bo$65b3o4b2o4b2o4b<br /> 3o$68b4obo4bob4o$67bo2bo2b6o2bo2bo$64bo2b3o3bo4bo3b3o2bo$64b3o8b2o8b3o<br /> $67b2o4bo4bo4b2o$66bo18bo$67b2obo2bo4bo2bob2o$68bobob2o4b2obobo$67bo2b<br /> o2b2o2b2o2bo2bo$67b2obo3bo2bo3bob2o$68bob2o2bo2bo2b2obo$66bo18bo$66b2o<br /> 2b4o4b4o2b2o$68bobob2o4b2obobo$68bo2bo2b4o2bo2bo$67b2o5bo2bo5b2o$75b2o<br /> $74bo2bo2$72b3o2b3o2$72b2o4b2o$73b2o2b2o$68b2o12b2o$68bo2bo3b2o3bo2bo$<br /> 69b3o2b4o2b3o2$69b4obo2bob4o$69bo2b2o4b2o2bo$70b2o3b2o3b2o$67b3o2b2o4b<br /> 2o2b3o$67bo2bobo6bobo2bo$70bobobo2bobobo$69b2obo6bob2o$70bo2b6o2bo$70b<br /> o10bo$71b3o4b3o$74bo2bo$69b5o4b5o$69bo2bo6bo2bo$74bo2bo$73b2o2b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 9 ]]<br /> |caption = p18 spark coil, named because the spark coil rotor&lt;br/&gt; turns on and off for several consecutive generations.&lt;br/&gt; Co-discovered with wwei23.&lt;br/&gt; <br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 21b3o$25bo$20bo4bo$24bo$3bo17b2o6bo$2bobo16bo6bobo$2bobo16bo6bobo$2o2b<br /> 2o15bo5b2o2b2o$bobo25bobo$o2b3o21b3o2bo$obo3bo19bo3bobo$bob3ob2o9b2o4b<br /> 2ob3obo$3bo10bo2b2o10bo$3bo10b2o2bo10bo$bob3ob2o4b2o9b2ob3obo$obo3bo<br /> 19bo3bobo$o2b3o21b3o2bo$bobo25bobo$2o2b2o5bo15b2o2b2o$2bobo6bo16bobo$<br /> 2bobo6bo16bobo$3bo6b2o17bo$8bo$7bo4bo$7bo$9b3o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 9 ]]<br /> |caption = p18 R-pentomino hassler, reduced by Matthias Merzenich&lt;br/&gt; <br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 60b2o$60bobo$62bo$58b4ob2o2b2o$58bo2bo3bo2bo$56b2o5bob2o$55bo2b3o4bo$<br /> 54bob2o4b2obo$54bo3bobo3bo$55b3o3b3o$57bobobo$51bo6b3o$45bo4bobo6bo$<br /> 45b3o2bobo$48bobob2o5b2o$45b3o2bo4bo2bo$45bo2bob3o3b3ob3o$48b2o7b2o4bo<br /> $41b2o2bo2bo3bo4b2ob2obo$41bo2bobobobobo5b2o3bo$42b2ob2ob4o3bo2b2obo$<br /> 47bo4b2o4b2ob2o$8bo33b4obob2obo6bob2o$7bobo7b2o3bo19bo2bobobo2bo7bo$9b<br /> o6bo2bobobo2bo19bo3b2o$16bob2obob4o$15b2obo2bo$15bo4bob2ob2o25b2o$7b3o<br /> 5b2o3bobobo2bo24bobo$6bo2bo5b2obobo2bo2b2o25bo7bo$6b3o6b2obobo39bobo4b<br /> o$15b2obobo2bo35bo2bo3bobo$15bo2bo2b3o36b2o5b2o$15b2obobo$16bobo2b3o<br /> 36bo$16bobo4bo35bobo7b2o3bo$17bo43bo6bo2bobobo2bo$7b2ob2o56bob2obob4o$<br /> 5b3obob3o53b2obo2bo$4bo4bo4bo52bo4bob2ob2o$3bobob2o2b2obo44b3o5b2o3bob<br /> obo2bo$3bobo3b2o2bo44bo2bo5b2obobo2bo2b2o$2b2obob2o2b2o45b3o6b2obobo$o<br /> 2bobo4bo56b2obobo2bo$2o2b2ob4o56bo2bo2b3o$6bo60b2obobo$6bobo59bobo2b3o<br /> $7b2o59bobo4bo$69bo$59b2ob2o$57b3obob3o$56bo4bo4bo$55bobob2o2b2obo$55b<br /> obo3b2o2bo$54b2obob2o2b2o$52bo2bobo4bo$52b2o2b2ob4o$58bo$58bobo$59b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 9 ]]<br /> |caption = p18 LOM sparker, shown here hassling a loaf at period 54.&lt;br/&gt; Putting the two p18 sparkers in-phase makes the period 36 instead of 54.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 19bo9bo$19b3o5b3o$22bo3bo$21bo2bo2bo$21bo5bo2$23bobo$24bo2$10bo5b2o3b<br /> 2o3b2o3b2o$4bo4bobo4bobo3b2ob2o3bobo$4b3o2bobo4b3o3bo3bo3b3o$7bobob2o<br /> 5bob2o5b2obo$4b3o2bo4bo5bo7bo$4bo2bob3o$7b2o6bo$2o2bo2bo3bo3bo$o2bobob<br /> obobo$b2ob2ob4o3bo4b3o14b2o$6bo4b2o5bo3bo13bo$b4obob2obo5bo5bo4b3o3bob<br /> o$bo2bobobo2bo5bo5bo3bo3bo2b2o$5bo3b2o6bo5bo2bo5bo6b2o3bo$14b2o2bo3bo<br /> 3bo5bo5bo2bobobo2bo$13bobo3b3o4bo5bo5bob2obob4o$13bo13bo3bo5b2o4bo$12b<br /> 2o14b3o4bo3b4ob2ob2o$38bobobobobo2bo$34bo3bo3bo2bo2b2o$34bo6b2o$38b3ob<br /> o2bo$21bo7bo5bo4bo2b3o$19bob2o5b2obo5b2obobo$17b3o3bo3bo3b3o4bobo2b3o$<br /> 17bobo3b2ob2o3bobo4bobo4bo$17b2o3b2o3b2o3b2o5bo2$25bo$24bobo2$22bo5bo$<br /> 22bo2bo2bo$23bo3bo$20b3o5b3o$20bo9bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 9 ]]<br /> |caption = p18 honey farm hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 12bob2o4b2obo$12b2o2bo2bo2b2o$10b2o3bo4bo3b2o$bo2bo4bo3b2ob4ob2o3bo$4b<br /> o5b3obobo2bobob3o$o4bo6bobob4obobo$2o2bobo7bo2b2o2bo$5bob2o6b2o2b2o3$<br /> 5bo2bo$5b2o6b2o$12b4o$11bo4bo$12b4o$13b2o6b2o$19bo2bo3$7b2o2b2o6b2obo$<br /> 6bo2b2o2bo7bobo2b2o$4bobob4obobo6bo4bo$2b3obobo2bobob3o5bo$bo3b2ob4ob<br /> 2o3bo4bo2bo$2b2o3bo4bo3b2o$4b2o2bo2bo2b2o$4bob2o4b2obo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 9 ]]<br /> |caption = p18 [[interchange]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 14b2ob2o12bo$2b2o4bobo3b2ob2o12b3o$3bo2b4obo22bo$3bobo5b10o12b2o24b2ob<br /> 2o$b2o2b2o2b2o9bo38b2ob2o3bobo4b2o$2bobo2bobobo2b2o2bo18bo28bob4o2bo$o<br /> 2bob3obobobo4b2o17bo19b10o5bobo$2obo4bo5bo4bo37bo9b2o2b2o2b2o$3bo10bo<br /> 3bo40bo2b2o2bobobo2bobo$3b2o10bob2o2b2o35b2o4bobobob3obo2bo$7bobo2bo2b<br /> 2obo4bobob2o7b2o20bo4bo5bo4bob2o$6bob2o2b3o2bobo3bo5bo5bob2o20bo3bo10b<br /> o$2b2o2bo8bo3bo3bo5b2o3bo2bo17b2o2b2obo10b2o$2bobobob2o2b3o2bobo3bo5bo<br /> 5b2o12b2obobo4bob2o2bo2bobo2bo$4bo2bobo2bo2b2obo4bobob2o12b2o5bo5bo3bo<br /> bo2b3o2b2obobobo$3b2o10bob2o2b2o17bo2bo3b2o5bo3bo3bo8bo2b2o$3bo10bo3bo<br /> 20b2obo5bo5bo3bobo2b3o2b2obo$2obo4bo5bo4bo20b2o7b2obobo4bob2o2bo2bobo$<br /> o2bob3obobobo4b2o35b2o2b2obo10b2o$2bobo2bobobo2b2o2bo40bo3bo10bo$b2o2b<br /> 2o2b2o9bo37bo4bo5bo4bob2o$3bobo5b10o19bo17b2o4bobobob3obo2bo$3bo2b4obo<br /> 28bo18bo2b2o2bobobo2bobo$2b2o4bobo3b2ob2o38bo9b2o2b2o2b2o$14b2ob2o24b<br /> 2o12b10o5bobo$43bo22bob4o2bo$44b3o12b2ob2o3bobo4b2o$46bo12b2ob2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 10 ]]<br /> |caption = p20 [[wing]] hassler, co-discovered with [[wwei23]]<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 12b2o10b2o$11bo2bo8bo2bo$11b3o2b6o2b3o$14b2o6b2o$13bo10bo$13b2obo4bob<br /> 2o$18b2o3$2ob2o11bo7b2ob2o$o15b2o10bo$b2o2bo9bo2bo4bo2b2o$2b3o6b2o3bob<br /> o5b3o$2b3o5bobo3b2o6b3o$b2o2bo4bo2bo9bo2b2o$o10b2o15bo$2ob2o7bo11b2ob<br /> 2o3$9b2o$4b2obo4bob2o$4bo10bo$5b2o6b2o$2b3o2b6o2b3o$2bo2bo8bo2bo$3b2o<br /> 10b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 10 ]]<br /> |caption = p20 R-pentomino hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 16bo$14b3o$13bo$13b2o$2o$o2b2o16b2o$b2ob2o12b2o2bo$4b2o3b2o6b2ob2o$4b<br /> 2o3bo2bo4b2o$b2ob2o4b3o4b2o$o2b2o6bo5b2ob2o$2o16b2o2bo$21b2o$8b2o$9bo$<br /> 6b3o$6bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 10 ]]<br /> |caption = p20 bookend shuttle<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 30b2o$26b2o2bo$25bo2bobo$3b2o10b2o7bobobob2o$4bo10bo6b3obobobo$3bo13bo<br /> 3bo10bo$3b2o5bo5b4o2b4obob3obo$6b2obobob2o5b2o4b3o4bo$b5obobobobob5o2b<br /> 3ob3ob3o$o8bobo8bo3b7o$b3ob2ob2ob2ob2ob3o$3b2o11b2o$33b2o$33bo$31bobo$<br /> 27bo3b2o$18bo7bobo$17bobo5bo3bo$16bo3bo5bobo$17bobo7bo$13b2o3bo$12bobo<br /> $12bo$11b2o$28b2o11b2o$26b3ob2ob2ob2ob2ob3o$15b7o3bo8bobo8bo$13b3ob3ob<br /> 3o2b5obobobobob5o$12bo4b3o4b2o5b2obobob2o$12bob3obob4o2b4o5bo5b2o$13bo<br /> 10bo3bo13bo$15bobobob3o6bo10bo$14b2obobobo7b2o10b2o$15bobo2bo$15bo2b2o<br /> $14b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 10 ]]<br /> |caption = p20 traffic light hassler, co-discovered with praosylen<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 10bo$10b3o$13bo$12bo$11bo4b4o$11bobo$12b2ob3o$15b2o3$14b3o18b2o$15bo<br /> 15b2o2bo$4bo10bo14bo2bobo$4bo24bob2obo$4bobo9b3o7b4o2bo$4bob2o2bo3b2o<br /> 2bo6b5obo$6b2o2b3obo2b2o7b3o3bo$10bo3b3o14b3o$2bo2b2o24b3o$bobo2bo$bo<br /> 2b2o15bo$2o18b3o$20b3o$20b3o$21b3o$24bo$18b2obobobo$18b3ob2obo$18b2o4b<br /> o$23bo$24b3o$26bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 10 ]]<br /> |caption = p20 LOM shuttle<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 8b2o20b2o$4b2obo2bob2o12b2obo2bob2o25b2o20b2o$2bo2bob4obo14bob4obo2bo<br /> 19b2obo2bob2o12b2obo2bob2o$2b2obo2b2o4bo10bo4b2o2bob2o17bo2bob4obo14bo<br /> b4obo2bo$5bo7b2o4b2o4b2o7bo20b2obo2b2o4bo10bo4b2o2bob2o$5b2o3b2o7b2o7b<br /> 2o3b2o23bo7b2o4b2o4b2o7bo$8b3o18b3o26b2o3b2o7b2o7b2o3b2o$5b4obo2bo12bo<br /> 2bob4o26b3o18b3o$5bo5b3o2b8o2b3o5bo23b4obo2bo12bo2bob4o$7bobo5bo8bo5bo<br /> bo25bo5b3o2b8o2b3o5bo$6b2obo20bob2o26bobo5bo8bo5bobo$59b2obo20bob2o$<br /> 19b2o$72b2o2$18bo$17bobo51bo$17bobo50bobo$18bo51bobo$71bo$17b2o$70b2o$<br /> 4b2obo20bob2o$5bobo5bo8bo5bobo26b2obo20bob2o$3bo5b3o2b8o2b3o5bo25bobo<br /> 5bo8bo5bobo$3b4obo2bo12bo2bob4o23bo5b3o2b8o2b3o5bo$6b3o18b3o26b4obo2bo<br /> 12bo2bob4o$3b2o3b2o7b2o7b2o3b2o26b3o18b3o$3bo7b2o4b2o4b2o7bo23b2o3b2o<br /> 7b2o7b2o3b2o$2obo2b2o4bo10bo4b2o2bob2o20bo7b2o4b2o4b2o7bo$o2bob4obo14b<br /> ob4obo2bo17b2obo2b2o4bo10bo4b2o2bob2o$2b2obo2bob2o12b2obo2bob2o19bo2bo<br /> b4obo14bob4obo2bo$6b2o20b2o25b2obo2bob2o12b2obo2bob2o$59b2o20b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 10 ]]<br /> |caption = p20 and p24 beehive hasslers<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 8b2o$8bo10b2o10b2o$2o7bo5b2o3bo10bo$bo6b2o5bo2bo13bo$bob2obo10b3o5bo5b<br /> 2o$2bob3ob2o11b2obobob2o$7bobo2b2ob6obobobobob5o$3b2obobob2obobo4bo3bo<br /> bo3bo4bo$2bo2bobobo7b2ob2o2bobo2b2ob3o$2b2o2b2o6b3obo5bobo5bo$9bob4o$<br /> 6bo12bo3bo3bo3bo$7b2o12bo7bo$15b3o$14bob2o4b2o$8b2o4bo2bo4b2o$9bo5bo<br /> 13b2o$9bobo10b2o4bo2bo$10b2o10b2o3bobobo$26b3obo$26b3o$16b2o$17b2o$18b<br /> 2o$7b3o$5bob3o$4bobobo3b2o10b2o$4bo2bo4b2o10bobo$5b2o13bo5bo$12b2o4bo<br /> 2bo4b2o$12b2o4b2obo$18b3o$6bo7bo12b2o$4bo3bo3bo3bo12bo$21b4obo$3bo5bob<br /> o5bob3o6b2o2b2o$b3ob2o2bobo2b2ob2o7bobobo2bo$o4bo3bobo3bo4bobob2obobob<br /> 2o$b5obobobobob6ob2o2bobo$6b2obobob2o11b2ob3obo$3b2o5bo5b3o10bob2obo$<br /> 3bo13bo2bo5b2o6bo$4bo10bo3b2o5bo7b2o$3b2o10b2o10bo$26b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 10 ]]<br /> |caption = p20 LOM hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 5b2o$6bo4bo2bo$5bo5b4o$5b2o2b2o$3b2o3bobob2obo$2bo2bob2obobob2o$2b3o5b<br /> 2o48b2o$5b4obo49b2o$2b2obo2bo14b2o$bobo3b2o14b2o$bobo3b2o5bo$2ob2o9b2o<br /> 45b2o$13b2o45b2o9b2ob2o$24b2o28b2o5bo5b2o3bobo$23b2o9b2ob2o14bobo11b2o<br /> 3bobo$24bo5b2o3bobo15bo13bo2bob2o$14b2o14b2o3bobo14b2o11bob4o$14b2o14b<br /> o2bob2o27b2o5b3o$28bob4o26b2obobob2obo2bo$27b2o5b3o23bob2obobo3b2o$23b<br /> 2obobob2obo2bo28b2o2b2o$23bob2obobo3b2o25b4o5bo$28b2o2b2o27bo2bo4bo$<br /> 24b4o5bo35b2o$24bo2bo4bo$32b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 10 ]]<br /> |caption = p20 R-pentomino hassler, monomerized by iNoMed&lt;br/&gt;<br /> }}<br /> |}</div>

Praosylen https://conwaylife.com/w/index.php?title=User:Apple_Bottom/TODO&diff=86241 2021-12-20T20:37:29Z

<p>Praosylen: /* Current */ sorry, I hope this isn&#039;t overstepping in terms of other-people&#039;s-userspace editing here... busy changing how I want to be credited pretty much everywhere, fyi</p> <hr /> <div>{{User:Apple Bottom/Toolbox}}<br /> &lt;div style=&quot;margin-top: 1em; clear: right; float: right;&quot;&gt;__TOC__&lt;/div&gt;<br /> <br /> Tools for writing articles:<br /> <br /> * [http://entropymine.com/jason/life/oscillizer/ Jason Summer's Oscillizer] - for oscillators and still lifes (all rules)<br /> * [http://codercontest.com/mniemiec/lifesrch.htm Mark Niemiec's Life Search] - for all patterns (Conway Life only)<br /> <br /> Notes:<br /> <br /> * On Link* and Cite* templates: these exist not just to make linking to/citing certain sites easier, but also to avoid having to manually update hundreds (or thousands) of articles if a site moves.<br /> <br /> == General ==<br /> <br /> TODO notes, ideas and so on, not necessarily just for myself.<br /> <br /> * Apple Bot:<br /> ** &lt;s&gt;[[User:Apple Bot]] needs &lt;tt&gt;bot&lt;/tt&gt; and &lt;tt&gt;trusted&lt;/tt&gt; flags.&lt;/s&gt;<br /> ** &lt;s&gt;Edit applebot.pl to also read Bob Shemyakin's glider synthesis list.&lt;/s&gt;<br /> ** Perhaps equip the script with the ability to update these data files from the web (&lt;tt&gt;--update&lt;/tt&gt;), and to suggest doing so if they aren't found.<br /> ** Automatically editing articles to reflect the best known glider syntheses isn't a good idea, as Dvgrn points out: the synthesis RLEs would also have to be updated.<br /> ** &lt;tt&gt;MediaWiki::Bot&lt;/tt&gt; has various warts, including an inability to log in (see [https://github.com/MediaWiki-Bot/MediaWiki-Bot/issues/83 issue 83]). The author writes that it is unmaintained, but patches are welcome. Consider submitting one.<br /> <br /> * Ongoing project: gather references on conwaylife.com.<br /> ** Others are on this case.<br /> <br /> * Catagolue browser extension:<br /> ** &lt;s&gt;Put this on Github.&lt;/s&gt;<br /> ** Consider adapting it for other browsers, e.g. Firefox. (Or invite others to fork the repo and submit pull requests.)<br /> ** &lt;s&gt;Finish the jslife work, and release a new version including that.&lt;/s&gt;<br /> *** Well, it's not finished, but at least it's released.<br /> ** Rowett asked about including the LifeViewer. Great idea, but for licensing reasons (GPL) this would require unobfuscated code for the LifeViewer, which is not currently available.<br /> ** Chris_C suggested ([http://www.conwaylife.com/forums/viewtopic.php?p=39165#p39165 here]) automatically generating glider syntheses for still lifes.<br /> ** More in the extension's own TODO file.<br /> <br /> * Glider synthesis generator CGI script:<br /> ** Also basically Chris_C's suggestion. Something resembling Oscillizer, perhaps hosted on conwaylife.com? Someone else will have to handle this.<br /> <br /> * Catagolue-related scripts and files:<br /> ** &lt;s&gt;Beat these into shape and put them on Github as appropriate.&lt;/s&gt;<br /> <br /> * Catagolue:<br /> ** Backups should go on archive.org.<br /> ** &lt;s&gt;Is there a public repo of the Catagolue codebase? Are pull requests accepted, e.g. to add a &quot;list of all rules ever investigated&quot; page?&lt;/s&gt;<br /> <br /> * NaiveLife.pm, image_gen:<br /> ** Beat these into shape and put them on Github.<br /> <br /> == LifeWiki TODO ==<br /> <br /> === Current ===<br /> <br /> * The &quot;Types of Greyships&quot; section in [[Greyship]] needs to be updated/expanded. Several pages redirect to this; at the minimum all those terms should be mentioned and explained.<br /> <br /> * Figure out a way of RSS-ifying [[Template:CurrentNews]], and have [[User:Nathaniel]] add that feed to the conwaylife.com frontpage.<br /> <br /> * [[Methuselah]]s:<br /> ** &lt;s&gt;Methuselahs with lifespan less than 10,000 (see [[List of long-lived methuselahs]]) do not have f= and mcps= filled in in their infoboxes.&lt;/s&gt;<br /> ** &lt;s&gt;Various methuselahs are missing descriptions/censuses of their final patterns.&lt;/s&gt;<br /> <br /> * The various &quot;category&quot; templates (e.g. [[Template:OscillatorPeriod]]) all take differently-named parameters; this is confusing (&quot;was it 't='? Or 'n='? Or 'c='? Or 's='? Or...&quot;). Tweak all these to also (alternatively) accept a nameless parameter.<br /> <br /> * [[Template:GrowingSpaceship]] does not categorize (and thus has no supporting category infrastructure) based on the extra parameters, fs, bs, fp and bp.<br /> ** Should it? Unlike with e.g. oscillators, it might well be that most of these categories would only contain one article, so there might be no point in having them.<br /> ** Same for [[Template:MovingBreeder]].<br /> ** And quite a few others.<br /> <br /> * Software that needs articles:<br /> ** [[osrc]] (&quot;Preliminary attempt at a zfind-like oscillator searcher&quot;), praosylen, [http://www.conwaylife.com/forums/viewtopic.php?f=9&amp;t=2886]<br /> ** [[ofind]] (&quot;search for oscillators in semitotalistic cellular automata&quot;), David Eppstein, [https://www.ics.uci.edu/~eppstein/ca/ofind.c]<br /> ** [[lifelocallookahead]] (spaceship searcher), Andrew J. Wade, [http://www.conwaylife.com/forums/viewtopic.php?f=9&amp;t=1481], [https://gitlab.com/andrew-j-wade/lifelocallookahead]<br /> <br /> * Noam Elkies, ''The still-Life density problem and its generalizations'', depicts the following [[agar]]s in Appendix A:<br /> ** &lt;s&gt;[[Chicken wire]]&lt;/s&gt;<br /> ** [[TV static]]<br /> ** &lt;s&gt;[[Onion rings]]&lt;/s&gt;<br /> ** [[Onion bulbs]]<br /> ** [[Hoey I]]<br /> ** [[Hoey II]]<br /> ** [[Square waves]]<br /> ** [[Moore]]<br /> ** [[DCC onions]]<br /> ** [[AB5 F' F'' octets]]<br /> ** [[AB8 F'2 F'' dozens]]<br /> * Also, Dave Greene mentions the [[blocks agar]] [http://conwaylife.com/forums/viewtopic.php?p=56564#p56564 here].<br /> <br /> * In [[Template:Oscillator]], separate oscillator-specific parameters (period, heat, volatility etc.) into an &quot;Oscillator parameters&quot; section (like &quot;Pattern files&quot; etc.), expanded by default.<br /> ** This will make the template less confusing/overloaded for users, and it will help with an eventual rebasing of the specific infobox templates on a generic &quot;base&quot; pattern template.<br /> ** Same for [[Template:Spaceship]].<br /> ** ...and all the other specific pattern templates, such as [[Template:Gun]], [[Template:Conduit]], [[Template:Puffer]] etc.<br /> ** This should probably be discussed at the [[LifeWiki:Tiki bar]] first.<br /> <br /> * [[User:Scotgot]] appears to have used strict volatility instead of volatility for the v= parameter when creating oscillator pages. Check every such page they created and correct any wrong numbers.<br /> ** Same for [[User:AwesoMan3000]].<br /> <br /> * Update the following RLE files to use rulestrings in B/S notation (i.e. &quot;B3/S23&quot;, not &quot;23/3&quot; or &quot;Life&quot;); note that there might be others not listed here:<br /> ** [[112p51]]<br /> ** [[124p37]]<br /> ** [[Tumbling T-tetson]]<br /> ** [[Superfountain]]<br /> ** [[Sailboat]]<br /> ** [[Roteightor]]<br /> ** [[Sixty-nine]]<br /> ** [[Thumb 1]]<br /> ** [[35p52]]<br /> ** [[Worker bee]]<br /> ** [[Smiley]]<br /> ** [[Kok's galaxy]]<br /> ** [[Figure eight on 22p36]]<br /> ** [[Figure eight on pentadecathlon]]<br /> ** [[Pi orbital]]<br /> ** [[Wavefront]]<br /> <br /> * The [[cellular automaton]] article currently only talks about CAs defined on a square lattice. This needs to change; there are CAs on all sorts of tilings, both regular (hexagonal, triangular) and less regular (Penrose, hyperbolic, ...). We're currently fudging hexagonal tilings by defining a &quot;hexagonal neighborhood&quot; on the square lattice (e.g. creating a &quot;bricklayer's tiling&quot;); but while that's fine (software such as [[Golly]] does hexagonal CAs this way), it's essentially an implementation detail. It should be noted, but CAs should be treated more generally.<br /> ** Related: the article currently goes on at length about both CAs in general and Life-like CAs in particular. This needs to be disentangled, and Life-like CAs given their own article that introduces the basic concepts as required to understand them and otherwise refers to the general [[cellular automaton]] article.<br /> <br /> * Modify external link templates to all take &lt;tt&gt;title=&lt;/tt&gt;, &lt;tt&gt;name=&lt;/tt&gt;, &lt;tt&gt;pagename=&lt;/tt&gt; and &lt;tt&gt;patternname=&lt;/tt&gt; (as synonyms). It's not very useful for the parameters to have different names in different templates. (And some users even use entirely non-existent parameters without even so much as checking whether they do in fact have an effect.)<br /> <br /> * For that matter, saner external link templates in general. No hidden surprises, no things that don't work (but should), no inconsistencies, no making-the-user-jump-through-hoops-to-use-them, and so on. (See [[Template talk:LinkForumThread]].) Also, cleaner template code that is more conducive to being edited and doesn't present itself as a thorny thicket of punctuation.<br /> <br /> * Write [[Tutorial:Writing LifeWiki articles]] ?<br /> <br /> * &lt;s&gt;Add an &quot;identifiers&quot; section to pattern infoboxes, listing e.g. apgcode, Niemiec number/identifier, Pentadecathlon (Koenig) identifier, stamp collection indices (jslife, DRH), and so on.&lt;/s&gt;<br /> ** &lt;s&gt;Create [[Template:PatternIdentifiers]] and use it in pattern infobox templates.&lt;/s&gt;<br /> ** Add jslife/DRH/... stamp collection indices etc., in an appropriate manner.<br /> ** Add identifiers to articles.<br /> *** DONE: [[Boat on snake]], [[112P51]].<br /> *** DONE: apgcode=.<br /> *** NOT DONE: everything else.<br /> <br /> * &lt;s&gt;''(This is being discussed at the [[LifeWiki:Tiki bar]].)'' Figure out how to best use [[LV:Viewer]] in articles in a way that's both useful, accessible, and well-integrated into the existing article layout.&lt;/s&gt;<br /> ** Create [[Help:LifeViewer]]?<br /> <br /> * &lt;s&gt;''(This is being discussed at the [[LifeWiki:Tiki bar]].)'' Go through [[:Category:Proposed deletion]] and decide what should be kept.&lt;/s&gt;<br /> <br /> * Create missing articles for Life Lexicon entries, or redirect to existing ones (as appropriate). See below for a list.<br /> <br /> * Go through pages for common objects.<br /> ** &lt;s&gt;Also make a &lt;tt&gt;&lt;nowiki&gt;{{CiteFlammenkampCensus}}&lt;/nowiki&gt;&lt;/tt&gt; citation template.&lt;/s&gt; Unnecessary, [[Template:citeAchim]] already exists<br /> ** &lt;s&gt;Move statements about how common they are to a new section, and note that the data is from Achim Flammenkamp's census.&lt;/s&gt;<br /> *** &lt;s&gt;Still lifes listed on [[List of common still lifes]]&lt;/s&gt; - DONE<br /> *** &lt;s&gt;Oscillators listed on [[List of common oscillators]]&lt;/s&gt; - DONE<br /> *** &lt;s&gt;[[Glider]], [[LWSS]], [[MWSS]], [[HWSS]], [[Glider-producing switch engine]], [[Block-laying switch engine]]&lt;/s&gt; - DONE<br /> ** &lt;s&gt;Add data on common-ness from Catagolue.&lt;/s&gt;<br /> ** &lt;s&gt;If possible, find a copy of the results from Nathaniel's census and add data from that as well. (This is referenced on a few pages anyway. Check archive.org, or ask on the conwaylife.com forums.)&lt;/s&gt;<br /> *** &lt;s&gt;Discussion thread for this census: [http://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=131&amp;p=570]&lt;/s&gt;<br /> *** &lt;s&gt;The [https://web.archive.org/web/20110510032152/http://www.conwaylife.com/soup/census.asp?rule=B3/S23&amp;sl=1&amp;os=1&amp;ss=1 last copy on archive.org] dates from May 10, 2011, and lists 154 still lifes and oscillators, plus 4 spaceships. Images are broken, but the RLE encoded in the URLs can be used to identify (unnamed) patterns.&lt;/s&gt;<br /> *** &lt;s&gt;Unnamed patterns on this page are at [[User:Apple Bottom/Nathaniel's census]] (names via Catagolue).&lt;/s&gt;<br /> *** &lt;s&gt;Nathaniel himself may have a more recent and/or complete results.&lt;/s&gt; (He doesn't; data was lost in a server crash.)<br /> *** Add data on commonness from Nathaniel's census.<br /> ** &lt;s&gt;There's also a census by Andrzej Okrasinski. Mentioned [http://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=2099&amp;p=31739#p32120 here].&lt;/s&gt; - DONE, thanks [[User:Lewis]]!<br /> *** &lt;s&gt;Last archive.org copy: 2009-10-27, [https://web.archive.org/web/20091027025324/http://geocities.com/conwaylife/]; PDF of results [https://web.archive.org/web/20091027025324/http://geocities.com/conwaylife/lf020n.pdf]&lt;/s&gt;<br /> ** Were there any other censuses/soup-search efforts?<br /> <br /> * Add a &lt;tt&gt;family=&lt;/tt&gt; parameter for:<br /> ** &lt;s&gt;[[Template:Oscillator|Oscillators]]&lt;/s&gt;<br /> ** &lt;s&gt;[[Template:Spaceship|Spaceships]]&lt;/s&gt;<br /> ** &lt;s&gt;[[Template:Stilllife|Still lifes]]&lt;/s&gt;<br /> ** &lt;s&gt;[[Template:Pattern|Patterns]]&lt;/s&gt;<br /> ** Use it where appropriate.<br /> ** Add the necessary supporting template/category infrastructure.<br /> <br /> * Add Catagolue links (using [[Template:LinkCatagolue]] and &lt;tt&gt;style=brief&lt;/tt&gt;) to pages [[Special:WhatLinksHere/Template:JavaRLE|transcluding]] [[Template:JavaRLE]], currently:<br /> ** DONE: &lt;s&gt;[[Lightweight spaceship]]&lt;/s&gt;<br /> ** NOT DONE: [[Canada goose]], [[Still life]], [[Pure glider generator]], [[Pseudo-barberpole]], [[Jolson]], [[Ants]], [[Gosper glider gun]], [[New gun 1]], [[Crab]], [[Toad]], [[Pre-pulsar]], [[Snacker]], [[Hivenudger]], [[Twin bees shuttle]], [[Centinal]], [[Bi-block]], [[Figure eight]], [[Big glider]], [[Biting off more than they can chew]], [[Brain]], [[Queen bee shuttle]], [[Candelabra]], [[Eater 1]], [[Table on table]], [[Swan]], [[Century]], [[Eater 3]], [[Eater]], [[Tub-with-tail eater]], [[Eureka]], [[Garden of Eden]], [[Sawtooth 260]], [[Turtle]], [[Phoenix 1]], [[Star]], [[Pentoad]], [[Pi-heptomino]], [[Types of spaceships]], [[Weekender]], [[60P3H1V0.3]], [[Gourmet]], [[Dragon]], [[Pipsquirter 1]], [[114P6H1V0]], [[Fumarole]], [[Maze]], [[2x2]], [[X66]], [[Edge-repair spaceship 1]], [[6-engine Cordership]], [[Seal]], [[7-engine Cordership]], [[4-engine Cordership]], [[3-engine Cordership]], [[Tagalong]], [[Replicator]], [[Move]], [[Pre-pulsar shuttle 29]], [[Pre-pulsar shuttle 47]], [[Pre-pulsar spaceship]], [[Sidecar]], [[Fly]], [[112P51]], [[37P10.1]], [[54P17.1]], [[Caterer on 34P13]], [[92P33.1]], [[Champagne glass]], [[Pi orbital]], [[Dinner table]], [[34P13]], [[Caterer on 44P7.2]], [[HighLife]], [[124P37]], [[98P25]], [[Block-laying switch engine]], [[Glider-producing switch engine]], [[Queen bee]], [[Gliders by the dozen]], [[Blinker fuse]], [[Slow puffer 2]], [[Wickstretcher 1]], [[Wing (spaceship)]], [[Vacuum (gun)]], [[OTCA metapixel]], [[Transparent debris effect]], [[Gunstar]], [[Total aperiodic]], [[Hassle]], [[Tractor beam]], [[Thumb]], [[Infinite glider hotel]], [[Glider duplicator]], [[Familiar fours]], [[Star gate]], [[Pipsquirter]], [[Pipsquirter 2]], [[Halfmax]], [[Space rake]], [[60P5H2V0]], [[One cell thick pattern]], [[7-in-a-row Cordership]], [[Mosquito 1]], [[P94S]], [[Barge (spaceship)]], [[Barge 2 (spaceship)]], [[Infinite growth]], [[Roteightor]], [[Life without death]], [[Pre-pulsar shuttle 26]], [[Pentadecathlon on snacker]], [[P56 B-heptomino shuttle]], [[38P7.2]], [[Snacker on 38P7.2]], [[88P28]], [[258P3]], [[C/5 diagonal]], [[C/5 orthogonal]], [[44P5H2V0]], [[119P4H1V0]], [[C/4 orthogonal]], [[C/4 diagonal]], [[2c/5 orthogonal]], [[C/3 orthogonal]], [[C/2 orthogonal]], [[P49 glider shuttle]], [[P35 beehive hassler]], [[104P177]], [[P36 toad hassler]], [[P44 pi-heptomino hassler]], [[117P9H3V0]], [[233P3H1V0]], [[P48 toad hassler]], [[P15 pre-pulsar spaceship]], [[B29]], [[Diuresis]], [[Slide gun]], [[Edna]], [[Newshuttle]], [[132P37]], [[P42 glider shuttle]], [[P50 glider shuttle]], [[58P5H1V1]], [[48P31]], [[Figure eight on pentadecathlon]], [[P156 Hans Leo hassler]], [[P5 reflector]], [[P44 traffic light hassler]], [[Period-59 glider gun]], [[1xN quadratic growth]], [[Pufferfish]], [[Period-50 glider gun]], [[Period-61 glider gun]], [[Double block reaction]], [[2c/3 orthogonal]]<br /> <br /> === Next/Later ===<br /> <br /> * Make [[Template:GunNavbox]] and use it on [[Template:GunBarrelCategory]], [[Template:GunPeriodCategory]], [[:Category:Guns with a specific number of barrels]] and [[:Category:Guns with specific period]].<br /> ** Also look into making [[Template:GunNumbers]] à la [[Template:OscNumbers]].<br /> <br /> * Write articles for common patterns from Catagolue.<br /> ** xp2: [[Monotub spark coil]], xp2_og2t1e8z6221, anything rarer than #40 on my list<br /> ** ...<br /> <br /> * Make or consider making new pattern templates, along with the supporting template/category infrastructure for each, and use them where appropriate. Also add category links to [[Template:PatternMainNavbox]] (&quot;minor types&quot;).<br /> ** [[Template:Breeder]] (well, there's [[Template:MovingBreeder]]...)<br /> ** [[Template:CaberTosser]]<br /> ** &lt;s&gt;[[Template:Conduit]]&lt;/s&gt;<br /> ** &lt;s&gt;[[Template:Converter]]&lt;/s&gt;<br /> ** [[Template:GardenOfEden]]<br /> ** &lt;s&gt;[[Template:InductionCoil]]&lt;/s&gt;<br /> ** [[Template:InfiniteGrowth]] - distinct from [[Template:Puffer]]?<br /> ** ''[[Template:LoopOscillator]]'' - probably not necessary<br /> ** ''[[Template:MutteringMoat]]'' - probably not necessary<br /> ** [[Template:Reaction]]<br /> ** [[Template:Seed]]<br /> ** ''[[Template:ShuttleOscillator]]'' - probably not necessary<br /> ** [[Template:Spacefiller]]<br /> ** [[Template:Spark]]<br /> ** [[Template:Superstring]]<br /> ** [[Template:Tagalong]]<br /> ** &lt;s&gt;[[Template:UnitCell]]&lt;/s&gt;<br /> ** [[Template:Waveguide]]<br /> <br /> * Go through [[:Category:Pages without pattern files]] and add raw RLE snippets where possibly/appropriate.<br /> ** Many of these snippets are on [[User talk:Nathaniel]].<br /> <br /> * Where appropriate, move references out of main article text for further readability/editability.<br /> ** See [http://conwaylife.com/w/index.php?title=Pentadecathlon&amp;diff=25738&amp;oldid=25735] for an example.<br /> <br /> * Citation templates:<br /> ** &lt;s&gt;Make a &lt;tt&gt;&lt;nowiki&gt;{{CiteLifeLine}}&lt;/nowiki&gt;&lt;/tt&gt; template that can be used to cite LifeLine issues easily without resorting to &lt;tt&gt;&lt;nowiki&gt;{{cite web}}&lt;/nowiki&gt;&lt;/tt&gt;.&lt;/s&gt; - already exists.<br /> ** &lt;s&gt;Use [[Template:CiteLifeline]] where Lifeline is currently cited directly.&lt;/s&gt;<br /> ** &lt;s&gt;Make [[Template:CiteForumPost]].&lt;/s&gt; Use [[Template:LinkForumThread]], with &lt;tt&gt;format=ref&lt;/tt&gt;.<br /> *** Use it wherever [[Template:Cite web]] is currently used to cite forum posts.<br /> *** Also use it where forum posts are referenced without a citation template.<br /> ** Make a list of citation templates, transclude it in their documentation. Better yet, use DPL to generate it automatically.<br /> <br /> * Make and use DPL templates for oscillator population and sawtooth population, as for [[Template:OscNumbers|oscillator periods]] and [[Template:SawtoothNumbers|sawtooth expansion factors]].<br /> ** Also for other things?<br /> <br /> * &lt;s&gt;Most population 12 still lifes have no entries.&lt;/s&gt;<br /> ** Given how many there are, consider discussing up to which size still lives should have entries at all.<br /> <br /> * Make nicer-looking versions of the following images (and possibly others), and also consider giving them more informative names where appropriate:<br /> ** [[:File:LINEZB.GIF]], [[:File:LINEVB.GIF]], [[:File:LINECW.GIF]], [[:File:LINEDG.GIF]], [[:File:LINEPH.GIF]],[[:File:TILEOR.GIF]], [[:File:TILEML.GIF]], [[:File:TILEHO.GIF]], [[:File:TILEHA.GIF]], [[:File:TILEHB.GIF]], [[:File:TILESD.GIF]], [[:File:TILEPS.GIF]], [[:File:RCPAAGR.GIF]] (used on [[Agar]])<br /> ** [[:File:RCPASEQ.GIF]], [[:File:RCPAQES.GIF]], [[:File:RCPAWIK.GIF]], [[:File:RCPAAGR.GIF]], [[:File:RCPARGR.PNG]] (used on [[Reciprocating agar]])<br /> ** [[:File:TELEP0.PNG]], [[:File:TELEP1.PNG]], [[:File:TELEP4.PNG]], [[:File:TELEP7.PNG]], [[:File:TELEP8.PNG]] (used on [[Teleportation]])<br /> ** [[:File:RAWDGL.PNG]], [[:File:MKRHIV.PNG]], [[:File:MKRBKR.PNG]], [[:File:MKRBCN.PNG]], [[:File:MKRBOA.PNG]], [[:File:MKRVST.PNG]], [[:File:DUALIN.PNG]], [[:File:DUALEQ.PNG]], [[:File:PHXTUB.PNG]], [[:File:CWIRE.GIF]] (used on [[Fuse]])<br /> ** [[:File:22DBRU.PNG]], [[:File:22SSET.PNG]] (used on [[Subset diagram]])<br /> ** [[:File:SESQIN.PNG]], [[:File:SESQEQ.PNG]], [[:File:SESQOV.PNG]], [[:File:SESQUN.PNG]], [[:File:SESQUD.PNG]], [[:File:SESQTM.PNG]], [[:File:LILFIRE.GIF]], [[:File:FIRETD.PNG]], [[:File:FIREIN.PNG]], [[:File:FIRERO.PNG]], [[:File:FIREUP.PNG]], [[:File:FIRERI.PNG]], [[:File:FIREXX.PNG]] (used on [[Lindenmayer systems]])<br /> ** [[:File:DDBWI6.PNG]], [[:File:DDBW6A.PNG]], [[:File:DDBW6B.PNG]], [[:File:DDBW6C.PNG]], [[:File:DDBW6D.PNG]], [[:File:DDBW6E.PNG]], [[:File:DDBW6F.PNG]], [[:File:DDBW6Z.PNG]] (used on [[Northeast single shift agar]])<br /> ** [[:File:DOMWIK.GIF]], [[:File:STRPND.GIF]], [[:File:BNTPND.GIF]], [[:File:BHLFMTX.GIF]], [[:File:FNXONE.GIF]], [[:File:BHLFWIK.GIF]], [[:File:FNXTWO.GIF]], [[:File:FNXRNG.GIF]] (used on [[Random walk]])<br /> ** [[:File:ORTHV1.GIF]], [[:File:ORTHP1.GIF]], [[:File:ORTHP2.GIF]], [[:File:ORTHV2A.GIF]], [[:File:ORTHV2B.GIF]], [[:File:DIADB.GIF]], [[:File:DIAIV.GIF]], [[:File:DIAVV.GIF]], [[:File:DIA4L2.GIF]], [[:File:DIAX4L2.GIF]] (used on [[Ripples]])<br /> ** [[:File:SNABR1.GIF]], [[:File:SNABR2.GIF]], [[:File:SNABR3.GIF]], [[:File:SNAGAR.GIF]], [[:File:SNALAK.GIF]] (used on [[Herparian agar]])<br /> ** [[:File:RVFUSE1.GIF]], [[:File:RVFUSE2.GIF]] (used on [[Reverse fuse]])<br /> ** &lt;s&gt;[[:File:ZEBRAGAR.GIF]] (used on [[Zebra stripes]])&lt;/s&gt;<br /> ** &lt;s&gt;[[:File:AGARONION.GIF]] (used on [[Onion rings]])&lt;/s&gt;<br /> ** [[:File:PHNXX.PNG]] (used on [[Phoenix]])<br /> ** [[:File:SEDON5.PNG]], [[:File:FIGLW5.PNG]], [[:File:MYRLW5.PNG]] (used on [[Ants]])<br /> ** [[:File:DBSW2A.PNG]], [[:File:DBSW2B.PNG]] (used on [[Chicken wire]])<br /> ** (?) [[:File:Houndstooth.png]] (used on [[Houndstooth agar]])<br /> ** &lt;s&gt;[[:File:Goldenhead.jpeg]] (used on [[Copperhead]])&lt;/s&gt;<br /> ** [[:File:BIGFIRE.GIF]], [[:File:PONWIK.GIF]], [[:File:NODES5.PNG]], [[:File:FJGSW3.PNG]], [[:File:ANTSW5.PNG]], [[:File:L2g converter.jpeg]] (unused)<br /> ** &lt;s&gt;[[:File:Flock p2.jpeg]], [[:File:Flock p4.jpeg]], [[:File:Flock hp.jpeg]] (used on [[Flock]])&lt;/s&gt;<br /> ** [[:File:3c7 p28 wave.jpeg]], [[:File:3c10 pi wave.jpeg]] (unused)<br /> ** [[:File:Nivasch caterpillar.gif]], [[:File:Caterpillar full.jpeg]] (used on [[Caterpillar]])<br /> ** Most files uploaded by [[User:AwesoMan3000]]<br /> <br /> * Create images for pages in [[:Category:Pages with broken file links]].<br /> <br /> * Various patterns are [[:Category:Pages without pattern files|missing pattern files]]. Bug Nathaniel or the other admins about adding those.<br /> <br /> * Outdated/orphaned pages in need of attention:<br /> ** [[Game of Life statistics]]<br /> ** [[Period 5 oscillators]]<br /> ** [[Timeline of Life facts]]<br /> <br /> * Transcribe further [[LifeLine]] issues.<br /> ** Modulo community consensus, update existing transcriptions to use LifeViewer and on-wiki RLE snippets instead of static images.<br /> ** Also see [[Lifeline/project]].<br /> <br /> * Add entries for various &quot;well-known&quot; (i.e. well-investigated) rules, especially named ones.<br /> <br /> * Write articles for &quot;Pattern of the Year&quot; nominations (see ConwayLife.com forums). Any pattern thus nominated is clearly important.<br /> <br /> * Write articles for various noteworthy oscillators; see [[Talk:Oscillator#Recent_records]].<br /> <br /> * (Perhaps) write articles for all patterns in the various &quot;stamp collections&quot; floating around, notably jslife and Dean Hickerson's stamp collections.<br /> <br /> * Make sure all oscillators/spaceships have animated images, and create/upload missing ones.<br /> <br /> * Add rule parameters to spaceship pages.<br /> <br /> * Double-check oscillators starting with $, 0-9, A, B to make sure &lt;tt&gt;rulemin&lt;/tt&gt; is correct.<br /> <br /> * Add &lt;tt&gt;rulespecial=&lt;/tt&gt; parameters to oscillators, still lifes and spaceships where appropriate.<br /> ** Better yet, do away with &lt;tt&gt;rulespecial&lt;/tt&gt; and autogenerate the data from &lt;tt&gt;rulemin&lt;/tt&gt; and &lt;tt&gt;rulemax&lt;/tt&gt;, using a list of candidate rules based on [[List of Life-like cellular automata]].<br /> <br /> * Add an &quot;in other rules&quot; section to pattern articles.<br /> <br /> * &lt;s&gt;Format infoboxes for [[:Category:Books and articles|books and articles]].&lt;/s&gt;<br /> <br /> * Make [[Template:CrawlerNavbox]] and use it on the crawler-related categories/templates instead of the generic PatternMainNavbox.<br /> <br /> * Pages needing cleanup:<br /> ** [[(13,1)c/31 Pseudo-B climber]]<br /> ** [[(23,5)c/79 Herschel climber]]<br /> ** [[(27,1)c/72 Herschel climber]]<br /> ** [[(34,7)c/156 Herschel climber]]<br /> ** [[31c/240 reaction]]<br /> ** [[Almost knightship]]<br /> ** [[Cis-mirrored worm]]<br /> ** [[Cis-mirrored worm siamese cis-mirrored worm]]<br /> ** [[Flock]] (2x2 oscillator imgs)<br /> ** [[Reciprocating agar]]<br /> ** [[Very^3 long boat]]<br /> ** [[Very^4 long boat]]<br /> ** [[Very^5 long boat]]<br /> ** [[Very^6 long boat]]<br /> ** [[Very^7 long boat]]<br /> ** Various pages created since ~2016-07-22; anything created/edited by [[User:AwesoMan3000]]<br /> <br /> * Add a symmetry option to [[Template:Pattern]] (and related templates) and display the pattern's symmetry in the infobox, and also put patterns into the right symmetry category automatically.<br /> ** This should be discussed at the Tiki bar first.<br /> <br /> * &lt;s&gt;Modify [[Template:Pattern]] (etc.) to allow specifying several discoverers.&lt;/s&gt;<br /> ** &lt;s&gt;Fix up articles currently doing this manually.&lt;/s&gt;<br /> *** DONE, except: [[Heavyweight volcano]], [[Pre-pulsar spaceship]]. See [[LifeWiki:Tiki bar#Listing_multiple_discoverers_in_pattern_infoboxes|Tiki bar discussion]].<br /> <br /> * Add documentation to [[Template:cite web]].<br /> <br /> * (?) Rebase [[Template:Pattern]] etc. on a generic [[Template:Infobox]].<br /> ** This is a disruptive change that should gain consensus at the Tiki bar first.<br /> <br /> === Stalled ===<br /> <br /> * Add [[Template:LinkCatagolue]] on object's pages.<br /> ** &lt;s&gt;Still lifes:&lt;/s&gt;<br /> *** &lt;s&gt;Up to 10 bits&lt;/s&gt; - DONE; all objects have entries<br /> *** &lt;s&gt;11 bits and more&lt;/s&gt; - DONE all objects with entries have the right templates<br /> ** &lt;s&gt;Oscillators&lt;/s&gt; - DONE, except:<br /> *** [[Interchange]], [[Killer toads]], [[Traffic light]] - NOT DONE, pseudo objects<br /> *** [[P57 Herschel loop 1]], [[P59 Herschel loop 1]], [[P61 Herschel loop 1]], - NOT DONE, too large; although these can be encoded in extended form, Catagolue cannot currently handle the resulting codes.<br /> *** [[P59 Herschel loop 2]], [[P61 Herschel loop 2]] - NOT DONE, no pattern files<br /> ** &lt;s&gt;Spaceships&lt;/s&gt; - DONE, except:<br /> *** [[Caterloopillar]], [[Caterpillar]], [[Centipede]], [[Demonoid]], [[Gemini]], [[Half-baked knightship]], [[Parallel HBK]], [[Shield bug]], [[Waterbear]] - NOT DONE, too large<br /> *** &lt;s&gt;(L|M|H)WSS [[spaceship flotilla|flotillae]] - DONE&lt;/s&gt;<br /> ** Puffers:<br /> *** [[Block-laying switch engine]], [[Glider-producing switch engine]], [[Pufferfish]], [[Pony express]] - DONE<br /> *** Everything else - NOT DONE<br /> <br /> * &lt;s&gt;Use [[Template:LinkLexicon]] instead of hardcoded Life Lexicon links&lt;/s&gt; - DONE, except for the occasional stray link not in the search index<br /> ** Grab an XML dump of the current revisions and grep through it to find any remaining links.<br /> ** DONE, except:<br /> *** [[Filter]], [[Plaintext]], [[Spaceship terminology]], [[Stephen Silver]], [[Types of spaceship]], [[LifeWiki:Life links]], [[LifeWiki:Task list]]: not sure right now how to best avoid direct links there.<br /> *** [[Talk:Pi ship]], [[Talk:Triple pseudo still life]] - NOT DONE, talk pages<br /> *** [[User:Sokwe]] - NOT DONE, user page<br /> *** [[Template:CiteLexicon]], [[Template:LinkLexicon]] - obviously these have to use direct links.<br /> <br /> * &lt;s&gt;Check oscillator pages and ensure the infoboxes have rulemin and rulemax parameters.&lt;/s&gt;<br /> ** Bit for cutting and pasting: &lt;tt&gt;&lt;nowiki&gt;|rulespecial=[[Conway's Game of Life|Conway Life]]|rulemin=B3/S23|rulemax=&lt;/nowiki&gt;&lt;/tt&gt;. But keep in mind some oscillators do in fact work in &quot;lower&quot; rules such as B3/S3 ([[clock]]) or B3/S2 ([[blinker]], [[fox]], [[killer toads]], [[toad]], [[traffic light]]).<br /> ** Use [http://entropymine.com/jason/life/oscillizer/ Oscillizer] to figure these out if not. Note that Oscillizer chokes on rule specs in S/B notation (e.g. 23/3); they have to be in B/S notation (e.g. B3/S23).<br /> ** DONE, except for:<br /> *** [[P59 Herschel loop 1]], [[P61 Herschel loop 1]] - NOT DONE, too large for Oscillizer<br /> *** [[P59 Herschel loop 2]], [[P61 Herschel loop 2]] - NOT DONE, no RLE<br /> <br /> * &lt;s&gt;Create [[Template:LinkPentadecathlonObject]]&lt;/s&gt;<br /> ** ...and start using it.<br /> <br /> * &lt;s&gt;Most population 11 still lifes have no entries.&lt;/s&gt;<br /> ** Resources:<br /> *** [[:Category:Strict still lifes with 11 cells]] - current entries<br /> *** [https://catagolue.appspot.com/census/b3s23/C1/xs11 xs11 on Catagolue] - complete list<br /> *** [http://codercontest.com/mniemiec/p1.htm#p1-11 Niemiec] - complete list<br /> ** &lt;s&gt;Create and upload images&lt;/s&gt; - DONE<br /> ** &lt;s&gt;Write articles, create redirects&lt;/s&gt; - DONE<br /> ** Have Nathaniel add patterns for the objects and their syntheses - NOT DONE<br /> <br /> === Done ===<br /> <br /> * &lt;s&gt;Create and use [[Template:LinkCellebration]]&lt;/s&gt; - DONE<br /> ** Actually, replaced by [[Template:LinkMirek]].<br /> * &lt;s&gt;Create and use [[Template:LinkCallahan]]&lt;/s&gt; - DONE, I believe<br /> * &lt;s&gt;Create and use [[Template:LinkForumThread]]&lt;/s&gt; - DONE (for Main namespace articles anyway)<br /> <br /> * &lt;s&gt;The following gliders in David Eppstein's DB don't seem to have articles:&lt;/s&gt;<br /> ** &lt;s&gt;http://fano.ics.uci.edu/ca/gliders/g16485.html&lt;/s&gt;<br /> ** &lt;s&gt;http://fano.ics.uci.edu/ca/gliders/g16532.html&lt;/s&gt;<br /> <br /> * &lt;s&gt;Use DPL to automatically populate the list of link templates.&lt;/s&gt;<br /> <br /> * &lt;s&gt;Add rule parameters to still lifes.&lt;/s&gt; - DONE<br /> ** [http://entropymine.com/jason/life/oscillizer/main.html Oscillizer] also works for these, since they're really p1 oscillators.<br /> ** Snippet: &lt;tt&gt;&lt;nowiki&gt;|rulespecial=[[Conway's Game of Life|Conway Life]]|rulemin=B/S23|rulemax=B/S012345678&lt;/nowiki&gt;&lt;/tt&gt;. Fill in B conditions for rulemax. Note: rulemin may also be B/S2 or B/S3.<br /> <br /> * &lt;s&gt;Use &lt;tt&gt;&lt;nowiki&gt;{{CiteLexicon}}&lt;/nowiki&gt;&lt;/tt&gt; where appropriate.&lt;/s&gt;<br /> ** &lt;s&gt;Grep an XML dump of the current revisions to find what needs updating.&lt;/s&gt;<br /> <br /> * &lt;s&gt;Put a &lt;tt&gt;&lt;nowiki&gt;{{DISPLAYTITLE}}&lt;/nowiki&gt;&lt;/tt&gt; on pages like [[P11 double-length signal injector]] to avoid capitalizing the &quot;p&quot;. Also adjust infobox names if necessary.&lt;/s&gt;<br /> <br /> * &lt;s&gt;[[LifeWiki:Tiki bar]]&lt;/s&gt;<br /> <br /> * &lt;s&gt;Make images for [[Symmetry]] illustrating the various kinds of symmetry, à la Alexey Nigin in the linked thread.&lt;/s&gt;<br /> <br /> * &lt;s&gt;Format infobox transclusions on pattern pages for readability/editability.&lt;/s&gt;<br /> ** &lt;s&gt;See [http://conwaylife.com/w/index.php?title=Pentadecathlon&amp;diff=25735&amp;oldid=25714] for an example.&lt;/s&gt;<br /> ** &lt;s&gt;Make a local helper script to handle this.&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Patterns]]: &lt;tt&gt;$, 1-9, A-Z&lt;/tt&gt;&lt;/s&gt; - DONE<br /> <br /> * Rewrite/edit:<br /> ** &lt;s&gt;[[Broken lines]]&lt;/s&gt;<br /> <br /> * &lt;s&gt;Last two [[Most common objects on Catagolue|top 100 objects]] on [[Catagolue]] without articles:&lt;/s&gt;<br /> ** &lt;s&gt;[[Cis-mirrored R-mango]] (#89)&lt;/s&gt;<br /> ** &lt;s&gt;[[Cis-mirrored R-loaf]] (#92)&lt;/s&gt;<br /> <br /> * &lt;s&gt;[[LifeWiki:Did you know/25]] is out of date; [[Sawtooth 177]] is smaller.&lt;/s&gt;<br /> * &lt;s&gt;[[Template:SpaceshipNavbox]] should list [[:Category:Spaceships with specific direction]] and [[:Category:Spaceships with specific slope]].&lt;/s&gt;<br /> * &lt;s&gt;[[Template:Disambig]] should put pages into [[:Category:Disambiguation pages]].&lt;/s&gt;<br /> * &lt;s&gt;The following categories should be placed in [[:Category:Pattern categories]]:&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Still lifes]]&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Reflectors]]&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Pure glider generators]]&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Puffer engines]]&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Pseudo still lifes]]&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Patterns]]&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Induction coils]]&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Eaters]]&lt;/s&gt;<br /> * &lt;s&gt;The following category should be placed in [[:Category:Toplevel category]]:&lt;/s&gt;<br /> ** &lt;s&gt;[[:Category:Everything else]]&lt;/s&gt;<br /> * &lt;s&gt;[[Template:Gun]] should categorize guns according to their periods.&lt;/s&gt;<br /> * &lt;s&gt;Add a parameter indicating the number of barrels to [[Template:Gun]].&lt;/s&gt;<br /> * &lt;s&gt;Add &quot;family&quot; parameter to [[Template:Stilllife]] and [[Template:Pattern]], à la [[Template:Oscillator]] and [[Template:Spaceship]].&lt;/s&gt;<br /> ** &lt;s&gt;Add links to family category and important families to [[Template:OscillatorNavbox]], à la [[Template:SpaceshipNavbox]].&lt;/s&gt;<br /> * &lt;s&gt;[[Main Page]] lists &lt;tt&gt;all.zip&lt;/tt&gt; as a 2 MiB file; it's actually 45.7 MiB right now.&lt;/s&gt;<br /> * &lt;s&gt;[[Template:PatternNavbox]] is missing a number of &quot;other categories&quot;.&lt;/s&gt;<br /> * &lt;s&gt;[[Template:PatternDownload]] should handle cases where rulemin or rulespecial is passed but not rulemax without printing e.g. &quot;# of rules: 2&lt;sup&gt;-6&lt;/sup&gt; = 0.015625&quot;.&lt;/s&gt;<br /> <br /> * &lt;s&gt;Merge [[Template:CatagolueBrief]] into [[Template:LinkCatagolue]] and add a &lt;tt&gt;style=&lt;/tt&gt; parameter to control how Catagolue links are formatted, e.g. &lt;tt&gt;style=listitem&lt;/tt&gt; (default), &lt;tt&gt;style=brief&lt;/tt&gt;, etc.&lt;/s&gt;<br /> <br /> * &lt;s&gt;The RLE/Plaintext/Life 1.05/Life 1.06 files for [[Killer candlefrobras]] are wrong, encoding the &quot;Killer candlefrobras eating an HWSS&quot; reaction instead of the pattern itself.&lt;/s&gt;<br /> <br /> === Needs admin assistance ===<br /> <br /> * Install the [https://www.mediawiki.org/wiki/Extension:InputBox InputBox] extension and create preload templates for oscillators, spaceships, still lifes, rules etc. to make it easier for non-techies to contribute pages.<br /> ** See [[User:Apple Bottom/Page Creation Box]] for how a template using the extension, and [[User:Apple Bottom/Create a page]] for an example of how the template might be used.<br /> <br /> == General ideas for LifeWiki ==<br /> <br /> * Would be nice to have better integration of RLE. Perhaps an extension to handle it, either in its own namespace (&lt;tt&gt;RLE:&lt;/tt&gt;) or as parser tags (&lt;tt&gt;&amp;lt;rle&amp;gt;&lt;/tt&gt;). Images could also be auto-generated from RLE then. [https://www.mediawiki.org/wiki/Extension:EasyTimeline Extension:EasyTimeline] might serve as a base.<br /> * &lt;s&gt;LifeViewer integration would also be nice, ideally tied into the above. See [http://lazyslug.no-ip.biz/lifeview/], [http://www.conwaylife.com/forums/viewtopic.php?f=3&amp;t=1622].&lt;/s&gt;<br /> * Information on patterns etc. could additionally be encoded in a semantic format to facilitate automated processing. See [https://en.wikipedia.org/wiki/Semantic_Web]. Alternatively, would a Wikidata-like repo of facts be useful?<br /> ** This could be done in [[Template:Pattern]] etc., and would be transparent to human users; articles would still render as before, and their source text wouldn't need to be changed.<br /> ** What would be the best solution for this? Generating machine-readable data in some XML- or JSON-based microformat, Semantic Mediawiki, or a Wikidata-like repository?<br /> * Would be nice to handle other rules in some way.<br /> ** How would articles be named? Prefixes/namespaces (e.g. &lt;tt&gt;HighLife:Bomber&lt;/tt&gt; or &lt;tt&gt;B36/S23:Bomber&lt;/tt&gt;)? Suffixes (e.g. &lt;tt&gt;Bomber (HighLife)&lt;/tt&gt; or &lt;tt&gt;Bomber (B36/S23)&lt;/tt&gt;)? What about patterns that work in several important rules, such as the [[Moon]] (which is in both [[Seeds]] and [[Live Free or Die]], not to mention various other B2 rules)?<br /> ** How would pattern categories work? Different category trees for each rule?<br /> ** Might be better to keep wikis for different rules separate (though they could share the same MediaWiki codebase, the way that the Wikimedia Foundation runs many different wikis). But this would lead to duplication of effort for templates etc. Would a central template repository be useful? (What if different wikis want to tweak the same template in different ways? The repo could act as a shadow repo only providing templates not present locally, but this would still mean templates would likely diverge instead of being edited globally.)<br /> * MediaWiki supports Lua scripting. Would be good to have, to replace the more complicated templates and to do things difficult to do with templates at all.<br /> * Combatting spam:<br /> ** MediaWiki has various rate-limiting features etc. to combat spam. These could perhaps be used to do away with the &quot;you manually have to request the trusted flag to edit&quot; bit.<br /> ** Alternatively, or in addition, it's possible to limit editing to auto-confirmed users.<br /> ** There's also stable versions and patrolling.<br /> <br /> == Misc. ==<br /> <br /> [[Algorithm]] • [[Allan Wechsler]]<br /> <br /> == Catagolue ==<br /> <br /> Note: A complete list of named objects can now be found [https://gitlab.com/apgoucher/catagolue/blob/master/initialise/all-common-names.txt on Gitlab].<br /> <br /> Objects seen and named in [[Adam P. Goucher|APG]]'s [[Catagolue]] that do not have LifeWiki articles (incomplete; also note that names with underscores, question marks or square brackets in them are excluded):<br /> <br /> === Oscillators ===<br /> <br /> ==== Period 2 ====<br /> <br /> [[Beacon on something]] • [[Beacon on table with tail]] • [[Cis-bipole and dock]] • [[Cis-bipole and table]] • [[G and spark coil]] • [[Griddle and cap]] • [[Griddle and pond]] • [[Honeycombinatorial spark coil]] • [[Lightbulbs]] • [[Loaf tub test tubebaby]] • [[Molten test-tube]] • [[Monoboat spark coil]] • [[Monotub spark coil]] • [[Sad face]] • [[Spark coil on distant-boats]] • [[Spark coil on distant-ships]] • [[Symmetric griddles]] • [[Trans-bipole and dock]]<br /> <br /> ==== Period 3 ====<br /> <br /> [[4 blocks on star]] • [[Candlefrobra on cis-boat-up]] • [[Candlefrobra on cis-pond]] • [[Candlefrobra on ortho-loaf-up]] • [[Candlefrobra on trans-boat-up]] • [[Candlefrobra on trans-ship-up]] • [[Dock tub eater]] • [[Keys variant]] • [[Moving omnibus]] • [[Sym boat keys]]<br /> <br /> ==== Period 4 ====<br /> <br /> [[4 tails]] • [[Blinker with 4 tails]] • [[Cis-mold and dock]] • [[Cloverleaf +1]] • [[Cloverleaf +2]] • [[Cloverleaf +3]] • [[Cloverleaf +6]] • [[Octagon IV w block]]<br /> <br /> ==== Period 5 ====<br /> <br /> [[8 barges harbor]] • [[8 boats on harbor]] • [[Boats-fumarole]] • [[Ship-tie-boats fumarole]] • [[Tubs-fumarole]]<br /> <br /> ==== Period 8 ====<br /> <br /> [[Blocker on cap]] • [[Pond in a bottle]]<br /> <br /> ==== Period 15 ====<br /> <br /> [[Bi-pentadecathlon 1]] • [[Bi-pentadecathlon 2]] • [[Bi-pentadecathlon 3]] • [[Bi-pentadecathlon 4]] • [[Bi-pentadecathlon 5]] • [[Bi-pentadecathlon 6]] • [[Bi-pentadecathlon 7]] • [[Bi-pentadecathlon 8]] • [[Bi-pentadecathlon 9]] • [[Bi-pentadecathlon 10]] • [[Bi-pentadecathlon 11]] • [[Bi-pentadecathlon 12]] • [[Bi-pentadecathlon 13]] • [[Bi-pentadecathlon with blocks]] • [[Fourfold buddleia]] • [[Pentadecathlon on dock on block]] • [[Pentadecathlon on eater]] • [[Pentadecathlon with eaters]] • [[Pentadecathlons hassling long barge]] • [[Pulsar-on-pentadecathlon I]] • [[Pulsar-on-pentadecathlon II]] • [[Tri-pentadecathlon 3]] • [[Tri-pentadecathlon 7]] • [[Tri-pentadecathlon 12]] • [[Tri-pentadecathlon 15]]<br /> <br /> ==== Period 30 ====<br /> <br /> [[E-buckaroo]] • [[Queen bees revisiting hive]] • [[Shortened E-buckaroo with dock on dock]] • [[Shortened Z-buckaroo with cis-boat-and-dock]] • [[Shortened Z-buckaroo with integral]] • [[Symmetric queen-bee-shuttle 1]] • [[Z-buckaroo]] • [[Z-buckaroo with integral]]<br /> <br /> === Still lives ===<br /> <br /> ==== Population 13 ====<br /> <br /> [[Aircraft on longboat]] • [[Barge long prodigal]] • [[Beehive on hook]] • [[Boat on canoe]] • [[Boat on long ship]] • [[Boat on shillelagh]] • [[Cis-boat-down and longhook]] • [[Cis-eater on table]] • [[Cis-longboat and table]] • [[Hexagonal key]] • [[Hook and snake]] • [[House siamese shillelagh]] • [[Krake]] • [[Long boat-claw with tail]] • [[Para-eater and table]] • [[Para-loaf and table]] • [[R-bee on beehive]] • [[Shillelagh on boat]] • [[Ship on eater]] • [[Ship on long Snake]] • [[Snake and hook]] • [[Snake on longboat]] • [[Trans-boat and cap]] • [[Trans-boat-down and longhook]] • [[Trans-boat-up and longhook]] • [[Trans-eater and table]] • [[Trans-longboat and table]] • [[Trans-longboat with nine]] • [[Very^4 long canoe]]<br /> <br /> ==== Population 14 ====<br /> <br /> [[Aircraft at cap]] • [[Boat on integral]] • [[Cap and table]] • [[Cis-aircraft and longhook]] • [[Cis-aircraft on longhook]] • [[Cis-beehive and longhook]] • [[Cis-mango and table]] • [[Cis-mango with nine]] • [[Cis-ship and cap]] • [[Cis-ship and longhook]] • [[Cis-snake and longhook]] • [[Eater on longboat]] • [[Hat siamese hat]] • [[Hat siamese loaf]] • [[Hook on hook]] • [[Integral siamese eater]] • [[Loaf on eater]] • [[Long inverted double claw]] • [[Longboat on eater]] • [[Longboat on longboat]] • [[Longhook and table]] • [[Meta-hook and R-bee]] • [[Ortho-aircraft and longhook]] • [[Ortho-eater on eater]] • [[Ortho-hook and R-bee]] • [[Ortho-hook on loaf]] • [[Ortho-longhook and table]] • [[Ortho-R-bee on loaf]] • [[Ortho-ship and longhook]] • [[Para-aircraft on cap]] • [[Para-hook and R-bee]] • [[Para-hook on loaf]] • [[Para-R-bee on loaf]] • [[Para-ship and longhook]] • [[Pond and table]] • [[R-loaf on beehive]] • [[Shifted R-bee]] • [[Shift-hook and R-bee]] • [[Ship on long ship]] • [[Ship on shillelagh]] • [[Snake and R-loaf]] • [[Snake on long ship]] • [[Trans-beehive and longhook]] • [[Trans-longbarge with nine]] • [[Trans-longhook and table]] • [[Trans-mango and table]] • [[Trans-mango with nine]] • [[Trans-mirrored hook]] • [[Trans-rotated hook]] • [[Trans-ship and cap]] • [[Trans-ship and longhook]] • [[Valentine]]<br /> <br /> ==== Population 15 ====<br /> <br /> [[beehive on R-mango]] • [[big S with tub]] • [[boat at table and block]] • [[cis-hook and R-loaf]] • [[eater on long ship]] • [[hook and shillelagh]] • [[hook on pond]] • [[loaf on pond]] • [[loaf on R-loaf]] • [[ortho-loaf and longhook]] • [[para-hook and R-loaf]] • [[para-loaf and cap]] • [[para-loaf and longhook]] • [[R-bee and shillelagh]] • [[R-bee on pond]] • [[R-bee on shillelagh]] • [[R-loaf on loaf]] • [[snake and R-mango]] • [[trans-hook and R-loaf]]<br /> <br /> ==== Population 16 ====<br /> <br /> [[cap and longhook]] • [[cis-hook and R-mango]] • [[cis-mirrored longhook]] • [[cis-R-bee and R-mango]] • [[cis-ship and dock]] • [[hook and C]] • [[loaf on R-mango]] • [[mango on R-loaf]] • [[ortho-aircraft and dock]] • [[ortho-hook and C]] • [[ortho-R-bee and C]] • [[para-aircraft and dock]] • [[para-hook and C]] • [[para-hook and R-havoc]] • [[pond and cap]] • [[pond on R-loaf]] • [[R-bee and C]] • [[trans-hook and R-mango]] • [[trans-R-bee and R-mango]] • [[trans-ship and dock]]<br /> <br /> ==== Population 17 ====<br /> <br /> [[block and anvil]] • [[cis-R-loaf and R-mango]] • [[ghost]] • [[maple leaf]] • [[ortho-loaf and dock]] • [[para-loaf and dock]] • [[para-R-loaf and C]] • [[R-mango on pond]] • [[ship on elevener]] • [[trans-R-loaf and R-mango]]<br /> <br /> ==== Population 25 ====<br /> <br /> [[squid]]<br /> <br /> ==== Population 28 ====<br /> <br /> [[block on long beehive on long beehive on block]]<br /> <br /> ==== Population 31 ====<br /> <br /> [[damaged skew 30-great-sym]] • [[ionic capital]]<br /> <br /> ==== Population 32 ====<br /> <br /> [[chandelier]] • [[Quartered shield]] • [[solenoidal gull]]<br /> <br /> ==== Population 34 ====<br /> <br /> [[Elf-shoe on elf-shoe]]<br /> <br /> ==== Population 36 ====<br /> <br /> [[Molten beehives-with-tails]] • [[narcissus]]<br /> <br /> == Life Lexicon ==<br /> <br /> :''See [[User:Apple Bottom/TODO/Life Lexicon]].''<br /> <br /> ==Pentadecathlon dictionary==<br /> <br /> See [http://pentadecathlon.com/dictionary/dictionary.php].<br /> <br /> [[Croaker]] • [[Flutter]]</div>

Praosylen https://conwaylife.com/w/index.php?title=User:HotdogPi/My_discoveries/Period_31-42&diff=86238 2021-12-20T20:35:40Z

<p>Praosylen: see edit summary on your p61+ page</p> <hr /> <div>{|<br /> |{{EmbedViewer<br /> |rle = <br /> 15b2o12b2o$15bobo4b2o4bobo$17bo3bo2bo3bo$17b2o3b2o3b2o$19b3o2b3o$17b4o<br /> b2ob4o$16bo5b2o5bo$14bo2bo10bo2bo$14b2obob8obob2o$15bobob8obobo$15bobo<br /> b8obobo$16bo12bo3$7b2o28b2o$2o6b3o24b3o6b2o$o5bo4bo22bo4bo5bo$b3obob4o<br /> 24b4obob3o$3bobo17b2o15bobo$4b2o2b3o10bo2bo10b3o2b2o$4b2o2b3o9b2o2b2o<br /> 9b3o2b2o$2bobo3b3o7b3o4b2o8b3o3bobo$bobob2ob3o7bo16b3ob2obobo$bobob2ob<br /> 3o16bo7b3ob2obobo$2bobo3b3o8b2o4b3o7b3o3bobo$4b2o2b3o9b2o2b2o9b3o2b2o$<br /> 4b2o2b3o10bo2bo10b3o2b2o$3bobo15b2o17bobo$b3obob4o24b4obob3o$o5bo4bo<br /> 22bo4bo5bo$2o6b3o24b3o6b2o$7b2o28b2o3$16bo12bo$15bobob8obobo$15bobob8o<br /> bobo$14b2obob8obob2o$14bo2bo10bo2bo$16bo5b2o5bo$17b4ob2ob4o$19b3o2b3o$<br /> 17b2o3b2o3b2o$17bo3bo2bo3bo$15bobo4b2o4bobo$15b2o12b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = p21 [[I-heptomino]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 112bo$111bobo$112bob3o2b2o$111b2ob2o3b2o$110bo2bo$111b4o$93b2o2b2o$51b<br /> 2o2b2o6b2o11bo11bo5bo3bo12b4o$7b2obo35b2o3b2o2bobo5bo10b3o5b2o3bobo4bo<br /> bobob2o8bo2bo$8bob3o27b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo9b2ob<br /> 2o3b2o$6bobo4bo3b2o15b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob3o5bo3bob2o7bo<br /> b3o2b2o$2b2obobob3obo3bo2b2o12bobo4bob2obobo9bobo9b4o6b4o3bo8b2o3bobob<br /> o5bobo$o2bobobobo8b2o2bo13bo2b2obobobo4b2o2b2obo8b2o5bo2b2o5b2o3b2ob2o<br /> 7b2o2bo6bo$2obo2b2o2bo8bobo8b2o2bobobobobo3bo5bo3bob2o4bobo3b2o2bob2o<br /> 3b3o2b3obob2o6b2o2b3o30b2o2b2o$3bo5bo9bobo4bob4o2bobo2bob2obobobo4bo2b<br /> obob2ob4obo3bob2o9bo4bo3b2o9b2o30bo3bo5bo11bo11b2o6b2o2b2o$3b2o4bo8b2o<br /> bobobob3obo3b2o3bo2b2o3b2o3b2ob2o2b3o2b2o4b2ob4o3b3ob2o2b2obo3b5o8b2o<br /> 23b2obobobo4bobo3b2o5b3o10bo5bobo2b2o3b2o35bob2o$5bo3bo2bo4bo2bob4o11b<br /> 2obo6b3o2b2o3bobo8b2o2bo4bobobobo8bo3b2ob2o5b2ob3o4b3o15bobobobo5bo2bo<br /> bobo2bo5bo3b2ob3o6bo9bobo3b2o27b3obo$5bo3bo2bo4b2o4b2o4bo6bo3bo6b3o2bo<br /> 2b2o5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o4bo14b2obo3bo5b3ob2obo4b6o3bob<br /> obo5b2ob9obobo3bo5b2o15b2o3bo4bobo$3b2o4bo7b2o4b2o4bo6bo3bo6b3o2bo2b2o<br /> 5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o4b2o12bobobo3b2o8bo3b4o6b4o9bobo9b<br /> obob2obo4bobo12b2o2bo3bob3obobob2o$3bo5bo7bo2bob4o11b2obo6b3o2b2o3bobo<br /> 8b2o2bo4bobobobo8bo3b2ob2o5b2ob3o18bo2b2o7b2ob2o3b2o5b2o2bo5b2o8bob2o<br /> 2b2o4bobobob2o2bo13bo2b2o8bobobobo2bo$2obo2b2o2bo7b2obobobob3obo3b2o3b<br /> o2b2o3b2o3b2ob2o2b3o2b2o4b2ob4o3b3ob2o2b2obo3b5o8b2o18b3o2b2o6b2obob3o<br /> 2b3o3b2obo2b2o3bobo4b2obo3bo5bo3bobobobobo2b2o8bobo8bo2b2o2bob2o$o2bob<br /> obobo9bobo4bob4o2bobo2bob2obobobo4bo2bobob2ob4obo3bob2o9bo4bo3b2o9b2o<br /> 22b2o9b2o3bo4bo9b2obo3bob4ob2obobo2bo4bobobob2obo2bobo2b4obo4bobo9bo5b<br /> o$2b2obobob3obo5bobo8b2o2bobobobobo3bo5bo3bob2o4bobo3b2o2bob2o3b3o2b3o<br /> bob2o6b2o2b3o18b2o8b5o3bob2o2b2ob3o3b4ob2o4b2o2b3o2b2ob2o3b2o3b2o2bo3b<br /> 2o3bob3obobobob2o8bo4b2o$6bobo4bo4b2o2bo13bo2b2obobobo4b2o2b2obo8b2o5b<br /> o2b2o5b2o3b2ob2o7b2o2bo18b3ob2o5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o<br /> 6bob2o11b4obo2bo4bo2bo3bo$8bob3o4bo2b2o12bobo4bob2obobo9bobo9b4o6b4o3b<br /> o8b2o3bobobo12b2o4b3ob2ob2o5bobobob2o4bo2bo5bo4b2o7bo5b2o2bo2b3o6bo3bo<br /> 6bo4b2o4b2o4bo2bo3bo$7b2obo6b2o15b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob3o<br /> 5bo3bob2o14bo4b3ob2ob2o5bobobob2o4bo2bo5bo4b2o7bo5b2o2bo2b3o6bo3bo6bo<br /> 4b2o4b2o7bo4b2o$40b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo15b3o4b3o<br /> b2o5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o6bob2o11b4obo2bo7bo5bo$46b2o<br /> 3b2o2bobo5bo10b3o5b2o3bobo4bobobob2o23b2o8b5o3bob2o2b2ob3o3b4ob2o4b2o<br /> 2b3o2b2ob2o3b2o3b2o2bo3b2o3bob3obobobob2o7bo2b2o2bob2o$51b2o2b2o6b2o<br /> 11bo11bo5bo3bo30b2o9b2o3bo4bo9b2obo3bob4ob2obobo2bo4bobobob2obo2bobo2b<br /> 4obo4bobo9bobobobo2bo$93b2o2b2o30b3o2b2o6b2obob3o2b3o3b2obo2b2o3bobo4b<br /> 2obo3bo5bo3bobobobobo2b2o8bobo5bob3obobob2o$123bo6bo2b2o7b2ob2o3b2o5b<br /> 2o2bo5b2o8bob2o2b2o4bobobob2o2bo13bo2b2o4bo4bobo$122bobo5bobobo3b2o8bo<br /> 3b4o6b4o9bobo9bobob2obo4bobo12b2o2bo4b3obo$115b2o2b3obo7b2obo3bo5b3ob<br /> 2obo4b6o3bobobo5b2ob9obobo3bo5b2o15b2o6bob2o$115b2o3b2ob2o9bobobobo5bo<br /> 2bobobo2bo5bo3b2ob3o6bo9bobo3b2o$122bo2bo8b2obobobo4bobo3b2o5b3o10bo5b<br /> obo2b2o3b2o$121b4o12bo3bo5bo11bo11b2o6b2o2b2o$137b2o2b2o$121b4o$122bo<br /> 2bo$115b2o3b2ob2o$115b2o2b3obo$122bobo$123bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = p21 R-pentomino hassler, requiring 690P7s.<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 9bobo16bobo$9b2obo14bob2o$12bo2b2o6b2o2bo$9b2obobobo6bobobob2o$9bo2bo<br /> 2bo8bo2bo2bo$11bo16bo$13bo12bo$11b3o5b2o5b3o$18bo2bo$15b2obo2bob2o$7b<br /> 2o6b2obo2bob2o$2o6b3o7bo2bo$o5bo4bo7b2o$b3obob3obo$3bobobo$4b2o2bo20b<br /> 2o$7bo19b3o6b2o$2bo4bo18bo4bo5bo$bobo3bo2bo15bob3obob3o$bobo3bo2bo6b3o<br /> 10bobobo$2bo4bo9bobo9bo2b2o$7bo9bo2bo9bo$4b2o2bo9bobo9bo4bo$3bobobo10b<br /> 3o6bo2bo3bobo$b3obob3obo15bo2bo3bobo$o5bo4bo18bo4bo$2o6b3o19bo$7b2o20b<br /> o2b2o$30bobobo$26bob3obob3o$17b2o7bo4bo5bo$16bo2bo7b3o6b2o$13b2obo2bob<br /> 2o6b2o$13b2obo2bob2o$16bo2bo$9b3o5b2o5b3o$11bo12bo$9bo16bo$7bo2bo2bo8b<br /> o2bo2bo$7b2obobobo6bobobob2o$10bo2b2o6b2o2bo$7b2obo14bob2o$7bobo16bobo<br /> !<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = p21 LoM hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 66b2o$66bobo9b2o5b2o$21b2o44bo10b2o5b2o$2b2o5b2o9bobo$2b2o5b2o10bo57bo<br /> 5bo$70bo8b2o3b2o$3bo5bo58b2o9bobobobo$3b2o3b2o8bo52b2o8bobo$3bobobobo<br /> 9b2o49bo10bobo$5bobo8b2o53bo4b2obobobobob2o$5bobo10bo37b2o3b2o6b4o4bo<br /> 3bobo3bo$2obobobobob2o4bo36bo3bobo3bo4b4o6b2o3b2o$bo3bobo3bo4b4o6b2o3b<br /> 2o20b2obobobobob2o4bo$3b2o3b2o6b4o4bo3bobo3bo23bobo10bo$18bo4b2obobobo<br /> bob2o22bobo8b2o$17bo10bobo25bobobobo9b2o6b2o$18b2o8bobo25b2o3b2o8bo8bo<br /> $15b2o9bobobobo23bo5bo15bobo$17bo8b2o3b2o45b2o$26bo5bo22b2o5b2o6bo3bo$<br /> 55b2o5b2o4b2o5bo$14bo10b2o5b2o35b2o4b2o$13bobo9b2o5b2o40b2o$13b2o57bo<br /> 2bo2bo$64bo7b2obobobob2o$63bo11bobob2obo$63b3o9b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = [[p21 B-heptomino hassler|p21 pi factory]] and related gun (gun co-discovered with Tanner Jacobi).&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 17bobo$14bo2b2obo$14b3o3bo$18b2ob2obo$16b2obobob2o$16bo$17b2obo$14b3o<br /> 3bo23bobo$14bo2b2o24bob2o2bo$15bobo25bo3b3o$14b2obob2ob2ob2o12bob2ob2o<br /> $14bo2bo3bobob2o12b2obobob2o$15b2o4bobo23bo$17b5ob4o16bob2o$17bo4bo4bo<br /> 15bo3b3o$18b3obob3o18b2o2bo$14bo5b2ob2o4b2o15bobo$10b2obobo13b2o6b2ob<br /> 2ob2obob2o$10b2obobo21b2obobo3bo2bo$3b2o8bob2o6bobo14bobo4b2o$4bo5b4o<br /> 3bo4bo14b4ob5o$3bo5bo4bob2o4bo3bo9bo4bo4bo5b2ob2o4b2o$3b2o4b2ob2o3bo4b<br /> o3bob3o6b3obob3o5bob2obo4bo$b2o3bo2b2o4b2o5bo5bobo8b2ob2o7bo4bob2obo$o<br /> 2bob2o2b3obobo7bobo2b3o18b2ob4obobo2b2o$bobo2bobo2bo3bo32bo3bo2bobo2bo<br /> bo$2o2bobob4ob2o18b3o2bobo7bobob3o2b2obo2bo$2bob2obo4bo7b2ob2o8bobo5bo<br /> 5b2o4b2o2bo3b2o$2bo4bob2obo5b3obob3o6b3obo3bo4bo3b2ob2o4b2o$b2o4b2ob2o<br /> 5bo4bo4bo9bo3bo4b2obo4bo5bo$17b5ob4o14bo4bo3b4o5bo$15b2o4bobo14bobo6b<br /> 2obo8b2o$14bo2bo3bobob2o21bobob2o$14b2obob2ob2ob2o6b2o13bobob2o$15bobo<br /> 15b2o4b2ob2o5bo$14bo2b2o18b3obob3o$14b3o3bo15bo4bo4bo$17b2obo16b4ob5o$<br /> 16bo23bobo4b2o$16b2obobob2o12b2obobo3bo2bo$18b2ob2obo12b2ob2ob2obob2o$<br /> 14b3o3bo25bobo$14bo2b2obo24b2o2bo$17bobo23bo3b3o$43bob2o$47bo$39b2obob<br /> ob2o$39bob2ob2o$43bo3b3o$43bob2o2bo$44bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 11 ]]<br /> |caption = p21 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 61b2o$62bo$62bobo13b3o$58b2o3b2o3bo8bo3bo$58b2o7bob2o6bo4bo$66bo4bo6b<br /> 2obo$67bo3bo8bo3b2o$53b2o3b3o7b3o13bobo$53b2o3bobo25bo$58b3o25b2o4$58b<br /> 2o$44b2o12b2o$44b2o12b2o3$39b2o6b3o2b3o$39b2o6bobo2bobo6b2o$47b3o2b3o<br /> 6b2o3$42b2o12b2o$42b2o12b2o$30b2o10b2o$30b2o3$25b2o3b3o8b3o$25b2o3bobo<br /> 8bobo3b2o$30b3o8b3o3b2o3$42b2o$30b2o10b2o$30b2o$30b2o2$19b2o$2o15b2o2b<br /> o2b3o$bo7bo7bo3bo2bobo6b2o$bobo3b2ob2o4bo4bo2b3o6b2o$2b2o10bob3obo$7b<br /> 2o5bo3bobo$6bobo3bo5b2o8b2o$6bob3obo10b2o3b2o$5bo4bo4b2ob2o3bobo$5bo3b<br /> o7bo7bo$5bo2b2o15b2o$6b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p22 traffic light hassler, co-discovered with Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 25b2o$17bo7bo$7b2o14bobo$6bo2b2o12b2o$6b2ob2o7b3o$6b3o7b2ob2o$2b2o12b<br /> 2o2bo$bobo14b2o$bo7bo$2o5$22b2o$22bobo$24bo$14b2o6b3o10b2o$13bobo19bo$<br /> 13bo19bobo$12b2o10b3o6b2o$24bo$24bobo$25b2o5$47b2o$39bo7bo$29b2o14bobo<br /> $28bo2b2o12b2o$28b2ob2o7b3o$28b3o7b2ob2o$24b2o12b2o2bo$23bobo14b2o$23b<br /> o7bo$22b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p22 B-heptomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 22b2o4b2o$22b2o5bo$28bo$22b4o2b2o$21bo2bobobo2bo$21b2o3bo3b2o$19b2o3b<br /> 3o26bo$18bo2b5o8b2o17b2o$18b2obo13bo17b3o$21bob2o10bobo5bo6b2o$21bob2o<br /> 11b2o4b3o5b3o$22bo18bo2bo5b3o$42b3o5bo2bo$19bo6b3o13b3o5b3o4b2o$2o17b<br /> 2o5bobo14b2o6bo5bobo$bo17b3o4b3o3b3o4b3o17bo$bobo5bo6b2o14bobo5b2o17b<br /> 2o$2b2o4b3o5b3o13b3o6bo$7bo2bo5b3o$8b3o5bo2bo18bo$8b3o5b3o4b2o11b2obo$<br /> 9b2o6bo5bobo10b2obo$5b3o17bo13bob2o$6b2o17b2o8b5o2bo$7bo26b3o3b2o$29b<br /> 2o3bo3b2o$29bo2bobobo2bo$31b2o2b4o$32bo$31bo5b2o$31b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p22 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 25b2o7b2o$6b2o17bo2b2ob2o2bo$5bobo18b2obobob2o$5bo21bo5bo$ob2ob2o4b2o<br /> 14bo5bo$2ob2o5bobo9b2o4b5o$5bo4bo10b2o6b3o$5bo2bo3bo12bo3bobo$5b2obobo<br /> 13b2o3b3o$5bo4bo3bo9bo4b3o$4b3o4bo3bobo12bo$5bo4bo6bo$5b2obobo3b2obo<br /> 39b2o$5bo2bo3bo44bobo$5bo4bo7bobo38bo$2ob2o5bobo5bo2bo30b2o4b2ob2obo$o<br /> b2ob2o4b2o4bo3bo6b3o10b2o9bobo5b2ob2o$5bo10b2o3bo5bo3bo10b2o10bo4bo$5b<br /> o10b2o3bo4bo5bo6bo12bo3bo2bo$ob2ob2o4b2o4bo3bo4bo5bo6b2o13bobob2o$2ob<br /> 2o5bobo5bo2bo4bo5bo7bo9bo3bo4bo$5bo4bo7bobo6bo3bo15bobo3bo4b3o$5bo2bo<br /> 3bo15b3o16bo6bo4bo$5b2obobo3b2obo29bob2o3bobob2o$5bo4bo6bo16b3o15bo3bo<br /> 2bo$4b3o4bo3bobo15bo3bo6bobo7bo4bo$5bo4bo3bo9bo7bo5bo4bo2bo5bobo5b2ob<br /> 2o$5b2obobo13b2o6bo5bo4bo3bo4b2o4b2ob2obo$5bo2bo3bo12bo6bo5bo4bo3b2o<br /> 10bo$5bo4bo10b2o10bo3bo5bo3b2o10bo$2ob2o5bobo9b2o10b3o6bo3bo4b2o4b2ob<br /> 2obo$ob2ob2o4b2o30bo2bo5bobo5b2ob2o$5bo38bobo7bo4bo$5bobo44bo3bo2bo$6b<br /> 2o39bob2o3bobob2o$47bo6bo4bo$34bo12bobo3bo4b3o$33b3o4bo9bo3bo4bo$33b3o<br /> 3b2o13bobob2o$33bobo3bo12bo3bo2bo$33b3o6b2o10bo4bo$32b5o4b2o9bobo5b2ob<br /> 2o$31bo5bo14b2o4b2ob2obo$31bo5bo21bo$30b2obobob2o18bobo$29bo2b2ob2o2bo<br /> 17b2o$29b2o7b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 honey farm hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 23b3o$23b3o$23b3o$20b3o$20b3o$20b3o$3o$3o$3o$3b3o$3b3o$3b3o12b3o$12bob<br /> o3bobo$12bobo3bobo$12b3o12b3o$27b3o$27b3o$30b3o$30b3o$30b3o$10b3o$10b<br /> 3o$10b3o$7b3o$7b3o$7b3o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 pi-heptomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 57b3o$2b2o24b2o15b2o14bo$o2bo24bo2bo11bo2bo9bo4bo$60bo$57b2o$2obo24bob<br /> 2o11b2obo10bo$2bobo2b2o14b2o2bobo15bobo2b2o5bo$3bo4bo14bo4bo17bo4bo5bo<br /> $4bo22bo19bo13b2o$4bo2bo16bo2bo19bo2bo$12b3o2b3o35b3obo3bo$12bobo2bobo<br /> 35bobobo4bo$12b3o2b3o35b3o3bobobo$62bobobo$63bo4bo$64bo3bo2$8b2o12b2o<br /> 27b2o12b2o$6bob2o12b2obo23bob2o$5bo20bo21bo$8bo14bo27bo$4b2obo16bob2o<br /> 19b2obo$4b2o20b2o19b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 traffic light hassler; monomer form by Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 16b2o$16b2o2$16bo$16b3o$16bo2bo$17bobo$17bob2o$16b2o3bo$32b2o$21bobo8b<br /> 2o$7b2o13bo$6bo2bo20b4o$5bobobo19bo4bo$5bobob2o5b2o10bob5o$3b2obo3bo4b<br /> o2bo9bo6b2o$3bo2bob2o5bo2bo8b2obobobo2bo$2obobobo2bo5b2o2b2o5bo2bobobo<br /> b2o$o2bobobob2o8bo2bo5b2obo2bo$b2o6bo9bo2bo4bo3bob2o$3b5obo10b2o5b2obo<br /> bo$3bo4bo19bobobo$4b4o20bo2bo$15bo13b2o$4b2o8bobo$4b2o$16bo3b2o$17b2ob<br /> o$18bobo$18bo2bo$19b3o$21bo2$20b2o$20b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 pond hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 58b2o$58bobo$44b2o14bo$43bo2bo6b2o4b2ob2obo$41bo2bobo6bobo3bo2bob2o$<br /> 45bo10bo3bo$41bob2o9bo3bob2o$6b2o34bo11bo3b4o$5bobo23b2o14bo6b3obo$5bo<br /> 14b2o9bo13bo2bo5b2o3bobo$ob2ob2o4b2o6bo2bo9b3o8b3ob3o4b3obo$2obo2bo3bo<br /> bo6bobo2bo2b2o5bo9bobobo5bo3b4o$5bo3bo10bo7bo16b3o6bo3bob2o$4b2obo3bo<br /> 9b2obo3bobo15bo9bo3bo$4b4o3bo11bo5b2o4b2o16bobo3bo2bob2o$7bob3o6bo15bo<br /> bo11bo4b2o4b2ob2obo$4bobo3b2o5bo2bo13bobo10bobo10bo$7bob3o4b3ob3o11b2o<br /> 11bobo10bo$4b4o3bo5bobobo26bo4b2o4b2ob2obo$4b2obo3bo6b3o32bobo3bo2bob<br /> 2o$5bo3bo9bo26bo9bo3bo$2obo2bo3bobo32b3o6bo3bob2o$ob2ob2o4b2o4bo26bobo<br /> bo5bo3b4o$5bo10bobo11b2o11b3ob3o4b3obo$5bo10bobo10bobo13bo2bo5b2o3bobo<br /> $ob2ob2o4b2o4bo11bobo15bo6b3obo$2obo2bo3bobo16b2o4b2o5bo11bo3b4o$5bo3b<br /> o9bo15bobo3bob2o9bo3bob2o$4b2obo3bo6b3o16bo7bo10bo3bo$4b4o3bo5bobobo9b<br /> o5b2o2bo2bobo6bobo3bo2bob2o$7bob3o4b3ob3o8b3o9bo2bo6b2o4b2ob2obo$4bobo<br /> 3b2o5bo2bo13bo9b2o14bo$7bob3o6bo14b2o23bobo$4b4o3bo11bo34b2o$4b2obo3bo<br /> 9b2obo$5bo3bo10bo$2obo2bo3bobo6bobo2bo$ob2ob2o4b2o6bo2bo$5bo14b2o$5bob<br /> o$6b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 LOM hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 35b2o2b2o$33bo2bo2bo2bo$33b2o2b2o2b2o$35b2o2b2o$33b2ob4ob2o$32bo10bo$<br /> 32bobo2b2o2bobo$36bo2bo$33b4o2b4o$32bo4b2o4bo$34b2o4b2o$31b2obob4obob<br /> 2o$31b2o3bo2bo3b2o$32bob2o4b2obo$31b4obo2bob4o$31bo4bo2bo4bo$30b2obo2b<br /> o2bo2bob2o$32bo10bo$32bo10bo$32b2o8b2o$17b2o13bobo6bobo$6bo2bo2bo3bo2b<br /> ob2o13b4o$6b7o2bob3obo11bob6obo$2o13bo6b3o9b8o$bo2b11ob6o2bo$bobo8bo3b<br /> o5bo$2obob2o2b3o3bob2o2bo8b2o$o5bobobo7bo2bo6b4o$b2ob2ob3o9bo6bobob2o$<br /> 2bobo2b3o12b2obo2bob2o8bo$2bobo2b3o12b2obo2bob2o6b2o$b2ob2ob3o9bo6bobo<br /> b2o6bo2b2o$o5bobobo7bo2bo6b4o5bo$2obob2o2b3o3bob2o2bo8b2o4b2o$bobo8bo<br /> 3bo5bo$bo2b11ob6o2bo$2o13bo6b3o$6b7o2bob3obo$6bo2bo2bo3bo2bob2o14b8o$<br /> 17b2o16b3ob4ob3o$34bo12bo$35b7o2b2obo$45b2o$37bob5o$36bobo5b3o$36bobo<br /> 3b2o3bo$35b2ob2obobob2o$42bo2bo$43bobo$41bobob2o$41b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 beehive hassler and pipsquirter, optimized for clearance&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 38b2o4bo4b2o$37bo2bobo3bobo2bo$37b3o9b3o11b2o$40b2o5b2o10b2obo2bo3bo2b<br /> o2bo$39bo2b5o2bo10bob3obo2b7o$17b2o20b2o7b2o7b3o6bo13b2o$6bo2bo2bo3bo<br /> 2bob2o34bo2b6ob11o2bo$6b7o2bob3obo37bo5bo3bo8bobo$2o13bo6b3o25b2o8bo2b<br /> 2obo3b3o2b2obob2o$bo2b11ob6o2bo25b4o6bo2bo7bobobo5bo$bobo8bo3bo5bo20b<br /> 2o5b2obobo6bo9b3ob2ob2o$2obob2o2b3o3bob2o2bo8b2o10bo2bo4b2obo2bob2o12b<br /> 3o2bobo$o5bobobo7bo2bo6b4o11b2o5b2obo2bob2o12b3o2bobo$b2ob2ob3o9bo6bob<br /> ob2o18b2obobo6bo9b3ob2ob2o$2bobo2b3o12b2obo2bob2o5b2o11b4o6bo2bo7bobob<br /> o5bo$2bobo2b3o12b2obo2bob2o4bo2bo10b2o8bo2b2obo3b3o2b2obob2o$b2ob2ob3o<br /> 9bo6bobob2o5b2o20bo5bo3bo8bobo$o5bobobo7bo2bo6b4o25bo2b6ob11o2bo$2obob<br /> 2o2b3o3bob2o2bo8b2o25b3o6bo13b2o$bobo8bo3bo5bo37bob3obo2b7o$bo2b11ob6o<br /> 2bo34b2obo2bo3bo2bo2bo$2o13bo6b3o7b2o7b2o20b2o$6b7o2bob3obo10bo2b5o2bo<br /> $6bo2bo2bo3bo2bob2o10b2o5b2o$17b2o11b3o9b3o$30bo2bobo3bobo2bo$31b2o4bo<br /> 4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 beehive hassler, unrelated to the other one&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> x = 61, y = 43, rule = B3/S23<br /> 29bo$28b3o$26b2o3bo$26b3o2b2o$31bobo$23b2o2b4ob3o$23b2obo4bo3bo$22bobo<br /> bob2obo3b2o$21b2o3bob2obobobo$22bo3bo4bob2o$23b3ob4o2b2o$2bo9bo3b2o6bo<br /> bo$bobo7bobobo2bo6b2o2b3o$bob3obo3bobob3o2b2o4bo3b2o$2bo3b4obobo4b2obo<br /> 5b3o13b2o3bo9bo$4bo5bobob3o2bo8bo13bo2bobobo7bobo$3b5o2bobo4bob2o18b2o<br /> 2b3obobo3bob3obo$2bo5bobob3obobo20bob2o4bobob4o3bo$o2b4obobo6bo2bo5b2o<br /> 13bo2b3obobo5bo$2obobo2bo9bobo5b2o12b2obo4bobo2b5o$bobobo2bo9bobo4bo9b<br /> o6bobob3obobo5bo$bob4obobo6bo2bo4bo9bo4bo2bo6bobob4obo$2bo5bobob3obobo<br /> 6bo9bo4bobo9bo2bobobo$3b5o2bobo4bob2o12b2o5bobo9bo2bobob2o$4bo5bobob3o<br /> 2bo13b2o5bo2bo6bobob4o2bo$2bo3b4obobo4b2obo20bobob3obobo5bo$bob3obo3bo<br /> bob3o2b2o18b2obo4bobo2b5o$bobo7bobobo2bo13bo8bo2b3obobo5bo$2bo9bo3b2o<br /> 13b3o5bob2o4bobob4o3bo$29b2o3bo4b2o2b3obobo3bob3obo$29b3o2b2o6bo2bobob<br /> o7bobo$34bobo6b2o3bo9bo$26b2o2b4ob3o$26b2obo4bo3bo$25bobobob2obo3b2o$<br /> 24b2o3bob2obobobo$25bo3bo4bob2o$26b3ob4o2b2o$27bobo$28b2o2b3o$29bo3b2o<br /> $30b3o$31bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 12 ]]<br /> |caption = p24 [[blonk-tie]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p25honeyfarmhassler2<br /> |position = left<br /> |viewerconfig = #C [[ GPS 13 ]]<br /> |caption = A p25 honey farm hassler different from the ones already known. Reduction by [[JP21]].&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 16b2o3b2o$16b2o3b2o$16b2o3b2o$16b2o3b2o$12b2o3b2ob2o3b2o$12bo2bobo3bob<br /> o2bo$b2o10bob2o5b2obo$2bo11bo9bo$bo13b4ob4o$b2o6b2o6bobobo$3bo4bo2bo$b<br /> 4o13b3o$o$2o4bo3bobo25b2o$6b4obo26bo$18b2o19bo$10b2o6bobo9b2o6b2o$10b<br /> 2o3bo4bo8bo2bo4bo$15bo3b2o15b4o$6b4obo28bo$2o4bo3bobo15bobo3bo4b2o$o<br /> 28bob4o$b4o15b2o3bo$3bo4bo2bo8bo4bo3b2o$b2o6b2o9bobo6b2o$bo19b2o$2bo<br /> 26bob4o$b2o25bobo3bo4b2o$40bo$20b3o13b4o$29bo2bo4bo$19bobobo6b2o6b2o$<br /> 17b4ob4o13bo$16bo9bo11bo$15bob2o5b2obo10b2o$14bo2bobo3bobo2bo$14b2o3b<br /> 2ob2o3b2o$18b2o3b2o$18b2o3b2o$18b2o3b2o$18b2o3b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 13 ]]<br /> |caption = p25 bookend hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 16bo14bo$16b3o10b3o$19bo8bo$16b3obo6bob3o$13bobo2bobo6bobo2bobo$13b2ob<br /> 4ob2o2b2ob4ob2o$16bo2bobo4bobo2bo$16bobo2bo4bo2bobo$17bo3b2o2b2o3bo$<br /> 15bobob2o6b2obobo$15b2obobob4obobob2o$18bobobo2bobobo$18bob2o4b2obo$<br /> 16b2o12b2o$17bobob2o2b2obobo$14b3o2bo8bo2b3o$13bo3b2o10b2o3bo$14b3o2b<br /> 3o4b3o2b3o13b2o$4b2o10bobo2bob2obo2bobo15bo3b2o$2o3bo12b2o8b2o12bo5bo<br /> 2bo$bo2bo5bo5bo2bobob2obobo2bo9bobob3obobo$bobob3obobo4b2o2b8o2b2o9bob<br /> obo3bob2o$2obo3bobobo23b2o3b2obo2bob2obo$bob2obo2bob2o3b2o17bobo2bo2b<br /> 5obobo$bobob5o2bo2bobo19bo4bo8b2o$2o8bo4bo20b3o2bob2o4bobo$bobo4b2obo<br /> 2b3o19bo2bo2b2obobobobo$bobobobob2o2bo2bo18bo2bobo3bo5bo$2bo5bo3bobo2b<br /> o5b2o10bo4b4o2b4o$3b4o2b4o4bo4bo2bob3o5bo8b2o$7b2o8bo5b3obo2bo4bo4b4o<br /> 2b4o$3b4o2b4o4bo10b2o5bo2bobo3bo5bo$2bo5bo3bobo2bo18bo2bo2b2obobobobo$<br /> bobobobob2o2bo2bo19b3o2bob2o4bobo$bobo4b2obo2b3o20bo4bo8b2o$2o8bo4bo<br /> 19bobo2bo2b5obobo$bobob5o2bo2bobo17b2o3b2obo2bob2obo$bob2obo2bob2o3b2o<br /> 23bobobo3bob2o$2obo3bobobo9b2o2b8o2b2o4bobob3obobo$bobob3obobo9bo2bobo<br /> b2obobo2bo5bo5bo2bo$bo2bo5bo12b2o8b2o12bo3b2o$2o3bo15bobo2bob2obo2bobo<br /> 10b2o$4b2o13b3o2b3o4b3o2b3o$18bo3b2o10b2o3bo$19b3o2bo8bo2b3o$22bobob2o<br /> 2b2obobo$21b2o12b2o$23bob2o4b2obo$23bobobo2bobobo$20b2obobob4obobob2o$<br /> 20bobob2o6b2obobo$22bo3b2o2b2o3bo$21bobo2bo4bo2bobo$21bo2bobo4bobo2bo$<br /> 18b2ob4ob2o2b2ob4ob2o$18bobo2bobo6bobo2bobo$21b3obo6bob3o$24bo8bo$21b<br /> 3o10b3o$21bo14bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 13 ]]<br /> |caption = p25 bun hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 41b2o$41bobo$38b2obobo$34b2obobob2ob2o$35bobo4bo2bo$34bo2bob6o$34bobo 2b2o$33b2o2b2o3bob3o$32bo3bo5bobo2bo$32bob2obo6bob2o$31b2o2bobo3b2obob o13bo$33b2o2bob2o5bo12bobo$33bobob3o2b2obob2o10bobo$34b3ob2obobobobobo 8b2o2b2o$45bobobo2b2o6bobo$36bo2bo4b2obobobobo3bob2o2bo$38bo8bobobo5bo 3bobo$45b2obo2b2o5b3obo$35b3o7b3o3bobo2b2o2bo$37bo7b3o3bobo2b2o2bo$3bo 33bo7b2obo2b2o5b3obo$2bobo28bob2o10bobobo5bo3bobo$2bobo10bo3b2o11b2o 10b2obobobobo3bob2o2bo$2o2b2o8bobobobo24bobobo2b2o6bobo$bobo6b2o2bobob o24bobobobo8b2o2b2o$o2b2obo3bobobobob2o10b2o11b2o3bo10bobo$obo3bo5bobo bo10b2obo28bobo$bob3o5b2o2bob2o7bo33bo$3bo2b2o2bobo3b3o7bo$3bo2b2o2bob o3b3o7b3o$bob3o5b2o2bob2o$obo3bo5bobobo8bo$o2b2obo3bobobobob2o4bo2bo$b obo6b2o2bobobo$2o2b2o8bobobobobob2ob3o$2bobo10b2obob2o2b3obobo$2bobo 12bo5b2obo2b2o$3bo13bobob2o3bobo2b2o$16b2obo6bob2obo$16bo2bobo5bo3bo$ 17b3obo3b2o2b2o$23b2o2bobo$19b6obo2bo$18bo2bo4bobo$18b2ob2obobob2o$20b<br /> obob2o$20bobo$21b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p27 R-pentomino hassler, co-discovered with [[Dongook Lee]]&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 53b2o$53b2o4$55bo$54bobo$53b2obo$23bob2o4b2obo20bo$23b2o2bo2bo2b2o14b<br /> 2o7b3o$21b2o3bo4bo3b2o12b2o7b3o$20bo3b2ob4ob2o3bo11b2o$21b3obobo2bobob<br /> 3o$23bobobo2bobobo11b2o14bo5b2o$26bo4bo13bo2bo13b2o4b2o$27bo2bo9b2o4b<br /> 2o13bo2bo$27bo2bo9b2o5bo14b2o$13b2o$13b2o8b2o34b2o$24bo24b3o7b2o$24bob<br /> o22b3o7b2o$25b2o27bo$15bo14bo8bo13bob2o$14bobo13bobo4bobo13bobo$13b2ob<br /> o13bo8bo14bo$15bo27b2o$9b2o7b3o22bobo$9b2o7b3o24bo$9b2o34b2o8b2o$55b2o<br /> $6b2o14bo5b2o9bo2bo$5bo2bo13b2o4b2o9bo2bo$2o4b2o13bo2bo13bo4bo$2o5bo<br /> 14b2o11bobobo2bobobo$33b3obobo2bobob3o$19b2o11bo3b2ob4ob2o3bo$9b3o7b2o<br /> 12b2o3bo4bo3b2o$9b3o7b2o14b2o2bo2bo2b2o$14bo20bob2o4b2obo$13bob2o$13bo<br /> bo$14bo4$15b2o$15b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p27 traffic light hassler, using two [[56P27]]s&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 116bobo$111b2o2bob2o2bo$111bo3bo3b3o$112b3ob2o$114bo3b2o$116bo2bo$115b<br /> 4o$119b3o$109b2o6b2o2bo$110bo2b4obobo$110bobob3obob2o$93b2o2b2o10b2obo<br /> 3b3o2bo$51b2o2b2o6b2o11bo11bo5bo3bo13bobo4b2o$7b2obo35b2o3b2o2bobo5bo<br /> 10b3o5b2o3bobo4bobobob2o7b4obobobo$8bob3o27b2o3bobo9bo6b3ob2o3bo5bo2bo<br /> bobo2bo5bobobobo6bo4bo4bo17b2o2b2o$6bobo4bo3b2o15b2o5bo3bobob9ob2o5bob<br /> obo3b6o4bob2ob3o5bo3bob2o4b3o3b3o18bo3bo5bo11bo11b2o6b2o2b2o$2b2obobob<br /> 3obo3bo2b2o12bobo4bob2obobo9bobo9b4o6b4o3bo8b2o3bobobo5bobobo17b2obobo<br /> bo4bobo3b2o5b3o10bo5bobo2b2o3b2o35bob2o$o2bobobobo8b2o2bo13bo2b2obobob<br /> o4b2o2b2obo8b2o5bo2b2o5b2o3b2ob2o7b2o2bo6b3o18bobobobo5bo2bobobo2bo5bo<br /> 3b2ob3o6bo9bobo3b2o27b3obo$2obo2b2o2bo8bobo8b2o2bobobobobo3bo5bo3bob2o<br /> 4bobo3b2o2bob2o3b3o2b3obob2o6b2o2b3o23b2obo3bo5b3ob2obo4b6o3bobobo5b2o<br /> b9obobo3bo5b2o15b2o3bo4bobo$3bo5bo9bobo4bob4o2bobo2bob2obobobo4bo2bobo<br /> b2ob4obo3bob2o9bo4bo3b2o9b2o22bobobo3b2o8bo3b4o6b4o9bobo9bobob2obo4bob<br /> o12b2o2bo3bob3obobob2o$3b2o4bo8b2obobobob3obo3b2o3bo2b2o3b2o3b2ob2o2b<br /> 3o2b2o4b2ob4o3b3ob2o2b2obo3b5o8b2o18bo2b2o7b2ob2o3b2o5b2o2bo5b2o8bob2o<br /> 2b2o4bobobob2o2bo13bo2b2o8bobobobo2bo$5bo3bo2bo4bo2bob4o11b2obo6b3o2b<br /> 2o3bobo8b2o2bo4bobobobo8bo3b2ob2o5b2ob3o16b3o2b2o6b2obob3o2b3o3b2obo2b<br /> 2o3bobo4b2obo3bo5bo3bobobobobo2b2o8bobo8bo2b2o2bob2o$5bo3bo2bo4b2o4b2o<br /> 4bo6bo3bo6b3o2bo2b2o5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o3b2o11b2o9b2o<br /> 3bo4bo9b2obo3bob4ob2obobo2bo4bobobob2obo2bobo2b4obo4bobo9bo5bo$3b2o4bo<br /> 7b2o4b2o4bo6bo3bo6b3o2bo2b2o5bo7b2o4bo5bo2bo4b2obobobo5b2ob2ob3o3bobo<br /> 6b2o8b5o3bob2o2b2ob3o3b4ob2o4b2o2b3o2b2ob2o3b2o3b2o2bo3b2o3bob3obobobo<br /> b2o8bo4b2o$3bo5bo7bo2bob4o11b2obo6b3o2b2o3bobo8b2o2bo4bobobobo8bo3b2ob<br /> 2o5b2ob3o2bo2bo5b3ob2o5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o6bob2o11b<br /> 4obo2bo4bo2bo3bo$2obo2b2o2bo7b2obobobob3obo3b2o3bo2b2o3b2o3b2ob2o2b3o<br /> 2b2o4b2ob4o3b3ob2o2b2obo3b5o8b2o4b2o6b3ob2ob2o5bobobob2o4bo2bo5bo4b2o<br /> 7bo5b2o2bo2b3o6bo3bo6bo4b2o4b2o4bo2bo3bo$o2bobobobo9bobo4bob4o2bobo2bo<br /> b2obobobo4bo2bobob2ob4obo3bob2o9bo4bo3b2o9b2o8bo7b3ob2ob2o5bobobob2o4b<br /> o2bo5bo4b2o7bo5b2o2bo2b3o6bo3bo6bo4b2o4b2o7bo4b2o$2b2obobob3obo5bobo8b<br /> 2o2bobobobobo3bo5bo3bob2o4bobo3b2o2bob2o3b3o2b3obob2o6b2o2b3o16b3ob2o<br /> 5b2ob2o3bo8bobobobo4bo2b2o8bobo3b2o2b3o6bob2o11b4obo2bo7bo5bo$6bobo4bo<br /> 4b2o2bo13bo2b2obobobo4b2o2b2obo8b2o5bo2b2o5b2o3b2ob2o7b2o2bo18b2o8b5o<br /> 3bob2o2b2ob3o3b4ob2o4b2o2b3o2b2ob2o3b2o3b2o2bo3b2o3bob3obobobob2o7bo2b<br /> 2o2bob2o$8bob3o4bo2b2o12bobo4bob2obobo9bobo9b4o6b4o3bo8b2o3bobobo22b2o<br /> 9b2o3bo4bo9b2obo3bob4ob2obobo2bo4bobobob2obo2bobo2b4obo4bobo9bobobobo<br /> 2bo$7b2obo6b2o15b2o5bo3bobob9ob2o5bobobo3b6o4bob2ob3o5bo3bob2o23b3o2b<br /> 2o6b2obob3o2b3o3b2obo2b2o3bobo4b2obo3bo5bo3bobobobobo2b2o8bobo5bob3obo<br /> bob2o$40b2o3bobo9bo6b3ob2o3bo5bo2bobobo2bo5bobobobo18b3o6bo2b2o7b2ob2o<br /> 3b2o5b2o2bo5b2o8bob2o2b2o4bobobob2o2bo13bo2b2o4bo4bobo$46b2o3b2o2bobo<br /> 5bo10b3o5b2o3bobo4bobobob2o17bobobo5bobobo3b2o8bo3b4o6b4o9bobo9bobob2o<br /> bo4bobo12b2o2bo4b3obo$51b2o2b2o6b2o11bo11bo5bo3bo18b3o3b3o4b2obo3bo5b<br /> 3ob2obo4b6o3bobobo5b2ob9obobo3bo5b2o15b2o6bob2o$93b2o2b2o17bo4bo4bo6bo<br /> bobobo5bo2bobobo2bo5bo3b2ob3o6bo9bobo3b2o$116bobobob4o7b2obobobo4bobo<br /> 3b2o5b3o10bo5bobo2b2o3b2o$114b2o4bobo13bo3bo5bo11bo11b2o6b2o2b2o$113bo<br /> 2b3o3bob2o10b2o2b2o$113b2obob3obobo$114bobob4o2bo$113bo2b2o6b2o$113b3o<br /> $116b4o$115bo2bo$115b2o3bo$117b2ob3o$113b3o3bo3bo$113bo2b2obo2b2o$116b<br /> obo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p28 R-pentomino shuttle<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 28bobo16bobo$28b2obo14bob2o$31bo2b2o6b2o2bo$28b2obobobo6bobobob2o$28bo<br /> 2bo2bo8bo2bo2bo$30bo16bo$32bo12bo$30b3o5b2o5b3o$37bo2bo$34b2obo2bob2o<br /> 6b2o5bo7bo$34b2obo2bob2o6bo5bobo5bobo$37bo2bo7bobo5bobo5bobo$38b2o6b3o<br /> b3o2b2ob2o2b3ob3o$45bo23bo$46b5o13b5o$38bo10bo15bo$37bobo6b3o2b3o2b3o<br /> 2b3o2b3o$4bo7bo7bo16bo2bo5b3o2b3o7b3o2b3o$3bobo5bobo5bobo16bobo5b3o2b<br /> 3o7b3o2b3o$3bobo5bobo5bobo16b3o5b3o2b3o2b3o2b3o2b3o$b3ob3o2b2ob2o2b3ob<br /> 3o25bo15bo$o23bo21b5o13b5o$b5o13b5o21bo23bo$4bo15bo25b3ob3o2b2ob2o2b3o<br /> b3o$b3o2b3o2b3o2b3o2b3o5b3o16bobo5bobo5bobo$b3o2b3o7b3o2b3o5bobo16bobo<br /> 5bobo5bobo$b3o2b3o7b3o2b3o5bo2bo16bo7bo7bo$b3o2b3o2b3o2b3o2b3o6bobo$4b<br /> o15bo10bo$b5o13b5o$o23bo$b3ob3o2b2ob2o2b3ob3o6b2o$3bobo5bobo5bobo7bo2b<br /> o$3bobo5bobo5bo6b2obo2bob2o$4bo7bo5b2o6b2obo2bob2o$29bo2bo$22b3o5b2o5b<br /> 3o$24bo12bo$22bo16bo$20bo2bo2bo8bo2bo2bo$20b2obobobo6bobobob2o$23bo2b<br /> 2o6b2o2bo$20b2obo14bob2o$20bobo16bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p28 [[wing]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 11bo$11b3o$14bo$13bo$12bo4b4o$12bobo$13b2ob3o$16b2o3$15b3o$4bo11bo$2b<br /> 2obo10bo$bo$obo2bo$o2bo4b2o4b2o$b2o4b2obo3bobo$16bo$14b3o4$22b3o$22bo$<br /> 22bobo3bob2o4b2o$23b2o4b2o4bo2bo$33bo2bobo$37bo$33bob2o$20b3o11bo$17b<br /> 2o3bo$17b5o2$17b5o$17b2o3bo$20b3o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p28 B-heptomino hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 17b3o$27b2o$16bo2b2o2b2obo2bo$14bobo6b2ob2obo$15bo3bo7bobob2o$15bobo5b<br /> 4o2bobo$17bo5bo3bobo2bo$19bo5bo4b3o$20bo4b2ob2o$20bo5bo3bo$5bob2o4b2o<br /> 7bo4b3o$5b2obo5bo8b3obo$8bobo3bobo9bo5bo$3b5obobo3b2o2b2o9b3o5bo$2bo4b<br /> o3bo7b2o3b2o3bo8bobo$2bob3ob2ob2o16b2o5bo2bo$3b2obo2b2o2bo9bo17bo$6bob<br /> 7o7bobo11b2o4b2o$3b2obobo2b3o7bo3bo2b2o4bo4bo$3b2ob2o3b2o8bo3bo2b2o4bo<br /> 4bobo$21b2ob2o7bo$10bo20bo$2bobo4bo4b2o15bo4b2ob2o$4bo4bo4b2o13b2o4bob<br /> ob2o$2o4b2o20b3o6bo$2bo27bo3b2obob2o$4bo2bo5b2o16b2ob3o2bobo$3bobo8bo<br /> 8b2o7bobo6bo$5bo5b3o3b3o3b2o2b2o3bobob5o$11bo8bo6bobo3bobo$16bo12bo5bo<br /> b2o$14b3o3b2o7b2o4b2obo$13bo9bo$14b3o6bo$11b3o2bob2o4bo$11bo2bo5bo5bo$<br /> 12bobob5o5bobo$11b2obo9bo3bo$14bob2ob2o6bobo$14bo2bob2o2b2o2bo$15b2o$<br /> 24b3o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 14 ]]<br /> |caption = p28 gourmet, co-discovered with Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = p29honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p29 honey farm hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 17bo4bo$15b2ob4ob2o$17bo4bo5$2o17bo10b2o$o2b2o14bo7b2o2bo$b2obo13bobo<br /> 6bob2o$5bo6bo6bo6bo$5bo6bo6bo6bo$b2obo6bobo13bob2o$o2b2o7bo14b2o2bo$2o<br /> 10bo17b2o5$9bo4bo$7b2ob4ob2o$9bo4bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 traffic light hassler&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p30honeyfarmhassler3<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 honey whirlpool&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 26b2o4b2o$26bobo2bobo$28bo2bo$27bo4bo$27bo4bo$17bo9bo4bo6bo4b2o$17b3o<br /> 9b2o7bobo4bo$5bo5bo8bo16bo2bo2bo$4bobo3bobo6b2o16bob2obob4o$3bo2bo3bob<br /> o23b2obo2bobo3bo$3bobob2obob2o22bo2bob2ob2o2bo$4b2obob2o3bo22b3o2bo3bo<br /> b2o$12b2o7b3o3b3o7bo3bo4bo$4b2o2b3o3bo6bobo3bobo6bo3b3o2b2o$4bo4bo3bo<br /> 7b3o3b3o7b2o$b2obo3bo2b3o22bo3b2obob2o$2bo2b2ob2obo2bo22b2obob2obobo$<br /> 2bo3bobo2bob2o23bobo3bo2bo$3b4obob2obo16b2o6bobo3bobo$7bo2bo2bo16bo8bo<br /> 5bo$5bo4bobo7b2o9b3o$5b2o4bo6bo4bo9bo$18bo4bo$18bo4bo$19bo2bo$17bobo2b<br /> obo$17b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 pre-pulsar hassler, co-discovered with JP21&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 13bo2bob2obo2bo$13b4ob2ob4o$13bo2bob2obo2bo$30b3o2$29bo3bo$29bo3bo2$b<br /> 3o26b3o2$o3bo15b3o$o3bo8b2o5bobo7b3o$11bo2bo4bo2bo$b3o7bobo5b2o8bo3bo$<br /> 11b3o15bo3bo2$b3o26b3o2$o3bo$o3bo2$b3o$9bo2bob2obo2bo$9b4ob2ob4o$9bo2b<br /> ob2obo2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 century hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 3b2o12bobo2bobo$2bobo8b2obo2bo2bo2bob2o$b3o13bobo2bobo$b2o$2bobo$3bobo<br /> 2b2o$4bo2bobo7bo6bo$5b4o6bo2bo4bo2bo$6b2o7bo2bo4bo2bo$10b3o2bo2bo4bo2b<br /> o$10bobo4bo6bo$10b3o$17bo6bo$5b2o8bo2bo4bo2bo$5b2o8bo2bo4bo2bo$15bo2bo<br /> 4bo2bo$6bo10bo6bo$5bobo$2o2bo2bo$2obo$4b2o11bobo2bobo$13b2obo2bo2bo2bo<br /> b2o$17bobo2bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = p30 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = 2merzenichsp31hassling2rpentominoes‎<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = Two [[Merzenich's p31]] hassling two [[R-pentomino]]es&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 4b2o8b2o$4bo2bo5bo2bo$5b3o$8bo4bo2bo17bo$3b6obo2b2o17b3o$3bo4b4o19bo$<br /> 2obo2bo3bobobo16b2o$2ob5o7bo20b2o$11bo4bo19bo$5b3o5bob2o17bobo$4bo2bo<br /> 5bo2bo6b2o3b2o4b2o$4b2o8b2o6bobo3bobo$22bo7bo$22bobo3bobo6b2o8b2o$17b<br /> 2o4b2o3b2o6bo2bo5bo2bo$16bobo17b2obo5b3o$16bo19bo4bo$15b2o20bo7b5ob2o$<br /> 20b2o16bobobo3bo2bob2o$21bo19b4o4bo$18b3o17b2o2bob6o$18bo17bo2bo4bo$<br /> 45b3o$36bo2bo5bo2bo$37b2o8b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 pi-heptomino hassler, co-discovered with [[Matthias Merzenich]]&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 38b2o4bob2o4b2o$37bobo4b2obo4bobo$37bo16bo$34b2ob2o14b2ob2o$34b2obobo<br /> 12bobob2o$37bob14obo$14bob2o19bobob10obobo$14b2obo20bo5b4o5bo$3o14bob<br /> 2o8bo$3o7b2o5bo2bo3b2o2bobo$3o7bobob2ob2o5bo3bobo$3b3o6bobobo2b4obo2b<br /> 2o2b2o$3b3o4bobo2bo2bo3bobobo2bobo$3b3o3bo2bo2b2obobo3bob2obobo$9bob2o<br /> 4bo4bobo6b2o$10bo2bo6bobobob2ob2o2bo9b2o$11b9o5b4o3b3o7bobo$32b3o7bo$<br /> 11b9o5b4o3b3o7bobo$10bo2bo6bobobob2ob2o2bo9b2o$9bob2o4bo4bobo6b2o39b2o<br /> bo$3b3o3bo2bo2b2obobo3bob2obobo40bob2o$3b3o4bobo2bo2bo3bobobo2bobo28bo<br /> 8b2obo14b3o$3b3o6bobobo2b4obo2b2o2b2o26bobo2b2o3bo2bo5b2o7b3o$3o7bobob<br /> 2ob2o5bo3bobo28bobo3bo5b2ob2obobo7b3o$3o7b2o5bo2bo3b2o2bobo26b2o2b2o2b<br /> ob4o2bobobo6b3o$3o14bob2o8bo28bobo2bobobo3bo2bo2bobo4b3o$14b2obo40bobo<br /> b2obo3bobob2o2bo2bo3b3o$14bob2o39b2o6bobo4bo4b2obo$45b2o9bo2b2ob2obobo<br /> bo6bo2bo$45bobo7b3o3b4o5b9o$47bo7b3o$45bobo7b3o3b4o5b9o$45b2o9bo2b2ob<br /> 2obobobo6bo2bo$57b2o6bobo4bo4b2obo$58bobob2obo3bobob2o2bo2bo3b3o$58bob<br /> o2bobobo3bo2bo2bobo4b3o$57b2o2b2o2bob4o2bobobo6b3o$59bobo3bo5b2ob2obob<br /> o7b3o$59bobo2b2o3bo2bo5b2o7b3o$60bo8b2obo14b3o$36bo5b4o5bo20bob2o$35bo<br /> bob10obobo19b2obo$35bob14obo$32b2obobo12bobob2o$32b2ob2o14b2ob2o$35bo<br /> 16bo$35bobo4bob2o4bobo$36b2o4b2obo4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 pi-heptomino hassler, co-discovered with [[MathAndCode]]&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = p32honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = [[p32 honey farm hassler]]; monomer form found by [[praosylen]]&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = p32honeyfarmhassler2<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 glider gun #2, reduced by [[Dongook Lee]]&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 24bo10bo$23bobo2bo2bo2bobo$24b2o2b4o2b2o2$24b2ob2o2b2ob2o$25bob2o2b2ob<br /> o$24bo2bob2obo2bo$24bobo2b2o2bobo$3b2o3b2o13b2obo6bob2o$3b2o3b2o16bob<br /> 4obo$13b2o8b2obo6bob2o$13b2o3b2o4bobobo2bobobo$4b2o7bobo2b2o4bobobo2bo<br /> bobo$2b2obo3b2o3b2o9bo3b2o3bo$2b3o4b2o2$18b2o$5b2o6b2o3b2o$2o3b2o6b2o$<br /> 2o30b2o5b2o3b2o$30bo2bo5b2o3b2o$9b2o4b3o12b3o16b2o$4b2o3b2o3bob2o13bo<br /> 17b2o3b2o$2o2bobo7b2o24b2o7bobo2b2o$2o3b2o17bo13b2obo3b2o3b2o$5b2o16b<br /> 3o12b3o4b2o$10b2o3b2o5bo2bo$10b2o3b2o5b2o30b2o$41b2o6b2o3b2o$36b2o3b2o<br /> 6b2o$36b2o2$45b2o4b3o$21bo3b2o3bo9b2o3b2o3bob2o$20bobobo2bobobo4b2o2bo<br /> bo7b2o$20bobobo2bobobo4b2o3b2o$19b2obo6bob2o8b2o$22bob4obo16b2o3b2o$<br /> 19b2obo6bob2o13b2o3b2o$20bobo2b2o2bobo$20bo2bob2obo2bo$21bob2o2b2obo$<br /> 20b2ob2o2b2ob2o2$20b2o2b4o2b2o$19bobo2bo2bo2bobo$20bo10bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 century hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 6b2o4b2o8bo8bo$5bobo4b2o8bo5bobobo$5bo14bobo2bo4bobo$2b2obo4b6o2b3ob2o<br /> 3b2obob2o$2b2obo2bob8obo2b2ob2o2b2obo$5bobo2b8obobo3bo4bobo$5bobo12b2o<br /> bobo5bo$6bo15bo3bo$22bob2o$3bo19bobobo$2bobo21b2o$bo3bo12b2o$2bo3bo10b<br /> 2o$3bo3bo10bobo$4bo3bo10b2o6bo$5bobo18bobo$6bo6b2o10bo3bo$13bobo10bo3b<br /> o$15b2o10bo3bo$14b2o12bo3bo$6b2o21bobo$6bobobo19bo$8b2obo$7bo3bo15bo$<br /> 2bo5bobob2o12bobo$bobo4bo3bobob8o2bobo$bob2o2b2ob2o2bob8obo2bob2o$2obo<br /> b2o3b2ob3o2b6o4bob2o$bobo4bo2bobo14bo$bobobo5bo8b2o4bobo$2bo8bo8b2o4b<br /> 2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 century hassler, reduced by Matthias Merzenich<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 63b2obo$41b2o20bob2o12bo$40bo2bo7bo8b2obo14bobo$29b4o7bobobo5bobo2b2o<br /> 3bo2bo5b2o6bo3bo$17b2o9bo7b2o3bob3o4bobo3bo5b2ob2obobo5bo3bo$6bo2bo2bo<br /> 3bo2bob2o5bo3b2o2b2o5b3o2b2o2b2o2bob4o2bobobo6bo3bo$6b7o2bob3obo7bo2b<br /> 2o15bobo2bobobo3bo3bobo5bo3bo$2o13bo6b3o24bo2b3obo2bob2ob2ob2o2bo3bobo<br /> $bo2b11ob6o2bo23b2obo4bo4bob2o2b3obo4bo$bobo4bo5bobobo4bo22bo3b2o4bo2b<br /> obo3bo4bo$2obobo4b2o3bo3b2o28bob2o2bo5b9o$o5bo2bo2bo4b2o8b5obo11bo3bo$<br /> b2ob2o6bo5b2o3bob2o14bo7bob2o2bo5b9o$2bobo7bo8bo2bo9bo5bobo3bo3b2o4bo<br /> 2bobo3bo4bo$2bobo7bo8bo2bo9bo5bobo5b2obo4bo4bob2o2b3obo4bo$b2ob2o6bo5b<br /> 2o3bob2o14bo7bo2b3obo2bob2ob2ob2o2bo3bobo$o5bo2bo2bo4b2o8b5obo15bobo2b<br /> obobo3bo3bobo5bo3bo$2obobo4b2o3bo3b2o27b2o2b2o2bob4o2bobobo6bo3bo$bobo<br /> 4bo5bobobo4bo26bobo3bo5b2ob2obobo5bo3bo$bo2b11ob6o2bo25bobo2b2o3bo2bo<br /> 5b2o6bo3bo$2o13bo6b3o14bo4bo6bo8b2obo14bobo$6b7o2bob3obo16b8o17bob2o<br /> 12bo$6bo2bo2bo3bo2bob2o17bo2bo19b2obo$17b2o21bo2bo$40bo2bo$41b2o$41b2o<br /> $35b2o10b2o$35bo5b2o5bo$33bobo5b2o5bobo$33b2ob3o6b3ob2o$36bobo6bobo$<br /> 33b2obobo6bobob2o$32bobob3o6b3obobo$32bobobo3bo2bo3bobobo$33bo2bo10bo<br /> 2bo$34b2o2bo6bo2b2o$36b3o6b3o$36bo10bo$33b2obo10bob2o$34bobo2bob2obo2b<br /> obo$34bobobob4obobobo$33b2obob8obob2o$34bobo10bobo$34bobo10bobo$33b2ob<br /> 2o8b2ob2o$36bo2b2o2b2o2bo$36bobob4obobo$37b2o6b2o$40b4o$35b4obo2bob4o$<br /> 35bo2b2o4b2o2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 beehive hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 31bo2$29b3obo$28bob2o$28b2obo$26bob3o2$28bo6b2o$34bo2bo$33bo2bo$33bo6b<br /> o$5b2o25bo2bo3bobo$4bo2bo14b2o9b3o3b2o$5bo2bo14bobo$bo6bo14bobo7b3o3b<br /> 2o$obo3bo2bo6b2o6b2o6bo2bo3bobo$b2o3b3o7bobo14bo6bo$16bobo14bo2bo$b2o<br /> 3b3o9b2o14bo2bo$obo3bo2bo25b2o$bo6bo$5bo2bo$4bo2bo$5b2o6bo2$11b3obo$<br /> 10bob2o$10b2obo$8bob3o2$10bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 16 ]]<br /> |caption = p32 [[procrestinator]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 15bo$14bob3o$19bo2b2o$14b2o3bo2b2o$13bo4bo$14b4o2$14b4o$13bo4bo$2ob2o<br /> 9b2o3bo2b2o$bobo3bo11bo2b2o$o4bo2bo5bob3o$b7o7bo2$3b2o$2bo6b2o$2b2o4bo<br /> 2bo28b2ob2o$37bo3bobo$8bo2bo24bo2bo4bo$8bo2bo6b2o17b7o$8bo2bo5bo2bo$8b<br /> o2bo4b2ob2o19b2o$18bo15b2o6bo$2b2o4bo2bo21bo2bo4b2o$2bo6b2o15bo$3b2o<br /> 19b2ob2o4bo2bo$24bo2bo5bo2bo$b7o17b2o6bo2bo$o4bo2bo24bo2bo$bobo3bo$2ob<br /> 2o28bo2bo4b2o$34b2o6bo$40b2o2$29bo7b7o$26b3obo5bo2bo4bo$21b2o2bo11bo3b<br /> obo$21b2o2bo3b2o9b2ob2o$26bo4bo$27b4o2$27b4o$26bo4bo$21b2o2bo3b2o$21b<br /> 2o2bo$26b3obo$29bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = p35 R-pentomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p36honeyfarmhassler3<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = p36 honey farm hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p36honeyfarmhassler4<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = Another p36 honey farm hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p36honeyfarmhassler5<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = Yet another p36 honey farm hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 20b2o4b2o$20b2o4bobo$13b2o13bo$12bo2bobo5b2o2b2ob2o$12b3o13bob2o$15b2o<br /> 6b4obo$6bo7bo2b6o3bobo$6b2o6b2o11bo$7b2o$9bo$5b4obo$4bo4bobo$2o2bob2ob<br /> ob2o$b2obob2obo2b2o6b2o$2bobo4bo9bo2bo$3bob4o10b3o$4bo15b2o18bo$5b2o<br /> 33b2o$6b2o33b2o$7bo18b2o15bo$26b3o10b4obo$25bo2bo9bo4bobo$26b2o6b2o2bo<br /> b2obob2o$35b2obob2obo2b2o$36bobo4bo$37bob4o$38bo$39b2o$20bo11b2o6b2o$<br /> 19bobo3b6o2bo7bo$19bob4o6b2o$16b2obo13b3o$16b2ob2o2b2o5bobo2bo$19bo13b<br /> 2o$19bobo4b2o$20b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = p36 R-pentomino hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = prepulsarshuttle36reduced<br /> |position = left<br /> |viewerconfig = #C [[ GPS 18 ]]<br /> |caption = p36 pre-pulsar shuttle, reduced by EvinZL&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 21b2o8b2o$23bo7b2o$20bo$21bob2o$23b2o3$68bo6bo$67bobobob3o$24b2o40bo2b<br /> ob2o$24b2obo38bobobo3b4o$28bo38b2obob2o3bo$16b2o7bo44b2o2b2o$16b2o8b2o<br /> 45bo$3b2o59b8ob3o4b2o$3b2o59bobo5bobo5b2o$66bo6bo$21bo45bo$2b2o59b2o4b<br /> 2o10bo2bo$2o14b2o3b3o5b2o33bo16bo2bo5b2o$o5bo6b2o6bobo5b2o30b3o7b2o7bo<br /> 5b3o2bo$6b2o4b2obo5b3o37bo8bo9b2ob10o$o2bob3o4b3obo2bo50bo10bo10bo$4bo<br /> b2o4b2o14b2o45bo5b10ob2o$5b2o6bo5bo6b2o14b2o29bob2o5bo2b3o5bo$2b2o14b<br /> 2o6bo5bo6b2o30b2o9b2o5bo2bo$16b2o14b2o4b2obo47bo2bo$26bo2bob3o4b3obo2b<br /> o$22b3o5bob2o4b2o$15b2o5bobo6b2o6bo5bo46b2o$15b2o5b3o3b2o14b2o27b2o17b<br /> 2o$42b2o29bobo3b2o$24bo47b2ob2o2b2o$75bo$41b2o30b2o$41b2o30b2o$18b2o8b<br /> 2o44bo$20bo7b2o43bo$17bo53bo$18bob2o48bo$20b2o48b2o$70b2o$69bo$64b2o2b<br /> 2ob2o$64b2o3bobo$21b2o47b2o$21b2obo$25bo$13b2o7bo$13b2o8b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = p40 traffic light hassler, co-discovered with A for awesome.&lt;br/&gt; Monomer by MathAndCode.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 42b2o4b2o$41bobo4bobo$41bo8bo$38b2obo8bob2o$39bobo2bo2bo2bobo$38bo2bob<br /> ob2obobo2bo$38bobo2bob2obo2bobo$36b3ob2obo4bob2ob3o$35bo7bo4bo7bo$35bo<br /> 2b5o6b5o2bo$34b2obo2bo2b2o2b2o2bo2bob2o$35bob2o2b3o4b3o2b2obo$35bo5bo<br /> 8bo5bo$36b3o3b2o4b2o3b3o$17b2o19bo4b6o4bo13b2o$6bo2bo2bo3bo2bob2o40b2o<br /> bo2bo3bo2bo2bo$6b7o2bob3obo42bob3obo2b7o$2o13bo6b3o36b3o6bo13b2o$bo2b<br /> 11ob6o2bo36bo2b6ob11o2bo$bobo10bo7bo40bo7bo10bobo$2o2b4ob3o4b3o2b2o8bo<br /> 22bo8b2o2b3o4b3ob4o2b2o$o2bo7bo5b4o6b2o3bo20bo3b2o6b4o5bo7bo2bo$b2ob2o<br /> 4bo11bo5bo3bo11b3o6bo3bo5bo11bo4b2ob2o$2bobo5bo11b2ob2obo3bo6b3o2bobo<br /> 6bo3bob2ob2o11bo5bobo$2bobo5bo11b2ob2obo3bo6bobo2b3o6bo3bob2ob2o11bo5b<br /> obo$b2ob2o4bo11bo5bo3bo6b3o11bo3bo5bo11bo4b2ob2o$o2bo7bo5b4o6b2o3bo20b<br /> o3b2o6b4o5bo7bo2bo$2o2b4ob3o4b3o2b2o8bo22bo8b2o2b3o4b3ob4o2b2o$bobo10b<br /> o7bo40bo7bo10bobo$bo2b11ob6o2bo36bo2b6ob11o2bo$2o13bo6b3o36b3o6bo13b2o<br /> $6b7o2bob3obo42bob3obo2b7o$6bo2bo2bo3bo2bob2o40b2obo2bo3bo2bo2bo$17b2o<br /> 13bo4b6o4bo19b2o$30b3o3b2o4b2o3b3o$29bo5bo8bo5bo$29bob2o2b3o4b3o2b2obo<br /> $28b2obo2bo2b2o2b2o2bo2bob2o$29bo2b5o6b5o2bo$29bo7bo4bo7bo$30b3ob2obo<br /> 4bob2ob3o$32bobo2bob2obo2bobo$32bo2bobob2obobo2bo$33bobo2bo2bo2bobo$<br /> 32b2obo8bob2o$35bo8bo$35bobo4bobo$36b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = p40 traffic light hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p40honeyfarmhassler2<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = p40 honey farm hassler #1<br /> }}<br /> |{{EmbedViewer<br /> |pname = p40honeyfarmhassler3<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = p40 honey farm hassler #2<br /> }}<br /> |{{EmbedViewer<br /> |pname = p42rpentominohassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 21 ]]<br /> |caption = p42 R-pentomino hassler, co-discovered with EvinZL&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 13bo2bo2bo24bo2bo2bo$13b7o2bo18bo2b7o$20b3o18b3o$15b4o26b4o$14bobo2b2o<br /> 22b2o2bobo$14bo6bo20bo6bo$13b2ob5obo18bob5ob2o$14bo5bobo18bobo5bo$14bo<br /> bo2bo2b2o16b2o2bo2bobo$12bobo2bobobo20bobobo2bobo$12b2ob2o2bobo20bobo<br /> 2b2ob2o$15bo3bob2o18b2obo3bo$15bob2obo22bob2obo$12b2obo4bo22bo4bob2o$<br /> 12bobo3bob2o20b2obo3bobo$15b4o2bo6b8o6bo2b4o$19b2o7bob4obo7b2o$15b4o2b<br /> o6b8o6bo2b4o$15bo2bob2o20b2obo2bo$b2o4b2ob2o8bo22bo$2bo4bob2obo5bobo<br /> 21bo2bo$2bob2obo4bo5b2o22bob2o$2o2bobob4ob2o26b2obo3b2o$bobo4bo2bobobo<br /> 26bobobo2bo$o2b4o2bo2b2obo15b3o8bobob2o$b2o2bo4bo2bob2o13bo3bo6b2obo8b<br /> 2o$3b2o5b4o2bo7b3o2bo5bo5bo2b4o5bo$3bo6bo3b3o6bo3bo2bo3bo6b3o3bo6bo$4b<br /> o5b4o2bo5bo5bo2b3o7bo2b4o5b2o$3b2o8bob2o6bo3bo13b2obo2bo4bo2b2o$10b2ob<br /> obo8b3o15bob2o2bo2b4o2bo$8bo2bobobo26bobobo2bo4bobo$8b2o3bob2o26b2ob4o<br /> bobo2b2o$12b2obo22b2o5bo4bob2obo$12bo2bo21bobo5bob2obo4bo$14bo22bo8b2o<br /> b2o4b2o$9bo2bob2o20b2obo2bo$9b4o2bo6b8o6bo2b4o$13b2o7bob4obo7b2o$9b4o<br /> 2bo6b8o6bo2b4o$6bobo3bob2o20b2obo3bobo$6b2obo4bo22bo4bob2o$9bob2obo22b<br /> ob2obo$9bo3bob2o18b2obo3bo$6b2ob2o2bobo20bobo2b2ob2o$6bobo2bobobo20bob<br /> obo2bobo$8bobo2bo2b2o16b2o2bo2bobo$8bo5bobo18bobo5bo$7b2ob5obo18bob5ob<br /> 2o$8bo6bo20bo6bo$8bobo2b2o22b2o2bobo$9b4o26b4o$14b3o18b3o$7b7o2bo18bo<br /> 2b7o$7bo2bo2bo24bo2bo2bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 21 ]]<br /> |caption = p42 honey farm hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 15bobo2b2o20b2o$15b2obo2bo3b2o15bo2bo$13b2o3b3o3bobo9b2ob2obob2o$12bo<br /> 2bobo5bobo11bobo2bo2bob2o$12b4o2bo4bob2o10bobobobobobobo$17b2o2bo3b2o<br /> 8bobobobobobobobo$12b4o17b3obo9bob2o$11bo6b4o10bo4bob3ob3obo3bo$12bobo<br /> 4b2ob2obo7b2obo11bob2o$11b2ob3o6bobo8bobob2o5b2obobo$11bo7bo5b2o6bo2bo<br /> b2o5b2obo2bo$12b2ob7o11b2o2b3o5b3o2b2o$13bobo2bob2o$13bo2bo4bo15bo9bo<br /> 14b2o$14b2o3b2o16b2o7b2o14b2o$10b2o7b2o4b3o10b2o5b2o$10b2o26b9o13b6o<br /> 10b2o$23bo5bo29bo3bo2bo9bo$8b4o11bo5bo19b2o9b2o3b2o3bo3bobo$8bo3bo10bo<br /> 5bo10bo3bo3bobo10bo7bobobobob2o$5b2obobobo29bo5b2o11bobo5bobobo3bo$5bo<br /> 2bo16b3o33bobo3b2obo2b3obo$7bo2b6o44bo5bo3bobo3bo$6b2obob3o15b2o29bo4b<br /> ob3obobo$2bobob2o3b3o2bo12b2o22bo6bo2bo2bo2bobobobo$2ob2o2bobobo4bo8bo<br /> 4bo6bo14bobo6bo2bo3b2obo3bo$2obo3bo6bo2bo6bobo9b3obo10bo3bo5b4ob4obob<br /> 2ob2o$b2ob2obob4ob4o5bo3bo10bob3o9bobo6bo2bo6bo3bob2o$3bo3bob2o3bo2bo<br /> 6bobo14bo6bo4bo8bo4bobobo2b2ob2o$3bobobobo2bo2bo2bo6bo22b2o12bo2b3o3b<br /> 2obobo$5bobob3obo4bo29b2o15b3obob2o$2bo3bobo3bo5bo44b6o2bo$bob3o2bob2o<br /> 3bobo33b3o16bo2bo$bo3bobobo5bobo11b2o5bo29bobobob2o$2obobobobo7bo10bob<br /> o3bo3bo10bo5bo10bo3bo$2bobo3bo3b2o3b2o9b2o19bo5bo11b4o$2bo9bo2bo3bo29b<br /> o5bo$b2o10b6o13b9o26b2o$32b2o5b2o10b3o4b2o7b2o$15b2o14b2o7b2o16b2o3b2o<br /> $15b2o14bo9bo15bo4bo2bo$57b2obo2bobo$27b2o2b3o5b3o2b2o11b7ob2o$27bo2bo<br /> b2o5b2obo2bo6b2o5bo7bo$28bobob2o5b2obobo8bobo6b3ob2o$27b2obo11bob2o7bo<br /> b2ob2o4bobo$26bo4bob3ob3obo3bo11b4o6bo$27b3obo9bob2o18b4o$29bobobobobo<br /> bobobo8b2o3bo2b2o$31bobobobobobobo8b2obo4bo2b4o$31bobo2bo2bob2o10bobo<br /> 5bobo2bo$30b2ob2obob2o12bobo3b3o3b2o$36bo2bo12b2o3bo2bob2o$36b2o19b2o<br /> 2bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 22 ]]<br /> |caption = p44 R-pentomino hassler, reduced by Dongook Lee&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 9b6o$8bo6bo$7bo8bo9bo$8bo6bo8b3o$9b6o8bo$23b2o6b2o$31bo$29bobo$29b2o2$<br /> 2o$bo$bobo16b3o$2b2o6bobo7bobo$10bobo7bobo6b2o$10b3o16bobo$31bo$31b2o<br /> 2$2b2o$bobo$bo$2o6b2o$9bo8b6o$6b3o8bo6bo$6bo9bo8bo$17bo6bo$18b6o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 23 ]]<br /> |caption = p45 pi-heptomino hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 17bo4bo$15b2ob4ob2o$17bo4bo4$57b4o$56b6o$2o3bo2bo3b2o4b2o35b8o$5o4b5o<br /> 3bobo34b2o6b2o$2o3bo2bo3b2o3bo37b8o$17bobo36b6o$18b2o12bo24b4o$31bobo<br /> 32b2o6b2o$31bobo31bo2bo4bo2bo$6b2o22b2ob2o18b2o10bo2bo4bo2bo$6bobob2o<br /> 22bo18bobo9bo2bo4bo2bo$8bob2o18b2obo20bo11b2o6b2o$7bo22b2obobo$7b2ob2o<br /> 22b2o$8bobo$8bobo$9bo12b2o33b2o$22bobo32bobo$24bo3b2o3bo2bo3b2o17bo3b<br /> 2o3bo2bo3b2o$22bobo3b5o4b5o15bobo3b5o4b5o$22b2o4b2o3bo2bo3b2o15b2o4b2o<br /> 3bo2bo3b2o6$19bo4bo29bo4bo$17b2ob4ob2o25b2ob4ob2o$19bo4bo29bo4bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 23 ]]<br /> |caption = p45 pi-heptomino hassler, co-discovered with praosylen.&lt;br/&gt; Monomer by JP21.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 6bo62bo68bo$5bobo60bobo66bobo$5bobo60bobo66bobo$4b2ob2o44b2o12b2ob2o<br /> 49b2o13b2ob2o$53b2o66b2o2$53b2o66b2o$53b2o66b2o$43bo$42bobo8b2o66b2o$<br /> 42bobo8b2o66b2o$41b2ob2o$53b2o66b2o$4b2ob2o44b2o12b2ob2o49b2o13b2ob2o$<br /> 4b2ob2o58b2ob2o39bo24b2ob2o$4b2ob2o44b2o12b2ob2o38bobo8b2o13b2ob2o$2bo<br /> b2ob2obo10bo7b2o22b2o10bob2ob2obo36bobo8b2o11bob2ob2obo$2b3o3b3o10b3o<br /> 5b2o34b3o3b3o35b2ob2o20b3o3b3o39bo$3bo5bo14bo28b2o11bo5bo48b2o12bo5bo<br /> 39bobo$23b2o28b2o66b2o58bobo$39bo7bo132b2ob2o$25b3o9bob2o5b2obo3b2o66b<br /> 2o$24bo3bo8bo3b2ob2o3bo3b2o34bo8b2o21b2o$17b2o4bo5bo8bo3bobo3bo40b3o6b<br /> 2o$17b2o4bo5bo9b3o3b3o5b2o37bo28b2o$23bo5bo23b2o36b2o28b2o37bo8b2o$24b<br /> o3bo78bo7bo44b3o6b2o$25b3o25b2o38b3o9bob2o5b2obo3b2o40bo$53b2o37bo3bo<br /> 8bo3b2ob2o3bo3b2o39b2o$91bo5bo8bo3bobo3bo61bo7bo$53b2o36bo5bo9b3o3b3o<br /> 5b2o41b3o9bob2o5b2obo$53b2o36bo5bo23b2o40bo3bo8bo3b2ob2o3bo$92bo3bo65b<br /> o5bo8bo3bobo3bo$53b2o38b3o25b2o39bo5bo9b3o3b3o$22b3o28b2o30b3o33b2o31b<br /> 3o5bo5bo$21bo3bo58bo3bo64bo3bo5bo3bo$20bo5bo26b2o28bo5bo31b2o29bo5bo5b<br /> 3o$2b3o3b3o9bo5bo4b2o20b2o10b3o3b3o9bo5bo31b2o11b3o3b3o9bo5bo$bo3bobo<br /> 3bo8bo5bo4b2o31bo3bobo3bo8bo5bo43bo3bobo3bo8bo5bo$o3b2ob2o3bo8bo3bo27b<br /> 2o8bo3b2ob2o3bo8bo3bo32b2o9bo3b2ob2o3bo8bo3bo$ob2o5b2obo9b3o28b2o8bob<br /> 2o5b2obo9b3o33b2o9bob2o5b2obo9b3o$2bo7bo54bo7bo60bo7bo$25b2o26b2o33b2o<br /> 31b2o34b2o$25bo14bo5bo6b2o33bo32b2o34bo$19b2o5b3o10b3o3b3o33b2o6b3o58b<br /> 2o6b3o$19b2o7bo10bob2ob2obo5b2o26b2o8bo29b2o27b2o8bo$41b2ob2o7b2o66b2o<br /> $41b2ob2o$41b2ob2o7b2o66b2o$53b2o53bo5bo6b2o$4b2ob2o58b2ob2o35b3o3b3o<br /> 20b2ob2o$5bobo45b2o13bobo36bob2ob2obo5b2o14bobo$5bobo45b2o13bobo38b2ob<br /> 2o7b2o14bobo39bo5bo$6bo62bo39b2ob2o24bo39b3o3b3o$53b2o54b2ob2o7b2o55bo<br /> b2ob2obo$53b2o66b2o57b2ob2o$180b2ob2o$53b2o66b2o57b2ob2o$41b2ob2o7b2o<br /> 66b2o$42bobo$42bobo8b2o66b2o$43bo9b2o66b2o3$109b2ob2o$110bobo$110bobo$<br /> 111bo68b2ob2o$181bobo$181bobo$182bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 23 ]]<br /> |caption = Three different p46 honey farm hasslers,&lt;br/&gt; the first of which was co-discovered with Extrementhusiast&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 10bo$4bo4bobo$4b3o2bobo$7bobob2o$4b4obo3bo$4bo2bobo3bo$6b2obo3bo$2o2bo<br /> 2bo5bo$o2bobobo2bo2bo$b5ob2obo2bo$6bo2bob2o9b2o$b4obob2obo8b2o2bo$bo2b<br /> obobo2bo8b5o$5bo3b2o3$30b2o3bo$16b5o8bo2bobobo2bo$16bo2b2o8bob2obob4o$<br /> 17b2o9b2obo2bo$27bo2bob2ob5o$27bo2bo2bobobo2bo$27bo5bo2bo2b2o$27bo3bob<br /> 2o$27bo3bobo2bo$27bo3bob4o$28b2obobo$29bobo2b3o$29bobo4bo$30bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 24 ]]<br /> |caption = p48 unnamed object hassler.&lt;br/&gt; The unnamed object is a 6-cell traffic light predecessor.&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 42bo5bo$41b3o3b3o$40bobobobobobo$39b2obobobobob2o$39bob4ob4obo$39b5o3b<br /> 5o3$43b2ob2o$42bobobobo$43bo3bo19b2o$63b2obo2bo3bo2bo2bo$64bob3obo2b7o<br /> $61b3o6bo13b2o$61bo2b6ob11o2bo$63bo5bo3bo8bobo$54b2o8bo2b2obo3b3o2b2ob<br /> ob2o$54b4o6bo2bo7bobobo5bo$45b3o6b2obobo6bo9b3ob2ob2o$45bobo6b2obo2bob<br /> 2o12b3o2bobo$17b2o25bo2bo6b2obo2bob2o12b3o2bobo$6bo2bo2bo3bo2bob2o21bo<br /> bo7b2obobo6bo9b3ob2ob2o$6b7o2bob3obo22b3o7b4o6bo2bo7bobobo5bo$2o13bo6b<br /> 3o29b2o8bo2b2obo3b3o2b2obob2o$bo2b11ob6o2bo38bo5bo3bo8bobo$bobo8bo3bo<br /> 5bo38bo2b6ob11o2bo$2obob2o2b3o3bob2o2bo8b2o29b3o6bo13b2o$o5bobobo7bo2b<br /> o6b4o7b3o22bob3obo2b7o$b2ob2ob3o9bo6bobob2o7bobo21b2obo2bo3bo2bo2bo$2b<br /> obo2b3o12b2obo2bob2o6bo2bo25b2o$2bobo2b3o12b2obo2bob2o6bobo$b2ob2ob3o<br /> 9bo6bobob2o6b3o$o5bobobo7bo2bo6b4o$2obob2o2b3o3bob2o2bo8b2o$bobo8bo3bo<br /> 5bo$bo2b11ob6o2bo$2o13bo6b3o$6b7o2bob3obo$6bo2bo2bo3bo2bob2o$17b2o19bo<br /> 3bo$37bobobobo$38b2ob2o3$34b5o3b5o$34bob4ob4obo$34b2obobobobob2o$35bob<br /> obobobobo$36b3o3b3o$37bo5bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 24 ]]<br /> |caption = p48 lumps of muck hassler, using two [[180P8]]s&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 35bo2b2o4b2o2bo$35b4obo2bob4o$40b4o$37b2o6b2o$36bobob4obobo$36bo2b2o2b<br /> 2o2bo$33b2ob2o8b2ob2o$34bobo10bobo$34bobo10bobo$33b2obob8obob2o$34bobo<br /> bob4obobobo$34bobo2bob2obo2bobo$33b2obo10bob2o$36bo10bo$36b3o6b3o$34b<br /> 2o2bo6bo2b2o$33bo2bo10bo2bo$32bobobo3bo2bo3bobobo$32bobob3o6b3obobo$<br /> 33b2obobo6bobob2o$36bobo6bobo$33b2ob3o6b3ob2o$33bobo5b2o5bobo$35bo5b2o<br /> 5bo$35b2o10b2o$41b2o$41b2o$40bo2bo$40bo2bo$40bo2bo$17b2o19b8o$6bo2bo2b<br /> o3bo2bob2o16bo4bo$6b7o2bob3obo$2o13bo6b3o$bo2b11ob6o2bo$bobo4bo5bobobo<br /> 4bo$2obobo4b2o3bo3b2o20bo$o5bo2bo2bo4b2o8b5obo6bobo$b2ob2o6bo5b2o3bob<br /> 2o13bobo$2bobo7bo8bo2bo9bo6bo$2bobo7bo8bo2bo9bo$b2ob2o6bo5b2o3bob2o20b<br /> o$o5bo2bo2bo4b2o8b5obo12bobo$2obobo4b2o3bo3b2o26bo$bobo4bo5bobobo4bo$b<br /> o2b11ob6o2bo$2o13bo6b3o$6b7o2bob3obo$6bo2bo2bo3bo2bob2o$17b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 24 ]]<br /> |caption = p48 beehive hassler and sparker, reduced by iNoMed&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 30b2o$30bobob2o$32bobo$31bo2bo$24b2ob2obobob2o$25bobo3b2o3bo$25bobo5b<br /> 3o$26bob5o$29bo2bob2o$24b5o2b2obobo$23bo4bo3bo3bo$24b3obob2ob3o$3b2o3b<br /> 2o16bo6bo$3b2o3b2o$13bo13bo4bo$13b2o3b2o8bo2bo$4bo10bo2b2o9b3o$3bob2o<br /> 2b2o3bo14bo2bo8b2o$2b2o6bo3bo19bo4b2obo$32bo2bo3bo$18b2o$5b2o7bo3b2o<br /> 16bo3bo2bo$2o3bo7b2o18bob2o4bo$2o31b2o8bo2bo$44b3o$5bo3bo6b2o26bo2bo$<br /> 5bo3b2o2b2obo8bo17bo4bo$2o2bo10bo9bo$2o3b2o18bo16bo6bo$6bo33b3ob2obob<br /> 3o$10b2o3b2o4b3o3b3o9bo3bo3bo4bo$10b2o3b2o22bobob2o2b5o$25bo14b2obo2bo<br /> $25bo17b5obo$25bo14b3o5bobo$39bo3b2o3bobo$16b2o5bo16b2obobob2ob2o$16b<br /> 2o4b3o4b2o10bo2bo$16bo5b3o4b2o10bobo$12bob5obo5bo3bo9b2obobo$11bo3b3o<br /> 10b5obo9b2o$12bo9bo6b3o3bo$34bo2$16b2o8b2o$16bo2b6o2bo$17b2o6b2o$14b3o<br /> 10b3o$14bo2bobo4bobo2bo$15b2o4b2o4b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 24 ]]<br /> |caption = p48 traffic light hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p50honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 25 ]]<br /> |caption = p50 honey farm hassler, co-discovered with Extrementhusiast<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 33b2o11b2o$34bo11bo$33bo13bo$33b2o5bo5b2o$36b2obobob2o$31b5obobobobob<br /> 5o$30bo4bobobobobobo4bo$31b3ob2ob2ob2ob2ob3o$33bobo9bobo$34bo11bo$16b<br /> 2o4b2o$4b2o3b2o4bobo4bo$4bobobobo3bo2bob2obo$2b2o2bobo6b2obobob2o$3bob<br /> 2obo7bo$3bo4bo7b2ob2ob2obo$2b2ob2o2b2ob2ob3o3b2o$o2bob2o3bob2obob2o2bo<br /> bo3bo3bo$2obo2bo5bobo3bo2bobo3bo3b2o13bo$3bo2bo5b4o5b2o9b2o11bobo$3bo<br /> 3bo3bo5bob2ob2obo7bo9b3obo$4b3o5b5obo23bo4b2obo$6bobo8b2obob2o18bob2o<br /> 3b2o5b2o$7b2o5b2o3b2obo18b2obob2o8bobo$14bob2o4bo23bob5o5b3o$17bob3o9b<br /> o7bob2ob2obo5bo3bo3bo$17bobo11b2o9b2o5b4o5bo2bo$18bo13b2o3bo3bobo2bo3b<br /> obo5bo2bob2o$33bo3bo3bobo2b2obob2obo3b2obo2bo$42b2o3b3ob2ob2o2b2ob2o$<br /> 39bob2ob2ob2o7bo4bo$48bo7bob2obo$41b2obobob2o6bobo2b2o$42bob2obo2bo3bo<br /> bobobo$42bo4bobo4b2o3b2o$41b2o4b2o$18bo11bo$17bobo9bobo$15b3ob2ob2ob2o<br /> b2ob3o$14bo4bobobobobobo4bo$15b5obobobobob5o$20b2obobob2o$17b2o5bo5b2o<br /> $17bo13bo$18bo11bo$17b2o11b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 25 ]]<br /> |caption = p50 lumps of muck/R-pentomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = trueperiod54gun<br /> |position = left<br /> |viewerconfig = #C [[ GPS 27 ]]<br /> |caption = [[period-54 glider gun]]<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 21bo$19b3o$18bo$18b2o2$15b3o$3b2o9bo3bo$b3obo7bo5bo$o4bo7bo5bo$b3ob2o<br /> 6bo5bo$3b2o2bo6bo3bo8bo$6b2o7b3o8bobob2o$7bo18bobobo$3bo4bo16b2obobo$<br /> 3bob4o16bo2bob2o$4bo21bobobo$6bo18bo5bo$5b2o18b2ob3o$26bo$9b2o12b2obob<br /> 3o$9b2ob2o2bobo4b6o2bo$13bob2o2bo3bo6bo$13b2obob2o4b6o$8b2o5b2o6b2o3bo<br /> $9bo6bob2o3b2obo3bo$6b3o5bobob2o3b8o$6bo7b2o$27bob2o$26b2ob2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 28 ]]<br /> |caption = Period-55 glider gun<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 37b2o11b2obobo4bobob2o$37b2o10bobob2obo2bob2obobo$47b3o2bo3b4o6bo$46bo<br /> 3bobob2o4b5ob2o$46bobobobo2bob2o4bobo$2b2obobo4bobob2o32bo4bo2b4o3bo$b<br /> obob2obo2bob2obobo28bo3b2o3bo3bo3bo$bo6b4o3bo2b3o30b4obob2obobo$2ob5o<br /> 4b2obobo3bo24b2o3b2obo4bo3bobo$2bobo4b2obo2bobobobo27bo5bob3obo2bobo$<br /> 2bo3b4o2bo4bo28bob3o6bobo2bobobo$3bo3bo3bo3b2o3bo25bo3bo5bo2b2obobob2o<br /> $4bobob2obob4o20bo9bo3bobob2o3bob2o$2bobo3bo4bob2o3b2o14bobo5bo2b3obob<br /> o2b3obo$bobo2bob3obo5bo17bob2o4bo2b3obobo2b3obo$bobobo2bobo6b3obo15bo<br /> 9bo3bobob2o3bob2o$2obobob2o2bo5bo3bo24bo3bo5bo2b2obobob2o$4b2obo3b2obo<br /> bo3bo9bo15bob3o6bobo2bobobo$7bob3o2bobob3o2bo4b2obo17bo5bob3obo2bobo$<br /> 7bob3o2bobob3o2bo5bobo14b2o3b2obo4bo3bobo$4b2obo3b2obobo3bo9bo20b4obob<br /> 2obobo$2obobob2o2bo5bo3bo25bo3b2o3bo3bo3bo$bobobo2bobo6b3obo28bo4bo2b<br /> 4o3bo$bobo2bob3obo5bo27bobobobo2bob2o4bobo$2bobo3bo4bob2o3b2o24bo3bobo<br /> b2o4b5ob2o$4bobob2obob4o30b3o2bo3b4o6bo$3bo3bo3bo3b2o3bo28bobob2obo2bo<br /> b2obobo$2bo3b4o2bo4bo32b2obobo4bobob2o$2bobo4b2obo2bobobobo$2ob5o4b2ob<br /> obo3bo$bo6b4o3bo2b3o$bobob2obo2bob2obobo10b2o$2b2obobo4bobob2o11b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 29 ]]<br /> |caption = p57 [[R-pentomino]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 10bo6bo$9b2o6b2o$8b3o6b3o$9b2o6b2o$bo8bo6bo$b3o$4bo$3bobo$4bo4b3o$9bo$<br /> 10bo$5b2o$5b2o$25b2o$25b2o$bo10b3o11bo$o3b3o5bobo2b3o4b5obo$bob5o4b3o<br /> 2bobo5b3o3bo$5bo11b3o10bo$5b2o$5b2o$25b2o$25b2o$21bo$22bo$20b3o4bo$26b<br /> obo$27bo$28b3o$14bo6bo8bo$13b2o6b2o$12b3o6b3o$13b2o6b2o$14bo6bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 30 ]]<br /> |caption = p60 traffic light hassler, co-discovered with Adam. P. Goucher&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p60honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 30 ]]<br /> |caption = p60 honey farm shuttle (or &quot;wiggler shuttle&quot;)&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 94b2o$94bobob2o$96bobo$95b2obo$88b2ob2obobob2o$89bobo3b2o3bo$89bobobo<br /> 3b3o$90b7o$96bob2o$88b6o3b2obo$87bo7b2o3bo$88b3o6b3o$90bo6bo$83bo7b6o$<br /> 76bo5b3o$76b2o7bo$75bobo4bo2b2o$73bob2o8b3o$73bob2o2b2o3b3o$73bobo2b3o<br /> 2bob3o$75b2o2bo3b6o3bo2b2o$25b2o57b3obo2b3o2bobo8b2o$23bo4bo56b3o3b2o<br /> 2b2obo6bo4bo$22bo6bo54b3o8b2obo5bo6bo$21bo8bo54b2o2bo4bobo6bo8bo$21bo<br /> 8bo55bo7b2o7bo8bo$9bo11bo8bo56b3o5bo7bo8bo$8bobo11bo6bo45b6o7bo15bo6bo<br /> $8bobo12bo4bo45bo6bo23bo4bo$6b3ob2o13b2o45b3o6b3o23b2o$5bo65bo3b2o7bo<br /> 6b2o$6b3ob2o59bob2o3b6o6bo2bo$8bob2o24b2o6b2o26b2obo14bobo25b2o6b2o$<br /> 34bo4bo2bo4bo27b7o9bo24bo4bo2bo4bo$34bo4bo2bo4bo24b3o3bobobo33bo4bo2bo<br /> 4bo$18b3o13bo4bo2bo4bo23bo3b2o3bobo17b3o13bo4bo2bo4bo$18bo2b2o13b2o6b<br /> 2o26b2obobob2ob2o16bo2b2o13b2o6b2o$18b2o2bo50bob2o23b2o2bo$20b3o2b3o<br /> 45bobo26b3o2b3o$25bo2b2o42b2obobo29bo2b2o11b2o$2b2o6b2o13b2o2bo46b2o6b<br /> 2o6b2o13b2o2bo10bob3o$o4bo2bo4bo13b3o52bo4bo2bo4bo13b3o10bobobo$o4bo2b<br /> o4bo68bo4bo2bo4bo25b2o2b3o$o4bo2bo4bo68bo4bo2bo4bo28bo$2b2o6b2o24b2obo<br /> 44b2o6b2o24b2o5bo$36b2ob3o75bobo5b2o$42bo74bo$21b2o13b2ob3o61b2o10b3o<br /> 8bobo$19bo4bo12bobo61bo4bo7bo12b2o$18bo6bo11bobo60bo6bo6b2o$17bo8bo11b<br /> o60bo8bo$17bo8bo72bo8bo$17bo8bo72bo8bo$18bo6bo74bo6bo$19bo4bo76bo4bo$<br /> 21b2o80b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 30 ]]<br /> |caption = p60 LOM hassler, co-discovered with iNoMed. On the right are two different period multipliers. The top left eater 2 is replaced by a p48 (also on this page); together, they flip a loaf at period LCM(60,48) = 240. The bottom right uses the same period-doubling reaction as [[35P12.1]] for a p120; the p3 ([[fire-spitting]]) was put together by praosylen.<br /> }}<br /> |}</div>

Praosylen https://conwaylife.com/w/index.php?title=User:HotdogPi/My_discoveries/Period_61-100&diff=86237 2021-12-20T20:34:05Z

<p>Praosylen: sorry to butt into your userspace! fyi I&#039;m changing how I want to be credited now</p> <hr /> <div>== High-period ==<br /> {|<br /> |{{EmbedViewer<br /> |pname = p63skewedpulsarhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 32 ]]<br /> |caption = p63 skewed pulsar hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 12bo23bo$11bob3o17b3obo$16bo2b2o7b2o2bo$11b2o3bo2b2o7b2o2bo3b2o$10bo4b<br /> o17bo4bo$11b4o19b4o2$4b2o5b4o19b4o5b2o$5bo4bo4bo17bo4bo4bo$4bo6b2o3bo<br /> 2b2o7b2o2bo3b2o6bo$4b4o8bo2b2o7b2o2bo8b4o$7bo3bob3o17b3obo3bo$4b2o6bo<br /> 23bo6b2o$4bo2bo33bo2bo$5b3o33b3o$3bobo37bobo$b3obo37bob3o$o4b3o33b3o4b<br /> o$b2obo2bo33bo2bob2o$2bob2o11b3o9b3o11b2obo$2bo4bo9bobo9bobo9bo4bo$3b<br /> 5o9b3o9b3o9b5o2$5bo37bo$4bobo35bobo$4bobo35bobo$5bo37bo2$3b5o9b3o9b3o<br /> 9b5o$2bo4bo9bobo9bobo9bo4bo$2bob2o11b3o9b3o11b2obo$b2obo2bo33bo2bob2o$<br /> o4b3o33b3o4bo$b3obo37bob3o$3bobo37bobo$5b3o33b3o$4bo2bo33bo2bo$4b2o6bo<br /> 23bo6b2o$7bo3bob3o17b3obo3bo$4b4o8bo2b2o7b2o2bo8b4o$4bo6b2o3bo2b2o7b2o<br /> 2bo3b2o6bo$5bo4bo4bo17bo4bo4bo$4b2o5b4o19b4o5b2o2$11b4o19b4o$10bo4bo<br /> 17bo4bo$11b2o3bo2b2o7b2o2bo3b2o$16bo2b2o7b2o2bo$11bob3o17b3obo$12bo23b<br /> o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 32 ]]<br /> |caption = p63 traffic light hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 25bob2o4b2obo$25b2o2bo2bo2b2o$23b2o3bo4bo3b2o$22bo3b2ob4ob2o3bo$23b3ob<br /> obo2bobob3o$25bobo6bobo$26b2o6b2o$27b8o$13b2o14b4o$12bobo$12bo13b2o6b<br /> 2o$11b2o13bo2bo2bo2bo$6bo20b8o$5bo5b4o$5b2o4bo2bo10b5o2b5o$3bo9bo10bo<br /> 4b4o4bo$6bo7b3o8b12o$2obo2bo9bo$4b2o19b2o8b2o$3b2obo3bo13bo2b2o4b2o2bo<br /> 11b2o$5bobob2o13b2o10b2o10bobo$5bo2b3o37bo$2bo44b2o$bobo3b4o4bo26bo$2b<br /> o4b4o3bobo24bo5b4o$15bo15bobo7b2o4bo2bo$7b3o2bo18bo2bo4bo9bo$7b2obobo<br /> 18bo2bo7bo7b3o$7bo3bob2o17b2o2b2obo2bo9bo$12b2o26b2o$bo9bo2bob2o2b2o<br /> 17b2obo3bo$b3o7bo7bo2bo18bobob2o$4bo9bo4bo2bo18bo2b3o$3bo2bo4b2o7bobo<br /> 15bo$3b4o5bo24bobo3b4o4bo$11bo26bo4b4o3bobo$5b2o44bo$5bo37b3o2bo$3bobo<br /> 10b2o10b2o13b2obobo$3b2o11bo2b2o4b2o2bo13bo3bob2o$17b2o8b2o19b2o$37bo<br /> 9bo2bob2o$17b12o8b3o7bo$16bo4b4o4bo10bo9bo$17b5o2b5o10bo2bo4b2o$39b4o<br /> 5bo$19b8o20bo$18bo2bo2bo2bo13b2o$18b2o6b2o13bo$39bobo$21b4o14b2o$19b8o<br /> $18b2o6b2o$17bobo6bobo$15b3obobo2bobob3o$14bo3b2ob4ob2o3bo$15b2o3bo4bo<br /> 3b2o$17b2o2bo2bo2b2o$17bob2o4b2obo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 32 ]]<br /> |caption = p63 beehive hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 29b2o$29b2o2$27b4o$23b2o2bo2bo2b2o$23bobobo2bobobo$25bobob2obo$24b2obo<br /> 2bob2o$26b3o$28bo$3b2o3b2o17b3o$2bo2bo2b2o18bo2bo$2bo10b6o10bo$2bo2bo<br /> 6bo2bo3bo4bob2o4b2o$2b2ob2o6bo5bo3bo3bobo4bo$2bo2bo3b2o3b3obo4bo6bobob<br /> o$2bobo4b2o4bo8bobo4b3o$3bo$18b2o$5b2o6b2o3b2o$2o3b2o6b2o$2o$16bo$4bo<br /> 4b2o4bobo$bob3o3b2o3bo2bo$o5bo6b2ob2o10b2ob2o$o3bo2bo6bo2bo10bo3bo16b<br /> 2o$b6o10bo11b3o17b2o$10b2o2bo2bo$10b2o3b2o$54b2o3b2o$53bo2bo2b2o$20b2o<br /> 17b3o11bo10b6o$20b2o16bo3bo10bo2bo6bo2bo3bo$38b2ob2o10b2ob2o6bo5bo$53b<br /> o2bo3b2o3b3obo$53bobo4b2o4bo$54bo$69b2o$56b2o6b2o3b2o$51b2o3b2o6b2o$<br /> 51b2o$67bo$37b3o4bobo8bo4b2o4bobo$36bobobo6bo4bob3o3b2o3bo2bo$36bo4bob<br /> o3bo3bo5bo6b2ob2o$37b2o4b2obo4bo3bo2bo6bo2bo$41bo10b6o10bo$39bo2bo18b<br /> 2o2bo2bo$41b3o17b2o3b2o$42bo$42b3o$37b2obo2bob2o$38bob2obobo$36bobobo<br /> 2bobobo$36b2o2bo2bo2b2o$40b4o2$40b2o$40b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 32 ]]<br /> |caption = p64 pi-heptomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = prepulsarshuttle65<br /> |position = left<br /> |viewerconfig = #C [[ GPS 33 ]]<br /> |caption = p65 [[pre-pulsar shuttle]], co-discovered with (independently) Matthias Merzenich and Dongook Lee &lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 21b2o31b2o$17b2obobo31bobob2o$18bobo35bobo$18bo2bo33bo2bo$17b2obobob2o<br /> b2o19b2ob2obobob2o$16bo3b2o3bobo21bobo3b2o3bo$17b3o5bobo21bobo5b3o$20b<br /> 5obo23bob5o$17b2o39b2o$16bob2o2b7o19b7o2b2obo$16bo12bo17bo12bo$17b3ob<br /> 4ob3o19b3ob4ob3o$19b8o23b8o4$5bo3b2o55b2o3bo$bo2bobobo2bo53bo2bobobo2b<br /> o$b4obob2obo53bob2obob4o$6bo2bob2o51b2obo2bo$b2ob2obo4bo21bo7bo21bo4bo<br /> b2ob2o$o2bobobo3b2o20b2o7b2o20b2o3bobobo2bo$2o2bo2bobob2o21b2o5b2o21b<br /> 2obobo2bo2b2o$7bobob2o51b2obobo$4bo2bobob2o51b2obobo2bo$4b3o2bo2bo51bo<br /> 2bo2b3o$7bobob2o51b2obobo$4b3o2bobo53bobo2b3o$4bo4bobo53bobo4bo$10bo<br /> 55bo4$21bo33bo$20b3o31b3o$22bo31bo6$22bo31bo$20b3o31b3o$21bo33bo4$10bo<br /> 55bo$4bo4bobo53bobo4bo$4b3o2bobo53bobo2b3o$7bobob2o51b2obobo$4b3o2bo2b<br /> o51bo2bo2b3o$4bo2bobob2o51b2obobo2bo$7bobob2o51b2obobo$2o2bo2bobob2o<br /> 21b2o5b2o21b2obobo2bo2b2o$o2bobobo3b2o20b2o7b2o20b2o3bobobo2bo$b2ob2ob<br /> o4bo21bo7bo21bo4bob2ob2o$6bo2bob2o51b2obo2bo$b4obob2obo53bob2obob4o$bo<br /> 2bobobo2bo53bo2bobobo2bo$5bo3b2o55b2o3bo4$19b8o23b8o$17b3ob4ob3o19b3ob<br /> 4ob3o$16bo12bo17bo12bo$16bob2o2b7o19b7o2b2obo$17b2o39b2o$20b5obo23bob<br /> 5o$17b3o5bobo21bobo5b3o$16bo3b2o3bobo21bobo3b2o3bo$17b2obobob2ob2o19b<br /> 2ob2obobob2o$18bo2bo33bo2bo$18bobo35bobo$17b2obobo31bobob2o$21b2o31b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 33 ]]<br /> |caption = p66 [[R-pentomino]] hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle = <br /> 39b2o$31bo6bobo3b2o$31b2o4bo2bo3b2o$35bo3bo$35bobo2$35bobo$35bo3bo$31b<br /> 2o4bo2bo3b2o$31bo6bobo3b2o$39b2o$25b2o$25b2o6$b2o5b2o$b2o5b2o2$32bo$<br /> 31b3o$3o5b3o20bo2bo$o2bo3bo2bo22b2o$bo7bo41b2o$2bobobobo42b2o2$3b2ob2o<br /> $23b2o$22bobo$2bo5bo12b2o17b2o12b2o5b2o$b2o5b2o12b2o17b2o12bo5bo$39bob<br /> o$39b2o$56b2ob2o2$11b2o42bobobobo$11b2o41bo7bo$29b2o22bo2bo3bo2bo$29bo<br /> 2bo20b3o5b3o$30b3o$31bo2$54b2o5b2o$54b2o5b2o6$37b2o$37b2o$23b2o$18b2o<br /> 3bobo6bo$18b2o3bo2bo4b2o$24bo3bo$26bobo2$26bobo$24bo3bo$18b2o3bo2bo4b<br /> 2o$18b2o3bobo6bo$23b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 35 ]]<br /> |caption = p70 [[century]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = rauccisp74<br /> |position = left<br /> |viewerconfig = #C [[ GPS 37 ]]<br /> |caption = [[Raucci's p74]]<br /> }}<br /> |{{EmbedViewer<br /> |pname = p74honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 37 ]]<br /> |caption = p74 honey farm hassler, stabilized by two [[Beluchenko's other p37]]s.&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> b2o$2bo$bo$b2o6b2o6bobo2bobo$3bo4bo2bob2obo2bo2bo2bob2o$b4o12bobo2bobo<br /> $o$2o4bo3bobo$6b4obo2$10b2o$10b2o3b2o2$6b4obo32b2o$2o4bo3bobo6b3o22bo$<br /> o18bobo23bo$b4o13bo2bo4b3o7b2o6b2o$3bo4bo2bo6bobo5bobo6bo2bo4bo$b2o6b<br /> 2o7b3o4bo2bo13b4o$bo23bobo18bo$2bo22b3o6bobo3bo4b2o$b2o32bob4o2$30b2o<br /> 3b2o$35b2o2$35bob4o$34bobo3bo4b2o$46bo$22bobo2bobo12b4o$18b2obo2bo2bo<br /> 2bob2obo2bo4bo$22bobo2bobo6b2o6b2o$45bo$44bo$44b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 38 ]]<br /> |caption = p75 LOM hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p76pihassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 38 ]]<br /> |caption = [[p76 pi-heptomino hassler]]<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 36b2o10b2o$36bo12bo$34bobo12bobo$34b2o14b2o$10bo64bo$4bo4bobo62bobo4bo<br /> $4b3o2bobo62bobo2b3o$7bobob2o60b2obobo$4b2obobo2bo60bo2bobob2o$4bo4bob<br /> o62bobo4bo$5b3obobo18b2o22b2o18bobob3o$2o2b2obobobo12b2o4bobo20bobo4b<br /> 2o12bobobob2o2b2o$o4bobobobo14bo5bo20bo5bo14bobobobo4bo$b3obobo4bo11b<br /> 2o4bobo20bobo4b2o11bo4bobob3o$6bo2bob2o17b2o22b2o17b2obo2bo$b4obob2obo<br /> 62bob2obob4o$bo2bobobo2bo62bo2bobobo2bo$5bo3b2o64b2o3bo9$5bo3b2o64b2o<br /> 3bo$bo2bobobo2bo62bo2bobobo2bo$b4obob2obo62bob2obob4o$6bo2bob2o17b2o<br /> 22b2o17b2obo2bo$b3obobo4bo11b2o4bobo20bobo4b2o11bo4bobob3o$o4bobobobo<br /> 14bo5bo20bo5bo14bobobobo4bo$2o2b2obobobo12b2o4bobo20bobo4b2o12bobobob<br /> 2o2b2o$5b3obobo18b2o22b2o18bobob3o$4bo4bobo62bobo4bo$4b2obobo2bo60bo2b<br /> obob2o$7bobob2o60b2obobo$4b3o2bobo62bobo2b3o$4bo4bobo62bobo4bo$10bo64b<br /> o$34b2o14b2o$34bobo12bobo$36bo12bo$36b2o10b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 42 ]]<br /> |caption = p84 [[pi-heptomino]] hassler<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 23b2o$23bo2bo3$b2o5b2o13bob2o9b2o5b2o$b2o5b2o8b2o2bobo7bo3b2o5b2o$18bo<br /> 4bo6b3o$22bo6bo$3o5b3o8bo2bo6b2o4b3o5b3o$obo5bobo24bobo5bobo$o2bo3bo2b<br /> o24bo2bo3bo2bo$b2o5b2o26b2o5b2o$2b2o3b2o28b2o3b2o4$17b3o6b3o$b2o5b2o7b<br /> obo6bobo7b2o5b2o$b2o5b2o7b3o6b3o7b2o5b2o5$b2o5b2o7b3o6b3o7b2o5b2o$b2o<br /> 5b2o7bobo6bobo7b2o5b2o$17b3o6b3o4$2b2o3b2o28b2o3b2o$b2o5b2o26b2o5b2o$o<br /> 2bo3bo2bo24bo2bo3bo2bo$obo5bobo24bobo5bobo$3o5b3o8bo2bo6b2o4b3o5b3o$<br /> 22bo6bo$18bo4bo6b3o$b2o5b2o8b2o2bobo7bo3b2o5b2o$b2o5b2o13bob2o9b2o5b2o<br /> 3$23bo2bo$23b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 42 ]]<br /> |caption = p84 [[interchange]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 12b2o20b2o$8b2obo2bob2o12b2obo2bob2o$6bo2bob4obo14bob4obo2bo$6b2obo2b<br /> 2o4bo10bo4b2o2bob2o$9bo7b2o4b2o4b2o7bo$9b2o3b2o7b2o7b2o3b2o$12b3o18b3o<br /> $9b4obo2bo12bo2bob4o$9bo5b3o2b8o2b3o5bo$11bobo5bo8bo5bobo$10b2obo20bob<br /> 2o2$23b2o8$17bobo$17bobo$17b3o6$17b2o2$4b2obo20bob2o$5bobo5bo8bo5bobo$<br /> 3bo5b3o2b8o2b3o5bo$3b4obo2bo12bo2bob4o$6b3o18b3o$3b2o3b2o7b2o7b2o3b2o$<br /> 3bo7b2o4b2o4b2o7bo$2obo2b2o4bo10bo4b2o2bob2o$o2bob4obo14bob4obo2bo$2b<br /> 2obo2bob2o12b2obo2bob2o$6b2o20b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 48 ]]<br /> |caption = p96 pi-heptomino hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p96honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 48 ]]<br /> |caption = p96 honey farm shuttle, reduced by Matthias Merzenich<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p100honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 50 ]]<br /> |caption = p100 honey farm hassler, reduced by JP21&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 16b2o66b2o$17bo67bo$16bo12b2o53bo12b2o$16b2o5bo5bo54b2o5bo5bo$19b2obob<br /> o5bo56b2obobo5bo$14b5obobobo4b2o51b5obobobo4b2o$13bo4bobobobob2o53bo4b<br /> obobobob2o$14b3ob2ob2obobob5o49b3ob2ob2obobob5o$16bobo5bobobo4bo50bobo<br /> 5bobobo4bo$17bo6b2ob2ob3o52bo6b2ob2ob3o$28bobo65bobo$29bo67bo3$22b2o7b<br /> 2o57b2o7b2o$22b2o7b2o57b2o7b2o$4bo59b2ob2o$2b2obo59bobobo$bo63bobobo$o<br /> bo2bo56b2obo2b3o$o2bo59bobo3b2o$b2o60bob2o3bo$64bo3b2o$26b3o12b2o22b3o<br /> 26b3o12b2o$25bo3bo11b2o24bo25bo3bo11b2o$25b2ob2o63b2ob2o5$25b2ob2o63b<br /> 2ob2o$25bo3bo11b2o24bo25bo3bo11b2o$26b3o12b2o22b3o26b3o12b2o$64bo3b2o$<br /> b2o60bob2o3bo$o2bo59bobo3b2o$obo2bo56b2obo2b3o$bo63bobobo$2b2obo59bobo<br /> bo$4bo59b2ob2o$22b2o7b2o57b2o7b2o$22b2o7b2o57b2o7b2o3$29bo67bo$28bobo<br /> 65bobo$17bo6b2ob2ob3o52bo6b2ob2ob3o$16bobo5bobobo4bo50bobo5bobobo4bo$<br /> 14b3ob2ob2obobob5o49b3ob2ob2obobob5o$13bo4bobobobob2o53bo4bobobobob2o$<br /> 14b5obobobo4b2o51b5obobobo4b2o$19b2obobo5bo56b2obobo5bo$16b2o5bo5bo54b<br /> 2o5bo5bo$16bo12b2o53bo12b2o$17bo67bo$16b2o66b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 50 ]]<br /> |caption = A p100 based on the [[p50 pi-heptomino hassler]]&lt;br/&gt; and a 44 → 88 period-doubling reaction that seems to have gone unnoticed,&lt;br/&gt; and a related p150.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 12b2o9b2o$12bo11bo$9b2obo11bob2o$9bo2b3o7b3o2bo$10b2o3b2o3b2o3b2o$12b<br /> 2obo5bob2o$6bo5bob2o5b2obo5bo$5bobo7bo5bo7bobo$5bobo21bobo$ob2obob2o<br /> 19b2obob2obo$2obobo3bo9bo7bo3bobob2o$5b5o8bobo6b5o$4bo3bo8bo2bo7bo3bo$<br /> 4b5o8b3o8b5o$8bo9bo9bo$4b4o21b4o$3bo29bo$4b4o21b4o$8bo9bo9bo$4b5o8b3o<br /> 8b5o$4bo3bo7bo2bo8bo3bo$5b5o6bobo8b5o$2obobo3bo7bo9bo3bobob2o$ob2obob<br /> 2o19b2obob2obo$5bobo21bobo$5bobo7bo5bo7bobo$6bo5bob2o5b2obo5bo$12b2obo<br /> 5bob2o$10b2o3b2o3b2o3b2o$9bo2b3o7b3o2bo$9b2obo11bob2o$12bo11bo$12b2o9b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 50 ]]<br /> |caption = p100 wing hassler, co-discovered with Dongook Lee&lt;br/&gt; and reduced by Extrementhusiast&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = period117gun<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = [[Period-117 glider gun]]<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 33b2o$31bob2o$30bo$22bo10bo$20b2obo5b2obo$19bo9b2o$18bobo2bo$18bo2bo$<br /> 19b2o10$28b3o21b2o$27bo3bo19bo2bo$27b2ob2o19bobobo$52bo2bo$56bo$53bobo<br /> 2$2o$2obo$4bo34b2o$bo17b2o18bobo$2bob2o12bobo20bo12b2o$4b2o12bo20bobo<br /> 12b2obo$18bobo18b2o17bo$19b2o34bo$56bob2o$58b2o2$4bobo$3bo$4bo2bo$4bob<br /> obo19b2ob2o$5bo2bo19bo3bo$6b2o21b3o10$39b2o$38bo2bo$36bo2bobo$29b2o9bo<br /> $27bob2o5bob2o$26bo10bo$29bo$25b2obo$25b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p120 [[pi-heptomino]] hassler. Co-discovered with MathAndCode.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = p126piheptominohassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p126 [[pi-heptomino]] hassler,&lt;br/&gt; co-discovered with praosylen and Matthias Merzenich&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 119bo$118bobo$118bobo$117b2ob3o$22b2o7b2o51b2o37bo$22b2o7b2o50b4o16bo<br /> 7b2o4b2ob3o$82bo2bobo15b3o5b2o4b2obo$5b2o22b6o20b2o24bobo2b2o7b2o9bo$<br /> 5bo2b2o19bo2bo2bo19bo2b2o20bobo12bo2b2o5b2o$6bobobo23bo21bobobo18b2o<br /> 15bobobo$5b2obo2bo18bobo2b3o17b2obo2bo17b3o13b2obo2bo$4bo3b3o19b5o2bo<br /> 16bo3b3o19bobo11bo3b3o$5b4obo19bo3bo20b4obo20b2o12b4obo$2b3o3b2o21b2ob<br /> obo15b3o3b2o32b3o3b2o$2bo2bob2obo21bo2b2o15bo2bob2obo31bo2bob2obo$5bo<br /> 3bo10b3o7bobo22bo3bo10b3o22bo3bo10b3o$6bob3o11bo7b2o24bob3o11bo23bob3o<br /> 11bo$3b3o3b2o9b3o30b3o3b2o9b3o20b3o3b2o9b3o$3bo5b2o16b2o5bo18bo5b2o16b<br /> 2o5bo8bo5b2o16b2o5bo$27b2o3b3o42b2o3b3o32b2o3b3o$6b2o19b3obo45b3obo35b<br /> 3obo$5bobo20bo3bo45bo3bo35bo3bo$b2o2bo21bob2obo2bo41bob2obo2bo31bob2ob<br /> o2bo$bobob2o21b2o3b3o42b2o3b3o32b2o3b3o$3bo3bo19bob4o22b2o10bo9bob4o<br /> 34bob4o$o2b5o19b3o3bo21b2o10bo9b3o3bo33b3o3bo$3o2bobo18bo2bob2o34bo8bo<br /> 2bob2o33bo2bob2o$3bo23bobobo24bo20bobobo35bobobo$2bo2bo2bo19b2o2bo22bo<br /> bo20b2o2bo28b2o5b2o2bo$3b6o22b2o17b2o2bo2bo7bo15b2o28bo9b2o$50b2obo10b<br /> obo30bob2o4b2o5b3o$5b2o7b2o38b2o7bo3bo27b3ob2o4b2o7bo$5b2o7b2o49b2o27b<br /> o$95b3ob2o$97bobo$97bobo$98bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p126 [[pi-heptomino]] shuttle, with three different stabilizations.&lt;br/&gt; Last one found by iNoMed.&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 41bo$39b3o$38bo$33b2o4bo$33b3ob2obo$33b2obobobo$39bo$36b3o$35b3o$35b3o<br /> $35b3o$36bo2$45bo$45b2ob2o$23bo22bobobo$23bo21b2ob2o$23bo23b2o$46b3obo<br /> $42b3o4bob2o3$29b3o$29bobo$21bobo5bobo$21bobo$21b3o3$2obo4b3o$2bob3o$<br /> 4b2o23bo$3b2ob2o21bo$2bobobo22bo$3b2ob2o$7bo2$16bo$15b3o$15b3o$15b3o$<br /> 14b3o$13bo$12bobobob2o$12bob2ob3o$13bo4b2o$14bo$11b3o$11bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p128 [[pi-heptomino]] hassler<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 8b4o$7bo7b2o$7bo3b2o2b2o$8bo2b2o4$31b2o$30bo2bo$29bo2bo$29bo6bo$28bo2b<br /> o3bobo$29b3o3b2o$5b2o9b3o$4bo2bo8bobo10b3o3b2o$5bo2bo6bo2bo9bo2bo3bobo<br /> $bo6bo6bobo11bo6bo$obo3bo2bo6bo12bo2bo$b2o3b3o21bo2bo$31b2o$b2o3b3o$ob<br /> o3bo2bo$bo6bo$5bo2bo$4bo2bo$5b2o4$25b2o2bo$21b2o2b2o3bo$21b2o7bo$26b4o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p128 [[wing]] shuttle<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |rle =<br /> 4b2o$5bo23bo$5bobo21b3o6b2o$6b2o2b2o20bo5b2o$10b2o19b2o3$12bo$5bo5b2o$<br /> 5bobo2b2o$5bo2bob2ob3o$o5b3o3bo3bo13b3o23b2o$3o5bo4bo2bo13bo2b2o21bo$<br /> 3bo9bo2b3o11b2o2bo22bo$2bobo5b6ob3o12b3o21b2o$2b2o7b2o4b2o$63b2o$2b2o<br /> 59bo$2bo61bo$3bo59b2o$2b2o$48b2o4b2o7b2o$9b2o21b3o12b3ob6o5bobo$9bo22b<br /> o2b2o11b3o2bo9bo$10bo21b2o2bo13bo2bo4bo5b3o$9b2o23b3o13bo3bo3b3o5bo$<br /> 51b3ob2obo2bo$55b2o2bobo$54b2o5bo$54bo3$34b2o19b2o$27b2o5bo20b2o2b2o$<br /> 27b2o6b3o21bobo$37bo23bo$61b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p138 LOM hassler<br /> }}<br /> |{{EmbedViewer<br /> |pname = p147honeyfarmhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p147 honey farm hassler, reduced by EvinZL&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |rle = <br /> 25b2o$21b2obobo$22bobo$22bo2bo$21b2obobob2ob2o$20bo3b2o3bobo$21b3o5bo<br /> bo$24b5obo$21b2o$20bob2o2b7o$20bo12bo$21b3ob4ob3o$23b8o7$13b2o$14bo$8b<br /> 2o4bobo$8b2o5b2o$52b2o$52b2o$8bo$2ob2o2b3o$2o6bobo3b2o$bo2b2o3b3o2b2o<br /> $3bo6bo2$8bo$8bobo$7bo2bo$27bobo$8b3o16bobo$9b2o16b3o11$47b3o16b2o$47b<br /> obo16b3o$47bobo$66bo2bo$66bobo$68bo2$66bo6bo$61b2o2b3o3b2o2bo$61b2o3b<br /> obo6b2o$67b3o2b2ob2o$68bo$23b2o$23b2o$60b2o5b2o$60bobo4b2o$62bo$62b2o<br /> 7$46b8o$44b3ob4ob3o$43bo12bo$44b7o2b2obo$54b2o$46bob5o$45bobo5b3o$45b<br /> obo3b2o3bo$44b2ob2obobob2o$51bo2bo$52bobo$50bobob2o$50b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p156 pi-heptomino hassler, co-discovered with MathAndCode&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p196pihassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = [[p196 pi-heptomino hassler]]. Co-discovered with [[praosylen]].&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |pname = rauccisp217<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = [[Raucci's p217]]<br /> }}<br /> |{{EmbedViewer<br /> |pname = p486hasslerpopulation<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = [[p486 R-pentomino hassler]]<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |pname = p576rhassler<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = [[p576 R-pentomino hassler]]<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 2b2o$bobo$3o18b2o10b2o$2o18bo2bo2b4o2bo2bo$3b2o15b3o2b6o2b3o$2b3o18b<br /> 10o8bo$22bo10bo5b5o$8b2o12b2o8b2o2bobo5bo$2b2o4b2o26b2ob2ob2obo2bo$2b<br /> 2o35bobobob4o$39bobo$40bo2b6o$11b3o35bo$11bo30bo2b3obo$13bo25bo2bo2bob<br /> 2o$12b2o12b3o10bo2bo$13b2o13bo10bo2b2o$12bo2bo9bo16b3o$14bo10bobo$7b2o<br /> b2o14bo$2b2o4b2ob3o$2bobo6b3o$3b3o$4b2o10bobo$b2o13bo2bo$b3o12bo2bo$<br /> 17bobo$18bo$2b2o10b2o7b2o$2b2o11bo7bo$12b3o9b3o$12bo13bo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 60 ]]<br /> |caption = p1368 LCM(72,76) loaf flipper<br /> }}<br /> |}<br /> == Period-agnostic ==<br /> {|<br /> |{{EmbedViewer<br /> |rle =<br /> 23b2o6bo$23bo6bobo49b2o6bo$15b2o3b2obo7bo50b2o5b2o$15bo4bobo64b2o2bo$<br /> 16b3obo16b2o48b2o$18bob2o13b2o2bo47b2o2bob2o$35b2ob2o48bo2b2obo$24bo<br /> 10b2ob2o52b2o$22b2ob2o10bo49b2o$22b2ob2o59bob2o2bo$22bo2b2o13b2obo33b<br /> 2o7b2obo2b2o$23b2o16bob3o31bobo12b2o$39bobo4bo33bo8bo2b2o$10bo3bo15bo<br /> 7bob2o3b2o31b2obo8b2o5b2o$7bobobobobobo11bobo6bo34b4o2bobo8bo6b2o$6bo<br /> 2bobobobo2bo11bo6b2o34b6o2b2o$7bo3bobo3bo59bo3bo2bo$7bo3bobo3bo64bobo$<br /> 7bo2bo3bo2bo59bo3bo2bo$8b2o5b2o56b6o2b2o5b2o$22b3o48b4o2bobo6b2o$78b2o<br /> bo$8b2o5b2o5bo2bo5b2o5b2o40bo7bo$8b2o5b2o5bo2bo5b2o5b2o37bobo8bo12b2o$<br /> 77b2o12bo8bobo$23b3o65bo7bo$31b2o5b2o58bob2o$30bo2bo3bo2bo49b2o6bobo2b<br /> 4o$30bo3bobo3bo49b2o5b2o2b6o$30bo3bobo3bo54bo2bo3bo$9b2o6bo11bo2bobobo<br /> bo2bo53bobo$9bo6bobo11bobobobobobo54bo2bo3bo$b2o3b2obo7bo15bo3bo59b2o<br /> 2b6o$bo4bobo72b2o6bo8bobo2b4o$2b3obo16b2o56b2o5b2o8bob2o$4bob2o13b2o2b<br /> o60b2o2bo8bo$21b2ob2o29b2o29b2o12bobo$10bo10b2ob2o29bobo28b2o2bob2o7b<br /> 2o$8b2ob2o10bo28b2obobo29bo2b2obo$8b2ob2o39bobobo34b2o$8bo2b2o13b2obo<br /> 24bo31b2o$9b2o16bob3o21b2o30bob2o2bo$25bobo4bo19b3o30b2obo2b2o$16bo7bo<br /> b2o3b2o19b3o8bobo25b2o$15bobo6bo27b3o8bobo22bo2b2o$16bo6b2o27b3o8b3o<br /> 23b2o5b2o$53b2o34bo6b2o$54bo$52bobobo$52b2obobo$55bobo$55b2o5$72b2o$<br /> 71bobo$71bobob2o$72bobobo$74bo$74b2o$63b3o8b3o$63bobo8b3o$63bobo8b3o$<br /> 74b3o$74b2o$40b2o32bo$11b2o27bobo29bobobo$11bobo28b3o26bobob2o$13bo27b<br /> o3bo25bobo41bo$9b4ob2o2b2o21b3o2bo2bo5b2o15b2o39bo2bo$9bo2bobobo2bo26b<br /> ob2o4bo2bo38b2o7bo6bo5bo$7b2o2b2obob2o23b3o2bo2bo5b2o40bo6bobo4bo6bo$<br /> 6bo2b2o2b2obo24bo3bo26b2o23bobo11bo2bo$5bob2o2b2obobo25b3o26bobo24b2o<br /> 3bo2bo3bobo$5bo3b2o4bo24bobo26b3o31b2o3bobo2b2ob2o$6b3obob3o25b2o26bo<br /> 3bo28b2ob2o2bobo3b2o$8bo3bo44b2o5bo2bo2b3o33bobo3bo2bo3b2o$56bo2bo4b2o<br /> bo36bo2bo11bobo$10bo29b2o15b2o5bo2bo2b3o21b2o4bo6bo4bobo6bo$10bo29bobo<br /> 25bo3bo22bo4bo5bo6bo7b2o$16b2o19b2obobo26b3o23bobo4bo2bo$8b2o6b2o19bob<br /> obo29bobo22b2o5bo$2b2o3bo2bo5b2o21bo32b2o$2b2o4b2o7bo20b2o61b2o$16bobo<br /> 18b3o60bo2bo$15b2obo18b3o8bobo45b2o3b2o$bob2o32b3o8bobo44bobo$bobo33b<br /> 3o8b3o44bo14b2o$2bo7b2o4b2o20b2o54b2o14bo$2b2o5bo2bo3b2o21bo68bobo$2b<br /> 2o6b2o25bobobo61b2o3b2o$2b2o33b2obobo59bo2bo$9bo30bobo60b2o$9bo30b2o$<br /> 102bo5b2o$7bo3bo88bo2bo4bobo$5b3obob3o69b2o7bo6bo5bo4bo$4bo4b2o3bo69bo<br /> 6bobo4bo6bo4b2o$3bobob2o2b2obo42b2o25bobo11bo2bo$3bob2o2b2o2bo42bobo<br /> 26b2o3bo2bo3bobo$2b2obob2o2b2o43bobob2o28b2o3bobo2b2ob2o$o2bobobo2bo<br /> 46bobobo26b2ob2o2bobo3b2o$2o2b2ob4o48bo33bobo3bo2bo3b2o$6bo52b2o30bo2b<br /> o11bobo$6bobo39b3o8b3o25bo6bo4bobo6bo$7b2o39bobo8b3o25bo5bo6bo7b2o$48b<br /> obo8b3o27bo2bo$59b3o28bo$59b2o$59bo$57bobobo$56bobob2o$56bobo$57b2o!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 20 ]]<br /> |caption = Variants on a period-agnostic R-pentomino reaction.<br /> }}<br /> |{{EmbedViewer<br /> |rle =<br /> 10bobo$7bo2b2obo2b2o$7b3o3bo3bo$11b2ob3o$9b2obobo$9bo2b2o$10bobo$7b3o<br /> 42bo3bo3bo3bo$7bo2b2o6b2o32bo2bobobobo2bo$8bobobo5bo37b2ob2o$7b2obo2b<br /> 4obo$7bo2b2o2bobob2o33bo2b2ob2o2bo8b2o$8b2o2bobobo7b2o5b2o19bobo7bobo<br /> 5b2obo$10b5ob4o4b2o5b2o20b2ob2ob2ob2o5bo2bo$10bo4bo4bo32b2o2bobo2b2o5b<br /> o2bo4bo$11b3obob3o35bobobobo7bo2bo3bobo$13b5o38bo3bo9b3o3b2o$25bo5bo$<br /> 24b2o5b2o37b3o3b2o$2b2o5b2o12b2obo3bob2o35bo2bo3bobo$2b2o5b2o11b2o2bo<br /> 3bo2b2o18b2o7bo6bo2bo4bo$2b2o5b2o6b2o3b2ob2o3b2ob2o18bob2o4bobo5bo2bo$<br /> 2bo7bo5bo2bo2b2ob2o3b2ob2o19bo2bo3bo2bo5b2obo$2ob2o3b2ob2o4bobo4bo7bo<br /> 16bo4bo2bo4b2o8b2o$2ob2o3b2ob2o5bo5b2o5b2o15bobo3bo2bo$2o2bo3bo2b2o11b<br /> 2o5b2o16b2o3b3o$b2obo3bob2o12b2o5b2o$2b2o5b2o38b2o3b3o9bo3bo$3bo5bo38b<br /> obo3bo2bo7bobobobo$17b5o27bo4bo2bo5b2o2bobo2b2o$15b3obob3o30bo2bo5b2ob<br /> 2ob2ob2o$14bo4bo4bo28bob2o5bobo7bobo$2b2o5b2o4b4ob5o28b2o8bo2b2ob2o2bo<br /> $2b2o5b2o7bobobo2b2o$15b2obobo2b2o2bo38b2ob2o$16bob4o2bob2o34bo2bobobo<br /> bo2bo$16bo5bobobo35bo3bo3bo3bo$15b2o6b2o2bo$25b3o$22bobo$21b2o2bo$20bo<br /> bob2o$18b3ob2o$17bo3bo3b3o$17b2o2bob2o2bo$22bobo!<br /> |position = left<br /> |viewerconfig = #C [[ GPS 15 ]]<br /> |caption = A period-agnostic loaf-flipping reaction; shown here are p28 and p32.<br /> }}<br /> |}</div>

Praosylen https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=86234 2021-12-20T20:30:59Z

<p>Praosylen: that I accidentally hit &quot;enter&quot; before I could finish my sentence, which would have ended with &quot;that I fall under it&quot;.</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> For green status, an oscillator must have a cell that<br /> oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt;<br /> means that the only known examples contain<br /> no cells that oscillate at the full period.<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=#ffa0a0&gt;19&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=#ffff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieveswithtesttubebaby.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=#ffa0a0&gt;38&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=#ffa0a0&gt;41&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/osc-p43+.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 /> 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|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_glider_shuttle|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 [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 /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! P<br /> ! Normal<br /> ! Volatile<br /> ! Strictly volatile<br /> |- align=center valign=center<br /> | 1<br /> | style=&quot;background-color:#c6efce&quot; | [[block|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[block|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[block|4]]<br /> |- align=center valign=center<br /> | 2<br /> | style=&quot;background-color:#c6efce&quot; | [[blinker|3]]<br /> | style=&quot;background-color:#c6efce&quot; | [[phoenix 1|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[phoenix 1|12]]<br /> |- align=center valign=center<br /> | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[caterer|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p3|140]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p3|140]]<br /> |- align=center valign=center<br /> | 4<br /> | style=&quot;background-color:#c6efce&quot; | [[mold|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[mazing|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Strictly volatile p4|416]]<br /> |- align=center valign=center<br /> | 5<br /> | style=&quot;background-color:#c6efce&quot; | [[pseudo-barberpole|15]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p5|68]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p5|68]]<br /> |- align=center valign=center<br /> | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[unix|16]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p6|36]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless_p6#Strictly_volatile_variant|52]]<br /> |- align=center valign=center<br /> | 7<br /> | style=&quot;background-color:#c6efce&quot; | [[burloaferimeter|28]]<br /> | style=&quot;background-color:#ffc7ce&quot; | No<br /> | style=&quot;background-color:#ffc7ce&quot; | No<br /> |- align=center valign=center<br /> | 8<br /> | style=&quot;background-color:#c6efce&quot; | [[figure eight|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[figure eight|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[figure eight|12]]<br /> |- align=center valign=center<br /> | 9<br /> | style=&quot;background-color:#c6efce&quot; | [[29P9|29]]<br /> | style=&quot;background-color:#ffc7ce&quot; | No<br /> | style=&quot;background-color:#ffc7ce&quot; | No<br /> |}<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=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&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=#ffa0a0&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=#ffff80&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=#ffa0a0&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=#ffa0a0&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=#ffa0a0&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 /> 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: Many of the links in this table 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=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;18&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;[https://catagolue.hatsya.com/object/guntrue_20/b3s23 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_21/b3s23 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_22/b3s23 22]&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;[https://catagolue.hatsya.com/object/guntrue_24/b3s23 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_28/b3s23 28]&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;[https://catagolue.hatsya.com/object/guntrue_30/b3s23 30]&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;[https://catagolue.hatsya.com/object/guntrue_32/b3s23 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_33/b3s23 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_36/b3s23 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;37&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;[https://catagolue.hatsya.com/object/guntrue_40/b3s23 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_42/b3s23 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_44/b3s23 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_45/b3s23 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_46/b3s23 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_48/b3s23 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;[https://catagolue.hatsya.com/object/guntrue_49/b3s23 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_50/b3s23 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_51/b3s23 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_52/b3s23 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_54/b3s23 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_55/b3s23 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_56/b3s23 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_57/b3s23 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_58/b3s23 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_59/b3s23 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_60/b3s23 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;[https://catagolue.hatsya.com/object/guntrue_61/b3s23 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_62/b3s23 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_63/b3s23 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_64/b3s23 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_65/b3s23 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_66/b3s23 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_67/b3s23 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_68/b3s23 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_69/b3s23 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_70/b3s23 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_71/b3s23 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_72/b3s23 72]&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;[https://catagolue.hatsya.com/object/guntrue_73/b3s23 73]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_74/b3s23 74]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_75/b3s23 75]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_76/b3s23 76]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_77/b3s23 77]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_78/b3s23 78]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_79/b3s23 79]&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 /> 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 ['thunk', 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=#ffa0a0&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&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=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&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 and related 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<br /> no factor is common to<br /> all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.)<br /> P is therefore the minimum possible period<br /> for that velocity; X and Y are the (average) number of cells moved <br /> horizontally and vertically in P generations. The slope (direction)<br /> is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and<br /> no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a<br /> clean glider rake with the gliders traveling in any of<br /> the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call.<br /> For this table, the wick is required to be reasonably closely connected in all<br /> phases, and must in some sense be extended at a single location, rather than<br /> being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which<br /> fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt;<br /> 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=#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/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=#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/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=#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/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=#ffa0a0&gt;No&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=#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;(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;(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;(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=#ffa0a0&gt;No&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<br /> very slowly have been made. The [[Gemini|first such object]] has a velocity of<br /> (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):'''&lt;br&gt;<br /> 18 Sep 2020: [[Speed Demonoid|c/8 diagonal]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[c/8 orthogonal]] spaceship [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[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 /> 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 [Nico 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 [Nico 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<br /> velocity. Periods not possible at any of the known velocities<br /> 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;<br /> examples exist, with no single section that repeats at the full<br /> 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;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&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;~4508, ...&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, 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;320, ...&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;(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;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 /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&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;&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;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:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&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;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;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;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;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;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;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:#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;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:#ffa0a0&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:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&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;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:#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;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 /> &lt;tr&gt;<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 /> &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 /> &lt;tr&gt;<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 /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part <br /> by Paul Tooke. The original method of building p205+10N and p410+5N rakes was <br /> developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later<br /> 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 /> &lt;!--edit something in this comment if you need to leave a note via edit summary without changing anything--&gt;</div>

Praosylen https://conwaylife.com/w/index.php?title=LifeWiki:Game_of_Life_Status_page&diff=86232 2021-12-20T20:28:07Z

<p>Praosylen: not sure what the convention on single quotes here is but I&#039;m pretty sure</p> <hr /> <div><br /> ==Oscillator periods==<br /> <br /> For green status, an oscillator must have a cell that<br /> oscillates at the full period, rather than some smaller factor of that period.<br /> One such cell is sufficient.<br /> <br /> &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt;<br /> means that the only known examples contain<br /> no cells that oscillate at the full period.<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=#ffa0a0&gt;19&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=#ffff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[http://www.conwaylife.com/patterns/honeythieveswithtesttubebaby.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=#ffa0a0&gt;38&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=#ffa0a0&gt;41&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/osc-p43+.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 /> 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|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_glider_shuttle|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 [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 /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |- align=center valign=center<br /> ! P<br /> ! Normal<br /> ! Volatile<br /> ! Strictly volatile<br /> |- align=center valign=center<br /> | 1<br /> | style=&quot;background-color:#c6efce&quot; | [[block|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[block|4]]<br /> | style=&quot;background-color:#c6efce&quot; | [[block|4]]<br /> |- align=center valign=center<br /> | 2<br /> | style=&quot;background-color:#c6efce&quot; | [[blinker|3]]<br /> | style=&quot;background-color:#c6efce&quot; | [[phoenix 1|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[phoenix 1|12]]<br /> |- align=center valign=center<br /> | 3<br /> | style=&quot;background-color:#c6efce&quot; | [[caterer|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p3|140]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p3|140]]<br /> |- align=center valign=center<br /> | 4<br /> | style=&quot;background-color:#c6efce&quot; | [[mold|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[mazing|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Strictly volatile p4|416]]<br /> |- align=center valign=center<br /> | 5<br /> | style=&quot;background-color:#c6efce&quot; | [[pseudo-barberpole|15]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p5|68]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p5|68]]<br /> |- align=center valign=center<br /> | 6<br /> | style=&quot;background-color:#c6efce&quot; | [[unix|16]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless p6|36]]<br /> | style=&quot;background-color:#c6efce&quot; | [[Statorless_p6#Strictly_volatile_variant|52]]<br /> |- align=center valign=center<br /> | 7<br /> | style=&quot;background-color:#c6efce&quot; | [[burloaferimeter|28]]<br /> | style=&quot;background-color:#ffc7ce&quot; | No<br /> | style=&quot;background-color:#ffc7ce&quot; | No<br /> |- align=center valign=center<br /> | 8<br /> | style=&quot;background-color:#c6efce&quot; | [[figure eight|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[figure eight|12]]<br /> | style=&quot;background-color:#c6efce&quot; | [[figure eight|12]]<br /> |- align=center valign=center<br /> | 9<br /> | style=&quot;background-color:#c6efce&quot; | [[29P9|29]]<br /> | style=&quot;background-color:#ffc7ce&quot; | No<br /> | style=&quot;background-color:#ffc7ce&quot; | No<br /> |}<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=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&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=#ffa0a0&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=#ffff80&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=#ffa0a0&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=#ffa0a0&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=#ffa0a0&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 /> 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: Many of the links in this table 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=#ffa0a0&gt;14&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;15&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;18&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;[https://catagolue.hatsya.com/object/guntrue_20/b3s23 20]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_21/b3s23 21]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_22/b3s23 22]&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;[https://catagolue.hatsya.com/object/guntrue_24/b3s23 24]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;25&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;26&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;27&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_28/b3s23 28]&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;[https://catagolue.hatsya.com/object/guntrue_30/b3s23 30]&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;[https://catagolue.hatsya.com/object/guntrue_32/b3s23 32]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_33/b3s23 33]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;34&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;35&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_36/b3s23 36]&lt;/span&gt;&lt;/td&gt;<br /> &lt;/tr&gt;&lt;tr&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;37&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;[https://catagolue.hatsya.com/object/guntrue_40/b3s23 40]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;41&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_42/b3s23 42]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;43&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_44/b3s23 44]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_45/b3s23 45]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_46/b3s23 46]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;47&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_48/b3s23 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;[https://catagolue.hatsya.com/object/guntrue_49/b3s23 49]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_50/b3s23 50]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_51/b3s23 51]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_52/b3s23 52]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&gt;53&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_54/b3s23 54]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_55/b3s23 55]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_56/b3s23 56]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_57/b3s23 57]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_58/b3s23 58]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_59/b3s23 59]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_60/b3s23 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;[https://catagolue.hatsya.com/object/guntrue_61/b3s23 61]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_62/b3s23 62]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_63/b3s23 63]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_64/b3s23 64]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_65/b3s23 65]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_66/b3s23 66]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_67/b3s23 67]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_68/b3s23 68]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_69/b3s23 69]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_70/b3s23 70]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_71/b3s23 71]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_72/b3s23 72]&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;[https://catagolue.hatsya.com/object/guntrue_73/b3s23 73]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_74/b3s23 74]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_75/b3s23 75]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_76/b3s23 76]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_77/b3s23 77]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_78/b3s23 78]&lt;/span&gt;&lt;/td&gt;<br /> &lt;td bgcolor=#80ff80&gt;&lt;span class=&quot;plainlinks&quot;&gt;[https://catagolue.hatsya.com/object/guntrue_79/b3s23 79]&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 /> 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 ['thunk', 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=#ffa0a0&gt;16&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&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=#ffa0a0&gt;17&lt;/td&gt;<br /> &lt;td bgcolor=#ffa0a0&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 and related 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<br /> no factor is common to<br /> all of X, Y, and P. (c is the &quot;speed of light&quot;: 1 cell/generation.)<br /> P is therefore the minimum possible period<br /> for that velocity; X and Y are the (average) number of cells moved <br /> horizontally and vertically in P generations. The slope (direction)<br /> is Y/X, and the speed is Xc/P.<br /> <br /> For example, (2,0)c/5 indicates movement of 2 cells horizontally and<br /> no cells vertically every 5 generations.<br /> <br /> &quot;Versatile puffer,&quot; means that for some period, we can build a<br /> clean glider rake with the gliders traveling in any of<br /> the possible directions.<br /> <br /> Whether an object is a &quot;wickstretcher&quot; is to some extent a judgment call.<br /> For this table, the wick is required to be reasonably closely connected in all<br /> phases, and must in some sense be extended at a single location, rather than<br /> being built up slowly from pieces.<br /> <br /> The &quot;Gun?&quot; column indicates whether a gun has been built which<br /> fires spaceships of that velocity. &lt;span style=&quot;background:#ffff80&quot;&gt;Yellow&lt;/span&gt;<br /> 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=#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/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=#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/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=#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/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=#ffa0a0&gt;No&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=#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;(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;(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;(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=#ffa0a0&gt;No&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<br /> very slowly have been made. The [[Gemini|first such object]] has a velocity of<br /> (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):'''&lt;br&gt;<br /> 18 Sep 2020: [[Speed Demonoid|c/8 diagonal]] spaceship [Pavel Grankovskiy, Dave Greene]&lt;br&gt;<br /> Mar 2018: [[(2,1)c/6]] spaceship [Adam P. Goucher, Tomas Rokicki, Josh Ball]&lt;br&gt;<br /> Jun 2016: [[3c/7 orthogonal]] spaceship [Tim Coe]&lt;br&gt;<br /> Apr 2016: [[c/8 orthogonal]] spaceship [Michael Simkin with David Bell, Alexey Nigin]&lt;br&gt;<br /> Mar 2016: [[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 /> 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 [Nico 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 [Nico 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<br /> velocity. Periods not possible at any of the known velocities<br /> 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;<br /> examples exist, with no single section that repeats at the full<br /> 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;#ffa0a0&quot;&gt;16&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;20&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffff80&quot;&gt;24&lt;/td&gt;&lt;td colspan=&quot;3&quot;&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&quot;&gt;28&lt;/td&gt;&lt;td&gt;&amp;nbsp;&lt;/td&gt;<br /> &lt;td bgcolor=&quot;#ffa0a0&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;~4508, ...&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, 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;320, ...&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;(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;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 /> &lt;/table&gt;<br /> <br /> &lt;small&gt;&lt;b&gt;Most recent discoveries, excluding new velocities:&lt;/b&gt;&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;&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;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:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;172:&lt;span style=&quot;background:#ffa0a0&quot;&gt;spr&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;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;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;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;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;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;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:#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;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:#ffa0a0&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:#ffa0a0&quot;&gt;spr&lt;/span&gt;&lt;/td&gt;<br /> &lt;td&gt;120:&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;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:#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;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 /> &lt;tr&gt;<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 /> &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 /> &lt;tr&gt;<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 /> ==2c/5 spaceships, puffers, rakes==<br /> Almost all the 2c/5 technology referred to below was found in whole or in part <br /> by Paul Tooke. The original method of building p205+10N and p410+5N rakes was <br /> developed mostly by David Bell and Jason Summers; Paul Tooke improved it to p200+5N and later<br /> 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]]</div>

Praosylen https://conwaylife.com/w/index.php?title=OCA:Pedestrian_Life&diff=86228 2021-12-20T20:25:11Z

<p>Praosylen: </p> <hr /> <div>{{Rule<br /> |name = Pedestrian Life<br /> |imgname = pedestrianlife<br /> |char = Chaotic<br /> |b = 38<br /> |s = 23<br /> |ruleinteger = 6408<br /> |reversal = B0123478/S1234678<br /> |animated = 1<br /> }}<br /> '''Pedestrian Life''' is a [[Life-like cellular automaton]] in which [[cell]]s survive from one generation to the next if they have 2 or 3 [[neighbours]], and are born if they have 3 or 8 neighbours.<br /> <br /> Many patterns from regular [[Conway's Game of Life|Life]] are compatible with this rule, since the rules differ only in one transition. However, [[traffic light]]s are much less common, as most predecessors tend to die because of the B8 transition, giving the rule its name.&lt;ref name=&quot;post7703&quot; /&gt;<br /> <br /> ==Notable patterns==<br /> <br /> The rule is particularly notable for its plurality of distinct [[natural]] [[linear growth]] mechanisms:<br /> <br /> ===Rotating gun===<br /> <br /> The first is a [[reflectorless rotating oscillator|statorless rotating]] four-[[barrel]]led [[glider gun]], with [[period]] 424 and [[mod]] 106:&lt;ref name=&quot;post7707&quot; /&gt;<br /> <br /> {{EmbedViewer<br /> |pname = pedestrianlifep106gun<br /> |position = center<br /> |caption = The rotating gun&lt;br&gt;<br /> |apgcode = yl106_1_5_f4842a91ffb658737af39134e4680190/b38s23<br /> }}<br /> <br /> ===(5,2)c/190 spaceships and puffers===<br /> <br /> The second is a family of naturally occurring (5,2)c/190 [[oblique spaceship]]s, using [[R-pentomino]]es meshed together similarly to [[switch engine]]s in Life:<br /> <br /> {{EmbedViewer<br /> |pname = pedestrianlifeobliquespaceship<br /> |position = center<br /> |caption = The first (5,2)c/190 oblique spaceship found&lt;br&gt;<br /> |apgcode = xq190_33y1g88gzy133433zyeskszzyjcmm8zyx352/b38s23<br /> |viewerconfig = #C [[ AUTOSTART GPS 10 TRACKLOOP 190 -1/95 -1/38 ]]<br /> }}<br /> {{EmbedViewer<br /> |rle = x = 47, y = 8, rule = B38/S23<br /> 3b2o$2bo2bo$3b2o2$45b2o$2bo42b2o$b3o$2obo!<br /> |viewerconfig = #C [[ ZOOM 8 ]]<br /> |position = center<br /> |caption = The most common variant by far&lt;br&gt;has a simple [[predecessor]] consisting of&lt;br&gt;a [[beehive]]+[[B-heptomino]] collision and some distant junk.&lt;br&gt;<br /> |apgcode = xq190_gs0g0953zz0g29jzgod1j3z03e19gy4cicy1ggzw301w33y5e9901zzx8kc/b38s23<br /> }}<br /> <br /> There are at least 692 variants of these in the simplest form of two engines,&lt;ref name=&quot;post32255&quot; /&gt; including some such as one which deletes and recreates a blinker, resulting in a period of 380.&lt;ref name=&quot;post36797&quot; /&gt; There might be many more two engine ships that is not in this list. Many similar technologies result in puffers, rakes and the like. In 2016, [[Luka Okanishi]] constructed a bootstrapping [[rake]] gun for one of the variants.&lt;ref name=&quot;post30569&quot; /&gt;<br /> <br /> ===31c/589 diagonal puffer===<br /> <br /> The third is a natural 31c/589 diagonally-symmetric [[ark]], which has arisen several times in asymmetric soups. It emits two backward streams of gliders, which can lead to high-[[novelty]] interactions. [https://catagolue.hatsya.com/hashsoup/C1/m_QqTfZV8QwHst4253469/b38s23 One such example] is a 750000-generation [[methuselah]] in which an ark is born and eventually destroyed by a retrograde glider produced from the chaos hassled by the glider streams.<br /> <br /> {{Embedviewer<br /> |position = center<br /> |rle = x = 48, y = 48, rule = B38/S23<br /> 43b3o10$45bo$44bobo$44bo2bo$30bo14b2o$28bobo$28b3o9b2o$28bo11b2o$46bo$46bo$46bo9$14b3o$15bo$13b3o10$15b2o$15b2o2$o$o10b2o$o9bo2bo$11bobo3b3o$12bo!<br /> |caption = the 31c/589 diagonal puffer&lt;br&gt;<br /> |apgcode = yl589_1_136_5e2e36d212c2cbc107ec70e1ffe07409/b38s23<br /> |viewerconfig = #C [[ AUTOSTART GPS 30 TRACKLOOP 1178 -1/19 -1/19 ]]<br /> }}<br /> <br /> ===57c/488 orthogonal puffer===<br /> <br /> There is also a 57c/488 orthogonally-symmetric puffer with interrupted [[queen bee]]s at the front, but that has only arisen in soups with even orthogonal symmetry.<br /> {{EmbedViewer<br /> |position = center<br /> |caption = the 57c/488 orthogonal puffer&lt;br&gt;<br /> |apgcode = yl488_1_158_20a5f05832d374c7a7702cb9282cc534/b38s23<br /> |viewerconfig = #C [[ AUTOSTART GPS 30 TRACKLOOP 976 57/488 0 ]] [[ ZOOM 3 ]]<br /> |rle = x = 166, y = 114, rule = B38/S23<br /> 135bo2bo$13bo56bo63b2ob2o$12bobo54bobo62b2obo$12bobo54bobo64bo$13bo56b<br /> o67bo4$17b3o54b3o3$140bo$140bo$124b2o14bo$124b2o$33b2o55b2o$33b2o55b2o<br /> 2$124b2o$124b2o8b2o$135b2o2$21b3o54b3o54b2o$22b3o3b2o49b3o3b2o47b2o$<br /> 27bobo54bobo37b2o$8b2o18bo36b2o18bo25bo12b2o$7bo2bo53bo2bo42bobo$8b2o<br /> 55b2o42bo2bo$48bo61b2o7b2o16b2o$47bobo69bobo14bobo$47bobo69bo17bo$48bo<br /> 62b2o$110bo2bo14b3o$111b2o14bo$b2o55b2o66bo3bo$o2bo53bo2bo69bo$bobo54b<br /> obo68bobo$2bo56bo66bo5bo$127b2o$130b2o22bo$125bo27b3o$8b2o2b2o51b2o2b<br /> 2o53b3o25b3obo$8b2o2b2o51b2o2b2o53bo2bo23bobo9b2o$124b2ob2o22b2o9bo2bo<br /> $124bo2bo25bo9b2o$8bo56bo57bo3bo28bo$7bobo54bobo57bobo24bo$8b2o55b2o<br /> 58bo24b2o4bo$150b2o$3b2o55b2o90bo2bo$3b2o55b2o90b3o$7b2o55b2o55b3o24b<br /> 2o3bo$7b2o9bo18b2o25b2o9bo18b2o25bobo24b2o$13b2o2bobo17b2o31b2o2bobo<br /> 17b2o25b3o$13b2o3b2o50b2o3b2o2$b2o55b2o55b2o$b2o55b2o55b2o2$13b2o3b2o<br /> 50b2o3b2o$13b2o2bobo17b2o31b2o2bobo17b2o25b3o$7b2o9bo18b2o25b2o9bo18b<br /> 2o25bobo24b2o$7b2o55b2o55b3o24b2o3bo$3b2o55b2o90b3o$3b2o55b2o90bo2bo$<br /> 150b2o$8b2o55b2o58bo24b2o4bo$7bobo54bobo57bobo24bo$8bo56bo57bo3bo28bo$<br /> 124bo2bo25bo9b2o$124b2ob2o22b2o9bo2bo$8b2o2b2o51b2o2b2o53bo2bo23bobo9b<br /> 2o$8b2o2b2o51b2o2b2o53b3o25b3obo$125bo27b3o$130b2o22bo$127b2o$2bo56bo<br /> 66bo5bo$bobo54bobo68bobo$o2bo53bo2bo69bo$b2o55b2o66bo3bo$111b2o14bo$<br /> 110bo2bo14b3o$48bo62b2o$47bobo69bo17bo$47bobo69bobo14bobo$48bo61b2o7b<br /> 2o16b2o$8b2o55b2o42bo2bo$7bo2bo53bo2bo42bobo$8b2o18bo36b2o18bo25bo12b<br /> 2o$27bobo54bobo37b2o$22b3o3b2o49b3o3b2o47b2o$21b3o54b3o54b2o2$135b2o$<br /> 124b2o8b2o$124b2o2$33b2o55b2o$33b2o55b2o$124b2o$124b2o14bo$140bo$140bo<br /> 3$17b3o54b3o4$13bo56bo67bo$12bobo54bobo64bo$12bobo54bobo62b2obo$13bo<br /> 56bo63b2ob2o$135bo2bo!<br /> }}<br /> <br /> ===(101,3)c/1884 oblique puffer===<br /> <br /> {{EmbedViewer<br /> |rle = x = 305, y = 221, rule = B38/S23<br /> 9b2o$9bobo2b2o$10b2ob2o$15bo4$87b2o$87bobo$88b2o2$2o$2o6$78b2o$78b2o<br /> 199$302b2o$302bobo$302bo!<br /> |position = center<br /> |caption = Predecessor for a variant of the puffer&lt;br&gt;<br /> }}<br /> <br /> The fifth is a (101,3)c/1884 puffer consisting of two mutually stabilizing copies of an unstable engine, which is essentially a collision between a glider and a [[ship]]+[[block]] [[constellation]] produced by [[Herschel]].&lt;ref name=&quot;post37183&quot; /&gt; Like the (5,2)c/190 spaceships, the engines can be combined in different ways, and indeed two variants of the puffer have occured naturally. Due to its massive ash trails no spaceships have been derived from it.<br /> <br /> ==Stable circuity==<br /> <br /> A number of stable [[conduit]]s from Life work in this rule. Many [[Herschel conduit]]s but [[Bx125]], [[Fx158]], [[R190]], [[Rx202]], [[Bx222]], [[Bx106]], [[L122]], [[H-to-MWSS]] and the simplest variant of [[Fx119]] function well. [[Snark]], [[semi-Snark]], [[semi-cenark]], [[tremi-Snark]] and [[quadri-Snark]] can be imported as well. On the other hand, [[glider-to-Herschel converter]]s other than [[Callahan G-to-H]] will fail unsalvagably; the initial glider+block reaction used in [[Herschel receiver]], [[syringe]] and [[bronco]] gives an R-pentomino instead of the [[pi-heptomino]].<br /> <br /> The following stable converter was found by forums user EvinZL and improved by [[praosylen]] on July 11, 2021.&lt;ref name=&quot;post133412&quot; /&gt; It accepts an input glider and produces an output R-pentomino 119 generations later as well as an extra 180-degree glider soon. It is considered [[Spartan]] because it is composed of a [[bait]] beehive, a block, a [[tub]] and four [[eater 1]]s. With a [[repeat time]] of 214 generations, it is the fastest known such converter in this rule.<br /> <br /> {{EmbedViewer<br /> |rle = x = 37, y = 75, rule = B38/S23<br /> 15b2o$16bo$16b3o16$17b2o$17b2o7b2o$26bo$24bobo$24b2o$8b2o$9bo$9bobo$<br /> 10b2o5$8bo$7bobo$8bo5$9b2o$9b2o5$18bo$17bo$17b3o2$16bo$15bobo$2o13bobo<br /> $bo14bo$bobo$2b2o2$33b2o$33bobo$35bo$35b2o8$25b2o$25bobo$27bo$11b2o14b<br /> 2o$10bobo$10bo$9b2o5bo$15bobo$16bo!<br /> |position = center<br /> |viewerconfig = #C [[ AUTOSTART ZOOM 8 WIDTH 600 HEIGHT 700 GPS 20 PAUSE 2 T 119 PAUSE 2 T 147 PAUSE 2 T 206 PAUSE 2 LOOP 207 ]]<br /> |caption = The stable G-to-R converter, shown connected to [[RF28B]] and&lt;br&gt;[[BFx59H]]. A [[ghost Herschel]] marks the final output location.&lt;br&gt;<br /> }}<br /> <br /> ==Universality==<br /> The Turing-completeness of Pedestrian Life was mentioned in a poor quality article,&lt;ref&gt;{{cite web|url=http://repositorio.uam.es/bitstream/handle/10486/664759/fine_soler_JGPS_2013_ampl.pdf?sequence=2|title=Fine tuning explained? Multiverses and cellular automata|work=Journal for General Philosophy of Science|author=Francisco José Soler Gil, Manuel Alfonesca|date=July 2013|accessdate=January 21, 2017}}&lt;/ref&gt; but the article failed to list the necessary patterns and reactions inherited from [[Conway's Game of Life]] for creating any kind of pattern that proves universality. The same applies to [[HoneyLife]] and [[EightLife]].<br /> <br /> On November 21, {{year|2017}}, [[Peter Naszvadi]] constructed a [[Rule 110]] [[unit cell]] in Pedestrian Life, proving the rule Turing-complete.&lt;ref name=&quot;post53026&quot; /&gt; The [[polyglot]] pattern is based on eater 1, [[middleweight spaceship]], [[twin bees shuttle]] and [[p46 gliderless MWSS gun]], therefore it also applies to HoneyLife and EightLife. <br /> <br /> There is also an earlier proof sketch of Pedestrian Life's universality. It is on ConwayLife forums,&lt;ref name=&quot;post38167&quot; /&gt; which contains a proof-scheme covering all rules in the [[outer-totalistic]] [[rulespace]] between [[B3/S23]] and B3678/S23678.<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post7703&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 7703<br /> |author = Tropylium<br /> |title = Re: What do you want out of (conway's) life this year?<br /> |date = April 9, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post7707&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 7707<br /> |author = DivusIulius<br /> |title = &lt;nowiki&gt;[B38/S23] Four-directional glider gun&lt;/nowiki&gt;<br /> |date = April 10, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post32255&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 32255<br /> |author = David S. Miller<br /> |title = Re: B38/S23<br /> |date = June 24, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post36797&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 36797<br /> |author = Apple Bottom<br /> |title = Re: Soup search results in rules other than Conway's Life<br /> |date = October 27, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post30569&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 30569<br /> |author = Luka Okanishi<br /> |title = Re: B38/S23<br /> |date = May 2, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post37183&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 37183<br /> |author = Adam P. Goucher<br /> |title = Re: Soup search results in rules other than Conway's Life<br /> |date = November 9, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post53026&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = FWSS-less MWSS-track-only Rule-110 Unit Cell<br /> |p = 53026<br /> |author = Peter Naszvadi<br /> |date = November 21, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post38167&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: List of the Turing-complete totalistic life-like CA<br /> |p = 38167<br /> |author = Peter Naszvadi<br /> |date = December 12, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post133412&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 133412<br /> |author = praosylen<br /> |date = July 11, 2021<br /> |title = Re: B38/S23<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkCatagolueRule|b38s23}}<br /> {{LinkEppsteinRule|b38s23}}<br /> {{LinkForumThread|f=11|t=1661|title=B38/S23}}<br /> * {{cite web|url=https://mathematrec.wordpress.com/2016/07/09/big-and-natural-and-52c190/|title=Big and natural and (5,2)c/190|author=Richard Holmes|date=2016-07-09}}<br /> <br /> [[Category:Pages using linear growth apgcodes]]</div>

Praosylen https://conwaylife.com/w/index.php?title=LifeWiki:Spaceship_Search_Status_Page&diff=86227 2021-12-20T20:24:34Z

<p>Praosylen: this had better not break anything</p> <hr /> <div>== Known spaceships by width ==<br /> <br /> The table below gives the minimum width of the [[envelope]] for spaceships of the specified type. For types where the minimum width is known, references point to the proof of minimality rather than the discovery of the minimum-width ship. A stamp collection of minimum-width ships is given below the table.<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: #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: #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: #80ff80;&quot; | 12&lt;ref&gt;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=400#p43495|title=Re: Spaceship Discussion Thread|author=praosylen|date=May 13, 2017|accessdate=May 24, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 19<br /> | style=&quot;background: #80ff80;&quot; | [[Dragon|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&lt;ref name=&quot;MM4&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 17&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 18&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe5&quot;&gt;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=50#p29960|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 13, 2016|accessdate=April 13, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 19&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #80ff80;&quot; | 18&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;{{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: #ffa0a0;&quot; | 18&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; | 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: #80ff80;&quot; | 10&lt;ref name=&quot;coe8&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=75#p31878|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=June 11, 2016|accessdate=June 11, 2016}}&lt;/ref&gt;&lt;ref name=&quot;MM1&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 19&lt;ref name=&quot;MM1&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 22&lt;ref&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;p=44351#p44351|title=Re: Spaceship Discussion Thread|author=Matthias Merzenich|date=June 14, 2017|accessdate=November 20, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 21&lt;ref name=&quot;coe8&quot;/&gt;&lt;ref name=&quot;MM1&quot;/&gt;<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; | 11&lt;ref&gt;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=600#p57129|title=Re: Spaceship Discussion Thread|author=Tomas Rokicki|date=March 1, 2018|accessdate=March 3, 2018}}&lt;/ref&gt;&lt;ref name=&quot;MM6&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 23&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 18<br /> | style=&quot;background: #ffa0a0;&quot; | 23&lt;ref name=&quot;MM6&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&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;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;p=30124#p30124|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 17, 2016|accessdate=April 17, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 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; | 31&lt;ref name=&quot;coe6&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; | 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; | 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<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&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&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 15&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=50#p30299|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=April 21, 2016|accessdate=April 21, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #80ff80;&quot; | 18&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 17&lt;ref name=&quot;MM2&quot;/&gt;&lt;ref name=&quot;coe7&quot;/&gt;<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; | 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<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&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&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; | 11&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 17&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 20&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 19&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 17<br /> | style=&quot;background: #80ff80;&quot; | 20&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;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=500#p52707|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=November 5, 2017|accessdate=November 20, 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; | 15&lt;ref name=&quot;praosylen3&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: #c0c0c0;&quot; | -<br /> | style=&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;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=250#p38767|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 28, 2016|accessdate=December 29, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 15&lt;ref name=&quot;praosylen2&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=250#p38682|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 25, 2016|accessdate=December 25, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 16&lt;ref name=&quot;praosylen3&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=250#p38728|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 27, 2016|accessdate=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: #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; | 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 /> | (3,0)c/9<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;MM3&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 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; | 21&lt;ref name=&quot;coe6&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 22&lt;ref name=&quot;coe4&quot;&gt;{{cite web|url=http://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=25#p28770|title=Re: Spaceship Discussion Thread|author=Tim Coe|date=March 1, 2016|accessdate=March 24, 2016}}&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;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=275#p39024|title=Re: Spaceship Discussion Thread|author=praosylen|date=January 5, 2017|accessdate=January 16, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 11&lt;ref name=&quot;praosylen5&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 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: #c0c0c0;&quot; | -<br /> | style=&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; | 13&lt;ref name=&quot;coe4&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 14&lt;ref name=&quot;coe4&quot;/&gt;<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: #c0c0c0;&quot; | -<br /> | style=&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&lt;ref name=&quot;AforAmpere2&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=500#p52865|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=November 13, 2017|accessdate=November 20, 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=525#p53546|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=December 10, 2017|accessdate=December 10, 2017}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 18&lt;ref name=&quot;AforAmpere2&quot;/&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=500#p51306|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=November 5, 2017|accessdate=November 20, 2017}}&lt;/ref&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; | 15&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 22&lt;ref name=&quot;MM5&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 21&lt;ref name=&quot;MM2&quot;/&gt;<br /> | style=&quot;background: #80ff80;&quot; | 15&lt;ref name=&quot;coe3&quot;&gt;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1834&amp;start=75#p27167|title=Re: 3c/7 othogonal and 2c/9 diagonal spaceships|author=Tim Coe|date=February 1, 2016|accessdate=March 5, 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: #ffa0a0;&quot; | 19&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: #ffa0a0;&quot; | 19&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;{{cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;start=250#p38671|title=Re: Spaceship Discussion Thread|author=praosylen|date=December 25, 2016|accessdate=December 25, 2016}}&lt;/ref&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 9&lt;ref name=&quot;praosylen1&quot;/&gt;<br /> | style=&quot;background: #ffa0a0;&quot; | 10&lt;ref name=&quot;praosylen1&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: #c0c0c0;&quot; | -<br /> | style=&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&lt;ref name=&quot;praosylen5&quot;/&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: #c0c0c0;&quot; | -<br /> | style=&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: #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 /> | (2,0)c/12<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: #ffa0a0;&quot; | 9&lt;ref name=&quot;codeholic-gfind&quot;&gt;Ivan Fomichev using gfind under OS X 10.9.5&lt;/ref&gt;<br /> | style=&quot;background: #ffffa0;&quot; | ?<br /> |}<br /> <br /> x = 1122, y = 633, rule = B3/S23<br /> 39b3ob3o193b3ob3o209b3o2b4o2b3o220b3ob3o215b3o153b3o4b3o$38bo2bobo2bo<br /> 191bo2bobo2bo207bo3bob4obo3bo218bo2bobo2bo213bo2bo153bo2bo3bo2bo$37bo<br /> 3bobo3bo189bo3bobo3bo205bo6bo2bo6bo216bo3bobo3bo215bo153bo6bo$37bo9bo<br /> 189bo9bo205bo3b2o6b2o3bo216bo9bo215bo153bo6bo$39bo5bo193bo5bo209bo12bo<br /> 220bo5bo214bobo155bobo4bobo$36bobo7bobo187bobo7bobo203bobo14bobo214bob<br /> o7bobo$35b2obob2ob2obob2o185b2obob2ob2obob2o201b2obob2o8b2obob2o212b2o<br /> bob2ob2obob2o$34bobobo2bobo2bobobo183bobobo2bobo2bobobo199bobobob2o8b<br /> 2obobobo210bobobo2bobo2bobobo$33b2obo4bobo4bob2o181b2obo4bobo4bob2o<br /> 197b2o3bo2bo8bo2bo3b2o208b2obo4bobo4bob2o$32bo3bob2obobob2obo3bo179bo<br /> 3bob2obobob2obo3bo195bo3bobo2b2o6b2o2bobo3bo206bo3bob2obobob2obo3bo$<br /> 36bo4bobo4bo187bo4bobo4bo202bo20bo213bo4bobo4bo$32b2o3bo2bo3bo2bo3b2o<br /> 179b2o3bo2bo3bo2bo3b2o195b2o24b2o206b2o3bo2bo3bo2bo3b2o9$912bo158b2o$<br /> 911bobo153b2obo2bob2o$910bo3bo152b2o6b2o$911b3o153bobo4bobo$1069b2o2b<br /> 2o$909b2o3b2o152b2ob2ob2o$906b2o3bobo3b2o151bo2bo$906b2o3bobo3b2o149bo<br /> 6bo$904b2o5bobo5b2o147bo6bo$908b2obobob2o$41b2o199bo218b2o222b3o9b3o<br /> 204bo6bobo6bo147b8o$37b2obo2bob2o194bobo213b2obo2bob2o217bobob2o5b2obo<br /> bo206b2o2bobo2b2o149b2o6b2o$37b2o6b2o193bo3bo212b2o6b2o217bobobo7bobob<br /> o204bo2bobo3bobo2bo$37bobo4bobo194b3o213bobo4bobo218bob2ob2ob2ob2obo<br /> 205b2o11b2o151b2o$39b2o2b2o414b2o2b2o224bobobobo209b2o11b2o150bo2bo$<br /> 38b2ob2ob2o193b2o3b2o212b2ob2ob2o221bobobobobobo210bo7bo$40bo2bo193bo<br /> 3bobo3bo212bo2bo222b2obobobobob2o209b3o3b3o153bo2bo$38bo6bo190b2o3bobo<br /> 3b2o209bo6bo220b3o2bobo2b3o211bo3bo151b3ob4ob3o$38bo6bo189bo5bobo5bo<br /> 208bo6bo220b2o2bo3bo2b2o208b2obo3bob2o147bo12bo$236bob2obobob2obo436bo<br /> 4b2ob2o4bo209b2o3b2o150bob2o4b2obo$38b8o412b8o219bo13bo209bobobobo154b<br /> 4o$37b2o6b2o410b2o6b2o600bo2b4o2bo$909bo2bo2bo152b2ob2ob2o$910b2ob2o<br /> 152bob6obo$909b2o3b2o151bo8bo$906b2obo5bob2o$906b2o3b3o3b2o146bo5b2o5b<br /> o$906bob9obo145b2o3b2o2b2ob4o$910b2ob2o148bo2b4o4bobo3bo$910bo3bo152bo<br /> bo3b2obo$908bo2bobo2bo149b3o6b2o$909bobobobo150bo8b2o$911bobo$906bo3bo<br /> 3bo3bo$905b3o2bobobo2b3o$904bo3bobo3bobo3bo$905bobo2bob2o2bo2bo$909b5o<br /> 2b2o$912bo3bo$913bobo$5b2o38bo29b3o162bo3bo33b3o3b3o171bo6bo31b3o4b3o<br /> 182b3ob3o32b3o3b3o175bobo$4b2o39bo29bo2bo161bo3bo32bo2bo3bo2bo170bo6bo<br /> 30bo2bo4bo2bo182bo3bo32bo2bo3bo2bo$6bo37bobo28bo163bobobobo34bo3bo172b<br /> obo4bobo32bo4bo225bo3bo$75bo204bo3bo214bo4bo182b2o7b2o32bo3bo$43bo32bo<br /> bo160bobobobo31bobo5bobo208bobo6bobo179b5ob5o29bobo5bobo$41b3o197bobo<br /> 214bo6bo218b2o3bobobobo3b2o$40bo2bo194bobo3bobo210b3ob2ob3o218b4o2bobo<br /> 2b4o$37b3o3bo194bobo3bobo210b3ob2ob3o223bo3bo$40b3o195bo2b3o2bo209bo2b<br /> o4bo2bo$40b2o2b2o410b2o3b2o3b2o221b2o3b2o$37bobo2bo3bo190b2o7b2o207b2o<br /> bob4obob2o217b3o7b3o405b3o10b3o$40b2o4bo190bo9bo210bobo2bobo220b2o9b2o<br /> 405bo2bo8bo2bo$39bobob2o193bo7bo210b3o4b3o222b2o3b2o408bo14bo$39bo197b<br /> 2ob5ob2o210bo6bo224bo3bo409bo3bo6bo3bo$39b3o196bo2bobo2bo208bobo8bobo<br /> 220b2o3b2o408bo3bo6bo3bo$38bo2bo197bobobobo209bobo3b2o3bobo218bo2bo3bo<br /> 2bo407bo3bo4bo3bo$38bo2bo416b3o2b3o221bo2bo3bo2bo412bo2bo$240b2ob2o<br /> 210bo4bo2bo4bo217bo11bo412b2o$39b2ob2o196bo3bo210bo4bo2bo4bo219b2o5b2o<br /> 411bobo2bobo$38bo2b3o195b2o3b2o210bo10bo640bo6bo$39bo199b2o3b2o212b2o<br /> 4b2o222b2o5b2o213bo3bo32bo5bo155b2o2b2o$41b2o416bob2obo224bo5bo214bo3b<br /> o31b3o3b3o152b2o6b2o$38b2obob2o414b6o444bobobobo29b2obo3bob2o150b3obo<br /> 2bob3o$41bo2bo413bo6bo223b2o3b2o249bob2o3b2obo149b2o2bo4bo2b2o$43b2o<br /> 413bo2b2o2bo443bobobobo27b2o2b7o2b2o146bo2bo8bo2bo$40bo2bo414bo6bo445b<br /> obo32bob5obo149bo2b2o6b2o2bo$42bo416b2o2b2o443bobo3bobo28bo4bo4bo146bo<br /> 3bo10bo3bo$39b2o3bo414b2o2b2o443bobo3bobo185bo3b3o6b3o3bo$43b2o863bo2b<br /> 3o2bo25b3o11b3o145bo14bo$41b2obo900b2o7b2o146bo2bo12bo2bo$907b2o7b2o<br /> 24b3o11b3o143bob2o12b2obo$43b3o861bo9bo24b2ob2o7b2ob2o144b3o12b3o$42b<br /> 4o862bo7bo27bo5bo5bo$41bo2bo862b2ob5ob2o27bo3b3o3bo$43bo864bo2bobo2bo<br /> 31b5o150b2o14b2o$43bo865bobobobo28bo11bo146bo16bo$40b2o903b4o3b4o146bo<br /> bo14bobo$40b3o867b2ob2o33b2ob2o153bo4b2o4bo$41bo868bo3bo34b3o154b2ob2o<br /> 2b2ob2o$42bo866b2o3b2o31b2obob2o150b4o8b4o$42b2o198bo36bo5bo623b2o3b2o<br /> 29b2obobobob2o147b2o2b2obo2bob2o2b2o$242bo35b3o3b3o658b2ob2ob2ob2o146b<br /> o18bo$43bo198bo34bo2bo3bo2bo621b2o3b2o28bo2bo5bo2bo148b2o2bo4bo2b2o$<br /> 41b2o195bo3bo3bo29b3o7b3o619bo2bobo2bo26b2o3bo3bo3b2o144b2o16b2o$235bo<br /> bob2obob2obobo27bobo5bobo623bobo30bo11bo149b2o8b2o$234b2obobob3obobob<br /> 2o28b2o3b2o622bo2bobo2bo31b2ob2o153b3o6b3o$233bo3bo9bo3bo23bo4bo3bo4bo<br /> 617b2ob2ob2ob2o28b3o2bo155b3o4b3o$233bobobob2o3b2obobobo28bo3bo622b4ob<br /> ob4o29b3ob3o155bo4bo$237b2obo3bob2o27b2o3bo3bo3b2o621b3o32b2o2b4o153bo<br /> 2bo2bo2bo$234b2obo9bob2o26bo2bo3bo2bo624bo195bobo2bobo$237b2o2bobo2b2o<br /> 31bo5bo175b2o32bo12bo177bo11bo30bo5bo210b2o157b2obo6bob2o$237bobobobob<br /> obo213b2o31bobo10bobo174b2obobo5bobob2o27b3o3b3o175bo33b2o5bo152bo2bo<br /> 4bo2b2o$239bobobobo213bob2obo28b2ob2o8b2ob2o176bob2o3b2obo29bo2bo3bo2b<br /> o173b4o31b2o3b2obo149bobo3bo3bo3b2o$239bobobobo211b3o4b3o26b2o14b2o<br /> 173b2obo3bobo3bob2o25b3o7b3o170b2o3b2o29b2o4bo2b2o147b2o5bo$239bobobob<br /> o208b2o12b2o25bo12bo175b3o2bobobobo2b3o26bobo5bobo171b2o3b2o30bo2b3o2b<br /> 2o148bo4bo$236b2obobobobob2o205b2o2bob4obo2b2o25b4o6b4o180bobobobo33b<br /> 2o3b2o172bob3o2bo31bo5b3o148b2obo$235bobobobobobobobo208bobo2bobo29bo<br /> 2b2o4b2o2bo177bo2bobobobo2bo26bo4bo3bo4bo167bo2b2o2bo30bo5bo2b2o$236bo<br /> 2bobobobo2bo247b2o2bo2bo2b2o179bobobobobobo32bo3bo173bo2bo2bo29bobo4bo<br /> 2b2o$238bo2bobo2bo210b2o6b2o30b2ob4ob2o180b3obobob3o27b2o3bo3bo3b2o<br /> 169b2o33b5o5b3o$454b6o4b6o28bobo2bobo179bo2b3o3b3o2bo27bo2bo3bo2bo173b<br /> o33b2o$2b3o35bo38bo374bobo10bobo29bo4bo185b2ob2o34bo5bo175bo2bo29bo$bo<br /> 37b5o34bobo157b3o3b3o207bob2o8b2obo215b2o11b2o211bo32b3o2b3o$o5bo31bo<br /> 3bobo32b2ob2o153bo3b2o3b2o3bo204bob2o8b2obo28bo6bo179b2o11b2o211b2o35b<br /> o2bo4bo$o5bo31bobobobo32bo2b2o152b3o4bobo4b3o202b2ob2o8b2ob2o25b2ob2o<br /> 2b2ob2o178b3o7b3o212b2o32b3o4b2o2bo$b2obo34b2ob2o32b3o159bo2bobo2bo<br /> 206b2obo10bob2o26bo8bo177b2o2bo7bo2b2o207bo7bo26bo2b2o6bobo$3o2bob2o<br /> 31b3o31b2o4b2o155bobobobobobo206bobo10bobo27b2o6b2o177bobobo7bobobo<br /> 206b3o6bobo28bobo5b2o$bo5bo66b4o157bo5bobo5bo206bo2b2o2b2o2bo439bobo5b<br /> o2bo23bo7bo5bo$8bo31b3o29bo5b2o155bo5bobo5bo205bo4bo2bo4bo217bo11bo<br /> 212b2o2b3o33bo$b2o38bob2o29b3obo157b5o3b5o212b2o222bobob2o3b2obobo206b<br /> 2o4bo3bo35bobo$3o33b3o3b2o33bo382bo2bo225b2o3b2o210b2o5b2o29b2o$o3b2o<br /> 30b3o36bobo613bobo213bo2bo$3o34bob3o31bobo380b4o4b4o218bobob2ob2obobo<br /> 211bobo$2o7b2o28bo32bobo378b3o2b2ob2ob2o2b3o217b2obobob2o$bo5bo3bo27b<br /> 3o35bo377bo5b2o5bo220bobobobo$b2obob2o2bo26bo38bobo374b2obob3o2b3obob<br /> 2o214b3obobobobob3o$bo4bo29bo2bo35bo379b3o3b2o3b3o215bo6bobo6bo$2bo4bo<br /> 2bo25b7o32bo379bo12bo218bo3bobo3bo$7bobo27bo2b3o33bobo378b2o2b2o2b2o<br /> 223b2ob2o$6bob2o27bo5bo34b2o377b10o217bo2b2o2bobo2b2o2bo$6bobo29bobob<br /> 2o31b2ob2o377bob2o2b2obo217bo2bob2o3b2obo2bo$7b2o35bo414bo4bo220b2o11b<br /> 2o$8bo28b2o5bo29bo385bo2bo$8bo27bobobob2obo28bobo381bobo2bobo219bobo9b<br /> obo$7bo29bo3bobo31bo381b2ob4ob2o218bo2bo7bo2bo$8b2o35bo28b2o381b2ob4ob<br /> 2o218bo3bo5bo3bo$40bo3bo29b2o382bo6bo221bo2bo3bo2bo$38b3o35bo380b3o4b<br /> 3o220b2o7b2o$38bo2b4o29b2o2b2o375bobo8bobo$41bo36b2o374bo14bo217bob3ob<br /> 3obo$38bo6bo32bo375b2ob2o6b2ob2o215b2o2b3ob3o2b2o$38b3obo2bo192b2o5b2o<br /> 35bo36b3ob3o131b2o6b2o218b2o2bo5bo2b2o247bo5bo$40b2o3bo193bo5bo35bobo<br /> 34bo2bobo2bo129b2ob6ob2o218b2o9b2o247b3o3b3o$41b3obo191bobo5bobo32bo3b<br /> o32bo3bobo3bo126b2obo8bob2o216b3o7b3o246bo2bo3bo2bo$40bo4b2o190bo9bo<br /> 33b3o33bo9bo130bo6bo219bob2ob2ob2ob2obo244b3o7b3o$39b2o2b3o189b2o3bo3b<br /> o3b2o69bo5bo359b3o2b2ob2o2b3o245bobo5bobo$39b2o2bo192b2o2b2ob2o2b2o30b<br /> 2o3b2o30bobo7bobo356bobo3bobo3bobo247b2o3b2o$39bo2bo194bo3bobo3bo28b2o<br /> 3bobo3b2o26b2obob2ob2obob2o128b8o222b3o3b3o246bo4bo3bo4bo$40bo199b2ob<br /> 2o31b2o3bobo3b2o25bobobo2bobo2bobobo127b2o4b2o221bob2o3b2obo250bo3bo$<br /> 42bo198bobo30b2o5bobo5b2o22b2obo4bobo4bob2o356b2o5b2o246b2o3bo3bo3b2o$<br /> 42bobo192bob3ob3obo30b2obobob2o25bo3bob2obobob2obo3bo353b3o7b3o246bo2b<br /> o3bo2bo$42b3o189b2ob2o7b2ob2o23bo6bobo6bo25bob3o3b3obo357b2o9b2o248bo<br /> 5bo$40bobo192b4o2bobo2b4o27b2o2bobo2b2o24b2o3bo2b2ob2o2bo3b2o$40b3obo<br /> 194bobobobo29bo2bobo3bobo2bo26b2o9b2o361b2ob2o254b3o$37b2o2b2obo230b2o<br /> 11b2o26bo11bo359bobo3bobo250b2o3b2o$37b2ob2o196bo2b3o2bo28b2o11b2o25bo<br /> bo9bobo356b4o5b4o251bo3bo$278bo7bo27bo15bo354bo3b2o3b2o3bo245bo2b2o$<br /> 40bobo193b4obobob4o29b3o3b3o29bo11bo356bo3b2o3b2o3bo248bo3bo$39bob2o<br /> 193b6ob6o31bo3bo28b2obo11bob2o612bo3bo3b2o$38b3o197b2o5b2o30b2obo3bob<br /> 2o24bo3b2o9b2o3bo353bo2bo5bo2bo254bo$40bo195bo2bo5bo2bo30b2o3b2o27bo2b<br /> o11bo2bo357bo5bo249b2o5bo$38b2o2b2o235bobobobo32b2o5b2o361b2o5b2o$42b<br /> 2o192b3o7b3o66b2ob2o5b2ob2o357b2o7b2o$42b2o235bo2bo2bo29b4o7b4o356b2ob<br /> 2o3b2ob2o$234bo15bo29b2ob2o29b2o4b2ob2o4b2o358bobobobo$234b2o13b2o28b<br /> 2o3b2o32bob2ob2obo357b2obo3bobo3bob2o$40b3o191b2o13b2o25b2obo5bob2o28b<br /> 5ob5o358b2obobobobob2o$40b3o192b4o7b4o26b2o3b3o3b2o28b2o7b2o361bo5bo$<br /> 40b2o197bo5bo30bob9obo395bo2bo9bo2bo$40b2o196bo7bo33b2ob2o35b2ob2o358b<br /> ob4ob2ob2ob4obo$40b3o237bo3bo35bo3bo359b3o11b3o$36b2obo3b2o190b3o9b3o<br /> 28bo2bobo2bo32bo5bo132bo6bo35b2o37b3o2b4o2b3o133bo9bo$36b2obo3b2o234bo<br /> bobobo34bo3bo132bobo4bobo30b2obo2bob2o32bo3bob4obo3bo$39bo241bobo173bo<br /> bo4bobo30b2o6b2o31bo6bo2bo6bo129b2o11b2o$39bo2bo192b3o9b3o31bobo174bo<br /> 6bo31bobo4bobo31bo3b2o6b2o3bo128bo15bo$39bo2bo195b2o5b2o33b2ob2o214b2o<br /> 2b2o35bo12bo131bo2bo7bo2bo$39bob2o194b2o2b3o2b2o209b3o4b3o31b2ob2ob2o<br /> 31bobo14bobo132bo5bo$39b2o193b3o2b2obob2o2b3o206b4o2b4o33bo2bo32b2obob<br /> 2o8b2obob2o128bobo7bobo$242bo217bo2bo34bo6bo29bobobobo10bobobobo$241bo<br /> bo213b3ob2ob3o31bo6bo28b2o3bobob2o4b2obobo3b2o127bo9bo$44bo196bobo213b<br /> 2o6b2o66bo3bobobob2o4b2obobobo3bo124bo2bo7bo2bo$40bobo413b2o8b2o30b8o<br /> 30bo4bobobo2bobobo4bo127bo2bo7bo2bo$38b2obobob2o450b2o6b2o26b2o6bo2bo<br /> 4bo2bo6b2o126bo9bo$39bobobobo409bo12bo73b3o4b3o$40b2ob2o408bo2bo10bo2b<br /> o30b2o182b2o11b2o$39bo5bo407bo2bo10bo2bo29bo2bo41b4o137bo11bo$38bobo3b<br /> obo499b2o137bobo9bobo$42bo413b3o6b3o32bo2bo180bobo11bobo$42bo413bo10bo<br /> 28b3ob4ob3o176b4o9b4o$39b2o3bo413bo6bo29bo12bo174b2ob3o7b3ob2o$39b2o<br /> 415b3o6b3o28bob2o4b2obo178bo2bo5bo2bo$38b3o2b2o455b4o183b2o7b2o$37b2ob<br /> 2o417bob2obo32bo2b4o2bo180b3o5b3o$37bo5bo416bo2bo34b2ob2ob2o182bobo3bo<br /> bo$456bob2ob2ob2obo29bob6obo180b2ob2ob2ob2o$37bo7b2o409b3o6b3o29bo8bo<br /> 181bobo3bobo$37b2ob4obo$39bob4o411bobo6bobo27bo5b2o5bo175b2o13b2o$43bo<br /> bo410bobo6bobo26b2o3b2o2b2o3b2o174b3o11b3o$44bo409b3ob3o2b3ob3o23bo2b<br /> 4o4b4o2bo173bo2b2o7b2o2bo$497bobo4bobo179bo3bo3bo3bo$239b2o3b2o36bo34b<br /> 3o5b3o168b3o6b3o181b3ob3o$237b2o2bobo2b2o33b3o33bobo5bobo168bo10bo176b<br /> o2bobobobobobo2bo$281b3o33bobo5bobo356b3o11b3o$241bobo71bob2o3bo3b2obo<br /> 354bo15bo$236bo4bobo4bo28b3o5b3o27b2o4bobo4b2o355b3o9b3o$236bo3bo3bo3b<br /> o70b2obob2o359b3o9b3o$236bo2bo5bo2bo28bobo5bobo30bo7bo359b3o7b3o$277bo<br /> bo5bobo30bobo3bobo362b2o3b2o$236bo11bo29bo7bo27b5o7b5o354b2o11b2o$236b<br /> o2b2o3b2o2bo28bo2bo3bo2bo25bo2bo11bo2bo353bo3bobobobo3bo$235bo3b2o3b2o<br /> 3bo28bob2ob2obo27bob3o7b3obo353bo2b2o7b2o2bo$236bo2bobobobo2bo26bo4bo<br /> 3bo4bo26bob2o5b2obo358b2o2bobo2b2o$236b2o3bobo3b2o26b6o3b6o25b2obobo3b<br /> obob2o358bob2ob2obo$239bobobobo29bo4bo3bo4bo25b3obo5bob3o$239bobobobo<br /> 30b2obo5bob2o400b2o3b2o$238b2obobob2o33bo3bo34b2o3b2o362bo2bobo2bo$<br /> 241bobo32bo11bo32bobo363bobobobobobo$240b2ob2o31bo3bo3bo3bo29bo7bo357b<br /> 4obobobobob4o$277bo2bo3bo2bo30b2o5b2o356bo4bo2bobo2bo4bo$277bo2bo3bo2b<br /> o27b2o11b2o354bobo4bobo4bobo$41b2o35b2o162bo29b3o3bobo3bobo3b3o20bob2o<br /> 11b2obo126bo6bo29bo12bo177b3o7b3o$43bobo29b2ob2o158bob2ob2obo24bo2bo3b<br /> 9o3bo2bo19b2o2b2o7b2o2b2o125bobo4bobo28bo12bo179bob2ob2obo$40bo3bob2o<br /> 24b4o2bobo157b2obobob2o24bo2bo2b2ob5ob2o2bo2bo19bo2bo2bo5bo2bo2bo124bo<br /> 2bo4bo2bo26bobo10bobo174bo4b2o3b2o4bo$41b5o25bo4bo4bo155bob2obob2obo<br /> 30b2o2bo2b2o27bo4bo5bo4bo126b2o6b2o28bo12bo174b2o4bo5bo4b2o$72b2o7bo<br /> 156bo7bo30b2o3bo3b2o26bo2bo2bo3bo2bo2bo164bo12bo174b2o15b2o$81bo156bo<br /> 7bo30b2o7b2o23bo5bo9bo5bo119bo5bo4bo5bo25bo3b4o3bo176bo2b2o2bobo2b2o2b<br /> o$43bo33b3o156b2o3b3o3b2o31b2ob2o27bobo15bobo119bobo3bo6bo3bobo28b4o<br /> 183b4o3b4o$42bobo31bo159bo11bo28bo3bobo3bo28bo11bo122bo2bo3b2o4b2o3bo<br /> 2bo23b4o4b4o180b2o5b2o$38bo2bo34bobo156b2o11b2o27bo3bobo3bo24bo3bobo7b<br /> obo3bo118bo2b2o3bo4bo3b2o2bo217bo3bo$37b2o2bo33b2o165bo34b2o2bobo2b2o<br /> 24bo2bo3bo5bo3bo2bo165bo6bo180b2obo5bob2o$37bo3bo32b3o157bo2b3o5b3o2bo<br /> 28b3ob3o27b2o2b2o7b2o2b2o167b2o2b2o180bobo2bo3bo2bobo$41bo3bo30bobo<br /> 156bo13bo25b2ob2o5b2ob2o27bo9bo358b2ob2o3b2ob2o$42bobo33b2o194bo2b2o7b<br /> 2o2bo$44bo31bo3bo158bo5bo27bo17bo25b5ob5o358bob3o3b3obo$40bob2o32bo<br /> 162b2obob2o28bob3o7b3obo19bo6b2ob2ob2ob2o6bo351b2o9b2o$39bo4bo29b3o<br /> 158b4o7b4o27bo2bo3bo2bo21b3o7bo5bo7b3o350bo11bo$39bo3bo29bo2bo158b3o2b<br /> 5o2b3o28b3o3b3o22bo2b2o5bo5bo5b2o2bo$38bo33bo166bo5bo29b2o4bobo4b2o21b<br /> o3b5o5b5o3bo350b3o11b3o$38b2o195b2ob3obob3ob2o30bo3bo31bob2o5b2obo$38b<br /> 2o2b2o28bob2obo158bo2bo5bo2bo27bo4bobo4bo21bo3bo15bo3bo350b6o3b6o$42b<br /> 2o28bo3b3o157bo11bo24bo6b2ob2o6bo18bob2o2bo11bo2b2obo350b2obo2bobo2bob<br /> 2o$41bo2bo30bo3bo192b2o2b3obo3bob3o2b2o17bob4o13b4obo351bobo2bobo2bobo<br /> $42b2o29bo163bo4bo4bo23bo5b4o3b4o5bo19bo17bo354bobobo3bobobo$45bo28bob<br /> o161b2o5b2o25bo3b2o2bo3bo2b2o3bo393bo2bo5bo2bo$42bobo28b2ob3o159b2o5b<br /> 2o26b3o2bobo3bobo2b3o19bo21bo352bo2b2o3b2o2bo$42bo3b2o24bobobob2o230bo<br /> bo19bobo355bo3bo$43b4o24b2obobo3bo155bo3bo3bo3bo29b3o3b3o22bo25bo349bo<br /> 5bobo5bo$74bo160bo4bo3bo4bo27b2o7b2o21bo3bo17bo3bo349b2o2bobobobo2b2o$<br /> 71b2obobo158b3obo5bob3o26b2o9b2o25bo15bo357b2obobob2o$40b4obo30bo199bo<br /> bo7bobo20b2o23b2o353bobobobo$40bo5bo25bo4bo199bo9bo23bo3bo2bo7bo2bo3bo<br /> 164bo6bo78b3o10b3o90bo3bo$46bo25bo2bo2b2o158bo7bo31bobo3bobo24bo3bobob<br /> o5bobobo3bo164bo6bo78bo2bo8bo2bo90b2ob2o$40bo4bo30b3o158b2o7b2o30bobo<br /> 3bobo24bo5bob2o3b2obo5bo163bobo4bobo77bo14bo88bobo3bobo$40b6o192bo7bo<br /> 30bo9bo23bo3b2obo7bob2o3bo250bo3bo6bo3bo89bo5bo$40bo2b2o191b3o7b3o28bo<br /> 9bo27b2o11b2o254bo3bo6bo3bo90bo3bo$40bo32b2o160bobo9bobo27bo3bobo3bo<br /> 25bo17bo166bo6bo79bo3bo4bo3bo90b3ob3o$40bo31bo2b2o201bo2bobo2bo25bo19b<br /> o164b3ob2ob3o83bo2bo93b3obobob3o$75b2o158b3o9b3o28bo2bobo2bo25bo4bo9bo<br /> 4bo164b3ob2ob3o84b2o94bobobobobobo$40bo35bo159bo11bo62b2o3b2o9b2o3b2o<br /> 163bobo4bobo81bobo2bobo92bo2bobo2bo$39bobo194b3o7b3o30b3ob3o25b2o3bobo<br /> 7bobo3b2o165bo4bo83bo6bo92bo2bobo2bo$39bo2b4o26b2o2bo202bobobobo25b2o<br /> 3b2o3b3o3b2o3b2o164b2o4b2o83b2o2b2o92b3obobob3o$39bob3o29b3o204b5o26b<br /> 3o2b3obo3bob3o2b3o159b3o3bo4bo3b3o76bo8bo89bo4bobo4bo$46bo27bo162bo9bo<br /> 26b3o11b3o24bob2obo3bob2obo164bo3bo6bo3bo77b10o90bo3bobo3bo$41b2o3bo<br /> 27bobo158b2obo7bob2o24b3o11b3o20b2o3b2obo5bob2o3b2o165b2o2b2o81bo3bo2b<br /> o3bo90bo7bo$46bo27bobo158bo3bo5bo3bo22bo3bo11bo3bo19bob2o3bobobobo3b2o<br /> bo161bobo10bobo76bobobo2bobobo87bobo9bobo$37b2obo33bo159b3obo7bob3o25b<br /> o11bo31bobobo169bobo10bobo75b2obo2b2o2bob2o87b2o9b2o$37b2o2bo33bo161b<br /> 2o7b2o29bo9bo29bo9bo167bo12bo79b8o88bo15bo$38bobobo192bob2o7b2obo22bo<br /> 3bo3bobobo3bo3bo24b3o5b3o257bobo8bobo86bo2bo7bo2bo$41b3o192b3o7b3o24b<br /> 2o4bo5bo4b2o27b2obob2o167b2ob2o8b2ob2o74bobo8bobo88bobo5bobo$40b3o195b<br /> o7bo27bo15bo28b7o167b2ob2o8b2ob2o79bo2bo94bo7bo$41bo2bo191bobo7bobo26b<br /> 3o9b3o27b3o5b3o166b3o10b3o80b4o$41b2o2bo193b2o3b2o30bo5bo5bo27b2obobob<br /> obob2o355b3o11b3o$45bo192b4ob4o34b3o31bo3bo5bo3bo164b3o2bo4bo2b3o81b2o<br /> 93b3o7b3o$42bobobo189bo2bobobobo2bo31b2ob2o35b2ob2o174bo4bo84b2o2b2o<br /> 91bo2bo5bo2bo$240bo3bo35b5o29bo2bobobobobobo2bo167bobo2bobo82bo6bo$42b<br /> 2o195b2o3b2o31b3o2bo2b3o27b4o7b4o166bo10bo80bo6bo90bo11bo$42b2o195b2o<br /> 3b2o29bo13bo28bo7bo167b2obo8bob2o77bo8bo89bobo7bobo$41bob2o230bobo9bob<br /> o28bo7bo261bo6bo91b3o5b3o$42b3o195bo3bo32bo9bo27b2obo2bobo2bob2o163bo<br /> 4bo6bo4bo78b6o93b2o5b2o$44bo194bobobobo28bobo11bobo202bob3o3b2o3b3obo<br /> 177bobo3bobo$44bobo191bo7bo26bo2bo11bo2bo26b2o5b2o168b2o3bo2bo3b2o180b<br /> o5bo$41b3o194bo7bo27b2o13b2o209bo2bo$42b2ob2o192bo5bo254b4o$45bo272bo<br /> 7bo$43b2o195b2ob2o73b3o3b3o171b3o2b3o$44bo195bo3bo72bo2bo3bo2bo$41b3o<br /> 196bo3bo73bo7bo173bo2bo$41bo3bo195b3o73bo2bo3bo2bo172b4o$41b2o197bo3bo<br /> 75b2ob2o174bo4bo$239b2o3b2o75bobo176b4o$42bo276bobobobo$42bobo273bo3bo<br /> 3bo$38b3o2b3o272bo7bo173b4o$37bo3b2ob2o189b2o3bo3bo3b2o71bobo177b2o$<br /> 41b5o190b4o5b4o67b2obo5bob2o171bo2bo$38bo198b2o7b2o68b2o2bo3bo2b2o170b<br /> 2o2b2o$40bobo273bo11bo170b2o2b2o$42b2o273bo9bo169bo8bo$40b3o272bobo9bo<br /> bo167bo3b2o3bo$39bob2o271b4o9b4o168bo4bo$38b2obob2o269b2obobo5bobob2o<br /> 169bo2bo180b2o13b2o25bob3o3b3obo30b3ob3o$38bo4b3o267bo2bo11bo2bo161b3o<br /> 3bo4bo3b3o175bobo7bobo26b2ob2obobob2ob2o28bo2bobo2bo$37b3o6bo271bobo3b<br /> obo172bo4bo178bo3bob2o3b2obo3bo22bo2b2o2bobo2b2o2bo26bo3bobo3bo$36bo8b<br /> o271b2obo3bob2o165bo2bo10bo2bo173b5o7b5o27bo2bobo2bo30bo9bo$37bobo3bo<br /> 269bo2bo3b2ob2o3bo2bo165bob6obo217bo4bobobobo4bo28bo5bo$39bob2o275bo2b<br /> obo2bo167bo2bobo4bobo2bo213b2o2bobobobobobo2b2o24bobo7bobo$315bo2bob2o<br /> b2obo2bo167bob2o2b2obo177bobo11bobo22b2o6bobo6b2o23b2obob2ob2obob2o$<br /> 43b4o269bobobobobobobo168bo2b4o2bo177bo3bobo3bobo3bo23bobo3b2ob2o3bobo<br /> 23bobobo2bobo2bobobo$42b2o2bo270b2o2bobo2b2o165bo3bo3b2o3bo3bo173bo3b<br /> 3o3b3o3bo24b2o2bobobobo2b2o23b2obo4bobo4bob2o$41bobobo272bobo3bobo166b<br /> o2bo10bo2bo179bo3bo29b2o2b2obobob2o2b2o21bo3bob2obobob2obo3bo$40b2obob<br /> 2o272b2o3b2o170bo10bo179bobo5bobo33bobo32bob3o3b3obo$38b2ob2o2b2o269b<br /> 2o9b2o164b2o14b2o178bo5bo29bo5bobo5bo22b2o3bo2b2ob2o2bo3b2o$43bobo270b<br /> 3o7b3o361b2ob2o29bobo3b2ob2o3bobo25b2o9b2o$37bo2bo4bo270bobo7bobo164b<br /> 2o14b2o180bobo35bobobobo30bo11bo$43bo270b2o2bo7bo2b2o163bo14bo178b2obo<br /> bob2o27bo3b2obobob2o3bo24bobo9bobo$38b2o2b2o270b2o13b2o356bo3bobo3bo<br /> 26bobo4bobo4bobo23bo15bo$38b3obo277bo3bo169b2o12b2o174b2o5bobo5b2o25bo<br /> 4bobo4bo27bo11bo$38bo2b2ob2o269bo4bo3bo4bo353bobo5bobo5bobo21b2o6bobo<br /> 6b2o21b2obo11bob2o$40bo4bo269b2o3bo3bo3b2o354b2o2b2obobob2o2b2o26b3obo<br /> bob3o24bo3b2o9b2o3bo$37b2o2b2obo271bo2bo5bo2bo355bo3b2obobob2o3bo24bo<br /> 4b2ob2o4bo23bo2bo11bo2bo$316b3o7b3o355b2o5bobo5b2o22b2o6bobo6b2o26b2o<br /> 5b2o$43bo271bobo9bobo354bo15bo22bobo2b2obobob2o2bobo23b2ob2o5b2ob2o$<br /> 43bo2bo268b2o11b2o355bo4bo3bo4bo31bobo31b4o7b4o$43bo2bo268bobo4bo4bobo<br /> 360bo3bo32b2o2bobo2b2o26b2o4b2ob2o4b2o$44bobo268b2o4b3o4b2o360b2ob2o<br /> 31b2o2bo3bo2b2o29bob2ob2obo$44bo270b2o3bo3bo3b2o400b2ob2o32b5ob5o$42b<br /> 2o270b3o4b3o4b3o357b2o5b2o29b2o9b2o28b2o7b2o$42b2o2bo265b2o17b2o355b2o<br /> 5b2o29b2o9b2o$42b2obo265bo5b2o2bobo2b2o5bo352bo11bo26bobo9bobo30b2ob2o<br /> $42bo643bobo7bobo25bo15bo29bo3bo$40b4o267bo2bob3ob2ob2ob3obo2bo352bobo<br /> 7bobo25bo15bo28bo5bo$45bo271b3o5b3o396bo15bo29bo3bo$40b2o277b3ob3o359b<br /> obob2o3b2obobo26b3o7b3o$43bobo268bo4b2obob2o4bo355b3ob2ob2ob3o30bo5bo$<br /> 43bobo274bo3bo362bob3ob3obo29bobo5bobo$42bob2o640b2o9b2o30b2o3b2o$42bo<br /> 277b2ob2o362b5ob5o30bob2ob2obo$42bo641bob3o2bobo2b3obo26bo3bobo3bo$<br /> 684b3o3b2ob2o3b3o26bo2bo3bo2bo$43bobo640bo2b2o3b2o2bo$38b2o2b3o642b2o<br /> 7b2o31b2o3b2o$39bob2o685bo2bobo2bo$39b2obo645b2obobob2o34bobo$40b2o<br /> 645bo3bobo3bo30b2obobob2o$39bo648b2obobob2o31b2obobob2o$39bobo644bobob<br /> 2ob2obobo28b2o2bobo2b2o$38bo3bo642bo3bo5bo3bo29bo5bo$37bo2b3o643b2o9b<br /> 2o$37bo650bo7bo$686bo11bo$41bob2o235bo3bo74bo5bo318b2o13b2o$39b2o2b3o<br /> 232b9o71b3o3b3o317bo2bo9bo2bo$41b3o2bo310b2o2bobo2b2o315bo17bo$41bo5bo<br /> 233b3o73b2o2bobo2b2o316bo4b2o3b2o4bo$40b2o3b2o233b5o73bo2bobo2bo319b2o<br /> b2o3b2ob2o$41b2o234b2o7b2o69bo3bobo3bo322b2ob2o$39bo3bo232b3o7b3o68bo<br /> 4bo4bo$39bo4bo230bo13bo67bo9bo321b3ob3o$40bo3bo312bo9bo$40bo2bo234b3o<br /> 3b3o70bo9bo$275b2o11b2o67bo3b3o3bo$39b2o2b2o230b2o4bobo4b2o69bo2bo2bo$<br /> 39b2o2b2o233bobo3bobo72bobobobo$37b2o6b2o230b2o7b2o71bo5bo$36bob2o4b2o<br /> bo230bobo3bobo69bo2bo5bo2bo$36bo10bo229bo2bo3bo2bo67b2o11b2o$37bo8bo<br /> 230bobobobobobo70b2o5b2o$36b2o2b4o2b2o228b3o7b3o65bob2ob2o3b2ob2obo$<br /> 37bobo4bobo229b3o7b3o65bo5b2ob2o5bo$38b2o4b2o230b3o7b3o70bo5bo$37bo3b<br /> 2o3bo230b2o7b2o70bo2bobo2bo94b2o121bo14bo$37bo8bo230b2o7b2o71bobobobo<br /> 94bo2bo119bobo12bobo$36bo10bo230b3o3b3o73bo3bo95bo2bo118b2ob2o10b2ob2o<br /> $37bo8bo231b3obob3o172bo4bo117b2o2bo10bo2b2o$281bobo175bo4bo120bobo8bo<br /> bo$40b2o2bo234bob3obo174b4o121bobo8bobo$40bo3b2o233bo5bo173b2o2b2o117b<br /> 2obob2o6b2obob2o$38bo3b2o235bo5bo173bo4bo118bobo12bobo$38bo3b2o232b3ob<br /> o3bob3o170bo4bo119b2ob2o6b2ob2o$37bo6b2o230bo2bob3obo2bo296bob2obo2bob<br /> 2obo$36bo2bo2b4o230bob2o5b2obo299bobo2bobo93bo5bo69b3o9b3o$37b2o2bo3bo<br /> 414b4o121b2obobo2bobob2o89bobo3bobo68bo2bo7bo2bo$42bo418b2o122b2o3b4o<br /> 3b2o88bo2bo3bo2bo66b2o13b2o$586bo3bo2bo3bo90b2o5b2o65b2obo3bo5bo3bob2o<br /> $587bo2bo2bo2bo168b3ob2o3b2ob3o$585b4o6b4o85bo5bo3bo5bo60bo21bo$583b2o<br /> 2bo8bo2b2o82bobo3bo5bo3bobo60bobob5o3b5obobo$582bo3bo10bo3bo80bo2bo3b<br /> 2o3b2o3bo2bo59bo3bo2b2o3b2o2bo3bo$582bo4bo8bo4bo80bo2b2o3bo3bo3b2o2bo<br /> 59bo3b3o7b3o3bo$582bo4b2o6b2o4bo160bo4bo9bo4bo$583b2o2bo8bo2b2o165b3o<br /> 7b3o$583b2obo10bob2o164bo2b2o5b2o2bo$768b2o5b2o$764b2o4bo3bo4b2o$583b<br /> 2o14b2o162bo3bo3bobo3bo3bo$582bo2bo12bo2bo158b2ob3obobobobobobob3ob2o$<br /> 582bo2bo12bo2bo157bo5b2o4bobo4b2o5bo$583b2o14b2o157bo4b2o15b2o4bo$758b<br /> 3o8bo5bo8b3o$767b2o7b2o$322bo445bo2bobo2bo$321bobo436bo8b2o3b2o8bo$<br /> 320bo3bo437bo6bo5bo6bo$321b3o434bo3b2o17b2o3bo$759bo25bo$319b2o3b2o<br /> 434b2o2bo15bo2b2o$316b2o3bobo3b2o430bo3bo17bo3bo$316b2o3bobo3b2o432b2o<br /> bo15bob2o$314b2o5bobo5b2o427bo2bo2b2o13b2o2bo2bo$318b2obobob2o432b2obo<br /> 3b2o9b2o3bob2o$44bo269bo6bobo6bo428b2o2b2ob2o9b2ob2o2b2o$43bobo271b2o<br /> 2bobo2b2o437b3o9b3o$42bo2bo269bo2bobo3bobo2bo435bo13bo$43b2o270b2o11b<br /> 2o434bob2o9b2obo$315b2o11b2o436bo11bo$39bo5bo272bo7bo440bo9bo$38bobo3b<br /> o273b3o3b3o439bo11bo$37bo2bo3b2o274bo3bo440b2ob2o5b2ob2o$37bo2b2o3bo<br /> 271b2obo3bob2o440b2o5b2o$319b2o3b2o440bo2bo5bo2bo$319bobobobo438bo15bo<br /> $768b2o5b2o$319bo2bo2bo438bob2o9b2obo$320b2ob2o$319b2o3b2o440b3o7b3o$<br /> 765b3o9b3o$318bo2b3o2bo437bo3b4ob4o3bo$317b11o438b4obobob4o$317b2obo3b<br /> ob2o437b2obo2bobo2bob2o$765b2obo2bobo2bob2o$768bob2ob2obo$770bo3bo$<br /> 769bo5bo2$764b3o11b3o$765bo13bo$765bo13bo$763bobo13bobo$764bo15bo11$<br /> 123bo5bo$122b3o3b3o228bo5bo$121b2obo2b2obo227b3o3b3o$121b3o3b3o227bo2b<br /> o3bo2bo$122b2o4b2o226b3o7b3o$127bo229bobo5bobo$123bobob2obo228b2o3b2o$<br /> 123bo2bobo226bo4bo3bo4bo$127bo232bo3bo$126b2o227b2o3bo3bo3b2o$124bo2bo<br /> 229bo2bo3bo2bo$124bo234bo5bo364bo3bo73b3o3b3o$124bo3bo601bo3bo73bo2bob<br /> o2bo$123b5obo232bo366bobobobo71bo3bobo3bo$123bob2o2b2o229b2ob2o444bobo<br /> bobo$122bo5b3o597bo7bo72bo5bo$126bo233b2ob2o360bob2o2bobo2b2obo69b2o3b<br /> 2o$123bo3bo231bo2bo2bo359bobo2b2ob2o2bobo70b2ob2o$122bo3bo232bobobobo<br /> 358bob2obobobobob2obo69b2ob2o$122bo2b2o230b2o3bo3b2o441bo5bo$121bo235b<br /> 2ob5ob2o362bo3bo70b3o9b3o$122bo2bo234b2ob2o439bo2b2o7b2o2bo$123bobo<br /> 231bobo5bobo358b2ob2o3b2ob2o65bo15bo$358bobo3bobo359b2o9b2o69bo7bo$<br /> 123bo4b3o229b2ob2o364b2o3b2o69bo2bo7bo2bo$125bo2bo2bo228b2ob2o365bo3bo<br /> 70bobo9bobo$122b2o4bo600bo5bo69b2o11b2o$121bo3bo2bo233bo365bobo3bobo<br /> 66bo3b3o5b3o3bo$126bobo233bo364b4o3b4o65bo5bo5bo5bo$121b2o2bo234bobobo<br /> 361bo2bo5bo2bo69b2o5b2o$123b2o3b3o228b2o3b2o360bob2o5b2obo66bo5bobo5bo<br /> $127b3o598bo7bo71bob2ob2obo$126b2o229bo9bo360b2o5b2o70bo3bobo3bo$124bo<br /> 5b2o225bo9bo441b2o3b2o$124bobo3b2o226bo7bo363bo3bo73b3o3b3o$125bobo<br /> 232bo3bo364bo5bo72bobo3bobo$729bo5bo71bo9bo$808bobo3bobo$123b3o603b2o<br /> 3b2o73bo5bo$729bobobobo74bo3bo$730b2ob2o73b4ob4o$731bobo74bo7bo$731bob<br /> o75bo5bo$728b2obobob2o72bo5bo$728b2obobob2o$727bo3bobo3bo68b3ob2ob2ob<br /> 3o$726b3ob2ob2ob3o66bo3b2o3b2o3bo$726b2o9b2o65bo2bo2bo3bo2bo2bo$726b3o<br /> 7b3o65b2o3b2o3b2o3b2o$726bo2bo5bo2bo65bob5o3b5obo$724b2o3b2o3b2o3b2o<br /> 69b2ob2o$725b2ob3o3b3ob2o64b5o7b5o$726bo2bo5bo2bo64b4ob2o5b2ob4o$727bo<br /> 2bo3bo2bo65b3o3b2o3b2o3b3o$727b2ob2ob2ob2o70bob2ob2obo$729bobobobo74b<br /> 2ob2o$725bobo2bo3bo2bobo67bobo5bobo$725bo2bo7bo2bo66bob2o5b2obo$729bo<br /> 5bo69b2o2bo5bo2b2o$804b2o13b2o$728bobo3bobo70bo2b2ob2o2bo$730bo3bo69b<br /> 2o4b2ob2o4b2o$728bobo3bobo73bo3bo$727bo2bo3bo2bo69b4o3b4o$728bo7bo69bo<br /> 4bobo4bo$729bo5bo70bob2obobob2obo$805b2ob2obobob2ob2o$724b2o2b2o5b2o2b<br /> 2o63b3o11b3o$724b3o3bo3bo3b3o65bo11bo$727b4o3b4o68bo11bo$726bo4bobo4bo<br /> 65b3o11b3o$727bo2bo3bo2bo69b3o5b3o$727bo9bo70b2o5b2o2$807b3o5b3o$807b<br /> 2o7b2o$809bo5bo$808b2obobob2o$807bo9bo$807bo3bobo3bo2$807b3o5b3o$806bo<br /> 11bo$807bobo5bobo$805bo2bobo3bobo2bo$805b4obo3bob4o$804bo3bob2ob2obo3b<br /> o$804bo2b2o7b2o2bo$803b2obo3b2ob2o3bob2o$806bob2obobob2obo$803b5obo5bo<br /> b5o$803bo6bo3bo6bo$808bo7bo$807bo2bo3bo2bo$811bobo$811bobo$808b2obobob<br /> 2o$808bo2bobo2bo$808bo2bobo2bo2$807b2o7b2o$807b2o7b2o$807b2o7b2o3$806b<br /> o2bo5bo2bo46$808bo7bo$807b3o5b3o$807bo2bo3bo2bo$808b2obobob2o$804bo3b<br /> 2obobob2o3bo$803bobo5bobo5bobo$802b2ob2o3b2ob2o3b2ob2o$803bo7bobo7bo$<br /> 803bo7bobo7bo$803bo2bo3b2ob2o3bo2bo$804bo15bo$808b3o3b3o$806b2obo5bob<br /> 2o$809bo5bo$809b2o3b2o$810b2ob2o2$807bo3bobo3bo2$809bobobobo$809bobobo<br /> bo$810b2ob2o$810bo3bo!<br /> <br /> == Known spaceships by height ==<br /> <br /> {|class=&quot;wikitable&quot;<br /> |-<br /> ! Velocity !! minimum height<br /> |-<br /> | (1,0)c/2<br /> | style=&quot;background: #80ff80;&quot; | 8<br /> |-<br /> | (1,0)c/3<br /> | style=&quot;background: #80ff80;&quot; | 5<br /> |-<br /> | (1,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 8<br /> |-<br /> | (2,0)c/4<br /> | style=&quot;background: #80ff80;&quot; | 6<br /> |-<br /> | (1,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 8<br /> |-<br /> | (2,0)c/5<br /> | style=&quot;background: #80ff80;&quot; | 11<br /> |-<br /> | (1,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> |-<br /> | (2,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> |-<br /> | (3,0)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 9<br /> |-<br /> | (1,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> |-<br /> | (2,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 8<br /> |-<br /> | (3,0)c/7<br /> | style=&quot;background: #ffa0a0;&quot; | 7<br /> |}<br /> <br /> All results checked by Matthias Merzenich using WLS.<br /> <br /> x = 65, y = 70, rule = B3/S23<br /> 6bo17bo$5b3o15b3o$3b2ob3o13b3ob2o$4bo2bob2o4bo4b2obo2bo$b2obo4bobob2ob<br /> 2obobo4bob2o$b2obobo2bobo7bobo2bobob2o$bo8b3obobob3o8bo$2o7b2o9b2o7b2o<br /> 13$15bo$8b2ob3ob3o$8b2o4bo2b2ob2o$7bo2bob2o3bo2b2o$19bo2bo16$3bo53bo$<br /> 3bo7b3o11b3o28b3o$2bobo4b2o5b3o36b2obo$9b5ob5o4bo2bo27b3o$7bobo2bo2bo<br /> 3bo5bo30b2o$3b6o3bo2b2o4b6o$4b2o6bobo2b2o3bo$14bo6bo13$11bo7bo33bo$5b<br /> 2obobob2o3b2obobob2o26b3o$2b3obob3o9b3obob3o22bo3bo$2bo3bobo5bobo5bobo<br /> 3bo22b2ob2o5bo$6b2o6bobo6b2o36b2o$3b2o9bobo9b2o22b4obo5bob2o$3b2ob2o<br /> 15b2ob2o23bo2bo2b3o2bo$7bo15bo33b3o$61bo$61bob2o!<br /> <br /> == See also ==<br /> <br /> * [[User:Sokwe/Spaceship searches]]<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;/references&gt;</div>

Praosylen https://conwaylife.com/w/index.php?title=User:Sokwe/interesting_oscillators&diff=86224 2021-12-20T20:21:14Z

<p>Praosylen: </p> <hr /> <div>This table contains the &quot;interesting&quot; oscillators that were added to the oscillator page. A clear and widely-accepted definition of &quot;interesting&quot; does not currently exist. Several entries in the &quot;first discovered&quot; column are inaccurate, but they have been left in place after the move from the oscillator page. Feel free to edit this page.<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |-<br /> ! Period<br /> ! First discovered<br /> ! Discoverer<br /> ! Year of discovery<br /> | rowspan=&quot;400&quot; style=&quot;border: none;&quot; |<br /> ! Smallest known<br /> ! Minimum # of cells<br /> |-<br /> ! {{period|2|brief}}<br /> | [[blinker]]<br /> |[[John Conway]]<br /> | {{year|1970}}<br /> | [[blinker]]<br /> | {{cells|3}}<br /> |-<br /> ! {{period|3|brief}}<br /> | [[pulsar]]<br /> |John Conway<br /> | 1970<br /> | [[caterer]]<br /> | {{cells|12}}<br /> |-<br /> ! {{period|4|brief}}<br /> | [[pinwheel]]<br /> |[[Simon Norton]]<br /> | 1970<br /> | [[mold]]<br /> | {{cells|12}}<br /> |-<br /> ! {{period|5|brief}}<br /> | [[octagon 2]]<br /> |[[Sol Goodman]], [[Arthur Taber]]<br /> | {{year|1971}}<br /> | [[pseudo-barberpole]]<br /> | {{cells|15}}<br /> |-<br /> ! {{period|6|brief}}<br /> | [[$rats]]<br /> |[[David Buckingham]]<br /> | {{year|1972}}<br /> | [[unix]]<br /> | {{cells|16}}<br /> |-<br /> ! {{period|7|brief}}<br /> | [[burloaferimeter]]<br /> |David Buckingham<br /> | 1972<br /> | [[burloaferimeter]]<br /> | {{cells|28}}<br /> |-<br /> ! {{period|8|brief}}<br /> | [[figure eight]]<br /> |Simon Norton<br /> | 1970<br /> | [[figure eight]]<br /> | {{cells|12}}<br /> |-<br /> ! {{period|9|brief}}<br /> | [[worker bee]]<br /> |David Buckingham<br /> | 1972<br /> | [[29P9]]<br /> | {{cells|29}}<br /> |-<br /> ! {{period|10|brief}}<br /> | [[42P10.3]]<br /> |David Buckingham<br /> | &amp;le;{{year|1976}}<br /> | [[24P10]]<br /> | {{cells|24}}<br /> |-<br /> ! {{period|11|brief}}<br /> | [[38P11.1]]<br /> |David Buckingham<br /> | {{year|1977}}<br /> | [[rattlesnake]]<br /> | {{cells|33}}<br /> |-<br /> ! {{period|12|brief}}<br /> | [[dinner table]]<br /> |[[Robert Wainwright]]<br /> | {{year|1972}}<br /> | [[dinner table]]<br /> | {{cells|33}}<br /> |-<br /> ! {{period|13|brief}}<br /> | [[Buckingham's p13]]<br /> |David Buckingham<br /> | 1976<br /> | [[Beluchenko's p13]]<br /> | {{cells|34}}<br /> |-<br /> ! {{period|14|brief}}<br /> | [[tumbler]]<br /> |[[George Collins]]<br /> | 1970<br /> | [[tumbler]]<br /> | {{cells|16}}<br /> |-<br /> ! {{period|15|brief}}<br /> | [[pentadecathlon]]<br /> |John Conway<br /> | 1970<br /> | [[pentadecathlon]]<br /> | {{cells|12}}<br /> |-<br /> ! {{period|16|brief}}<br /> | [[two pre-L hasslers]]<br /> |Robert Wainwright<br /> | {{year|1983}}<br /> | [[Rob's p16]]<br /> | {{cells|21}}<br /> |-<br /> ! {{period|17|brief}}<br /> | [[54P17.1]]<br /> |[[Dean Hickerson]]<br /> | {{year|1997}}<br /> | [[honey thieves]]<br /> | {{cells|36}}<br /> |-<br /> ! {{period|18|brief}}<br /> | [[117P18]]<br /> |David Buckingham<br /> | &amp;le;{{year|1991}}<br /> | [[p18 bi-block hassler]]<br /> | {{cells|43}}<br /> |-<br /> ! class=&quot;red_td&quot; | 19<br /> | colspan=&quot;6&quot; style=&quot;background-color:#ffeeee; color:#880000&quot; align=&quot;center&quot; | ''None found''<br /> |-<br /> ! {{period|20|brief}}<br /> | [[145P20]]<br /> |[[Noam Elkies]]<br /> | {{year|1995}}<br /> | [[dockyard]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|21|brief}}<br /> | [[124P21]]<br /> |Robert Wainwright<br /> | 1995<br /> | [[honey farm hassler|p21 honey farm hassler]]<br /> | {{cells|60}}<br /> |-<br /> ! {{period|22|brief}}<br /> | [[168P22.1]]<br /> |Noam Elkies<br /> | 1997<br /> | [[Jason's p22]]<br /> | {{cells|36}}<br /> |-<br /> ! {{period|23|brief}}<br /> | [[David Hilbert]]<br /> |[[Luka Okanishi]], [[praosylen]]<br /> | {{year|2019}}<br /> | [[David Hilbert]]<br /> | {{cells|122}}<br /> |-<br /> ! {{period|24|brief}}<br /> | [[186P24]]<br /> |[[Bill Gosper]]<br /> | {{year|1994}}<br /> | [[p24 shuttle]]<br /> | {{cells|38}}<br /> |-<br /> ! {{period|25|brief}}<br /> | [[134P25]]<br /> |Noam Elkies<br /> | 1994<br /> | [[p25 pre-pulsar shuttle]]<br /> | {{cells|83}}<br /> |-<br /> ! {{period|26|brief}}<br /> | [[p26 pre-pulsar shuttle]]<br /> |David Buckingham<br /> | 1983<br /> | [[p26 pre-pulsar shuttle]]<br /> | {{cells|144}}<br /> |-<br /> ! {{period|27|brief}}<br /> | [[123P27.1]]<br /> |Noam Elkies<br /> | {{year|2002}}<br /> | [[56P27]]<br /> | {{cells|56}}<br /> |-<br /> ! {{period|28|brief}}<br /> | [[newshuttle]]<br /> |David Buckingham<br /> | {{year|1973}}<br /> | [[p28 pre-pulsar shuttle]]<br /> | {{cells|53}}<br /> |-<br /> ! {{period|29|brief}}<br /> | [[p29 pre-pulsar shuttle]]<br /> |David Buckingham<br /> | {{year|1980}}<br /> | [[p29 pre-pulsar shuttle]]<br /> | {{cells|54}}<br /> |-<br /> ! {{period|30|brief}}<br /> | [[queen bee shuttle]]<br /> |Bill Gosper<br /> | 1970<br /> | [[queen bee shuttle]]<br /> | {{cells|20}}<br /> |-<br /> ! {{period|31|brief}}<br /> | [[Merzenich's p31]]<br /> |[[Matthias Merzenich]]<br /> | {{year|2010}}<br /> | [[Merzenich's p31]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|32|brief}}<br /> | [[gourmet]]<br /> |David Buckingham<br /> | {{year|1978}}<br /> | [[p32 honey farm hassler]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|33|brief}}<br /> | [[Jason's p33]]<br /> |Jason Summers<br /> | 2000<br /> | [[Jason's p33]]<br /> | {{cells|60}}<br /> |-<br /> ! {{period|34|brief}}<br /> | colspan=&quot;6&quot; style=&quot;background-color:#ffeeee; color:#880000&quot; align=&quot;center&quot; | ''No non-trivial examples found''<br /> |-<br /> ! {{period|35|brief}}<br /> | [[p35 beehive hassler]]<br /> |Dean Hickerson<br /> | 1995<br /> | [[p35 honey farm hassler]]<br /> | {{cells|44}}<br /> |-<br /> ! {{period|36|brief}}<br /> | [[p36 toad hassler]]<br /> |Robert Wainwright<br /> | 1984<br /> | [[22P36]]<br /> | {{cells|22}}<br /> |-<br /> ! {{period|37|brief}}<br /> | [[Beluchenko's p37]]<br /> |[[Nicolay Beluchenko]]<br /> | {{year|2009}}<br /> | [[Beluchenko's p37]]<br /> | {{cells|124}}<br /> |-<br /> ! class=&quot;red_td&quot; | 38<br /> | colspan=&quot;6&quot; style=&quot;background-color:#ffeeee; color:#880000&quot; align=&quot;center&quot; | ''None found''<br /> |-<br /> ! {{period|39|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|40|brief}}<br /> | [[p40 B-heptomino shuttle]]<br /> |David Buckingham<br /> | 1991<br /> | [[Beluchenko's p40]]<br /> | {{cells|26}}<br /> |-<br /> ! class=&quot;red_td&quot; | 41<br /> | colspan=&quot;6&quot; style=&quot;background-color:#ffeeee; color:#880000&quot; align=&quot;center&quot; | ''None found''<br /> |-<br /> ! {{period|42|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p42 pulsar hassler]]<br /> | {{cells|148}}<br /> |-<br /> ! {{period|43|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|44|brief}}<br /> | [[p44 pi-heptomino hassler]]<br /> |David Buckingham<br /> | 1992<br /> | [[p44 pi-heptomino hassler]]<br /> | {{cells|102}}<br /> |-<br /> ! {{period|45|brief}}<br /> | Capped [[period-45 glider gun]]<br /> |Matthias Merzenich<br /> | 2010<br /> | [[p45 pi-heptomino hassler]] monomer<br /> | {{cells|81}}<br /> |-<br /> ! {{period|46|brief}}<br /> | [[twin bees shuttle]]<br /> |Bill Gosper<br /> | 1971<br /> | [[twin bees shuttle]]<br /> | {{cells|28}}<br /> |-<br /> ! {{period|47|brief}}<br /> | [[p47 pre-pulsar shuttle]]<br /> |David Buckingham<br /> | {{year|1982}}<br /> | [[p47 pre-pulsar shuttle]]<br /> | {{cells|84}}<br /> |-<br /> ! {{period|48|brief}}<br /> | [[p48 toad hassler]]<br /> |Bill Gosper<br /> | 1994<br /> | [[69P48]]<br /> | {{cells|69}}<br /> |-<br /> ! {{period|49|brief}}<br /> | [[p49 glider shuttle]]<br /> |Noam Elkies<br /> | {{year|1999}}<br /> | [[p49 skewed pulsar hassler]]<br /> | {{cells|784}}<br /> |-<br /> ! {{period|50|brief}}<br /> | [[p50 traffic jam]]<br /> |Noam Elkies<br /> | 1994<br /> | [[p50 traffic jam]]<br /> | {{cells|92}}<br /> |-<br /> ! {{period|51|brief}}<br /> | [[Beluchenko's p51]]<br /> |Nicolay Beluchenko<br /> | 2009<br /> | [[Beluchenko's p51]]<br /> | {{cells|112}}<br /> |-<br /> ! {{period|52|brief}}<br /> | [[Four eaters hassling lumps of muck]]<br /> |David Buckingham<br /> | 1977<br /> | [[four eaters hassling lumps of muck]]<br /> | {{cells|35}}<br /> |-<br /> ! {{period|53|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|54|brief}}<br /> | [[p54 shuttle]]<br /> |David Buckingham<br /> | {{year|1973}}<br /> | [[p54 shuttle]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|55|brief}}<br /> | [[p55 pre-pulsar hassler]]<br /> |David Buckingham<br /> | {{year|1986}}<br /> | [[p55 pre-pulsar hassler]]<br /> | {{cells|136}}<br /> |-<br /> ! {{period|56|brief}}<br /> | [[p56 B-heptomino shuttle]]<br /> |David Buckingham<br /> | &amp;le;1991<br /> | [[p56 B-heptomino shuttle]]<br /> | {{cells|45}}<br /> |-<br /> ! {{period|57|brief}}<br /> | Capped period-57 glider gun<br /> |David Raucci<br /> | 2021<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|58|brief}}<br /> | [[p58 toadsucker]]<br /> |Bill Gosper<br /> | 1994<br /> | [[p58 pre-pulsar shuttle]]<br /> | {{cells|104}}<br /> |-<br /> ! {{period|59|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|60|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[two queen bee shuttles hassling blinker]]<br /> | {{cells|33}}<br /> |-<br /> ! {{period|61|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|62|brief}}<br /> | [[110P62]]<br /> |Noam Elkies<br /> | {{year|2010}}<br /> | [[66P62]]<br /> | {{cells|66}}<br /> |-<br /> ! {{period|63|brief}}<br /> | p63 skewed pulsar hassler&lt;!-- on discovery userpage --&gt;<br /> |David Raucci<br /> | {{year|2021}}<br /> | [[p63 skewed pulsar hassler]]<br /> | {{cells|244}}<br /> |-<br /> ! {{period|64|brief}}<br /> | [[Merzenich's p64]]<br /> |Matthias Merzenich<br /> | {{year|2010}}<br /> | [[Merzenich's p64]]<br /> | {{cells|34}}<br /> |-<br /> ! {{period|65|brief}}<br /> | p65 [[pre-pulsar shuttle]]<br /> |David Raucci<br /> | {{year|2021}}<br /> | [[pre-pulsar shuttle|p65 pre-pulsar shuttle]]<br /> | {{cells|454}}<br /> |-<br /> ! {{period|66|brief}}<br /> | p66 R-pentomino hassler&lt;!-- on discovery userpage --&gt;<br /> |David Raucci<br /> | {{year|2021}}<br /> | [[p66 R-pentomino hassler]]<br /> | {{cells|552}}<br /> |-<br /> ! {{period|67|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|68|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|69|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|70|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[78P70]]<br /> | {{cells|78}}<br /> |-<br /> ! {{period|71|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|72|brief}}<br /> | [[two blockers hassling R-pentomino]]<br /> |Robert Wainwright<br /> | 1990<br /> | [[two blockers hassling R-pentomino]]<br /> | {{cells|47}}<br /> |-<br /> ! {{period|73|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|74|brief}}<br /> | p74 [[honey farm hassler]]&lt;!-- yes, this was earlier than Raucci's p74 --&gt;<br /> |David Raucci<br /> | {{year|2021}}<br /> | [[Raucci's p74]]<br /> | {{cells|84}}<br /> |-<br /> ! {{period|75|brief}}<br /> | [[6 bits]]<br /> |[[Robert Wainwright]]<br /> | 1984<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|76|brief}}<br /> | [[p76 pi-heptomino hassler]]<br /> |David Raucci<br /> | {{year|2021}}<br /> | [[p76 pi-heptomino hassler]] {{LinkCatagolue|xp76_32aczwsy1sy7sb4zy0222zyackgossssogkczy83552y42553|patternname=variant|style=raw}}<br /> | {{cells|57}}<br /> |-<br /> ! {{period|77|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|78|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|79|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|80|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[two Beluchenko's p40s hassling blinker]]<br /> | {{cells|59}}<br /> |-<br /> ! {{period|81|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|82|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|83|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|84|brief}}<br /> | [[52P84]]<br /> |[[Jason Summers]]<br /> | 2007<br /> | [[52P84]]<br /> | {{cells|52}}<br /> |-<br /> ! {{period|85|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|86|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|87|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[84P87]]<br /> | {{cells|84}}<br /> |-<br /> ! {{period|88|brief}}<br /> | Period-doubled [[p44 pi-heptomino hassler]]<br /> |Dean Hickerson<br /> | 1994<br /> | [[49P88]]<br /> | {{cells|49}}<br /> |-<br /> ! {{period|89|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|90|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[diuresis]]<br /> | {{cells|66}}<br /> |-<br /> ! {{period|91|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|92|brief}}<br /> | Capped period-92 glider gun<br /> |Dean Hickerson<br /> | 1991<br /> | [[50P92.1]]<br /> | {{cells|50}}<br /> |-<br /> ! {{period|93|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|94|brief}}<br /> | capped [[AK-47 reaction|AK-47]] gun<br /> |Dean Hickerson<br /> | 1990<br /> | {{LinkCatagolue|xp94_x696o8b9czy065x33xc871xggzooyd643zwgg04ahhha4y5c871z4701yfoozw8e13xggzy34701xmmggo5jzya146w343|patternname=capped|style=raw}} [[AK-94]]<br /> | {{cells|110}}<br /> |-<br /> ! {{period|95|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|96|brief}}<br /> | p96 [[Hans Leo hassler]]<br /> |Noam Elkies<br /> | 1995<br /> | [[p96 honey farm hassler]]<br /> | {{cells|63}}<br /> |-<br /> ! {{period|97|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|98|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[R49|p98 R49 loop]]<br /> | {{cells|146}}<br /> |-<br /> ! {{period|99|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|100|brief}}<br /> | [[centinal]]<br /> |Bill Gosper<br /> | &amp;le;{{year|1987}}<br /> | [[centinal]]<br /> | {{cells|70}}<br /> |-<br /> ! {{period|101|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|102|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Beluchenko's p51|two Beluchenko's p51s hassling beehive]]<br /> | {{cells|249}}<br /> |-<br /> ! {{period|103|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|104|brief}}<br /> | [[B-52 bomber]]<br /> |Noam Elkies<br /> | 1996<br /> | capped [[B-52 bomber]]<br /> | {{cells|95}}<br /> |-<br /> ! {{period|105|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|106|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|107|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|108|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|109|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|110|brief}}<br /> | [[p110 traffic jam]]<br /> |Bill Gosper<br /> | 1994<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|111|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|112|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|113|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[nihonium]]<br /> | {{cells|106}}<br /> |-<br /> ! {{period|114|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|115|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|116|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|117|brief}}<br /> | Capped [[period-117 glider gun]]<br /> |David Raucci<br /> | {{year|2021}}<br /> | {{LinkCatagolue|xp117_8oy3nl6z0123ws21913y9ooy1ggoz8e13x12mmjycggg32y0ca23zy5321yb2ddd2zy1ccyo66zy68mmm8ybg8oz0o8a6y08o111ycpdd8gxoge2zy3311y133y9ogig87wo8gzyqclty332|patternname=capped|style=raw}} [[period-117 glider gun]]<br /> | {{cells|162}}<br /> |-<br /> ! {{period|118|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|119|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|120|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp120_ygca23zykooy1oozyn66zggw660ggy5sgoz11y111y71zy5c453|patternname=capped|style=raw}} [[Simkin glider gun]]<br /> | {{cells|45}}<br /> |-<br /> ! {{period|121|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|122|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[L122|p122 L122p2 loop]]<br /> | {{cells|184}}<br /> |-<br /> ! {{period|123|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|124|brief}}<br /> | [[p124 lumps of muck hassler]]<br /> |Dean Hickerson<br /> | 1994<br /> | [[p124 lumps of muck hassler]]<br /> | {{cells|144}}<br /> |-<br /> ! {{period|125|brief}}<br /> | p125 pi-heptomino hassler &lt;!-- oscillator discussion thread, page 88 --&gt;<br /> | praosylen<br /> | 2021<br /> | p125 pi-heptomino hassler<br /> | {{cells|208}}<br /> |-<br /> ! {{period|126|brief}}<br /> | p126 pi-heptomino hassler &lt;!-- in hotdogPi's userspace --&gt;<br /> | Multiple &lt;!-- David Raucci, praosylen, and Matthias Merzenich, but it won't fit on one line --&gt;<br /> | 2021<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|127|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|128|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp128_y3ca73oswcczyqg88gzy1ggyh6bbcxca4z8ko010onmcy04eewuscy26dt30g0352z4a6x6qqcyh11zy01221zyh66w73osa6|patternname=p128 wing shuttle|style=raw}}<br /> |{{cells|108}}<br /> |-<br /> ! {{period|129|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|130|brief}}<br /> | [[p130 shuttle]]<br /> |[[David Eppstein]]<br /> | 2001<br /> | [[p130 shuttle]]<br /> | {{cells|124}}<br /> |-<br /> ! {{period|131|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|132|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p44 pi-heptomino hassler|p132 pi-heptomino hassler]]<br /> | {{cells|132}}<br /> |-<br /> ! {{period|133|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|134|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|135|brief}}<br /> | [[106P135]]<br /> |Bill Gosper<br /> | {{year|1989}}<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|136|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|137|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|138|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Gabriel's p138]]<br /> | {{cells|36}}<br /> |-<br /> ! {{period|139|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|140|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|141|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p47 pre-pulsar shuttle phase-shifting 28P7.1]]<br /> | {{cells|114}}<br /> |-<br /> ! {{period|142|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|143|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|144|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Achim's p144]]<br /> | {{cells|42}}<br /> |-<br /> ! {{period|150|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|152|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|156|brief}}<br /> | [[p156 Hans Leo hassler]]<br /> |Noam Elkies<br /> | 1995<br /> | [[Jason's p156]]<br /> | {{cells|92}}<br /> |-<br /> ! {{period|165|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|168|brief}}<br /> | [[Pi orbital]]<br /> |Noam Elkies<br /> | 1995<br /> | [[pi orbital]]<br /> | {{cells|197}}<br /> |-<br /> ! {{period|177|brief}}<br /> | [[Karel's p177]]<br /> |Karel Suhadja<br /> | 2007<br /> | [[Karel's p177]]<br /> | {{cells|104}}<br /> |-<br /> ! {{period|184|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp184_y2gy432acz8ox2251z0123zyr62sgzye65134w16zyn4o68zyj6a8o/b3s23|patternname=capped|style=raw}} [[period-184 glider gun]] <br /> | {{cells|50}}<br /> |-<br /> ! {{period|186|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|188|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[AK-94]] {{LinkCatagolue|xp188_x696o8b9czy065x33xc871wbdzoozwgg04ahhha4y5c871z4701yfoozxggy0ggzx56w4701xmmggo5jzya146w343|patternname=with boat-bits|style=raw}}<br /> | {{cells|108}}<br /> |-<br /> ! {{period|196|brief}}<br /> | [[p196 pi-heptomino hassler]]<br /> |David Raucci<br /> | 2021<br /> | [[p196 pi-heptomino hassler]]<br /> | {{cells|66}}<br /> |-<br /> ! {{period|200|brief}}<br /> | p200 [[traffic jam]]<br /> |Bill Gosper<br /> | 1994<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|217|brief}}<br /> | [[Raucci's p217]]<br /> |David Raucci<br /> | {{year|2021}}<br /> | [[Raucci's p217]]<br /> | {{cells|236}}<br /> |-<br /> ! {{period|226|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[nihonium*]]<br /> | {{cells|107}}<br /> |-<br /> ! {{period|230|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|240|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Simkin glider gun]] {{LinkCatagolue|xp240_y13213zccy1cczy033zy8s8ey5oo033woozzyk3213|patternname=with boat-bits|style=raw}}<br /> | {{cells|43}}<br /> |-<br /> ! {{period|246|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[period-246 glider gun]] {{LinkCatagolue|xp246_ya32acydg8k8ooozyu1utzzzybcirrd6y4cc4zy1ggy61zggwg9g89z14w61ye354c|patternname=relative|style=raw}}<br /> | {{cells|68}}<br /> |-<br /> ! {{period|256|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp256_yr33y166z0ggy033y4178cyb33y0ccz011w66z66yyg88czy4699voyn11zy38ox61zy1311yz66zyzx66woozy133y0ccyb31e8y4cczy566y1cc|patternname=capped|style=raw}} [[period-256 glider gun]]<br /> | {{cells|104}}<br /> |-<br /> ! {{period|276|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[two Gabriel's p138s hassling block]]<br /> | {{cells|76}}<br /> |-<br /> ! {{period|300|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|312|brief}}<br /> | [[60P312]]<br /> |Dave Greene<br /> | 2004<br /> | [[60P312]]<br /> | {{cells|60}}<br /> |-<br /> ! {{period|320|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|360|brief}}<br /> | Period-360 glider gun<br /> |David Buckingham<br /> | 1992<br /> | {{LinkCatagolue|xp360_yt32aczzyzy2330ggcswoozyl178cyf1ppzzyzy6cczy1ccy2633usyq6om2zy06om2y158x6yq33zy133zy1ggzggwg9poyf31e8z11w33xcczzyf354c|patternname=capped|style=raw}} [[period-360 glider gun]]<br /> | {{cells|108}}<br /> |-<br /> ! {{period|368|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[period-184 glider gun]] {{LinkCatagolue|xp368_y0gy632aczy01156zzggyp62sgz56yc65134w16zync4ozy8o8goy911|patternname=with boat-bits|style=raw}}<br /> | {{cells|50}}<br /> |-<br /> ! {{period|486|brief}}<br /> | [[p486 R-pentomino hassler]]<br /> |David Raucci<br /> | {{year|2021}}<br /> | [[p486 R-pentomino hassler]]<br /> | {{cells|142}}<br /> |-<br /> ! {{period|492|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[period-246 glider gun]] {{LinkCatagolue|xp492_y0o4qa344ozx118f0dc3z8oyago0ab2sycc871z0123y9126e431zy8ooz0mqzyt66w7bcczyy66|patternname=with boat-bit|style=raw}}<br /> | {{cells|87}}<br /> |-<br /> ! {{period|496|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|504|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp504_ym356zy364koyh696y6g0s4zyjc871ye11zzy12552yg2bq4y4o8zca6y3oggyp113y3ca6zy823ys8kk8zzy4ggyegs26zy24701y6cicyh354czymcko|patternname=R126 loop|style=raw}}<br /> | {{cells|111}}<br /> |-<br /> ! {{period|512|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[period-256 glider gun]] {{LinkCatagolue|xp512_yr33y166z0ggy033y16426ye33y0ccz011w66yuggz66yz56zzzy2mqyz66zygckgk2a21ya66woozy133y0ccye6426y1cczy566y1cc|patternname=with boat-bits|style=raw}}<br /> | {{cells|100}}<br /> |-<br /> ! {{period|576|brief}}<br /> | [[p576 R-pentomino hassler]]<br /> |David Raucci<br /> | {{year|2021}}<br /> | [[p576 R-pentomino hassler]]<br /> | {{cells|184}}<br /> |-<br /> ! {{period|808|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|856|brief}}<br /> | [[p856 Herschel loop gun]]<br /> | [[David Buckingham]]<br /> | 1991<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|1008|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp1008_y48oyc356zy432yi696y9o8gozyjc871zzy12552yg2bq4y4o8zca6y3oggyp113y3ca6zy823ys8kk8zzyogs26zx3123y9cicyi8ozymckoyc32|patternname=R126 loop with boat-bits|style=raw}}<br /> | {{cells|107}}<br /> |-<br /> ! {{period|2700|brief}}<br /> | [[crystallization and decay oscillator]]<br /> |[[Dean Hickerson]]<br /> | 1990<br /> | [[Crystallization and decay oscillator]]<br /> | {{cells|144}}<br /> |}</div>

Praosylen https://conwaylife.com/w/index.php?title=User:Testitemqlstudop/POTY2019_Nominations&diff=86221 2021-12-20T20:20:04Z

<p>Praosylen: sorry about this! going through the whole wiki doing this, not just your user pages</p> <hr /> <div>Note: In no way does the order of the following pattern(s) demonstrate my opinion towards them. They are randomly shuffled.<br /> <br /> # [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3604 Systematic survey of small patterns]: a systematic survey of all patterns up to 9 cells, as well as a survey of all single-cluster 10-cell patterns resulting in the discovery of two record-breaking 10-celled methuselae, [[bunnies 10a]] and [[bunnies 10b]].<br /> # [http://www.conwaylife.com/forums/viewtopic.php?p=82560#p82560 Glider] [https://www.conwaylife.com/forums/viewtopic.php?p=83979#p83979 syntheses], both of which spanned a large period of time and collective effort, providing an effective lower bound for bit counts in synthesisable still lifes (Tanner Jacobi, Goldtiger997, Jeremy Tan, Adam P. Goucher, et al.)<br /> # [https://www.conwaylife.com/forums/viewtopic.php?p=71925#p71925 Stable variant of cyclotron] (Goldtiger997, with earlier work by Dean Hickerson, Paul Callahan and Adam P. Goucher)<br /> # [[66P13]] and variations, allowing for bumpers and other mechanisms (Bullet51 and praosylen)<br /> # [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3124&amp;start=25#p86540 Slavic], the current smallest universal-constructor based quadratic growth. (Pavel Grankovskiy)<br /> # [[Scholar]], second elementary 2c/7, discovered with the novel search program lsss (Andrew Wade)<br /> # [[46P4H1V0]] synthesis and [https://www.conwaylife.com/forums/viewtopic.php?p=84423#p84423 gun] (Tanner Jacobi, Matthias Merzenich, Martin Grant, and Goldtiger997)<br /> # [[David Hilbert]], the first known period-23 oscillator and the first new oscillator period in over half a decade (Luka Okanishi and praosylen)<br /> # [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=3982&amp;p=85846#p85846 p250 c/10 orthogonal rake] by christoph r, the first c/10 rake with a period below 320, as well as the lowest period so far achieved for a c/10 rake.<br /> # [[Remini]], a universal constructor based puffer, purely made with p30 technology. (Michael Simkin)<br /> # [[230P8]], high-clearance p8 domino sparker (Fredrick Johansson, wildmyron on forums)<br /> # [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=4240&amp;p=86701#p86834 New gun designs], clever new gun components that allow the reduction of a large number of glider guns in the small guns collection. (Tanner Jacobi)<br /> # [http://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=3878 Mountain range patterns], patterns exhibiting irregular and inconsistent growth (Dean Hickerson)<br /> # [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=576&amp;p=84247#p84247 Hackersaw], a logarithmic growth pattern with a sawtooth-like population graph. (Gustone)<br /> # [[47575M]] and relatives, a record-breaking non-switch-engine-based methuselah (Adam P. Goucher)<br /> # [https://conwaylife.com/forums/viewtopic.php?p=76571#p76571 60-line c/10 printer], an easy-to-use c/10 printer that can copy and print a picture 60 lines tall. (GilGil)<br /> # [[Dueling banjos]]. used to drastically reduce many gun periods by allowing for the construction of a smaller p24 glider gun (Apple Bottom)<br /> # [[p49 skewed pulsar hassler]], the first known p49 that isn't a glider loop (by Martin Grant, based on a supported version found by Jason Summers)<br /> # [[Knightwave]] stabilization, completing a [[grammar]] allowing for an infinite number of distinct knightships (Matthias Merzenich)<br /> # [[R49]], a very useful and compact pre-Herschel turner/advancer (Entity Valkyrie, Luka Okanishi)<br /> # [[Spider]] synthesis - the largest elementary spaceship synthesis to date, and the first synthesis of a c/5 spaceship (original synthesis by Martin Grant, with reductions by many)<br /> # [https://www.conwaylife.com/forums/viewtopic.php?p=84877#p84877 Phoenix agars], oscillating patterns living on a period-2 phoenix background that emulate some bounded rule 18 patterns (Alex Greason, BlinkerSpawn, Dongook Lee, and Fredrick Johansson [wildmyron on forums])</div>

Praosylen https://conwaylife.com/w/index.php?title=User_talk:Saka/Glitch&diff=86217 2021-12-20T20:19:00Z

<p>Praosylen: argh</p> <hr /> <div>Smh, why does this have to exist (I &lt;i&gt;so&lt;/i&gt; did not ask for people to start calling it that, fyi everyone)... I literally can't do a single thing to fix this for me without completely ruining it. I guess I'll leave it for now in case you have a lot of attachment to it, and I'll admit it's kind of a fun dramatization, but, like, it literally hurts me to read, so...– [[User:Praosylen|Praosylen]] ([[User talk:Praosylen|talk]]) 20:19, 20 December 2021 (UTC)</div>

Praosylen https://conwaylife.com/w/index.php?title=User:Ian07/Cyclic&diff=86213 2021-12-20T20:08:29Z

<p>Praosylen: ok yeah I really hope you don&#039;t mind me editing random pages in your user namespace — not much to be done about it if you don&#039;t, but I&#039;ll leave everything else alone besides references to me</p> <hr /> <div>List of people who have accidentally rediscovered [[cyclic]]:<br /> <br /> *2006: Ian Osgood&lt;ref name=&quot;Catagolue&quot;&gt;{{CiteCatagolue|page=object/xp2_g8861dmo8gz123dmgc221/b3s23|title=Cyclic|accessdate=February 6, 2021}}&lt;/ref&gt;<br /> *2010: [[Martin Grant]]&lt;ref name=&quot;post3909&quot; /&gt;<br /> *2012: One anonymous Catagolue commenter&lt;ref name=&quot;Catagolue&quot; /&gt;<br /> *2013: Alex3627ca&lt;ref name=&quot;post7784&quot; /&gt;{{refn|group=note|Apparently, using a slightly different predecessor from the standard bakery + 2 cells.}}<br /> *2013: mkatz&lt;ref name=&quot;post7995&quot; /&gt;<br /> *2014: [[praosylen]]&lt;ref name=&quot;post13252&quot; /&gt; and muzik&lt;ref name=&quot;post27752&quot; /&gt;<br /> *2018: Ian07&lt;ref&gt;Dude trust me&lt;/ref&gt;<br /> *2021: E-Sandy&lt;ref name=&quot;post121955&quot; /&gt;<br /> <br /> (if I missed any forum and/or Discord posts, please feel free to add them to the list)<br /> <br /> ==Notes==<br /> &lt;references group=note /&gt;<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post3909&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 3909<br /> |author = Martin Grant<br /> |date = November 30, 2010<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post7784&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 7784<br /> |author = Alex3627ca<br /> |date = April 20, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post7995&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 7995<br /> |author = mkatz<br /> |date = May 17, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post13252&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Useless Discoveries<br /> |p = 13252<br /> |author = praosylen<br /> |date = September 14, 2014<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post27752&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread for your unsure discoveries<br /> |p = 27752<br /> |author = muzik<br /> |date = February 24, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post121955&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Useless Discoveries<br /> |p = 121955<br /> |author = E-Sandy<br /> |date = February 6, 2021<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;</div>

Praosylen https://conwaylife.com/w/index.php?title=User:Ian07/Still_life_islands&diff=86210 2021-12-20T20:05:53Z

<p>Praosylen: sorry! (dvgrn put me up to this, blame him... not that I&#039;m opposed)</p> <hr /> <div>'''NOTE: All users are welcome to edit this page if they make any additions/improvements!'''<br /> <br /> This is an attempt to find the smallest (by population, then by bounding box) possible stabilizations of as many still life [[island]]s as possible, as taken from the [https://catagolue.appspot.com/census/bs23/C1 bs23 census] on [[Catagolue]]. It is a spin-off of [https://www.conwaylife.com/forums/viewtopic.php?f=12&amp;t=4283 this forum thread]. If you find an improvement to one of these, feel free to add them either here or on the thread.<br /> <br /> Some islands, such as {{LinkCatagolue|xs7_jt|rule=bs23|style=raw}}, are impossible to solve because they contain dead cells with three live neighbors and five dead neighbors all of which are connected to live cells. These are not listed here.<br /> <br /> Here is the template to add new rows to the table:<br /> &lt;nowiki&gt;|-&lt;/nowiki&gt;<br /> &lt;nowiki&gt;| {{LinkCatagolue|ISLAND APGCODE|rule=bs23|style=raw}} || {{LinkCatagolue|STABILIZED APGCODE|style=raw}} || YOUR NAME&lt;/nowiki&gt;<br /> &lt;!-- (remove the &lt;nowiki&gt; tags) --&gt;<br /> <br /> {| class=&quot;wikitable sortable&quot;<br /> ! Island [[apgcode]] !! Stabilized [[apgcode]] !! Found by<br /> |-<br /> | {{LinkCatagolue|xs10_1vz47|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_o8baab8ozx33|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs10_1vz65|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_o8bb88gozxbd|style=raw}} || yujh<br /> |-<br /> | {{LinkCatagolue|xs10_26hv|rule=bs23|style=raw}} || {{LinkCatagolue|xs27_w628chv04a4z64139c|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs10_2js26|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_ggkc0cp3z1w39c|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs10_311ui|rule=bs23|style=raw}} || {{LinkCatagolue|xs26_wgil688czg89c0f9z11|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs10_354453|rule=bs23|style=raw}} ([[dock]]) || {{LinkCatagolue|xs14_j1u066z11|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs10_3544ko|rule=bs23|style=raw}} || {{LinkCatagolue|xs24_354c0s2mzx32101156|style=raw}} || Hunting<br /> |-<br /> | {{LinkCatagolue|xs10_4ara4|rule=bs23|style=raw}} || {{LinkCatagolue|xs32_4a40vh4ehe4hv04a4|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs10_4ehr|rule=bs23|style=raw}} || {{LinkCatagolue|xs21_4a40vh4ehr|style=raw}} || ColorfulGalaxy<br /> |-<br /> | {{LinkCatagolue|xs10_drz23|rule=bs23|style=raw}} || {{LinkCatagolue|xs14_32132qr|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs10_fpz23|rule=bs23|style=raw}} || {{LinkCatagolue|xs18_o8brggozx66|style=raw}} || ColorfulGalaxy<br /> |-<br /> | {{LinkCatagolue|xs10_xgc31z621|rule=bs23|style=raw}} || {{LinkCatagolue|xs43_x354mi8cz628c2pgie139czw3552|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs11_311d96|rule=bs23|style=raw}} ([[worm]]) || {{LinkCatagolue|xs15_69b88czw252|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs11_35444ko|rule=bs23|style=raw}} || {{LinkCatagolue|xs19_gbb88a6z11w33|style=raw}} || ColorfulGalaxy<br /> |-<br /> | {{LinkCatagolue|xs11_u93z32|rule=bs23|style=raw}} ([[bookend siamese table]]) || {{LinkCatagolue|xs15_09v0ccz321|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs12_255d96|rule=bs23|style=raw}} ([[racetrack]]) || {{LinkCatagolue|xs16_4aab96z033|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs12_3546453|rule=bs23|style=raw}} ([[very long house]]) || {{LinkCatagolue|xs16_39u08k8z321|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs12_f99f|rule=bs23|style=raw}} || {{LinkCatagolue|xs28_oo0o8brzxrq23033|style=raw}} || ColorfulGalaxy<br /> |-<br /> | {{LinkCatagolue|xs13_178baa4|rule=bs23|style=raw}} ([[anvil]]) || {{LinkCatagolue|xs17_178baa4zw33|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs15_3555597|rule=bs23|style=raw}} || {{LinkCatagolue|xs31_g4s0v1u08oz11wraip|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs15_4aar0o8zx121|rule=bs23|style=raw}} || {{LinkCatagolue|xs19_4aar0rbzx121|style=raw}} || ColorfulGalaxy<br /> |-<br /> | {{LinkCatagolue|xs19_v1ugzf87|rule=bs23|style=raw}} || {{LinkCatagolue|xs41_255mggoggm552zw32qq2qq23|style=raw}} || James Pascua<br /> |-<br /> | {{LinkCatagolue|xs20_69bo8gob96|rule=bs23|style=raw}} || {{LinkCatagolue|xs24_69bobjob96|style=raw}} || ColorfulGalaxy<br /> |-<br /> | {{LinkCatagolue|xs3_13|rule=bs23|style=raw}} ([[pre-block]]) || {{LinkCatagolue|xs6_39c|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs4_27|rule=bs23|style=raw}} ([[T-tetromino]]) || {{LinkCatagolue|xs16_39s0qmz32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs4_36|rule=bs23|style=raw}} || {{LinkCatagolue|xs10_0cp3z32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs6_134c|rule=bs23|style=raw}} || {{LinkCatagolue|xs12_641j4czx11|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs6_13c4|rule=bs23|style=raw}} || {{LinkCatagolue|xs17_0cp3c4goz321|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs6_13c8|rule=bs23|style=raw}} || {{LinkCatagolue|xs22_3pe0o8zw230ejo|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs6_1bc|rule=bs23|style=raw}} || {{LinkCatagolue|xs23_03pajk46z622641|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs6_1f8|rule=bs23|style=raw}} ([[Z-hexomino]]) || {{LinkCatagolue|xs18_32138f1c84c|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs6_23c4|rule=bs23|style=raw}} || {{LinkCatagolue|xs12_0ggc93z641|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs6_2bc|rule=bs23|style=raw}} || {{LinkCatagolue|xs22_628chrz3116246|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs6_35c|rule=bs23|style=raw}} ([[block and glider]]) || {{LinkCatagolue|xs18_31kmhrzw56|style=raw}} || Gustone<br /> |-<br /> | {{LinkCatagolue|xs6_9f|rule=bs23|style=raw}} ([[table]]) || {{LinkCatagolue|xs10_32qr|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_134og|rule=bs23|style=raw}} || {{LinkCatagolue|xs39_jhe80j9c0qmz65039c0178c|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_13ac|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_178f1c6hr|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_13co|rule=bs23|style=raw}} || {{LinkCatagolue|xs27_3pe0o8zw638mj871|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_13ko|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_o80j5og4cz0c93|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_13s8|rule=bs23|style=raw}} || {{LinkCatagolue|xs25_039s0cp3zoje032|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_13sg|rule=bs23|style=raw}} || {{LinkCatagolue|xs24_31kmi8czw10qm113|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_178o|rule=bs23|style=raw}} || {{LinkCatagolue|xs17_0j9cz230eic|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_17o8|rule=bs23|style=raw}} || {{LinkCatagolue|xs27_039cggm453z3116io1|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_1bs|rule=bs23|style=raw}} || {{LinkCatagolue|xs26_1784k6iozx19lc226|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_1fo|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_db0ggz31pl46|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_1no|rule=bs23|style=raw}} ([[side]]) || {{LinkCatagolue|xs13_1no3123|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_1rc|rule=bs23|style=raw}} || {{LinkCatagolue|xs27_g39qj9cz11xc93123|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_1v8|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_32138v1oozx32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_1vg|rule=bs23|style=raw}} || {{LinkCatagolue|xs13_641vg4c|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_23ac|rule=bs23|style=raw}} || {{LinkCatagolue|xs13_j5c4goz11|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_23co|rule=bs23|style=raw}} || {{LinkCatagolue|xs21_3pe0oi6zw6jo|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_23ko|rule=bs23|style=raw}} || {{LinkCatagolue|xs29_c48c93g8ozw6413om226|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_23s8|rule=bs23|style=raw}} || {{LinkCatagolue|xs28_06io0e96zg6s16ioz11|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_25ao|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_0raacz4a43146|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_25d2|rule=bs23|style=raw}} || {{LinkCatagolue|xs18_6io0ep3z1221|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_25q8|rule=bs23|style=raw}} || {{LinkCatagolue|xs28_g8g39c826z0d8b9czw252|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_278o|rule=bs23|style=raw}} || {{LinkCatagolue|xs23_06io0e96z320pi6|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_2bs|rule=bs23|style=raw}} || {{LinkCatagolue|xs29_c4go2m0drz622cl91|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_2js|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_64kjaarz3201|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_2no|rule=bs23|style=raw}} || {{LinkCatagolue|xs28_0db0ggzc9b9c54cz0252|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_2rc|rule=bs23|style=raw}} || {{LinkCatagolue|xs29_o80gg39c826zwdl039czw11|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_2rk|rule=bs23|style=raw}} || {{LinkCatagolue|xs28_c4go2mk13z62aklc1|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_32co|rule=bs23|style=raw}} || {{LinkCatagolue|xs23_628c4j146zw355d|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_32ko|rule=bs23|style=raw}} || {{LinkCatagolue|xs19_0j9cz320f952|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_39e|rule=bs23|style=raw}} ([[bookend]]) || {{LinkCatagolue|xs13_39e0db|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_3as|rule=bs23|style=raw}} || {{LinkCatagolue|xs31_g0bq9j08oz178m45dzw11|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_3do|rule=bs23|style=raw}} || {{LinkCatagolue|xs26_g0bqh6k46z11mq011|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs7_3is|rule=bs23|style=raw}} || {{LinkCatagolue|xs16_gie0dbz146|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_3qc|rule=bs23|style=raw}} || {{LinkCatagolue|xs19_0j9czc9303213|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_3qk|rule=bs23|style=raw}} || {{LinkCatagolue|xs16_5bo3123z32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_4ar|rule=bs23|style=raw}} || {{LinkCatagolue|xs13_c9jz39c|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_4bq|rule=bs23|style=raw}} || {{LinkCatagolue|xs21_0c9jzc930ejo|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_4ra|rule=bs23|style=raw}} || {{LinkCatagolue|xs28_39cg7p4ozc930e91|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_697|rule=bs23|style=raw}} ([[bun]]) || {{LinkCatagolue|xs13_69e0mq|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_9v|rule=bs23|style=raw}} || {{LinkCatagolue|xs14_09v04a4z32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_bt|rule=bs23|style=raw}} || {{LinkCatagolue|xs14_0bt066z32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_dr|rule=bs23|style=raw}} || {{LinkCatagolue|xs10_0drz32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_fp|rule=bs23|style=raw}} || {{LinkCatagolue|xs14_64132qr|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs7_hv|rule=bs23|style=raw}} || {{LinkCatagolue|xs18_31e4hv04a4|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_0hfz11|rule=bs23|style=raw}} || {{LinkCatagolue|xs26_gill688czpk6413|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_0r6z11|rule=bs23|style=raw}} || {{LinkCatagolue|xs17_ra24628cz23|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_0t3z11|rule=bs23|style=raw}} || {{LinkCatagolue|xs21_db8oz3pq226|style=raw}} || BlinkerSpawn<br /> |-<br /> | {{LinkCatagolue|xs8_0v1z11|rule=bs23|style=raw}} || {{LinkCatagolue|xs16_giligoz104a4|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs8_0v2z11|rule=bs23|style=raw}} || {{LinkCatagolue|xs19_39c88brzw252|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs8_13124c|rule=bs23|style=raw}} || {{LinkCatagolue|xs31_39e0oi6z0c4gp2c826zx65|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1312c4|rule=bs23|style=raw}} || {{LinkCatagolue|xs37_8ka9e0oi6zw23q98a61aczy023|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1312c8|rule=bs23|style=raw}} || {{LinkCatagolue|xs27_ggwj9cz560728n952|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_13224c|rule=bs23|style=raw}} || {{LinkCatagolue|xs28_1784kmi8czx11wc93146|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1322c4|rule=bs23|style=raw}} || {{LinkCatagolue|xs31_xco2tik8z628s16ioz032|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1322c8|rule=bs23|style=raw}} || {{LinkCatagolue|xs21_0j9cz638n952|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_13244c|rule=bs23|style=raw}} || {{LinkCatagolue|xs28_0g6ch7ob96zc93032|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_13248c|rule=bs23|style=raw}} || {{LinkCatagolue|xs26_c84c3pc0s4ozx65w121|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1324c4|rule=bs23|style=raw}} || {{LinkCatagolue|xs30_x39s0cp3z0g8jm836z23|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_132co|rule=bs23|style=raw}} || {{LinkCatagolue|xs32_ggw3pc0s4oz10qb9k8121zx11|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_132ko|rule=bs23|style=raw}} || {{LinkCatagolue|xs27_4a5lmzca1t4iczx11|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_132s8|rule=bs23|style=raw}} || {{LinkCatagolue|xs31_w4a5lmz3h4e1dkicz011|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_132sg|rule=bs23|style=raw}} || {{LinkCatagolue|xs25_2egm596z4akld|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1342c4|rule=bs23|style=raw}} || {{LinkCatagolue|xs33_0628chbg08oz65134akld|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1342c8|rule=bs23|style=raw}} || {{LinkCatagolue|xs32_x4a5lmz31kmhah023zw1221|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_13444c|rule=bs23|style=raw}} || {{LinkCatagolue|xs21_rb88628czwdb|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_13448c|rule=bs23|style=raw}} || {{LinkCatagolue|xs21_g09v0j9cz11w65|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_13448o|rule=bs23|style=raw}} || {{LinkCatagolue|xs32_9v0c4gz6jo6h18ozy039c|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1344c4|rule=bs23|style=raw}} || {{LinkCatagolue|xs18_0br88628cz32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_1344o8|rule=bs23|style=raw}} || {{LinkCatagolue|xs24_wc9jz628s16ioz032|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_1344og|rule=bs23|style=raw}} || {{LinkCatagolue|xs14_c9jzwpi6|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_13488o|rule=bs23|style=raw}} || {{LinkCatagolue|xs26_wj9cz470ar996zw32|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1348c4|rule=bs23|style=raw}} || {{LinkCatagolue|xs22_3pc0sik8zwpi6|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_1348go|rule=bs23|style=raw}} || {{LinkCatagolue|xs23_mq0c9jzwbdw56|style=raw}} || praosylen<br /> |-<br /> | {{LinkCatagolue|xs8_1348o8|rule=bs23|style=raw}} || {{LinkCatagolue|xs35_ggwj9c0cp3z1oi70ar11zy132|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_139e|rule=bs23|style=raw}} || {{LinkCatagolue|xs23_bd0eiog4czx6426|style=raw}} || GUYTU6J<br /> |-<br /> | {{LinkCatagolue|xs8_1788o|rule=bs23|style=raw}} ([[cover]]) || {{LinkCatagolue|xs12_178br|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_1vz11|rule=bs23|style=raw}} || {{LinkCatagolue|xs15_c88b9czw33|style=raw}} || toroidalet<br /> |-<br /> | {{LinkCatagolue|xs8_259e|rule=bs23|style=raw}} ([[wing]]) || {{LinkCatagolue|xs14_259e0db|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_2d93|rule=bs23|style=raw}} || {{LinkCatagolue|xs22_08o0ep3zraip|style=raw}} || toroidalet<br /> |-<br /> | {{LinkCatagolue|xs8_2d96|rule=bs23|style=raw}} || {{LinkCatagolue|xs16_0co2d96z321|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_31da|rule=bs23|style=raw}} || {{LinkCatagolue|xs27_j9arzqb064koz23|style=raw}} || toroidalet<br /> |-<br /> | {{LinkCatagolue|xs8_3aq4|rule=bs23|style=raw}} || {{LinkCatagolue|xs31_ghn83aq4goz1wbdx346|style=raw}} || toroidalet<br /> |-<br /> | {{LinkCatagolue|xs8_3hu|rule=bs23|style=raw}} ([[long hook]]) || {{LinkCatagolue|xs12_3hu066|style=raw}} || GUYTU6J<br /> |-<br /> | {{LinkCatagolue|xs8_3tz11|rule=bs23|style=raw}} || {{LinkCatagolue|xs23_c88rbz3122qr|style=raw}} || GUYTU6J<br /> |-<br /> | {{LinkCatagolue|xs8_69f|rule=bs23|style=raw}} ([[cap]]) || {{LinkCatagolue|xs12_330f96|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_79e|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_bd0e970bd|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs8_nqz1|rule=bs23|style=raw}} || {{LinkCatagolue|xs20_4s0cp3z110728c|style=raw}} || GUYTU6J<br /> |-<br /> | {{LinkCatagolue|xs8_vhz1|rule=bs23|style=raw}} || {{LinkCatagolue|xs25_cc0vh4e0dbzx146|style=raw}} || toroidalet<br /> |-<br /> | {{LinkCatagolue|xs9_132qc|rule=bs23|style=raw}} || {{LinkCatagolue|xs15_0cq23146z32|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs9_17888o|rule=bs23|style=raw}} || {{LinkCatagolue|xs21_178bap3zwbd|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs9_23cic|rule=bs23|style=raw}} || {{LinkCatagolue|xs15_628q552z032|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs9_312mo|rule=bs23|style=raw}} || {{LinkCatagolue|xs30_wgg39cggzc45s1bc1023zw11|style=raw}} || ColorfulGalaxy<br /> |-<br /> | {{LinkCatagolue|xs9_319f|rule=bs23|style=raw}} || {{LinkCatagolue|xs17_gs2qb8ozx32|style=raw}} || ColorfulGalaxy<br /> |-<br /> | {{LinkCatagolue|xs9_3222ac|rule=bs23|style=raw}} || {{LinkCatagolue|xs16_6a88brzx32|style=raw}} || MathAndCode<br /> |-<br /> | {{LinkCatagolue|xs9_32pm|rule=bs23|style=raw}} || {{LinkCatagolue|xs16_0bq1daz321|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs9_359e|rule=bs23|style=raw}} || {{LinkCatagolue|xs17_4s079aczw113|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs9_6997|rule=bs23|style=raw}} ([[teardrop]]) || {{LinkCatagolue|xs20_699e0o4czw6511|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs9_69is|rule=bs23|style=raw}} ([[dove]]) || {{LinkCatagolue|xs15_69is0qm|style=raw}} || Ian07<br /> |-<br /> | {{LinkCatagolue|xs9_69p6|rule=bs23|style=raw}} || {{LinkCatagolue|xs22_6996khjzx641023|style=raw}} || Saka<br /> |-<br /> | {{LinkCatagolue|xs9_ehr|rule=bs23|style=raw}} ([[house]]) || {{LinkCatagolue|xs15_bd0ehr|style=raw}} || Ian07<br /> |}<br /> <br /> ==See also==<br /> *[[User:Bubblegum/SSLWSM]] (smallest still lifes containing constituent parts)</div>

Praosylen https://conwaylife.com/w/index.php?title=RLE:16cell47487m&diff=86209 2021-12-20T20:03:36Z

<p>Praosylen: </p> <hr /> <div>#C 16-cell variant of 47575M, originally found by Adam P. Goucher and optimized by Tanner Jacobi and praosylen<br /> x = 22, y = 17, rule = B3/S23<br /> 19b3o$20bo$6bo$6bo$6bo8$11bo$o10b2o$o$obo$b2o!</div>

Praosylen https://conwaylife.com/w/index.php?title=A_for_awesome&diff=86205 2021-12-20T20:02:02Z

<p>Praosylen: double redirect</p> <hr /> <div>#REDIRECT [[:Category:Patterns found by praosylen]]</div>

Praosylen https://conwaylife.com/w/index.php?title=Aidan_F._Pierce&diff=86204 2021-12-20T20:01:34Z

<p>Praosylen: double redirect</p> <hr /> <div>#REDIRECT [[:Category:Patterns found by praosylen]]</div>

Praosylen https://conwaylife.com/w/index.php?title=OCA_Discovery_of_the_Year&diff=86202 2021-12-20T20:00:48Z

<p>Praosylen: </p> <hr /> <div>{{stub}}<br /> The '''[[OCA]] Discovery of the Year'''{{refn|group=note|&quot;OCA&quot; is an acronym for &quot;other cellular automata.&quot;}} ('''OCADOTY''') competition is held each year on the ConwayLife.com forums as a counterpart to [[Pattern of the Year]] dedicated to rules other than [[Conway's Game of Life]]. Users are invited to submit interesting and noteworthy patterns, rules, families of rules, or projects relating to other cellular automata, their own or others'; following discussion, a final list is then curated, and a public vote held. All entries must have been found during the year in question.<br /> <br /> ==Results by year==<br /> <br /> ===2020===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=117617#p117617 Entries]<br /> <br /> The OCA Discovery of the Year competition for 2020 was organized by [[Peter Naszvadi]] and [[bubblegum]].<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern/Discovery<br /> ! Author(s)<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 45 || Day and Night knightships incl. a growing one || [[AforAmpere]] and [[Adam P. Goucher]] || [https://www.conwaylife.com/wiki/OCA:Day_%26_Night#Elementary]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various knightships in B3678/S34678 (Day and Night), including a growing knightship<br /> |-<br /> | 2 || 44 || Small natural replicator simulating W110 || [[Arie Paap]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3752&amp;start=225#p116434]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Replicator that follows the computationally universal 1D rule W110<br /> |-<br /> | 3 || 43 || Tiny adjustable ships/oscillators || [[Arie Paap]] and [[Oscar Cunningham]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3081&amp;start=100#p101606]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Adjustable ships/oscillators: mobile ship tracks (diagonal ship bouncing between and slowing down two orthogonal ships), also the first relativistic adjustables; 3-cell adjustable spaceship family with infinite speeds [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3081&amp;start=125#p117701] and a rule family with 12 members [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=3248&amp;start=175#p101763] supporting 3-cell adjustable oscillators covering all periods, by Oscar Cunningham<br /> |-<br /> | 4 || 41 || Speed orthogonoids and geminoids || [[cvojan]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4669#p103343]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | 304c/11272 Orthogonoid and (700,100)c/72300 Geminoid in B2c3aeij4krtyz5cij6-ak7/S2-ik3-aek4aeiknw5a6ikn7 (Tubular)<br /> |-<br /> | 5 || 40 || Wire-like rule 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3 || [[silversmith]] || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=4693]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | 1e2-a3-cij4kaijrtz5cnrq/2ce3aejnr4aj5y6a/3 (A Wire-Like World), a universal Generations wiring rule with complex dynamic circuitry and construction capabilities<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 39 || Oblique (421,1)c/867 ship || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2892&amp;start=900#p98167]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Spaceship moving at (421,1)c/867<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 39 || LFoD O(t^(3/2)) growth construction || [[FWKnightship]] and [[praosylen]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=649&amp;start=175#p110293]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Constructed pattern in B2/S0 (Live Free or Die) that grows with a complexity of O(t^(3/2))<br /> |-<br /> | 8 || 38 || Various [[LeapLife]] discoveries || [[Hunting]] || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=4267]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Meta-discovery: An attempt to reproduce the development of CGoL - and see how state of art tools and blueprints could accelerate this process with much success. [https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=5059 Detailed progress summary and animation]<br /> |-<br /> | 9 || 37 || Various W110 unit cell constructions || [[Naszvadi]], [[FWKnightship]], [[Layz Boi]] and [[GUYTU6J]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2597&amp;start=50#p91100]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various W110 generalized unit cells, rakes and (noncompact) stripes in [[D&amp;N]], [[Morley]], [[Logarithmic replicator rule]], [[B368/S12578]], [[LFoD]], [[Seeds]], [[Life without death]], [[DotLife]], a TC 4-state vonNeumann rule, [[Rule:Cgolinhexa|14-state OT hexagonal rule]] with 2×2 CGoL unit cell and a [[Rule:Hexasymmcgol|4-state hexagonal rule]] directly simulating CGoL<br /> |-<br /> | 10 || 36 || B378/S23 first glider gun || [[Matthias Merzenich]], [[Naszvadi]] and [[Paul Tooke]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=1071&amp;start=25#p104624]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Márta guns, the first guns in B378/S23<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 35 || Natural adjustable ships || [[Saka]] || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=3081&amp;start=100#p100982]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Adjustable-speed spaceships to have been found naturally rather than constructed, with unusual complex mechanism for adjustability. A Diamoeba-like IOT rule: B2ci3-i4cit5-i6-i78/S3a4t5678<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 35 || First [[Unit Cell]]'s visualisation rule || [[Naszvadi]] || [https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=3831&amp;start=50#p110868]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Visualisation of CGoL patterns in the first ever constucted p5760 unit cell grid<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 35 || Failed replicator in OT rule B378/S2458 || [[LaundryPizza03]] || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=4499]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | B378/S2458, a new gem of an OT rule with a failed 1D replicator<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 35 || Box-pushing spaceships || [[Saka]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=1971&amp;start=1675#p96450]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various spaceships including boxes with smaller spaceships pushing them from the inside, right triangles and crosses<br /> |-<br /> | data-sort-value=&quot;15&quot; | =15 || 34 || Various symbiosis discoveries and constructions || many || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=2999]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | New developments in Symbiosis, including a vast array of oscillators and guns, lightspeed signal circuitry and a unique MSM breeder.<br /> |-<br /> | data-sort-value=&quot;15&quot; | =15 || 34 || Various oscillators and spaceships in HROT rules || [[lemon41625]], [[Saka]], [[Chris Rowett]] and [[Hunting]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4434&amp;start=25#p99806]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Oscillators and spaceships in HROT rules: circular chequerboards fighting for territory, and rocket rules[https://conwaylife.com/forums/viewtopic.php?f=3&amp;t=1622&amp;start=1550#p98806] in the cross neighbourhood<br /> |-<br /> | 17 || 33 || Spaceship discovery progress in life-like vonNeumann rules || [[Naszvadi]] and [[praosylen]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2233&amp;start=25]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various spaceships and replicators in R1 OT B0 VN rules<br /> |-<br /> | 18 || 32 || HROT Almostlife discoveries and W110 constructions || [[lemon41625]] and [[FWKnightship]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4656]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | R2,C2,S6-11,B9-11,NW0010003330130310333000100 (AlmostLife), a HROT rule very close to Life resembling an INT rule, with first ever constructed HROT unit cell simulating W110 by FWKnightship<br /> |-<br /> | 19 || 30 || [[B36/S245]]-alike logreplicator || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=1971&amp;start=1600#p94136]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Replicator emulating the B36/S245 logarithmic replicator<br /> |-<br /> | 20 || 29 || Binary counter-stretcher-lograke-ship || [[Naszvadi]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3752&amp;start=200#p105390]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Binary counter one-ended wavestretcher/logarithmically-growing spaceship<br /> |-<br /> | 21 || 25 || Crystal Chaos HROT rule || [[Connor Steppie]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2933&amp;start=400#p111210]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | R2,C0,S4-7,9-11,B4,NB (Crystal Chaos), a dynamic HROT rule with a hidden crystal structure that allows for fragile explosions<br /> |}<br /> <br /> ===2019===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=86702#p86702 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=95325#p95325 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=96402#p96402 Results]<br /> <br /> The OCA Discovery of the Year competition for 2019 was organized by [[testitemqlstudop]] and [[bubblegum]].<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | data-sort-value=&quot;1&quot; | =1 || 37 || Dominoplex [[Orthogonoid]] || [[2718281828]] || [https://www.conwaylife.com/forums/viewtopic.php?p=67929#p67929]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Orthogonoid spaceship in rule B2cen3ek4ejkwz5-ein6an7e8/S12an3-eijq4enrty5e6k.<br /> |-<br /> | data-sort-value=&quot;1&quot; | =1 || 37 || Orthogonoid || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=75164#p75164]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Speed orthogonoid spaceship in rule B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8.<br /> |-<br /> | 3 || 33 || [[Snowflakes]]' pseudo-Orthogonoid || [[Goldtiger997]] et al. ([[2718281828]], [[dani]], [[toroidalet]], [[BlinkerSpawn]] etc.) || [https://www.conwaylife.com/forums/viewtopic.php?p=74697#p74697]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A pseudo-orthogonoid, a self-constructing puffer.<br /> |-<br /> | 4 || 26 || [[RRO]]s || [[2718281828]] and [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=79657#p79657]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | massive reflectorless rotating oscillators.<br /> |-<br /> | 5 || 25 || 3S1CShip8 and its c/2^6911+6913 one-cell ship || [[fluffykitty]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3089#p77780]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | 3S1CShip8 and its c/2^6911+6913 one-cell ship.<br /> |-<br /> | 6 || 24 || Non-explosive B1e rules || [[toroidalet]], [[Saka]], [[testitemqlstudop]], [[wildmyron]], [[A for awesome]] et al || [https://conwaylife.com/forums/viewtopic.php?f=12&amp;t=4002]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Non-explosive B1e rules.<br /> |-<br /> | 7 || 23 || B2a/S circuitry || [[toroidalet]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=1971&amp;p=83652#p83652]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Signal logic circuitry with replicator streams<br /> |-<br /> | 8 || 22 || Additions to the [[5S]] project || [[wildmyron]] et al || [https://www.conwaylife.com/forums/viewtopic.php?p=96402#p96402]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Additions to the 5S project, especially these ones: (176,1)c/440, 108c/37886 diagonal, (98,97)c/4312<br /> |-<br /> | 9 || 21 || GUYTU6J's OCA discoveries || [[GUYTU6J]] || [https://conwaylife.com/forums/viewtopic.php?p=79333#p79333] [https://conwaylife.com/forums/viewtopic.php?p=83736#p83736] [https://conwaylife.com/forums/viewtopic.php?p=84306#p84306] [https://conwaylife.com/forums/viewtopic.php?p=84345#p84345]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Triangular and ruler replicator + SMOS, 2D replicator with beautiful fractal, 2D replicator firing gliders and 10c/20s, Bizarre rake-plicator<br /> |-<br /> | 10 || 20 || Hactar's 2x2 p2 metacells || [[HactarCE]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3905]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Hactar's 2x2 p2 metacells simulating outer-totalistic life-like rules.<br /> |-<br /> | 11 || 18 || Omosso's pair-interaction ships || [[77topaz]] et al || [https://www.conwaylife.com/forums/viewtopic.php?p=84668#p84668]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Omosso's pair-interaction ships with very high periods.<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 17 || Mahler-rep || [[Letters]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4163]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Mahler-rep, a modification of Devore which allows for smaller replicators and computers.<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 17 || Rule X3VI || [[Rhombic]], [[testitemqlstudop]] et al || [https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=3830]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first INT rule to reach 1T objects in C1 on Catagolue.<br /> |-<br /> | 14 || 16 || [[W110]] in Codd || [[Naszvadi]] || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2597&amp;start=50#p76308] [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=2597&amp;start=50#p76371]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Usual W110 [[Unit cell]] that proves Turing-completeness of a classic 8-state vN rule by E.F. Codd.<br /> |-<br /> | 15 || 15 || ZombieLife || [[77topaz]], [[Moosey]], [[dani]], [[dvgrn]] et al || [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3802]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with its enormous natural spaceships.<br /> |}<br /> <br /> ===2018===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=67092#p67092 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=69546#p69546 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=71074#p71074 Results]<br /> <br /> The nominations for the 2018 competition were organized by [[Rhombic]], and the voting by [[77topaz]]. Users were able to vote on as many entries as they wished, awarding up to three stars to each one.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 38 || [[Adjustable spaceship|Adjustable slope]] spaceships || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=62121#p62121]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Spaceships which can be adjustable to travel at any integer [[slope]]. <br /> |-<br /> | 2 || 24 || bf esolang simulator || [[M.I. Wright]] || [https://www.conwaylife.com/forums/viewtopic.php?p=62509#p62509]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A cellular automaton simulating the bf programming language.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 23 || [[ATPP]] || [[dani]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64307#p64307]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule containing many spaceships based on failed replicators as well as several actual [[replicator]]s based on it.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 23 || Exponentially long-lasting [[methuselah]]s || [[toroidalet]] || [https://conwaylife.com/forums/viewtopic.php?p=66707#p66707]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various [[fuse]]-based methuselahs, one of which has an estimated lifespan of 2&lt;sup&gt;2^50&lt;/sup&gt; generations.<br /> |-<br /> | 5 || 22 || Smallest [[Oscillator]]s Supporting Specific Periods || [[Oscar Cunningham]] || [https://conwaylife.com/forums/viewtopic.php?p=60942#p60942]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Examples of two-cell oscillators for every period up to 102.<br /> |-<br /> | 6 || 21 || 8c/9 orthogonal spaceship || [[AforAmpere]] || [https://conwaylife.com/forums/viewtopic.php?p=55978#p55978]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The fastest known sub-[[c orthogonal|lightspeed]] spaceship in an [[isotropic non-totalistic]] rule without [[B0]].<br /> |-<br /> | 7 || 20 || [[Suns]] || [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=61796#p61796]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule containing a high-period oscillator which can be hassled at various other periods.<br /> |-<br /> | 8 || 18 || [[JvN29]] loop-based [[replicator]] || [[fluffykitty]], [[Redstoneboi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=62707#p62707]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A replicator in von Neumann's original cellular automaton.<br /> |-<br /> | data-sort-value=&quot;9&quot; | =9 || 17 || [[Omosso]] || [[Saka]] || [https://www.conwaylife.com/forums/viewtopic.php?p=67045#p67045]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule containing high-period spaceships, a natural [[RRO]], and [[OMOS]]es of various periods, hence its name.<br /> |-<br /> | data-sort-value=&quot;9&quot; | =9 || 17 || [[Rule 110]] [[unit cell]]s in various rules || [[Peter Naszvadi]], [[Luka Okanishi]], [[LaundryPizza03]] || [https://www.conwaylife.com/forums/viewtopic.php?p=55617#p55617] [https://www.conwaylife.com/forums/viewtopic.php?p=56996#p56996]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=62217#p62217] [https://www.conwaylife.com/forums/viewtopic.php?p=66774#p66774]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Proofs of Turing-completeness for rules including but not limited to [[HighLife]], [[DryLife]], and [[LowDeath]].<br /> |-<br /> | 11 || 16 || [[tlife]] [[puffer]] || [[dani]], [[Luka Okanishi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=63145#p63145] [https://www.conwaylife.com/forums/viewtopic.php?p=63228#p63228]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An 8c/282 orthogonal puffer, and a spaceship based on it.<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 15 || [[Hype]] || [[FlameandFury]] || [https://www.conwaylife.com/forums/viewtopic.php?p=58606#p58606]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with a wide variety of high-period oscillators which has also been proven [[omniperiodic]].<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 15 || [[Hive]] || [[dani]] || [https://www.conwaylife.com/forums/viewtopic.php?p=61050#p61050]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with a failed [[replicator]] from which various high-period and unusual-speed spaceships have been constructed.<br /> |-<br /> | data-sort-value=&quot;14&quot; | =14 || 14 || Record-slowest spaceships || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=63283#p63283]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule table supporting spaceships based on [https://en.wikipedia.org/wiki/Knuth%27s_up-arrow_notation Knuth's up-arrow notation], allowing for unimaginably slow speeds.<br /> |-<br /> | data-sort-value=&quot;14&quot; | =14 || 14 || [[Emitters]] || [[dani]] || [https://www.conwaylife.com/forums/viewtopic.php?p=60621#p60621]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with many high-period oscillators (similar to [[Hype]]) but also a small [[spacefiller]], a [[replicator]], and several [[gun]]s.<br /> |-<br /> | 16 || 13 || Other [[adjustable spaceship]]s || [[Luka Okanishi]], [[Connor Steppie]], [[Arie Paap]], [[2718281828]], [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=50642#p50642]<br /> |- class=&quot;expand-child&quot;<br /> |-<br /> | 17 || 11 || Other [[RRO]]s || [[2718281828]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=61192#p61192]<br /> |- class=&quot;expand-child&quot;<br /> |-<br /> | 18 || 10 || [[Arrow]] || [[77topaz]] || [https://www.conwaylife.com/forums/viewtopic.php?p=59732#p59732]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with [[adjustable spaceship|adjustable]] [[rake]]s and many known reactions based on them.<br /> |}<br /> <br /> ===2017===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=54526#p54526 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=55583#p55583 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=56599#p56599 Results]<br /> <br /> The 2017 competition was organized by [[Rhombic]]. Users were able to vote on as many entries as they wished, awarding up to three stars to each one.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 25 || Orthogonal [[adjustable spaceship]]s || [[praosylen]], [[Luka Okanishi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=45945#p45945] [https://www.conwaylife.com/forums/viewtopic.php?p=47385#p47385]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Two rules allowing for the trivial construction of infinitely many odd and even-period spaceships respectively.<br /> |-<br /> | 2 || 18 || [[LifeWiki:5s project|5s project]] || [[dani]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=44044#p44044]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A collection of the smallest known spaceships of every speed among the [[isotropic non-totalistic]] rulespace.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 15 || [[SMOS|SMOSMOS]] || [[Saka]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=52063#p52063]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first known spaceships made of SMOSes, with various examples posted.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 15 || [[Movostill 3]] || [[dani]] || [https://conwaylife.com/forums/viewtopic.php?p=52833#p52833]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with various elementary spaceships and guns as well as construction potential.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 15 || [[HighLife]] replicator spaceships || [[Luka Okanishi]] || [https://conwaylife.com/forums/viewtopic.php?p=51616#p51616] [https://conwaylife.com/forums/viewtopic.php?p=52577#p52577] [https://conwaylife.com/forums/viewtopic.php?p=53404#p53404]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [[Replicator]]-based spaceships traveling at speeds of c/18, c/12, and c/30 diagonal respectively.<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 14 || [[tDryLife]] pondlayer-based spaceship || [[Luka Okanishi]] || [https://conwaylife.com/forums/viewtopic.php?p=44806#p44806]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An engineered spaceship based on a high-period [[pond]] [[puffer]].<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 14 || One-cell [[universal constructor]] || [[blah]] || [https://www.conwaylife.com/forums/viewtopic.php?p=50782#p50782]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A method of producing arbitrary complex patterns from a single cell using rule tables.<br /> |-<br /> | 8 || 12 || [[Snowflakes]] || [[Blinkerspawn]], [[dani]] || [https://conwaylife.com/forums/viewtopic.php?p=54284#p54284]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A rule with construction potential despite its differences from Conway's Game of Life.<br /> |-<br /> | 9 || 11 || [[Rule 110]] [[unit cell]]s in various rules || [[Peter Naszvadi]] || [https://conwaylife.com/forums/viewtopic.php?p=51602#p51602] [https://conwaylife.com/forums/viewtopic.php?p=52043#p52043]&lt;br&gt;[https://conwaylife.com/forums/viewtopic.php?p=52584#p52584] [https://www.conwaylife.com/forums/viewtopic.php?p=53026#p53026]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Proofs of Turing-completeness for certain [[Life-like]] rules including but not limited to [[Pedestrian Life]], [[EightLife]], and [[HoneyLife]].<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 9 || Spaceship-bouncing-off-object [[adjustable spaceships]] || [[Connor Steppie]] || [https://conwaylife.com/forums/viewtopic.php?p=50642#p50642]<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 9 || Extremely slow spaceships || [[Blinkerspawn]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=49617#p49617]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The design of spaceships with excruciatingly slow speeds using different approaches<br /> |-<br /> | 12 || 7 || [[Slope]] 73 spaceship || [[AforAmpere]] || [https://conwaylife.com/forums/viewtopic.php?p=53529#p53529]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A (73,1)c/160 spaceship, at the time the [[oblique spaceship]] with the steepest known slope.<br /> |-<br /> | 13 || 6 || [[Larger than Life]] developments || [[Saka]], [[Connor Steppie]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=45530#p45530] [https://conwaylife.com/forums/viewtopic.php?p=47921#p47921] [https://conwaylife.com/forums/viewtopic.php?p=50650#p50650]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A collective entry for various discoveries within the Larger than Life rulespace.<br /> |}<br /> <br /> ==Notes==<br /> &lt;references group=&quot;note&quot; /&gt;<br /> <br /> [[Category:Everything else]]<br /> [[Category:Competitions]]</div>

Praosylen https://conwaylife.com/w/index.php?title=Static_symmetry&diff=86200 2021-12-20T19:59:47Z

<p>Praosylen: just get rid of the broken references for now</p> <hr /> <div>The Life transition rule, like that of any [[Isotropic non-totalistic Life-like cellular automaton|isotropic cellular automaton]], is invariant under reflections and rotations. That is, the change in state of a cell remains the same if its [[neighbourhood]] is rotated or reflected. This implies there are '''symmetries''' which if present in a pattern are present in all its successors. Note that the converse is not true: a pattern need not have the full symmetry of one of its successor states.<br /> <br /> == On a square grid ==<br /> <br /> === Major spatial symmetries ===<br /> [[File:Symmetries.png|center|frame|Overview of symmetries (excluding D8_2).]]<br /> <br /> ==== Rotational ====<br /> &lt;div class=&quot;mw-collapsible mw-collapsed&quot;&gt;<br /> Rotational symmetries are prefixed with &quot;C&quot;, referring to the [https://en.wikipedia.org/wiki/Cyclic_group cyclic groups]. Click on &quot;Expand&quot; to the right to view a list of them. <br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> <br /> ===== C1 =====<br /> '''C1''': Symmetric under 360° rotation. This is essentially no symmetry at all. Example: [[Eater 1]]<br /> <br /> &lt;center&gt;{{Sym-demo<br /> |rle = x = 16, y = 16, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$16o!<br /> |width = 160<br /> |height = 160<br /> |caption = C1 symmetry<br /> }}&lt;/center&gt;<br /> <br /> ===== C2 =====<br /> '''C2''': Symmetric under 180° rotation. There are three possibilities:<br /> <br /> * '''C2_1''': Rotation around the center of a cell. The bounding rectangle of a C2_1 pattern is odd by odd. Example: [[Long snake]]<br /> * '''C2_2''': Rotation around the midpoint of a side of a cell. The bounding rectangle is even by odd. Example: [[Aircraft carrier]]<br /> * '''C2_4''': Rotation around a corner of a cell. The bounding rectangle is even by even. Example: [[Snake]]<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$31o<br /> $15bo14bo$15bo14bo$15bo9b2o3bo$15bo8b4o2bo$15bo8b4o2bo$15bo2b10o2bo$<br /> 15bo14bo$15bo14bo$15bo3b2o4b2o3bo$15bo2bo2bo2bo2bo2bo$15bo2bo2bo2bo2bo<br /> 2bo$15bo3b2o4b2o3bo$15bo14bo$15bo14bo$15b16o!<br /> |width = 320<br /> |height = 320<br /> |caption = C2_1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 31, y = 32, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$16o<br /> $15b16o$15bo14bo$15bo14bo$15bo9b2o3bo$15bo8b4o2bo$15bo8b4o2bo$15bo2b<br /> 10o2bo$15bo14bo$15bo14bo$15bo3b2o4b2o3bo$15bo2bo2bo2bo2bo2bo$15bo2bo2b<br /> o2bo2bo2bo$15bo3b2o4b2o3bo$15bo14bo$15bo14bo$15b16o!<br /> |width = 320<br /> |height = 320<br /> |caption = C2_2 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$16o<br /> $16b16o$16bo14bo$16bo14bo$16bo9b2o3bo$16bo8b4o2bo$16bo8b4o2bo$16bo2b<br /> 10o2bo$16bo14bo$16bo14bo$16bo3b2o4b2o3bo$16bo2bo2bo2bo2bo2bo$16bo2bo2b<br /> o2bo2bo2bo$16bo3b2o4b2o3bo$16bo14bo$16bo14bo$16b16o!<br /> |width = 320<br /> |height = 320<br /> |caption = C2_4 symmetry}}<br /> |}<br /> <br /> ===== C4 =====<br /> '''C4''': Symmetric under 90° rotation. There are two possibilities:<br /> <br /> * '''C4_1''': Rotation around the center of a cell. The bounding rectangle is odd by odd. Example: [[Shuriken]]<br /> * '''C4_4''': Rotation around a corner of a cell. The bounding rectangle is even by even. Example: [[Quad]]<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S012345678<br /> 31o$o14bo14bo$o14bo14bo$o3b2o4b2o3bo3b3o3b2o3bo$o2bo2bo2bo2bo2bo2b4o2b<br /> o2bo2bo$o2bo2bo2bo2bo2bo2b4o2bo2bo2bo$o3b2o4b2o3bo3b3o3b2o3bo$o14bo5bo<br /> 8bo$o14bo5bo8bo$o2b10o2bo5bo3b2o3bo$o2b4o8bo5bo2bo2bo2bo$o2b4o8bo5bo2b<br /> o2bo2bo$o3b2o9bo5bo3b2o3bo$o14bo14bo$o14bo14bo$31o$o14bo14bo$o14bo14bo<br /> $o3b2o3bo5bo9b2o3bo$o2bo2bo2bo5bo8b4o2bo$o2bo2bo2bo5bo8b4o2bo$o3b2o3bo<br /> 5bo2b10o2bo$o8bo5bo14bo$o8bo5bo14bo$o3b2o3b3o3bo3b2o4b2o3bo$o2bo2bo2b<br /> 4o2bo2bo2bo2bo2bo2bo$o2bo2bo2b4o2bo2bo2bo2bo2bo2bo$o3b2o3b3o3bo3b2o4b<br /> 2o3bo$o14bo14bo$o14bo14bo$31o!<br /> |width = 320<br /> |height = 320<br /> |caption = C4_1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b3o3b2o3bo$o2bo2bo2bo2bo2b2o2b<br /> 4o2bo2bo2bo$o2bo2bo2bo2bo2b2o2b4o2bo2bo2bo$o3b2o4b2o3b2o3b3o3b2o3bo$o<br /> 14b2o5bo8bo$o14b2o5bo8bo$o2b10o2b2o5bo3b2o3bo$o2b4o8b2o5bo2bo2bo2bo$o<br /> 2b4o8b2o5bo2bo2bo2bo$o3b2o9b2o5bo3b2o3bo$o14b2o14bo$o14b2o14bo$32o$32o<br /> $o14b2o14bo$o14b2o14bo$o3b2o3bo5b2o9b2o3bo$o2bo2bo2bo5b2o8b4o2bo$o2bo<br /> 2bo2bo5b2o8b4o2bo$o3b2o3bo5b2o2b10o2bo$o8bo5b2o14bo$o8bo5b2o14bo$o3b2o<br /> 3b3o3b2o3b2o4b2o3bo$o2bo2bo2b4o2b2o2bo2bo2bo2bo2bo$o2bo2bo2b4o2b2o2bo<br /> 2bo2bo2bo2bo$o3b2o3b3o3b2o3b2o4b2o3bo$o14b2o14bo$o14b2o14bo$32o!<br /> |width = 320<br /> |height = 320<br /> |caption = C4_4 symmetry}}<br /> |}<br /> &lt;/div&gt;&lt;/div&gt;<br /> <br /> ==== Reflectional ====<br /> &lt;div class=&quot;mw-collapsible mw-collapsed&quot;&gt;<br /> Reflectional symmetries are prefixed with &quot;D&quot;, referring to the [https://en.wikipedia.org/wiki/Dihedral_group dihedral groups]. Click on &quot;Expand&quot; to the right to view a list of them. <br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> <br /> ===== D2 =====<br /> '''D2''': Symmetric under reflection through a line. There are two possibilities:<br /> <br /> * '''D2_+''' The line is orthogonal. There are two sub-possibilities:<br /> ** '''D2_+1''' The line bisects a row of cells. The bounding rectangle is odd by any.<br /> ** '''D2_+2''' The line lies between two rows of cells. The bounding rectangle is even by any.<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 16, y = 31, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$16o<br /> $o14bo$o14bo$o3b2o9bo$o2b4o8bo$o2b4o8bo$o2b10o2bo$o14bo$o14bo$o3b2o4b<br /> 2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b2o3bo$o14bo$o14bo$16o!<br /> |width = 160<br /> |height = 320<br /> |caption = D2_+1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 16, y = 32, rule = B/S012345678<br /> 16o$o14bo$o14bo$o3b2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b<br /> 2o3bo$o14bo$o14bo$o2b10o2bo$o2b4o8bo$o2b4o8bo$o3b2o9bo$o14bo$o14bo$16o<br /> $16o$o14bo$o14bo$o3b2o9bo$o2b4o8bo$o2b4o8bo$o2b10o2bo$o14bo$o14bo$o3b<br /> 2o4b2o3bo$o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2bo$o3b2o4b2o3bo$o14bo$o14bo$<br /> 16o!<br /> |width = 160<br /> |height = 320<br /> |caption = D2_+2 symmetry}}<br /> |}<br /> <br /> * '''D2_x''' The line is diagonal.<br /> <br /> &lt;center&gt;{{Sym-demo<br /> |rle = x = 16, y = 16, rule = B/S012345678<br /> 16o$o14bo$o14bo$o7bo6bo$o6bobo5bo$o7bo3bo2bo$o11bo2bo$o3bo7bo2bo$o2bob<br /> o6bo2bo$o3bo6bo3bo$o9bo4bo$o8bo5bo$o4b4o6bo$o14bo$o14bo$16o!<br /> |width = 160<br /> |height = 160<br /> |caption = D2_x symmetry}}&lt;/center&gt;<br /> <br /> ===== D4 =====<br /> '''D4''': Symmetric under both reflection and 180° rotation. The reflection symmetry will be with respect to two lines. There are two possibilities:<br /> <br /> * '''D4_+''': The lines are orthogonal. There are three sub-possibilities:<br /> ** '''D4_+1''': Rotation around the center of a cell. The bounding rectangle is odd by odd.<br /> ** '''D4_+2''': Rotation around the midpoint of a side of a cell. The bounding rectangle is even by odd.<br /> ** '''D4_+4''': Rotation around a corner of a cell. The bounding rectangle is even by even.<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S012345678<br /> 31o$o14bo14bo$o14bo14bo$o3b2o4b2o3bo3b2o4b2o3bo$o2bo2bo2bo2bo2bo2bo2bo<br /> 2bo2bo2bo$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$o3b2o4b2o3bo3b2o4b2o3bo$o14b<br /> o14bo$o14bo14bo$o2b10o2bo2b10o2bo$o2b4o8bo8b4o2bo$o2b4o8bo8b4o2bo$o3b<br /> 2o9bo9b2o3bo$o14bo14bo$o14bo14bo$31o$o14bo14bo$o14bo14bo$o3b2o9bo9b2o<br /> 3bo$o2b4o8bo8b4o2bo$o2b4o8bo8b4o2bo$o2b10o2bo2b10o2bo$o14bo14bo$o14bo<br /> 14bo$o3b2o4b2o3bo3b2o4b2o3bo$o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$o2bo2bo2b<br /> o2bo2bo2bo2bo2bo2bo2bo$o3b2o4b2o3bo3b2o4b2o3bo$o14bo14bo$o14bo14bo$31o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 31, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b2o4b2o3bo$o2bo2bo2bo2bo2b2o2b<br /> o2bo2bo2bo2bo$o2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$o3b2o4b2o3b2o3b2o4b2o3b<br /> o$o14b2o14bo$o14b2o14bo$o2b10o2b2o2b10o2bo$o2b4o8b2o8b4o2bo$o2b4o8b2o<br /> 8b4o2bo$o3b2o9b2o9b2o3bo$o14b2o14bo$o14b2o14bo$32o$o14b2o14bo$o14b2o<br /> 14bo$o3b2o9b2o9b2o3bo$o2b4o8b2o8b4o2bo$o2b4o8b2o8b4o2bo$o2b10o2b2o2b<br /> 10o2bo$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b2o4b2o3bo$o2bo2bo2bo2bo2b<br /> 2o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$o3b2o4b2o3b2o3b2o4b<br /> 2o3bo$o14b2o14bo$o14b2o14bo$32o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+2 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b2o4b2o3bo$o2bo2bo2bo2bo2b2o2b<br /> o2bo2bo2bo2bo$o2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$o3b2o4b2o3b2o3b2o4b2o3b<br /> o$o14b2o14bo$o14b2o14bo$o2b10o2b2o2b10o2bo$o2b4o8b2o8b4o2bo$o2b4o8b2o<br /> 8b4o2bo$o3b2o9b2o9b2o3bo$o14b2o14bo$o14b2o14bo$32o$32o$o14b2o14bo$o14b<br /> 2o14bo$o3b2o9b2o9b2o3bo$o2b4o8b2o8b4o2bo$o2b4o8b2o8b4o2bo$o2b10o2b2o2b<br /> 10o2bo$o14b2o14bo$o14b2o14bo$o3b2o4b2o3b2o3b2o4b2o3bo$o2bo2bo2bo2bo2b<br /> 2o2bo2bo2bo2bo2bo$o2bo2bo2bo2bo2b2o2bo2bo2bo2bo2bo$o3b2o4b2o3b2o3b2o4b<br /> 2o3bo$o14b2o14bo$o14b2o14bo$32o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_+4 symmetry}}<br /> |}<br /> <br /> * '''D4_x''' The lines are diagonal. There are two sub-possibilities:<br /> ** '''D4_x1''': Rotation around the center of a cell. The bounding rectangle is odd by odd.<br /> ** '''D4_x4''': Rotation around a corner of a cell. The bounding rectangle is even by even.<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S012345678<br /> 31o$o14bo14bo$o14bo14bo$o7bo6bo5b3o6bo$o6bobo5bo5bobo6bo$o7bo3bo2bo2bo<br /> 2b3o6bo$o11bo2bo2b2o10bo$o3bo7bo2bo2b2o5b3o2bo$o2bobo6bo2bo2b3o4bobo2b<br /> o$o3bo6bo3bo3b2o4b3o2bo$o9bo4bo3b4o7bo$o8bo5bo4b5o5bo$o4b4o6bo6b4o4bo$<br /> o14bo14bo$o14bo14bo$31o$o14bo14bo$o14bo14bo$o4b4o6bo6b4o4bo$o5b5o4bo5b<br /> o8bo$o7b4o3bo4bo9bo$o2b3o4b2o3bo3bo6bo3bo$o2bobo4b3o2bo2bo6bobo2bo$o2b<br /> 3o5b2o2bo2bo7bo3bo$o10b2o2bo2bo11bo$o6b3o2bo2bo2bo3bo7bo$o6bobo5bo5bob<br /> o6bo$o6b3o5bo6bo7bo$o14bo14bo$o14bo14bo$31o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_x1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o7bo6b2o5b3o6bo$o6bobo5b2o5bobo6bo$o7bo3bo2b<br /> 2o2bo2b3o6bo$o11bo2b2o2b2o10bo$o3bo7bo2b2o2b2o5b3o2bo$o2bobo6bo2b2o2b<br /> 3o4bobo2bo$o3bo6bo3b2o3b2o4b3o2bo$o9bo4b2o3b4o7bo$o8bo5b2o4b5o5bo$o4b<br /> 4o6b2o6b4o4bo$o14b2o14bo$o14b2o14bo$32o$32o$o14b2o14bo$o14b2o14bo$o4b<br /> 4o6b2o6b4o4bo$o5b5o4b2o5bo8bo$o7b4o3b2o4bo9bo$o2b3o4b2o3b2o3bo6bo3bo$o<br /> 2bobo4b3o2b2o2bo6bobo2bo$o2b3o5b2o2b2o2bo7bo3bo$o10b2o2b2o2bo11bo$o6b<br /> 3o2bo2b2o2bo3bo7bo$o6bobo5b2o5bobo6bo$o6b3o5b2o6bo7bo$o14b2o14bo$o14b<br /> 2o14bo$32o!<br /> |width = 320<br /> |height = 320<br /> |caption = D4_x4 symmetry}}<br /> |}<br /> <br /> ===== D8 =====<br /> '''D8''': Symmetric under both reflection and 90° rotation. The reflection symmetry will be with respect to horizontal, vertical, and diagonal lines. There are three possibilities:<br /> <br /> * '''D8_1''': Rotation around the center of a cell. The bounding rectangle is odd by odd.<br /> * '''D8_2''': Rotation around a edge of a cell. The bounding rectangle is even by odd. This symmetry is not preserved by Life (reverting to D4_+2), but is with most bilaterally symmetric rules.<br /> * '''D8_4''': Rotation around a corner of a cell. The bounding rectangle is even by even.<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S012345678<br /> 31o$o14bo14bo$o14bo14bo$o7bo6bo6bo7bo$o6bobo5bo5bobo6bo$o7bo3bo2bo2bo<br /> 3bo7bo$o11bo2bo2bo11bo$o3bo7bo2bo2bo7bo3bo$o2bobo6bo2bo2bo6bobo2bo$o3b<br /> o6bo3bo3bo6bo3bo$o9bo4bo4bo9bo$o8bo5bo5bo8bo$o4b4o6bo6b4o4bo$o14bo14bo<br /> $o14bo14bo$31o$o14bo14bo$o14bo14bo$o4b4o6bo6b4o4bo$o8bo5bo5bo8bo$o9bo<br /> 4bo4bo9bo$o3bo6bo3bo3bo6bo3bo$o2bobo6bo2bo2bo6bobo2bo$o3bo7bo2bo2bo7bo<br /> 3bo$o11bo2bo2bo11bo$o7bo3bo2bo2bo3bo7bo$o6bobo5bo5bobo6bo$o7bo6bo6bo7b<br /> o$o14bo14bo$o14bo14bo$31o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 31, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o7bo6b2o6bo7bo$o6bobo5b2o5bobo6bo$o7bo3bo2b<br /> 2o2bo3bo7bo$o11bo2b2o2bo11bo$o3bo7bo2b2o2bo7bo3bo$o2bobo6bo2b2o2bo6bob<br /> o2bo$o3bo6bo3b2o3bo6bo3bo$o9bo4b2o4bo9bo$o8bo5b2o5bo8bo$o4b4o6b2o6b4o<br /> 4bo$o14b2o14bo$o14b2o14bo$32o$o14b2o14bo$o14b2o14bo$o4b4o6b2o6b4o4bo$o<br /> 8bo5b2o5bo8bo$o9bo4b2o4bo9bo$o3bo6bo3b2o3bo6bo3bo$o2bobo6bo2b2o2bo6bob<br /> o2bo$o3bo7bo2b2o2bo7bo3bo$o11bo2b2o2bo11bo$o7bo3bo2b2o2bo3bo7bo$o6bobo<br /> 5b2o5bobo6bo$o7bo6b2o6bo7bo$o14b2o14bo$o14b2o14bo$32o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_2 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S012345678<br /> 32o$o14b2o14bo$o14b2o14bo$o7bo6b2o6bo7bo$o6bobo5b2o5bobo6bo$o7bo3bo2b<br /> 2o2bo3bo7bo$o11bo2b2o2bo11bo$o3bo7bo2b2o2bo7bo3bo$o2bobo6bo2b2o2bo6bob<br /> o2bo$o3bo6bo3b2o3bo6bo3bo$o9bo4b2o4bo9bo$o8bo5b2o5bo8bo$o4b4o6b2o6b4o<br /> 4bo$o14b2o14bo$o14b2o14bo$32o$32o$o14b2o14bo$o14b2o14bo$o4b4o6b2o6b4o<br /> 4bo$o8bo5b2o5bo8bo$o9bo4b2o4bo9bo$o3bo6bo3b2o3bo6bo3bo$o2bobo6bo2b2o2b<br /> o6bobo2bo$o3bo7bo2b2o2bo7bo3bo$o11bo2b2o2bo11bo$o7bo3bo2b2o2bo3bo7bo$o<br /> 6bobo5b2o5bobo6bo$o7bo6b2o6bo7bo$o14b2o14bo$o14b2o14bo$32o!<br /> |width = 320<br /> |height = 320<br /> |caption = D8_4 symmetry}}<br /> |}<br /> <br /> To preserve D8_2 symmetry, the following transitions must either all exist simultaneously with all other transitions in the same line or none should:&lt;ref name=&quot;post28936&quot; /&gt;<br /> <br /> * B1c/B2c/B4c<br /> * B1e/B2a/B2i/B4i<br /> * B3e/B3j<br /> * B3i/B6i<br /> * B3q/B3y<br /> * B4t/B5r<br /> * B4e/B5y/B4w<br /> * B4a/B5i<br /> * B4n/B5e<br /> * B5a/B7e/B8<br /> * B6c/B6k<br /> * S0/S1e/S3a<br /> * S2c/S2k<br /> * S2i/S5i<br /> * S3e/S4r<br /> * S3i/S4a/S4t/S6a/S6i/S7e<br /> * S3r/S4i<br /> * S3y/S4c/S4q<br /> * S5e/S5j<br /> * S5q/S5y<br /> * S6c/S7c<br /> &lt;/div&gt;&lt;/div&gt;<br /> <br /> === Time symmetries ===<br /> [[Oscillators]] and [[spaceship]]s have a wider range of symmetries than still lifes. This is because an oscillator can appear in two or four congruent states, not necessarily the same. There are 43 possible symmetries of oscillators, 27 of which do not appear in still lifes (i.e. period/mod = 2 or 4). The symmetry class is the symmetry class of the oscillator in a single generation followed by the symmetry class of the union of the generation and its congruent successors.&lt;ref&gt;{{CiteHickersonOscillators|accessdate=December 13, 2021}}&lt;/ref&gt;<br /> <br /> Spaceships have a limited range of symmetries because no spaceship can have rotational symmetry. However, spaceships can have glide symmetry, which is not applicable for finite patterns that do not move.<br /> <br /> ==== Hickerson's notation ====<br /> [[Dean Hickerson]] created a notation which can be used for identifying both the spatial and temporal symmetries of an object. This notation is well-suited for describing periodic objects, as the other notation is generally reserved for soup searching.<br /> <br /> &lt;!-- Copied from DRH-oscillators and modified mainly to remove the #C spam that would result. Anyone care to adapt this for the article and provide visual examples? No? Ok.<br /> <br /> The 'period' of an oscillator (or spaceship) is the smallest positive integer P for which generation P of the object is congruent to and in the same orientation as generation 0. The 'mod' of an oscillator (or spaceship) is the smallest positive integer M for which generation M of the object is congruent to generation 0, but not necessarily in the same orientation. The quotient q=P/M is always either 1, 2, or 4. To specify both P and M, we often write &quot;period P.M&quot; or &quot;period P/q&quot;.<br /> <br /> There are 43 types of symmetry that an oscillator can have, taking into account both the symmetry of a single generation and the change of orientation (if any) M generations later. There are 16 types of symmetry that a pattern can have in a single generation. Each of these is given a one or two character name, as follows:<br /> <br /> n no symmetry<br /> <br /> -c mirror symmetry across a horizontal axis through cell centers<br /> -e mirror symmetry across a horizontal axis through cell edges<br /> <br /> / mirror symmetry across one diagonal<br /> <br /> .c 180 degree rotational symmetry about a cell center<br /> .e 180 degree rotational symmetry about a cell edge<br /> .k 180 degree rotational symmetry about a cell corner<br /> <br /> +c mirror symmetry across horizontal and vertical axes meeting<br /> at a cell center<br /> +e mirror symmetry across horizontal and vertical axes meeting<br /> at a cell edge<br /> +k mirror symmetry across horizontal and vertical axes meeting<br /> at a cell corner<br /> <br /> xc mirror symmetry across 2 diagonals meeting at a cell center<br /> xk mirror symmetry across 2 diagonals meeting at a cell corner<br /> <br /> rc 90 degree rotational symmetry about a cell center<br /> rk 90 degree rotational symmetry about a cell corner<br /> <br /> *c 8-fold symmetry about a cell center<br /> *k 8-fold symmetry about a cell corner<br /> <br /> For a period P/1 object, specifying the symmetry of generation 0 tells us all there is to know about the oscillator's symmetry. For a period P/2 or P/4 object, we also need to know how gen M is related to gen 0. For the P/2 case, gen M can be either a mirror image of gen 0, a 180 degree rotation of it, or a 90 degree rotation of it if the pattern has 180 degree rotational symmetry. For the P/4 case gen M must be a 90 degree rotation of gen 0. In any case, if we merge all gens which are multiples of M, the resulting pattern will have more symmetry than the original oscillator. We describe the complete symmetry class of the oscillator by appending the one or two character description of the union's symmetry to that of gen 0's symmetry. For example, if gen 0 has 180 degree rotational symmetry about a cell center, and gen M is obtained by reflecting gen 0 across a diagonal, then the union of gens 0 and M is symmetric across both diagonals, so its symmetry class is denoted &quot;.cxc&quot;.<br /> <br /> The 43 possible symmetry types are:<br /> <br /> period/mod = 1: nn -c-c -e-e // .c.c .e.e .k.k +c+c<br /> +e+e +k+k xcxc xkxk rcrc rkrk *c*c *k*k<br /> <br /> period/mod = 2: n-c n-e n/ n.c n.e n.k<br /> -c+c -c+e -e+e -e+k<br /> /xc /xk<br /> .c+c .cxc .crc .e+e .k+k .kxk .krk<br /> +c*c +k*k xc*c xk*k rc*c rk*k<br /> <br /> period/mod = 4: nrc nrk<br /> <br /> <br /> --&gt;<br /> <br /> == On a hexagonal or triangular grid ==<br /> <br /> === Major spatial symmetries ===<br /> [[Hexagonal neighbourhood|Hexagonal]] and [[triangular neighbourhood|triangular]] grids have the same set of admissible symmetries as each other (by [http://mathworld.wolfram.com/DualTessellation.html planar] or [https://en.wikipedia.org/wiki/Dual_polyhedron#Dual_polytopes_and_tessellations polytopic duality]), but these are not the same symmetries as square grids. Due to how hexagonal and triangular grids are handled by programs such as [[Golly]] and [[LifeViewer]], they will also appear markedly different in these respects. C2, D2, and D4 symmetries are still compatible, but C4 symmetries become meaningless because the cells no longer have a side count that is perfectly divisible by 4. Other symmetries are exclusive to these alternative grids, as indicated below:<br /> <br /> * C1<br /> * C2_1<br /> * C2_4<br /> * C3_1<br /> * C3_3 (unsupported by apgsearch)<br /> * C6<br /> * D2_xo<br /> * D2_x<br /> * D4_x1<br /> * D4_x4<br /> * D6_1<br /> * D6_1o<br /> * D6_3 (unsupported by apgsearch)<br /> * D12<br /> <br /> [[apgsearch]] currently supports most higher symmetries for hexagonal rules; the rest (C3_3 and D6_3) will be added in a future version.&lt;ref name=&quot;post66638&quot; /&gt;<br /> <br /> Another type of rotational symmetry which may not have been accounted for in the above list, arising as an alternate form of C2_2, was described in November 2021. Whether this is an actually distinct type of symmetry, however, is unknown and needs investigation.&lt;ref name=&quot;post137220&quot; /&gt;<br /> <br /> ==== Rotational ====<br /> &lt;div class=&quot;mw-collapsible mw-collapsed&quot;&gt;<br /> Click on &quot;Expand&quot; to the right to view a list of hexagonal/triangular rotational symmetries. <br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> <br /> ===== C1 =====<br /> '''C1''': Symmetric under 360° rotation. This is essentially no symmetry at all.<br /> <br /> &lt;center&gt;{{Sym-demo<br /> |rle = x = 16, y = 16, rule = B/S0123456H<br /> 16o$o14bo$o14bo$o5b2o7bo$o5bobo6bo$o6b2o6bo$o2b2o10bo$o2bobo9bo$o3b2o<br /> 4b2o3bo$o8b2o4bo$o7b2o5bo$o7b3o4bo$o8b2o4bo$o14bo$o14bo$16o!<br /> |width = 200<br /> |height = 200<br /> |caption = C1 symmetry<br /> }}&lt;/center&gt;<br /> <br /> ===== C2 =====<br /> '''C2''': Symmetric under 180° rotation. There are two possibilities:<br /> <br /> * '''C2_1''': Rotation around the center of a cell.<br /> * '''C2_4''': Rotation around the midpoint of a side of a cell.<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S0123456H<br /> 15b16o$15bo14bo$15bo14bo$15bo4b2o8bo$15bo4b3o7bo$15bo5b2o7bo$15bo4b2o<br /> 8bo$15bo3b2o4b2o3bo$15bo9bobo2bo$15bo10b2o2bo$15bo6b2o6bo$15bo6bobo5bo<br /> $15bo7b2o5bo$15bo14bo$15bo14bo$31o$o14bo$o14bo$o5b2o7bo$o5bobo6bo$o6b<br /> 2o6bo$o2b2o10bo$o2bobo9bo$o3b2o4b2o3bo$o8b2o4bo$o7b2o5bo$o7b3o4bo$o8b<br /> 2o4bo$o14bo$o14bo$16o!<br /> |width = 400<br /> |height = 400<br /> |caption = C2_1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S0123456H<br /> 16b16o$16bo14bo$16bo14bo$16bo4b2o8bo$16bo4b3o7bo$16bo5b2o7bo$16bo4b2o<br /> 8bo$16bo3b2o4b2o3bo$16bo9bobo2bo$16bo10b2o2bo$16bo6b2o6bo$16bo6bobo5bo<br /> $16bo7b2o5bo$16bo14bo$16bo14bo$16b16o$16o$o14bo$o14bo$o5b2o7bo$o5bobo<br /> 6bo$o6b2o6bo$o2b2o10bo$o2bobo9bo$o3b2o4b2o3bo$o8b2o4bo$o7b2o5bo$o7b3o<br /> 4bo$o8b2o4bo$o14bo$o14bo$16o!<br /> |width = 400<br /> |height = 400<br /> |caption = C2_4 symmetry}}<br /> |}<br /> <br /> ===== C3 =====<br /> '''C3''': Symmetric under 120° rotation. There are two possibilities:<br /> <br /> * '''C3_1''': Rotation around the center of a cell.<br /> * '''C3_3''': Rotation around a corner of a cell. (unsupported by apgsearch)<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 46, y = 46, rule = B/S0123456H<br /> o$2o$obo$o2bo$o3bo$o4bo$o5bo$o6bo$o7bo$o8bo$o9bo$o6b2o2bo$o2b2o2bobo2b<br /> o$o2b3o2b2o3bo$o3b2o8bo$o5bo8bo$bo4bo8bo$2bo4bo2b2o3bo$3bo3bo2bobo2bo$<br /> 4bo6b2o2bo$5bo9bo$6bo8bo$7bo7bo$8bo6bo$9bo5bo$10bo4bo$11bo3bo$12bo2bo$<br /> 13bobo$14b2o$31o$o14b2o14bo$o14bobo14bo$o5b2o7bo2bo14bo$o5bobo6bo3bo7b<br /> o6bo$o6b2o6bo4bo7b2ob2o2bo$o2b2o10bo5bo8b4o2bo$o2bobo9bo6bo3b2o4b2o3bo<br /> $o3b2o4b2o3bo7bo2bobo9bo$o8b2o4bo8bo2b2o10bo$o7b2o5bo9bo6b2o6bo$o7b3o<br /> 4bo10bo5bobo6bo$o8b2o4bo11bo5b2o7bo$o14bo12bo14bo$o14bo13bo14bo$16o14b<br /> 16o!<br /> |width = 400<br /> |height = 400<br /> |caption = C3_1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 48, y = 48, rule = B/S0123456H<br /> o$2o$obo$o2bo$o3bo$o4bo$o5bo$o6bo$o7bo$o8bo$o9bo$o6b2o2bo$o2b2o2bobo2b<br /> o$o2b3o2b2o3bo$o3b2o8bo$o5bo8bo$bo4bo8bo$2bo4bo2b2o3bo$3bo3bo2bobo2bo$<br /> 4bo6b2o2bo$5bo9bo$6bo8bo$7bo7bo$8bo6bo$9bo5bo$10bo4bo$11bo3bo$12bo2bo$<br /> 13bobo$14b2o$15bo2$16ob16o$o14bo2bo14bo$o14bo3bo14bo$o5b2o7bo4bo14bo$o<br /> 5bobo6bo5bo7bo6bo$o6b2o6bo6bo7b2ob2o2bo$o2b2o10bo7bo8b4o2bo$o2bobo9bo<br /> 8bo3b2o4b2o3bo$o3b2o4b2o3bo9bo2bobo9bo$o8b2o4bo10bo2b2o10bo$o7b2o5bo<br /> 11bo6b2o6bo$o7b3o4bo12bo5bobo6bo$o8b2o4bo13bo5b2o7bo$o14bo14bo14bo$o<br /> 14bo15bo14bo$16o16b16o!<br /> |width = 400<br /> |height = 400<br /> |caption = C3_3 symmetry}}<br /> |}<br /> <br /> ===== C6 =====<br /> '''C6''': Symmetric under 60° rotation.<br /> <br /> &lt;center&gt;{{Sym-demo<br /> |rle = x = 61, y = 61, rule = B/S0123456H<br /> 15bo$15b2o$15bobo$15bo2bo$15bo3bo$15bo4bo$15bo5bo$15bo6bo$15bo7bo$15bo<br /> 8bo$15bo9bo$15bo6b2o2bo$15bo2b2o2bobo2bo$15bo2b3o2b2o3bo$15bo3b2o8bo$<br /> 16o5bo8b16o$bo14bo4bo8bo14bo$2bo14bo4bo2b2o3bo14bo$3bo7b2o5bo3bo2bobo<br /> 2bo4b2o8bo$4bo6bobo5bo6b2o2bo4b3o7bo$5bo6b2o6bo9bo5b2o7bo$6bo10b2o2bo<br /> 8bo4b2o8bo$7bo9bobo2bo7bo3b2o4b2o3bo$8bo3b2o4b2o3bo6bo9bobo2bo$9bo2b4o<br /> 8bo5bo10b2o2bo$10bo2b2ob2o7bo4bo6b2o6bo$11bo6bo7bo3bo6bobo5bo$12bo14bo<br /> 2bo7b2o5bo$13bo14bobo14bo$14bo14b2o14bo$15b31o$15bo14b2o14bo$15bo14bob<br /> o14bo$15bo5b2o7bo2bo14bo$15bo5bobo6bo3bo7bo6bo$15bo6b2o6bo4bo7b2ob2o2b<br /> o$15bo2b2o10bo5bo8b4o2bo$15bo2bobo9bo6bo3b2o4b2o3bo$15bo3b2o4b2o3bo7bo<br /> 2bobo9bo$15bo8b2o4bo8bo2b2o10bo$15bo7b2o5bo9bo6b2o6bo$15bo7b3o4bo2b2o<br /> 6bo5bobo6bo$15bo8b2o4bo2bobo2bo3bo5b2o7bo$15bo14bo3b2o2bo4bo14bo$15bo<br /> 14bo8bo4bo14bo$15b16o8bo5b16o$31bo8b2o3bo$32bo3b2o2b3o2bo$33bo2bobo2b<br /> 2o2bo$34bo2b2o6bo$35bo9bo$36bo8bo$37bo7bo$38bo6bo$39bo5bo$40bo4bo$41bo<br /> 3bo$42bo2bo$43bobo$44b2o$45bo!<br /> |width = 500<br /> |height = 500<br /> |caption = C6 symmetry}}&lt;/center&gt;<br /> &lt;/div&gt;&lt;/div&gt;<br /> <br /> ==== Reflectional ====<br /> &lt;div class=&quot;mw-collapsible mw-collapsed&quot;&gt;<br /> Click on &quot;Expand&quot; to the right to view a list of hexagonal/triangular reflectional symmetries. <br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> <br /> ===== D2 =====<br /> '''D2''': There is line symmetry. There are two possibilities:<br /> <br /> * '''D2_x''': Through the vertices of a cell. <br /> * '''D2_xo''': Through the edges of a cell.<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 16, y = 16, rule = B/S0123456H<br /> 16o$o14bo$o14bo$o5b2o7bo$o5bobo6bo$o2bo3b2o6bo$o2bo11bo$o2bo6b2o3bo$o<br /> 2bo6bobo2bo$o3bo6b2o2bo$o4bo9bo$o5bo8bo$o6b4o4bo$o14bo$o14bo$16o!<br /> |width = 300<br /> |height = 300<br /> |caption = D2_x symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S0123456H<br /> 16o$bo14bo$2bo14bo$3bo8b2o4bo$4bo7b3o4bo$5bo7b2o5bo$6bo8b2o4bo$7bo3b2o<br /> 4b2o3bo$8bo2bobo9bo$9bo2b2o10bo$10bo6b2o6bo$11bo5bobo6bo$12bo5b2o7bo$<br /> 13bo14bo$14bo14bo$15b16o$15bo14bo$15bo14bo$15bo5b2o7bo$15bo5bobo6bo$15b<br /> o6b2o6bo$15bo2b2o10bo$15bo2bobo9bo$15bo3b2o4b2o3bo$15bo8b2o4bo$15bo7b<br /> 2o5bo$15bo7b3o4bo$15bo8b2o4bo$15bo14bo$15bo14bo$15b16o!<br /> |width = 300<br /> |height = 300<br /> |caption = D2_xo symmetry}}<br /> |}<br /> <br /> ===== D4 =====<br /> '''D4''': Symmetric under both reflection and 180° rotation. The reflection symmetry will be with respect to two lines. There are two possibilities:<br /> <br /> * '''D4_x1''': Rotation around the center of a cell.<br /> * '''D4_x4''': Rotation around the edges of a cell.<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B/S0123456H<br /> 15b16o$15bo14bo$15bo14bo$15bo4b4o6bo$15bo8bo5bo$15bo9bo4bo$15bo2b2o6bo<br /> 3bo$15bo2bobo6bo2bo$15bo3b2o6bo2bo$15bo11bo2bo$15bo6b2o3bo2bo$15bo6bob<br /> o5bo$15bo7b2o5bo$15bo14bo$15bo14bo$31o$o14bo$o14bo$o5b2o7bo$o5bobo6bo$<br /> o2bo3b2o6bo$o2bo11bo$o2bo6b2o3bo$o2bo6bobo2bo$o3bo6b2o2bo$o4bo9bo$o5bo<br /> 8bo$o6b4o4bo$o14bo$o14bo$16o!<br /> |width = 400<br /> |height = 400<br /> |caption = D4_x1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 32, y = 32, rule = B/S0123456H<br /> 16b16o$16bo14bo$16bo14bo$16bo4b4o6bo$16bo8bo5bo$16bo9bo4bo$16bo2b2o6bo<br /> 3bo$16bo2bobo6bo2bo$16bo3b2o6bo2bo$16bo11bo2bo$16bo6b2o3bo2bo$16bo6bob<br /> o5bo$16bo7b2o5bo$16bo14bo$16bo14bo$16b16o$16o$o14bo$o14bo$o5b2o7bo$o5b<br /> obo6bo$o2bo3b2o6bo$o2bo11bo$o2bo6b2o3bo$o2bo6bobo2bo$o3bo6b2o2bo$o4bo<br /> 9bo$o5bo8bo$o6b4o4bo$o14bo$o14bo$16o!<br /> |width = 400<br /> |height = 400<br /> |caption = D4_x4 symmetry}}<br /> |}<br /> <br /> ===== D6 =====<br /> '''D6''': Symmetric under both reflection and 120° rotation. The reflection symmetry will be with respect to three lines. There are three possibilities:<br /> <br /> * '''D6_1''': Rotation around the center of a cell with lines going through the edges of cells.<br /> * '''D6_1o''': Rotation around the center of a cell with lines going through the centers of cells.<br /> * '''D6_3''': Rotation around the corner of a cell. (unsupported by apgsearch)<br /> <br /> {| style=&quot;margin-left: auto; margin-right: auto&quot;<br /> |-<br /> | {{Sym-demo<br /> |rle = x = 46, y = 46, rule = B/S0123456H<br /> o$2o$obo$o2bo$o3bo$o4bo$o5bo$o6bo$o7bo$o8bo$o2b5o2bo$o2bo4bo2bo$o2bo5b<br /> o2bo$o2bo6bo2bo$o13bo$o14bo$bo13bo$2bo3b2o2b2o3bo$3bo2bobobobo2bo$4bo<br /> 2b2o2b2o2bo$5bo9bo$6bo8bo$7bo7bo$8bo6bo$9bo5bo$10bo4bo$11bo3bo$12bo2bo<br /> $13bobo$14b2o$31o$o14b2o14bo$o14bobo14bo$o5b2o7bo2bo7b2o5bo$o5bobo6bo<br /> 3bo6bobo5bo$o2bo3b2o6bo4bo6b2o3bo2bo$o2bo11bo5bo11bo2bo$o2bo6b2o3bo6bo<br /> 3b2o6bo2bo$o2bo6bobo2bo7bo2bobo6bo2bo$o3bo6b2o2bo8bo2b2o6bo3bo$o4bo9bo<br /> 9bo9bo4bo$o5bo8bo10bo8bo5bo$o6b4o4bo11bo4b4o6bo$o14bo12bo14bo$o14bo13b<br /> o14bo$16o14b16o!<br /> |width = 400<br /> |height = 400<br /> |caption = D6_1 symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 31, y = 31, rule = B2/S34H<br /> 16o$2o14bo$obo14bo$o2bo4b5o5bo$o3bo8b2o4bo$o4bo9b2o3bo$o5bo3b2o5b2o2bo<br /> $o6bo2bobo6bo2bo$o2bo4bo2b2o7bo2bo$o2bo5bo11bo2bo$o2bo2b2o2bo7b2o2bo2b<br /> o$o2bo2bobo2bo6bobo5bo$o2bo3b2o3bo6b2o6bo$o3bo8bo14bo$o3bo9bo14bo$o4bo<br /> 9b16o$bo3bo9bo14bo$2bo3bo8bo14bo$3bo2bo3b2o3bo6b2o6bo$4bo2bo2bobo2bo6b<br /> obo5bo$5bo2bo2b2o2bo7b2o2bo2bo$6bo2bo5bo11bo2bo$7bo2bo4bo2b2o7bo2bo$8b<br /> o6bo2bobo6bo2bo$9bo5bo3b2o5b2o2bo$10bo4bo9b2o3bo$11bo3bo8b2o4bo$12bo2b<br /> o4b5o5bo$13bobo14bo$14b2o14bo$15b16o!<br /> |width = 400<br /> |height = 400<br /> |caption = D6_1o symmetry}}<br /> | {{Sym-demo<br /> |rle = x = 48, y = 48, rule = B/S0123456H<br /> o$2o$obo$o2bo$o3bo$o4bo$o5bo$o6bo$o7bo$o8bo$o2b5o2bo$o2bo4bo2bo$o2bo5b<br /> o2bo$o2bo6bo2bo$o13bo$o14bo$bo13bo$2bo3b2o2b2o3bo$3bo2bobobobo2bo$4bo<br /> 2b2o2b2o2bo$5bo9bo$6bo8bo$7bo7bo$8bo6bo$9bo5bo$10bo4bo$11bo3bo$12bo2bo<br /> $13bobo$14b2o$15bo2$16ob16o$o14bo2bo14bo$o14bo3bo14bo$o5b2o7bo4bo7b2o<br /> 5bo$o5bobo6bo5bo6bobo5bo$o2bo3b2o6bo6bo6b2o3bo2bo$o2bo11bo7bo11bo2bo$o<br /> 2bo6b2o3bo8bo3b2o6bo2bo$o2bo6bobo2bo9bo2bobo6bo2bo$o3bo6b2o2bo10bo2b2o<br /> 6bo3bo$o4bo9bo11bo9bo4bo$o5bo8bo12bo8bo5bo$o6b4o4bo13bo4b4o6bo$o14bo<br /> 14bo14bo$o14bo15bo14bo$16o16b16o!<br /> |width = 400<br /> |height = 400<br /> |caption = D6_3 symmetry}}<br /> |}<br /> <br /> ===== D12 =====<br /> '''D12''': Symmetric under both reflection and 60° rotation. The reflection symmetry will be with respect to six lines.<br /> <br /> &lt;center&gt;{{Sym-demo<br /> |rle = x = 61, y = 61, rule = B/S0123456H<br /> 15bo$15b2o$15bobo$15bo2bo$15bo3bo$15bo4bo$15bo5bo$15bo6bo$15bo7bo$15bo<br /> 8bo$15bo2b5o2bo$15bo2bo4bo2bo$15bo2bo5bo2bo$15bo2bo6bo2bo$15bo13bo$16o<br /> 14b16o$bo14bo13bo14bo$2bo14bo3b2o2b2o3bo14bo$3bo6b4o4bo2bobobobo2bo4b<br /> 4o6bo$4bo5bo8bo2b2o2b2o2bo8bo5bo$5bo4bo9bo9bo9bo4bo$6bo3bo6b2o2bo8bo2b<br /> 2o6bo3bo$7bo2bo6bobo2bo7bo2bobo6bo2bo$8bo2bo6b2o3bo6bo3b2o6bo2bo$9bo2b<br /> o11bo5bo11bo2bo$10bo2bo3b2o6bo4bo6b2o3bo2bo$11bo5bobo6bo3bo6bobo5bo$<br /> 12bo5b2o7bo2bo7b2o5bo$13bo14bobo14bo$14bo14b2o14bo$15b31o$15bo14b2o14b<br /> o$15bo14bobo14bo$15bo5b2o7bo2bo7b2o5bo$15bo5bobo6bo3bo6bobo5bo$15bo2bo<br /> 3b2o6bo4bo6b2o3bo2bo$15bo2bo11bo5bo11bo2bo$15bo2bo6b2o3bo6bo3b2o6bo2bo<br /> $15bo2bo6bobo2bo7bo2bobo6bo2bo$15bo3bo6b2o2bo8bo2b2o6bo3bo$15bo4bo9bo<br /> 9bo9bo4bo$15bo5bo8bo2b2o2b2o2bo8bo5bo$15bo6b4o4bo2bobobobo2bo4b4o6bo$<br /> 15bo14bo3b2o2b2o3bo14bo$15bo14bo13bo14bo$15b16o14b16o$31bo13bo$32bo2bo<br /> 6bo2bo$33bo2bo5bo2bo$34bo2bo4bo2bo$35bo2b5o2bo$36bo8bo$37bo7bo$38bo6bo<br /> $39bo5bo$40bo4bo$41bo3bo$42bo2bo$43bobo$44b2o$45bo!<br /> |width = 500<br /> |height = 500<br /> |caption = D12 symmetry}}&lt;/center&gt;<br /> &lt;/div&gt;&lt;/div&gt;<br /> <br /> === Minor spatial symmetries ===<br /> Hexagonal rules can also support gutter symmetry,&lt;ref name=&quot;post66215&quot; /&gt; however, like with many square grid gutters, apgsearch does not currently support searching with these.<br /> <br /> === Temporal symmetries ===<br /> There does not seem to have been an attempt at describing all possible oscillator and spaceship time symmetries on {6,3} and {3,6} so far.<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post28936&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Truly Bilateral Life-Like rules<br /> |p = 28936<br /> |author = BlinkerSpawn<br /> |date = March 19, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66215&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Non-totalistic hex rules<br /> |p = 66215<br /> |author = Connor Steppie<br /> |date = December 5, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66638&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 66638<br /> |author = Adam P. Goucher<br /> |date = December 20, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post137220&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Help with symmetries<br /> |p = 137220<br /> |author = GUYTU6J<br /> |date = November 2, 2021<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_s.htm#symmetric|name=Symmetric}}<br /> {{LinkForumThread|f=7|t=1898|title=Help with symmetries}}<br /> <br /> [[Category:Everything else]]</div>

Praosylen https://conwaylife.com/w/index.php?title=Tutorials/Glider_syntheses&diff=86199 2021-12-20T19:57:31Z

<p>Praosylen: </p> <hr /> <div>[[Glider synthesis]] is the process of colliding [[glider]]s – the smallest [[spaceship]] in [[Conway's Game of Life]] – in a specific way to construct a specific object. It is one of the few areas in the Game of Life that many discoveries can still be made without using scripts.<br /> <br /> This is an example of a glider synthesis:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 73, y = 28, rule = B3/S23<br /> 52bo$50bobo$51b2o4$51bobo$52b2o2bobo4bo$52bo3b2o5bobo$2bo54bo5b2o$<br /> obo$b2o$49b2o$13bo35bo$3b2o6b2o37b3o12bo$4b2o6b2o38bo10b2o$3bo51b<br /> 2o7b2o$55b2o$8b2o$9b2o54b2o$8bo48b2o5b2o4b3o$58bo7bo3bo$12bo45bobo<br /> 10bo$12b2o45b2o$11bobo$16b3o$16bo$17bo!<br /> [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> It is a 13-glider synthesis of [[Achim Flammenkamp]]'s [[pseudo-barberpole]], which, at the time of writing, is the cheapest synthesis known of that object. Note that this particular synthesis can be divided into two stages which can take place arbitrarily far apart; multi-stage synthesis are typically shown this way to make it easier to see what is happening in each step. The three still life syntheses are independent and could also be moved into separate stages, so this is really a four-stage synthesis. Simple well-separated still lifes tend to be trivial to construct, and often the order of construction doesn't matter, so several stages are sometimes left combined in cases like this.<br /> <br /> ==Locating known glider syntheses==<br /> To locate a known glider synthesis, there are three main places you should look:<br /> * [https://catagolue.hatsya.com/syntheses The &quot;Syntheses&quot; page] on [[Catagolue]], showing the current synthesis data from [[Shinjuku]]<br /> * [[Mark Niemiec]]'s [https://conwaylife.com/ref/mniemiec/lifepage.htm synthesis database],<br /> * [[2718281828]]'s [https://github.com/dvgrn/glider-collisions/tree/main/three-glider-collisions 3G collision database] (see [[#3-glider_collision_database|3-glider collision database]] below)<br /> <br /> As of September 2021, many of the syntheses in Niemiec's database are out of date, but the site does have some recipes that aren't on Catagolue yet.<br /> <br /> Also, there's a very important difference between the two databases. Shinjuku/Catagolue focuses on documenting the single synthesis of each object that takes the smallest number of gliders. By contrast, Niemiec's database collects many types of syntheses for a large number of objects, including more expensive ones. For example, there may be syntheses of two combined objects where each type of object is added to an already existing instance of the other type. Or there might be syntheses where all gliders come from one side of the object (useful in building the object near other existing objects), and so on.<br /> <br /> Sometimes you will not find a synthesis for a particular object in any of these places. That could be because:<br /> <br /> * There does exist a known synthesis, but it is hidden somewhere obscure. Your best bet is to ask on the ConwayLife.com forums.<br /> * No syntheses are known because no-one has decided to synthesise that specific object before. These are usually pretty easy to make a synthesis for yourself.<br /> * No syntheses are known because the object is very difficult to synthesise. An example of this would be [[Sir Robin]].<br /> * The object has been proven impossible to synthesise. Examples of this include all [[Gardens of Eden]] as well as solutions to the [[grandfather problem]].<br /> <br /> In the next section we will look at how to make your own syntheses.<br /> <br /> ==Making your own glider syntheses==<br /> <br /> ===Using [[Catagolue]] to find glider syntheses===<br /> Before you start, you will need to download a Python script posted by [[Brett Berger]] [https://www.conwaylife.com/forums/viewtopic.php?f=9&amp;t=2032&amp;start=0#p27202 here]. (If you are using Golly 4.0 or above, you will need the version linked at the bottom of the post.) If you select an object (which can either be a true object or a [[constellation]]) in [[Golly]] and run this script, it will open the object's [[Catagolue]] page. You might instead want to use &lt;tt&gt;synthtools.py&lt;/tt&gt; in [[Shinjuku]] to do the following process more quickly. More details about this will be given in &quot;Using search programs to assist in creating syntheses&quot;.<br /> <br /> Let's say you want to find a synthesis for block on down [[candlefrobra]], which, according to Mark Niemiec's website, takes 12 gliders:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 10, y = 5, rule = B3/S23<br /> 4bo$2obob2obo$2obo3bobo$3bo4bo$3b2o! [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Select the pattern in Golly and run the script mentioned above. It should bring you to {{LinkCatagolue|xp3_025qz32qq1|style=raw|patternname=this page}} on Catagolue. This page also contains a best-known synthesis with six gliders or less, but for the purposes of this tutorial, please ignore that!<br /> <br /> Scroll down to the part of the page with lots of differently coloured dots. These are all sample soups for the object. The black ones are [[symmetry|asymmetric]] [[soup]]s, which are the easiest to make syntheses from. (However, it should not be forgotten that you can still get good syntheses from symmetric soups -- especially if the object has the same type of symmetry as the soup.)<br /> <br /> So click on the first asymmetric soup (the first black dot), and copy the [[RLE]] it provides into [[Golly]]. You should get this:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 16, y = 16, rule = B3/S23<br /> ob2o3bo2bo2bobo$ob5ob3o2bobo$obobo4b2obo2bo$3b2o5b3obo$2bobo8b3o$bo2bo<br /> 4b5obo$4b6obo2b2o$obo2b2o2b4o$o2bob4obo3b2o$5b3o2bo3bo$6bob2ob2o2bo$2b<br /> 2ob5obob2o$4o3b2obobo2bo$ob3ob2obo3b2o$3b3ob5o2b2o$bo3b2obob2obo! [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Now run the soup until the [[candlefrobra]] appears (this should happen at generation 919). Use the &lt;tt&gt;goto.py&lt;/tt&gt; script (which comes with Golly) to go 20 generations back. Watch each generation up to the candlefrobra's formation step-by-step to see which objects react to make the candlefrobra. Next, go back 20 generations, select the objects that reacted to make a candlefrobra, and paste them into a new layer.<br /> <br /> Test to see if that pasted pattern works. If it doesn't work, go back to the layer with the soup, and select and paste a larger area. Once you've deleted any objects that don't participate in the reaction, you should get something like this:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 11, y = 16, rule = B3/S23<br /> 9bo$8bobo$9b2o2$6bo$2o3bobo$2o2b2ob2o6$5bobo$4b3o$3b3o$3b2o! [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> The reaction is [[pi]] + [[block]] + [[boat]] + [[traffic light]] --&gt; [[candlefrobra]] + some junk. We know how to make all those reactants with gliders, so we can now make a synthesis! In fact, all of the reactants can be made in two gliders (those collisions can be found in &lt;tt&gt;two-glider-collisions.rle&lt;/tt&gt; in Golly's pattern collection).<br /> <br /> However, before you start, you may notice that not all of the blinkers in the traffic light react before making the candlefrobra. So maybe we don't need all of the blinkers. In fact, the only blinker we need is the top one. Try deleting the rest of the blinkers just before the traffic light first reacts. This isn't necessary, but to help your understanding, I've replaced the traffic light predecessor with one that only makes a blinker to get this:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 11, y = 19, rule = B3/S23<br /> 9bo$8bobo$9b2o2$6bo$2o3bobo$2o2b2ob2o8$5b2o$2b3obo$2b2o$2b2obo$3bobo! [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Now there is also no junk left over after the synthesis, only the candlefrobra.<br /> <br /> Now you can start the synthesis. To do this, you should synthesise each of the reactants separately in such a way that they work when put together. You can find all the syntheses you need for this in &lt;tt&gt;two-glider-collisions.rle&lt;/tt&gt;. Try to do this yourself. If you can't manage to make it work using only 2-glider collisions, look in Mark Niemiec's website to find more useful syntheses.<br /> <br /> If you need a hint, these are the syntheses I would use (zoomed out in case you don't want the hint):<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 35, y = 29, rule = B3/S23<br /> bo26bo$2bo14bo11b2ob2o$3o13bobo9b2o2bobo$4bo12b2o13bo$3bo$3b3o8bo$8b2o<br /> 3bobo$8b2o2b2ob2o2$25b2o$24bobo$26bo2$27b2o$27bobo$13b2o12bo$10b3obo$<br /> 10b2o$10b2obo$11bobo6$bobo$2b2o2b2o$2bo2b2o$7bo! [[ ZOOM -16 THEME 6 THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> If you used the hint, note that you may need to rewind some of the syntheses to make it work.<br /> <br /> How did you go? If you created a synthesis with less than 12 gliders then congratulations, you would have created a record-breaking synthesis! For reference, this is the synthesis I created which used 8 gliders:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 17, y = 21, rule = B3/S23<br /> 9bobo$bo8b2o$2bo7bo3b3o$3o11bo$4bo10bo$3bo$3b3o2$7b2o$6bobo$8bo$2bo$ob<br /> o6b2o$b2o6bobo$9bo4$10b3o$10bo$11bo! [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> In this example with the block on trans-candlefrobra, we were lucky to get a good reaction from the very first soup. Sometimes you will have to look through 20 or more soups before finding a suitable reaction.<br /> <br /> If you want more practice for creating synthesis from a reaction, here is the reaction the current record holding synthesis of [[why not]] (7 gliders) was made with:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 22, y = 14, rule = B3/S23<br /> 17bo$16b3o$15b2ob2o$19b2o$19b3o$19b2o$10b3o2b2ob2o$2o8bobo3b3o$b2o7b3o<br /> 4bo$o3$12b2o$12b2o! [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Good luck!<br /> <br /> ===Using converters to make syntheses===<br /> <br /> Let’s say we want to make a synthesis for this 18-bit still-life:<br /> &lt;center&gt;{{LV:Viewer|x = 11, y = 6, rule = B3/S23<br /> 9bo$8bobo$2o2b2obobo$o2bobobo$2b2obobo$6bo!<br /> [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> So we run the pattern-to-Catagolue script, and it brings us [http://catagolue.hatsya.com/object?apgcode=xs18_g8ge1e8628cz01&amp;rule=b3s23 here]<br /> But there (at the time of writing) are no Catagolue soups!<br /> So what can we do? It is time to be introduced to the world of converters…<br /> <br /> A converter is a collision of gliders with a still-life/oscillator, which turns it into a new still-life/oscillator. Here is an example of a converter. It turns a [[hook]] into a [[barge]]:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 37, y = 11, rule = B3/S23<br /> 12bo$12bobo$5bo6b2o$3bobo$4b2o$bo26bo$b2o6b2o16bobo$obo7bo17bobo$9bo5b<br /> 2o12bo5b2o$10b3obobo13b3obobo$12b2o18b2o!<br /> [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Converters are very useful for creating syntheses that are too large and/or rare to turn up on Catagolue. For example, the [[duodecapole]] currently has no appearances on Catagolue, but we can still create a synthesis from a barberpole-lengthening converter and an already known synthesis for the [[decapole]] like this:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 113, y = 33, rule = B3/S23<br /> 26bo$27b2o15bo$26b2o16bobo$44b2o38bo$82bobo6bo$2bo80b2o4b2o5bo$obo83bo<br /> 3b2o2b2o$b2o83b2o7b2o$85bobo$26bobo$26b2o63b2o$27bo63bo$59bo32bobo$23b<br /> obo32bo$24b2o5bobo24b3o33bobo$24bo7b2o$32bo9bo53bobo$41b2o7bo$14b3o24b<br /> obo5b2o47bobo$16bo32bobo$15bo84bobo$47bo55bo$47b2o53b2o$46bobo$107bobo<br /> $72b2o24b2o7b2o$72bobo24b2o2b2o3bo$72bo25bo5b2o4b2o$103bo6bobo$29b2o<br /> 79bo$28bobo16b2o$30bo15b2o$48bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Here are three places you will find converters:<br /> * Martin Grant’s [https://www.conwaylife.com/forums/viewtopic.php?p=80949#p80949 collection] (also includes some components taken from [[Shinjuku]])<br /> * Bob Shemyakin’s [https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2441&amp;start=175#p38455 collection] (less comprehensive, but has the advantage that components are sorted by both glider cost and change in population)<br /> * Various places in the [https://www.conwaylife.com/forums/ forums]<br /> <br /> So with this new knowledge, back to synthesising the 18-bit still life:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 11, y = 6, rule = B3/S23<br /> 9bo$8bobo$2o2b2obobo$o2bobobo$2b2obobo$6bo!<br /> [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> So what could we convert that from? We could convert it from the equivalent with a [[snake]] instead of a [[carrier]], but I would convert it from the equivalent with a [[hook]] instead of a [[tub]], because it is more likely to have more soups on Catagolue, and the corresponding converter is cheaper:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 20, y = 12, rule = B3/S23<br /> 10bo$8bobo$9b2o$15bo$13b2o$14b2o$17b2o$9b2o6bobo$b2o2b2obobo6bo$bo2bob<br /> obo$3b2obobo$7bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> Now, when we go to the Catagolue page of the [http://catagolue.hatsya.com/object?apgcode=xs17_0c9jz255lo&amp;rule=b3s23 still-life with the hook], we find it has lots of soups (at the time of writing it is 43!)<br /> <br /> So let’s try the first soup:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 16, y = 16, rule = B3/S23<br /> o4b2o5b2o$ob4o2bobo3bo$5bo6bob2o$bob3o6b2obo$obo2bobobo2bo$ob2o2bo3b4o<br /> bo$o2bobobobo3bobo$2b2ob4ob2o2b2o$bo3bobobobo$5o2b2obobo2bo$o6b3o2b2o$<br /> 2o3bo3b2obo2bo$o3b3o4bo2bo$o3bobob3o2bo$b3ob3o2b2ob3o$ob4ob4obobo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> The soup reduces to this predecessor:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 19, y = 25, rule = B3/S23<br /> 9b2o$8bo2bo$9bobo$10bo2$17b2o$17b2o2$13bo$12bobo$12bobo$13bo2$11bo$10b<br /> 3o$9b2ob2o$10b3o$11bo$5b2o$4bo2bo$4bobo$5bo2$2o$2o![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> But before we start the synthesis, there are a few clever tricks we can do that will reduce the overall synthesis. The block only acts as cleanup, so perhaps it can be replaced with a glider:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 23, y = 34, rule = B3/S23<br /> 13b2o$12bo2bo$13bobo$14bo2$21b2o$21b2o2$17bo$16bobo$16bobo$17bo2$15bo$<br /> 14b3o$13b2ob2o$14b3o$15bo$9b2o$8bo2bo$8bobo$9bo10$2o$b2o$o!<br /> [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> 1 glider less. The loaf only partly reacts before being separated from the rest of the reaction, so maybe it can be substituted with a glider. Also, the glider that we replaced a block with actually is only acting as cleanup for the loaf’s reaction, so if we replace the loaf with a glider in the right way, the other glider can be removed. Unfortunately, the loaf can’t be replaced by 1 glider, but replacing it with 2 gliders still reduces the cost:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 18, y = 34, rule = B3/S23<br /> 8b2o$7bo2bo$8bobo$9bo2$16b2o$16b2o2$12bo$11bobo$11bobo$12bo2$10bo$bo7b<br /> 3o$2bo5b2ob2o$3o6b3o$10bo14$16b2o$15b2o$17bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> 2 gliders less. But we can do even more! Often it is possible to synthesise two nearby objects at once, instead of separately, to achieve a cheaper cost in gliders. In this example, the beehive and the traffic light can be made together in a 3-glider synthesis, instead of using 4 gliders to synthesise them separately. (More details on how these are found in a later tutorial.)<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 9, y = 8, rule = B3/S23<br /> 4bo$4bobo$4b2o$2bo$obo$b2o4b2o$6b2o$8bo!<br /> [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> 3 gliders less! See if you can complete the synthesis of the 17-bit still-life from there…<br /> <br /> <br /> …How did you go? This is the 11 glider synthesis I got:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 64, y = 75, rule = B3/S23<br /> 39bobo$39b2o$40bo27$18bo$16bobo$17b2o$31bo$18b3o10bobo$18bo12b2o$19bo$<br /> 23bobo$bo21b2o$2bo21bo$3o10bobo12b2o$14b2o12bobo$14bo13bo6$26b2o$26bob<br /> o$26bo16$61b2o$61bobo$61bo5$34b2o$33b2o$35bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Now all we need to do to complete the synthesis of the 18-bit still-life is to add the converter:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 139, y = 75, rule = B3/S23<br /> 39bobo$39b2o$40bo27$18bo$16bobo$17b2o$31bo$18b3o10bobo$18bo12b2o$19bo<br /> 87bo$23bobo79bobo$bo21b2o81b2o$2bo21bo87bo$3o10bobo12b2o80b2o$14b2o12b<br /> obo80b2o$14bo13bo85b2o21bo$75b2o29b2o6bobo19bobo$67b2o2b2obobo21b2o2b<br /> 2obobo6bo13b2o2b2obobo$67bo2bobobo23bo2bobobo22bo2bobobo$69b2obobo25b<br /> 2obobo24b2obobo$73bo30bo29bo$26b2o$26bobo$26bo16$61b2o$61bobo$61bo5$<br /> 34b2o$33b2o$35bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> And we’re done! We successfully created a 14 glider synthesis of a still-life with no appearances on Catagolue, by constructing it from another still-life which did have appearances on Catagolue.<br /> <br /> If you want more practice at using converters and Catagolue to find syntheses, try finding a synthesis for this still-life:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 9, y = 10, rule = B3/S23<br /> 2o$obo$3bo3bo$4bobobo$5b2obo$7bo$5b2o$5bo$6bo$5b2o!<br /> [[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Converters are used in many others ways than just assisting soup search result-based syntheses. They are used a lot in the syntheses of difficult objects like billiard tables and spaceships. For example, this is the current best [[weekender]] synthesis as of August 2019 (79 gliders):<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 659, y = 46, rule = B3/S23<br /> 635bo$633bobo$634b2o$271bo372bo$272b2o369bo$46bo70bobo151b2o370b3o<br /> 10bo$47b2o69b2o534b2o$46b2o70bo160bo375b2o$277b2o360bo5bo$53bo7bo<br /> 117bo92bo5b2o96bo260bobo6bo$51bobo6bo119bo92b2o99b2o252bo9b2o4b3o$<br /> 52b2o6b3o4bobo108b3o91b2o101b2o252b2o$obo54bo9b2o160bo155bo242b2o$<br /> b2o52b2o11bo68bo44bo47b2o153bobo$bo54b2o77b2o44bo47b2o154b2o$126bo<br /> bo7b2o43b3o140b2o49b2o$62b3o61b2o104bo41bo50bo50bo248bo$62bo56b2o<br /> 6bo99bo4bobo38bobo48bo50bo6bo240b2o$10bobo36bo13bo51b2obobo51b2ob<br /> 2o46b2obobo3b2o35b2obobo8bo36b2obo47b2obo7bobo39b2ob2o11bo38b2ob2o<br /> 38b2ob2o46b2ob2o46b2o12b2ob2o14b2o$11b2o35bobo50bo12bobobo52bobob<br /> 2o3b2o40bobob2o40bobob2o9bobo33bobob2o8bobo34bobob2o6b2o39bobobobo<br /> b2o6bo38bobobobob2o33bobobobob2o41bobobobob2o55bobobobob2o9b2o$11b<br /> o36bobo5b2o44b2o10bobobo52bobo5bo2bo39bobo43bobo12b2o34bobo11b2o<br /> 35bobo3bo9b2o35bobo3bobo7b3o36bobo3bob2o33bobo3bob2o41bobo3bob2o<br /> 55bobo3bob2o11bo$47b2ob2o3b2o44b2o10b2obob2o10bobo37b2obob2o3b2o4b<br /> 3o32b2obob2o39b2obob2o5b2o37b2obob2o4b2o3bo34b2obob2o10bobo33b2obo<br /> bobobobo43b2obo3bo35b2obo3bo43b2obo3bo46bo10b2obo3bo$4bo43bobo6bo<br /> 56bobo13b2o36bo2bobob2o9bo32bo2bobobobo3b2o31bo2bobobobo4bobo34bo<br /> 2bobobo5bobo35bo2bobobo11bo33bo2bobob2o3b2o41bo2bobobobo33bo2bobob<br /> obo41bo2bobobobo46b2o7bo2bobobobo$4b2o42bobo63bobo14bo36b2o2bo14bo<br /> 31b2o2bo3bo4bobo30b2o2bo3bobo3bo36b2o2bo3bo4bo37b2o2bo3bo44b2o2bo<br /> 13bo36b2o2b2ob2o34b2o2b2ob2o42b2o2b2ob2o14bo31bobo7b2o2b2ob2o$3bob<br /> o43bo51b2o12bo10b2o104bo41bo50bo9b2o39bo59b2o152b2o$9b3o88bobo23bo<br /> bo52b3o140b2o8b2o39b2o60b2o34bo61bo55b2o$11bo90bo4bo18bo54bo47b2o<br /> 105bo137bo43b2o13b2o34b2o11bo51b2o11bo$10bo96b2o73bo47b2o240b3o3bo<br /> 39bobo13b2o33bobo10b3o49bobo10b3o4b3o$106bobo120bo247b2o40bo50bo<br /> 14bo49bo14bo3bo$178b3o91b2o101b2o59b3o38bobo104b2o63bo5bo$15bo96b<br /> 2o66bo92b2o99b2o44b2o8b2o4bo99b2o111b2o$13b2o98b2o64bo92bo5b2o96bo<br /> 42bobo7b2o6bo98bobo99b2o$9bo4b2o96bo164b2o142bo9bo104bo100bobo$9b<br /> 2o268bo307b3o36b2o11bo$8bobo105b2o308b2o159bo39b2o$116bobo152b2o<br /> 152bobo160bo37bo$116bo155b2o153bo155b3o51bo5b3o$271bo313bo50b2o5bo<br /> 9bo$584bo51bobo5bo7b2o$652bobo$428b3o$428bo214bo$429bo213b2o$631b<br /> 2o9bobo$632b2o$631bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 WIDTH 1280 ]]}}&lt;/center&gt;<br /> <br /> ===Using search programs to assist in creating syntheses (incomplete)===<br /> <br /> ====3-glider collision database====<br /> ''For this part of the tutorial, you will need to use Python scripts with Golly.''<br /> <br /> =====synthesise-constellation.py=====<br /> Below is a 25-glider synthesis of [[lightweight emulator]]:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 163, y = 51, rule = B3/S23<br /> 71bo$47bobo19bobo$48b2o20b2o$48bo30bo$79bobo$79b2o18bo$99bobo$63bo6bo<br /> 28b2o$49bo12bo5b2o$50b2o10b3o4b2o$49b2o2$92bobo$92b2o$3bobo87bo$3b2o<br /> 146b2o2b2o2b2o$4bo70b2o74bo2b4o2bo$bo73b2o75b8o$b2o146b3o8b3o$obo146bo<br /> 2bo6bo2bo$150b2o8b2o$93b2o$93bobo$93bo10bo$103b2o$46bobo54bobo$47b2o$<br /> 47bo10bo$56bobo$57b2o$150b2o8b2o$3bobo143bo2bo6bo2bo$3b2o144b3o8b3o$4b<br /> o70b2o75b8o$bo73b2o69b2o3bo2b4o2bo$b2o142bobo3b2o2b2o2b2o$obo55bo88bo$<br /> 58b2o$57bobo2$101b2o$81b2o4b3o10b2o$82b2o5bo12bo$51b2o28bo6bo$50bobo$<br /> 52bo18b2o$70bobo$72bo30bo$80b2o20b2o$80bobo19bobo$80bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Notice that in the first step, two [[block]]s are created using a total of four gliders. This may be the most obvious way to synthesise them, but is it the cheapest?<br /> <br /> This is where [[2718281828]]'s [https://github.com/dvgrn/glider-collisions/tree/main/three-glider-collisions/synthesise-constellation 3G collision database] comes in. It contains ~460,000 different three-glider collisions and the objects/constellations they produce, and includes a Python script created by [[Goldtiger997]] to search through the database. Download the three files and place them somewhere convenient, preferably your &lt;tt&gt;Scripts\Python&lt;/tt&gt; folder. In Golly, paste the desired constellation into a new layer and run &lt;tt&gt;synthesise-constellation.py&lt;/tt&gt;. If there are any collisions in the database that produce the same objects in the same positions relative to each other, they will all be displayed.<br /> <br /> Let's try this with our two-block constellation. After running the script, we get this:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 268, y = 36, rule = B3/S23<br /> 2bo61bo35bo67bo44bo36bo$obo61bobo34b2o63b2o46b2o35b2o$b2o61b2o34b2o65b<br /> 2o44b2o35b2o2$218bo36bo$216b2o35b2o$217b2o35b2o17$111bo39bo$112bo39bo$<br /> 13bo37bo58b3o37b3o$14bo37bo$12b3o35b3o62bo39bo$113b2o38b2o$114b2o38b2o<br /> $13b2o36b2o$13bobo35bobo$13bo37bo$201bo64bo$201b2o62b2o$200bobo62bobo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> All six of these collisions work in essentially the same way, by colliding a glider with a [[pi-heptomino]]. Since the two blocks are the first step of our lightweight emulator synthesis, we don't have to worry about other nearby objects interfering, so any of these will be suitable. In other cases, you may have to try several of these collisions before finding one that works for the synthesis you're working on.<br /> <br /> Now that we have a three-glider collision of the two blocks, our lightweight emulator synthesis has been reduced to 24 gliders, which is currently the cheapest known as of the time of writing:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 167, y = 47, rule = B3/S23<br /> 87bo$66bo21b2o$64bobo20b2o$65b2o26bo$91b2o$92b2o19bo$111b2o$82bo<br /> 29b2o$67bo7bobo3bo$68bo6b2o4b3o$66b3o7bo2$105bo58bo$105bobo43b2o2b<br /> 2o2b2o3bobo$90b2o13b2o44bo2b4o2bo3b2o$90b2o60b8o$149b3o8b3o$106b2o<br /> 41bo2bo6bo2bo$105b2o43b2o8b2o$107bo8b2o$116bobo$116bo$o$b2o3bo$2o<br /> 3b2o$5bobo57bo$63bobo$64b2o8bo$75b2o73b2o8b2o$74b2o73bo2bo6bo2bo$<br /> 149b3o8b3o$90b2o60b8o$75b2o13b2o59bo2b4o2bo$74bobo74b2o2b2o2b2o$<br /> 76bo$31b2o$30b2o73bo7b3o$32bo65b3o4b2o6bo$100bo3bobo7bo$68b2o29bo$<br /> 69b2o$68bo19b2o$89b2o$88bo26b2o$93b2o20bobo$92b2o21bo$94bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> '''Note:''' As of April 2020, [https://github.com/dvgrn/glider-collisions/tree/main/four-glider-collisions a new version of this script] is available which contains a subset of four-glider collisions in addition to the two- and three-glider collisions. The installation instructions are the same; just make sure to copy both the 3G and 4G files. If your three-glider search gives no results, try this search instead. The collisions are also laid out in a grid instead of a line in this version.<br /> <br /> =====synthesise-patt.py - synthesising active objects=====<br /> &lt;tt&gt;synthesise-patt.py&lt;/tt&gt; uses the same database as &lt;tt&gt;synthesise-constellation&lt;/tt&gt;, but is instead used to synthesise unstable objects and is therefore more useful when multiple things are happening during a given synthesis step. It can be found [https://github.com/dvgrn/glider-collisions/tree/main/three-glider-collisions/synthesise-patt here]. Like before, place the three files in your &lt;tt&gt;Scripts\Python&lt;/tt&gt; folder.<br /> <br /> Let's start with a 7-glider [[bridge]] [[snake]] component, taken from [https://www.conwaylife.com/ref/mniemiec/12/12-105.rle Mark Niemiec's database]:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 22, y = 22, rule = B3/S23<br /> 5bob2o$5b2obo2$10bo$10bo8bobo$10bo8b2o$20bo2$17b2o$16b2o$18bo5$3o16b2o<br /> $2bo16bobo$bo17bo2$3b3o$5bo$4bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> In generation 25, we can see the following unstable object, created from a [[blinker]] and two gliders, for 4 gliders total:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 6, y = 2, rule = B3/S23<br /> 3o$3b3o![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Let's see if there's a way to make this object with only 3 gliders, and therefore the bridge snake component in 6 gliders. Place it into a new layer and run the script; if it's running correctly you should see something like &quot;X collisions found, Y collisions tried&quot; in the top left of Golly. After a few seconds, you should see a list of all syntheses whose population counts over time match that of the given object. For this object in particular, you should see these six syntheses:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 382, y = 14, rule = B3/S23<br /> 4bo70bo74bo81bo67bo77bo$5bo70b2o73b2o80bo67b2o73b2o$3b3o69b2o73b2o79b<br /> 3o66b2o75b2o$155bo$79bo75b2o147bobo74bo$2o77b2o73bobo76b3o68b2o73b2o$b<br /> 2o75bobo154bo69bo74b2o$o158b2o64bobo6bo74b2o65bo$158b2o66b2o80b2o67bo$<br /> 160bo65bo83bo64b3o$7b2o$7bobo67b3o$7bo69bo$78bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Now comes the fun part: determining which, if any, of these is suitable for our bridge snake component. In most cases, collisions where gliders come from only two directions perpendicular to each other tend to be the most likely to work, but in this case third one from the left seemed promising:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 10, y = 11, rule = B3/S23<br /> obo$b2o$bo2$4b2o$5b2o$4bo2$8bo$7b2o$7bobo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Mirroring this horizontally, we can see that it seems to fit in well with the snake, as all three gliders come from the other three directions:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 15, y = 11, rule = B3/S23<br /> 12bobo$ob2o8b2o$2obo9bo2$9b2o$8b2o$10bo2$6bo$6b2o$5bobo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 STOP 13 ]]}}&lt;/center&gt;<br /> <br /> Now we can paste in the other three gliders, and rewind them a few generations so they show up at the correct time, and our 6G component is complete:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 17, y = 20, rule = B3/S23<br /> 14bobo$2bob2o8b2o$2b2obo9bo2$11b2o$10b2o$12bo2$8bo$8b2o$7bobo3$3o10b2o<br /> $2bo10bobo$bo11bo2$3b3o$5bo$4bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> When choosing a generation on which to run the script, it's often a good idea to pause just before the object begins to interact with other stuff, so you get as many potentially useful collisions as possible. However, if you run the script and it gives you several hundred collisions producing irrelevant objects, you may want to consider rewinding a few generations so that the script searches for a more specific population sequence and is therefore more likely to give the pattern you want.<br /> <br /> As practice, try to complete this component:<br /> &lt;center&gt;{{LV:Viewer|x = 16, y = 14, rule = B3/S23<br /> o$b2o$2o2$8bo$9b2o$8bobo$8bobo$9bo2$12b2o$12bo$13b3o$15bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> A four-glider solution can be found [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=3267&amp;p=122047#p122047 here].<br /> <br /> =====find-octohash-Python3.py - finding active objects in 1G collisions=====<br /> Another database that can be useful when a specific active reaction is needed is the '''octohash''' database. The name &quot;octohash&quot; denotes a hash function that returns the exact same hash value for any of the eight orientations of a pattern -- i.e, the octohash of any rotation or reflection of a pattern will always be the same as the octohash of the original pattern. [[lifelib]] has a similar function available called &quot;octodigest&quot;, but the octohash database is designed to work with Golly and Python, without any dependency on lifelib.<br /> <br /> The database is just a series of simple text files containing ten printable ASCII characters for each generation of each glider collision with each constellation. Python can search through these text files very quickly to find matching hashes. The hashing function first finds the canonical orientation of the current phase of the collision. Then it runs the RLE through a SHA1 hash function, throws away everything except the first seven bytes, and encodes the resulting integer in base 90 using the ASCII characters from 37 to 126 -- mostly. Backslashes, apostrophes, and commas are replaced with &quot;!&quot;, &quot;#&quot;, and &quot;$&quot; respectively, to make the text strings a little less likely to cause any escape-character or quote-character issues, in any programming language that may be used to work with these octohash strings.<br /> <br /> This turns out to be a good enough hash function that no [https://en.wikipedia.org/w/index.php?title=Hash_collision hash collisions] showed up in the entire set of 12x12 constellation / glider interactions.<br /> <br /> The current octohash database catalogues every generation of every possible collision between a single glider and all possible small constellations of common objects. Constellations may contain up to two well-separated objects -- no [[pseudo]] still lifes -- and must fit inside a 12x12 bounding box. The objects used in the enumeration were [[block]], [[boat]], [[beehive]], [[tub]], [[pond]], [[ship]], [[loaf]], [[eater]], [[long boat]], and [[blinker]].<br /> <br /> To use the octohash database, clone the [https://github.com/dvgrn/octohash octohash Git repository], or try the &quot;Download ZIP&quot; option under the &quot;Code&quot; dropdown. In Golly, select the active pattern you want to create with a 1G collision. For example, if you want to create a [[pentadecathlon]] by hitting a [[seed]] constellation with a trigger glider, place any of the 15 phases of a pentadecathlon in the Golly universe, select it, and run '''find-octohash-Python3.py'''.<br /> <br /> There turns out to be exactly one constellation of two common objects inside 12x12 that produces a clean pentadecathlon when hit by exactly the right glider:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 17, y = 8, rule = B3/S23<br /> 15bo$14bo$14b3o$2o$obo$2bo5bo$2b2o3bobo$7b2o![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> The original '''find-octohash.py''' works with Python 2.x and Golly 3.x. Presumably most users going forward will be using Golly 4.0 or above, so will need to run '''find-octohash-Python3.py''' instead.<br /> <br /> Unlike '''synthesise-patt.py''' vs. '''synthesise-constellation.py''', the octohash search script works equally well for stabilized [[ash]] or for active patterns, because the database records a seven-byte hash value for every generation of every collision.<br /> <br /> ====collisrc.py====<br /> ''For this part of the tutorial, you will need to first install [[lifelib]]. If you already have [[apgsearch]], you can use the filepath to your'' &lt;tt&gt;apgmera\lifelib&lt;/tt&gt; ''folder to run this script.''<br /> <br /> [[praosylen]]'s &lt;tt&gt;collisrc.py&lt;/tt&gt; (short for &quot;collision search&quot;) script randomly collides gliders with a given still life and records any interesting still lifes it finds, and is primarily designed to find new or reduced components. The latest version can be found [https://www.conwaylife.com/forums/viewtopic.php?p=80765#p80765 here], and a list of search parameters can be found [https://www.conwaylife.com/forums/viewtopic.php?p=80044#p80044 here]. You can also try out [https://www.conwaylife.com/forums/viewtopic.php?p=80542#p80542 Alex Greason's version] of the script which relies on [[Shinjuku]] and runs on large numbers of still lifes, trying a set number of collisions for each one.<br /> <br /> =====spark-search-Python3.py - finding cheaper substitutes for sparks=====<br /> See Chris Cain's walkthrough at the beginning of the [https://conwaylife.com/forums/viewtopic.php?p=85119#p85119 spark_search thread] for details. A Python3-compatible version of the spark-search.py script has been edited in to the first post.<br /> <br /> =====popseq.py and popseq.c - finding cheaper substitutes for sparks, continued=====<br /> Another tool related to synthesise-patt.py and synthesise-constellation.py is [[Chris Cain]]'s '''popseq''', which comes in two versions: the [https://www.conwaylife.com/forums/viewtopic.php?p=18823#p18823 original Python script] and the [https://conwaylife.com/forums/viewtopic.php?p=43319#p43319 much faster C version]. Here again the idea is to look for active patterns by recognizing their distinct population sequences. In other words, population is used as a simple hash function to recognize the pattern. For active patterns that stabilize too quickly, popseq shares the same limitations as the 'synthesise' search tools: it can return an unmanageably large number of false positive matches.<br /> <br /> popseq.c by default is set up to find active patterns in the search space of 4-glider collisions consisting of gliders coming from two perpendicular directions, the idea being that these collisions are most likely to produce useful results with good clearance. popseq.py was designed to operate on whatever set of gencols collision results you want it to search, so you might set up the script to use a database of 2-glider, 3-glider, or 4-glider collisions, or whatever custom collision set you might want to search. Setup details can be found in the above links.<br /> <br /> (rest of tutorial coming soon)<br /> <br /> ===assisted cleanup===<br /> Sometimes the reaction involved in a synthesis produces not only the target product but also some leftovers. For instance, a 20-bit still life appears in the following reaction:<br /> <br /> &lt;center&gt;{{LV:Viewer|39bo$38bo$38b3o8$31b2o$30bo2bo45bo$22b2o7b2o46bo$21bo2bo54bo$22b2o10bo<br /> $33b2o39b2o$33bobo38b2o3$77b2o$76bo2bo$76bo2bo$17b2o47bo2bob2o4b2o$16b<br /> o2bo46b5obo$17b2o3b2o$21bo2bo43bob5o$22b2o38b2o4b2obo2bo$61bo2bo$61bo<br /> 2bo$62b2o3$5bobo57b2o$6b2o57b2o$6bo10b2o$16bo2bo41bo$8b2o7b2o42bo$7bo<br /> 2bo50bo$8b2o8$3o$2bo$bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> To make a synthesis from it, you need to get rid of the surrounding objects with extra gliders. But where should they go? Well, there are a couple of handy programs that can help you out.<br /> <br /> =====glider-destruction.py=====<br /> ''For this part of the tutorial, you will need to use Python scripts with Golly.''<br /> <br /> An easy way to locate the cleanup gliders is to apply gameoflifeboy's &lt;tt&gt;glider-destruction.py&lt;/tt&gt; (see [https://www.conwaylife.com/forums/viewtopic.php?p=36381#p36381 here]). Given a pattern, the script attempts to find a clean 1-glider destruction for it; if there isn't one, it tells you the results with minimum bounding box and population. As usual, save the script in &lt;tt&gt;Scripts\Python&lt;/tt&gt; folder.<br /> <br /> Since the pattern is rotationally symmetric, considering one half is enough. Select the upper right constellation and copy it to a new pattern:<br /> <br /> &lt;center&gt;{{LV:Viewer|5bo$5bo$5bo2$2o$2o3$3b2o$2bo2bo$2bo2bo$3b2o![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Run the script and — presto! It gives a solution:<br /> <br /> &lt;center&gt;{{LV:Viewer|5bo$5bo$5bo2$2o$2o3$3b2o$2bo2bo$2bo2bo$3b2o$8b2o$8bobo$8bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> Pasting it back, we find that it is compatible with the target still life. So the cleanup is done successfully:<br /> <br /> &lt;center&gt;{{LV:Viewer|23bo$23bo$23bo2$18b2o$18b2o3$21b2o$20bo2bo$20bo2bo$10bo2bob2o4b2o$2bo<br /> 7b5obo9b2o$obo23bobo$b2o9bob5o7bo$6b2o4b2obo2bo$5bo2bo$5bo2bo$6b2o3$9b<br /> 2o$9b2o2$5bo$5bo$5bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> However, it should be noted that we are lucky in this case. The results from the script is not guaranteed to be actually usable, as either the glider or the cleaning reaction may crash into the target. Besides, the suggested method is not always the most efficient if there isn't a clean 1-glider destruction.<br /> <br /> =====Seeds of Destruction Game=====<br /> {{alsosee|Tutorials/Seeds of Destruction Game}}<br /> <br /> ''For this part of the tutorial, you will need to install Java.''<br /> <br /> [[Seeds of Destruction Game]] is an interactive application that allows one to modify a pattern ''by hovering the mouse around'' and see the effects ''immediately''. Basically the idea is simple — put a glider somewhere manually, observe and repeat — but what is italicized makes the trial-and-error process easier.<br /> <br /> A brief summary of the procedure, for those who don't bother to read another tutorial:<br /> <br /> # Copy the pattern to be cleaned to clipboard.<br /> # In Seeds of Destruction Game, click the third button from below when its label reads &quot;Puzzle&quot;. (If instead it reads &quot;Seed&quot;, use mouse wheel to change.) This loads the pattern to the application and creates a new &quot;Puzzle (something)&quot; entry on the right.<br /> # Ensure that the first button from above is labelled as &quot;Glider&quot; (if not, use mouse wheel again to change). Adjust the orientation and parity of the glider shown in the second button by rolling mouse wheel.<br /> # Click somewhere to lay down the glider and observe how the pattern evolves by rolling mouse wheel on the &quot;Start&quot; and &quot;Gens&quot; buttons. If the result is not satisfying, click the &quot;Puzzle (something)&quot; entry on the right to reset and start a new attempt.<br /> # Upon obtaining a good result, click the fifth button from above. This loads the current pattern to clipboard in [[LifeHistory]] RLE format (if the label shows &quot;Golly&quot;) or in plain two-state RLE format (&quot;Life&quot;).<br /> <br /> With Seeds of Destruction Game, it is even possible to suppress debris by throwing a glider into the active soup. In the following synthesis for a variant of [[gray counter]], the uppermost glider was found in this way, which tamed quite a lot of mess:<br /> <br /> &lt;center&gt;{{LV:Viewer|x = 114, y = 79, rule = B3/S23<br /> 60bobo$61b2o$61bo48$96bo$94bobo$95b2o$101bo$101bobo$101b2o$88bobo$89b<br /> 2o$89bo2$91bo$91bobo6bobo$91b2o7b2o$101bo5$27bobo$6bobo18b2o$6b2o20bo$<br /> bo5bo81b2o$2bo86bobo$3o25b2o60b2o$27b2o82b3o$29bo56b2o$3b2o80bo2bo$3bo<br /> bo80bobo$3bo83bo![[ THEME 6 GRID THUMBNAIL THUMBSIZE 2 ]]}}&lt;/center&gt;<br /> <br /> ==Submitting syntheses to Catagolue==<br /> <br /> Once you've completed a new record-breaking synthesis for a still life, oscillator, or spaceship, you can add it to the object's Catagolue page by pasting the [[RLE]] into the submission box at the bottom of the [https://catagolue.hatsya.com/syntheses &quot;Syntheses&quot; page]. There are some important things to note about how to format the pattern in order for it to be interpreted correctly:<br /> *The rule must be either B3/S23 or [[LifeHistory]] (in the latter case only states 0 and 1 are allowed).<br /> *The pattern must not exceed a [[bounding box]] of 9999&amp;times;9999, a [[population]] of 100,000, or a file size of 400 kilobytes.<br /> **Note that this restriction is in place to prevent the queue of user-submitted synthesis components from exceeding the object size limit of one megabyte. If you wish to submit more than about a megabyte of syntheses at a time, you're probably better off submitting [https://gitlab.com/parclytaxel/Shinjuku a merge request to Shinjuku] containing a &lt;tt&gt;.sjk&lt;/tt&gt; file of your syntheses so that it doesn't exceed the size limit.<br /> *[[xWSS]]es ''are'' allowed to substitute for gliders, and Shinjuku will automatically attempt to convert them into their respective three-glider collisions. However, because the conversions all happen at the same time, the resulting synthesis may not be valid due to gliders crossing paths, and the conversion must instead be done manually.&lt;ref name=&quot;post90908&quot; /&gt;<br /> *Each individual step, including the gliders/xWSSes, must be separated by at least 20 empty rows/columns.<br /> *It is recommended that every glider/xWSS should begin interacting before generation 1000 if possible, and each step should overall stabilize by generation 4000. If Catagolue does not parse your synthesis properly, there's unfortunately not much that can be done about it other than posting it somewhere else (e.g. the forums or Discord).<br /> *The initial pattern in each step must match the resulting pattern of the previous step (though rotations/reflections are allowed).<br /> *Although the synthesis RLEs on Mark Niemiec's website have the final object displayed next to the synthesis for each individual step, these are technically redundant and should be removed from the pattern when submitting to Catagolue.<br /> <br /> When you submit, your RLE is added to [https://catagolue.hatsya.com/readsynth a queue] to be processed by the automatic update process, which runs every 8 hours. If you're not sure whether your synthesis is on Catagolue yet, you can check the [https://gitlab.com/apgoucher/catagolue/-/jobs &quot;Jobs&quot; page on the Catagolue repository], particularly the jobs named &lt;tt&gt;shinjuku&lt;/tt&gt;, to see the console output for the update process. [https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm Djikstra's algorithm] is used to calculate the shortest path to the desired object using the known components, so you may find that earlier steps of your synthesis have been replaced by an already-known cheaper way of producing the same intermediate object.<br /> <br /> Also, if you're submitting a new or newly-improved component to Catagolue, don't worry about manually applying it to every single possible object in the database, because Shinjuku's &lt;tt&gt;transfer.py&lt;/tt&gt; does this automatically. The script has to be invoked manually, but as long as there's at least one synthesis featuring your component, the script will consider it when automatically creating new syntheses. Do note, however, that it will only attempt to synthesise objects that either already have a synthesis or are strict still lifes with 20 bits or less; in other cases you may want to consider submitting the synthesis yourself.{{refn|group=note|Other &lt;tt&gt;transfer.py&lt;/tt&gt; runs have targeted objects constructible through intermediate components&lt;ref&gt;{{cite web|url=https://gitlab.com/parclytaxel/Shinjuku/-/commit/19f65d1a2fabf5da15aa3d3649af3f2d3a96656c|title=level-2 and level-3 transfer searches|author=Adam P. Goucher|date=October 13, 2019|work=GitLab}}&lt;/ref&gt; and large objects which have appeared at least once in an [[apgsearch]] soup.&lt;ref&gt;{{cite web|url=https://gitlab.com/parclytaxel/Shinjuku/-/commit/7faa448fade873f5fd447d6a36bc885b753d4b63|title=Transfer run targeting all still lifes with at least one soup in an official symmetry but no synthesis|author=Alex Greason|date=June 9, 2020|work=GitLab}}&lt;/ref&gt;}}<br /> <br /> ==Notes==<br /> &lt;references group=note /&gt;<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post90908&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Shinjuku: a database of glider syntheses<br /> |p = 90908<br /> |author = Ian07<br /> |date = March 9, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> <br /> ===Forum threads===<br /> {{LinkForumThread|f=2|t=3267|title=Still Life Synthesis Thread}}<br /> {{LinkForumThread|f=2|t=1155|title=Synthesising Oscillators}}<br /> {{LinkForumThread|f=2|t=1557|title=Small Spaceship Syntheses}}<br /> {{LinkForumThread|f=2|t=3960|title=Soup-based syntheses}}<br /> {{LinkForumThread|f=2|t=4257|title=Randomly enumerating glider syntheses}}<br /> {{LinkForumThread|f=2|t=1394|title=4 glider syntheses}}<br /> {{LinkForumThread|f=2|t=4063|title=Synthesis components}}<br /> <br /> ===Code repositories===<br /> *[https://github.com/dvgrn/b3s23life/tree/master/synthesis-tools synthesis-tools] on Github<br /> *[https://github.com/dvgrn/glider-collisions glider-collisions] on Github<br /> <br /> {{Tutorial}}<br /> {{CatagolueNavbox}}<br /> {{GollyNavbox}}</div>

Praosylen https://conwaylife.com/w/index.php?title=Oscillator&diff=86197 2021-12-20T19:56:19Z

<p>Praosylen: </p> <hr /> <div>{{Glossary}}<br /> An '''oscillator''' is a [[pattern]] that is a [[predecessor]] of itself. That is, it is a pattern that repeats itself after a fixed number of [[generation]]s (known as its [[period]]). The term is usually restricted to finite patterns that are not [[still life]]s, though still lifes may be thought of as oscillators with period 1. An oscillator is divided into a [[rotor]] (the individual [[cell]]s that actually oscillate) and a [[stator]] (the cells which remain alive throughout its whole period).<br /> <br /> [[Cellular automaton]] theory recognizes shift periodicity, which refers to a configuration reappearing in shifted form after a lapse of one or more generations. Without the shift, it is an oscillator, but if it moves it would be called a [[spaceship]].<br /> <br /> ==Important oscillators by period==<br /> A list of the first-discovered oscillator of each period, as well the current smallest-known oscillator of that period, is provided here. Note that only non-trivial oscillators are considered here, in the sense that there must be at least one cell that oscillates at the full period. In some cases, it is not known for certain what the first-discovered oscillator of a given period is, and in such situations all possible candidates are listed. For any period 61 or greater an oscillator can be constructed using the Herschel track method. In April, {{year|2013}} [[Mike Playle]] found a small 90-degree [[stable reflector]] known as the [[Snark]] that allows oscillators of all periods 43 or greater to be constructed.<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot;<br /> |-<br /> ! Period<br /> ! First discovered<br /> ! Discoverer<br /> ! Year of discovery<br /> | rowspan=&quot;500&quot; style=&quot;border: none;&quot; |<br /> ! Smallest known<br /> ! Minimum # of cells<br /> |-<br /> ! {{period|2|brief}}<br /> | [[blinker]]<br /> |[[John Conway]]<br /> | {{year|1970}}<br /> | [[blinker]]<br /> | {{cells|3}}<br /> |-<br /> ! {{period|3|brief}}<br /> | [[pulsar]]<br /> |John Conway<br /> | 1970<br /> | [[caterer]]<br /> | {{cells|12}}<br /> |-<br /> ! {{period|4|brief}}<br /> | [[pinwheel]]<br /> |[[Simon Norton]]<br /> | 1970<br /> | [[mazing]], [[mold]]<br /> | {{cells|12}}<br /> |-<br /> ! {{period|5|brief}}<br /> | [[octagon 2]]<br /> |[[Sol Goodman]], [[Arthur Taber]]<br /> | {{year|1971}}<br /> | [[pseudo-barberpole]]<br /> | {{cells|15}}<br /> |-<br /> ! {{period|6|brief}}<br /> | [[$rats]]<br /> |[[David Buckingham]]<br /> | {{year|1972}}<br /> | [[unix]]<br /> | {{cells|16}}<br /> |-<br /> ! {{period|7|brief}}<br /> | [[burloaferimeter]]<br /> |David Buckingham<br /> | 1972<br /> | [[28P7.1]], [[28P7.2]], [[28P7.3]], [[burloaferimeter]]<br /> | {{cells|28}}<br /> |-<br /> ! {{period|8|brief}}<br /> | [[figure eight]]<br /> |Simon Norton<br /> | 1970<br /> | [[figure eight]]<br /> | {{cells|12}}<br /> |-<br /> ! {{period|9|brief}}<br /> | [[worker bee]]<br /> |David Buckingham<br /> | 1972<br /> | [[29P9]]<br /> | {{cells|29}}<br /> |-<br /> ! {{period|10|brief}}<br /> | [[42P10.3]]<br /> |David Buckingham<br /> | &amp;le;{{year|1976}}<br /> | [[24P10]]<br /> | {{cells|24}}<br /> |-<br /> ! {{period|11|brief}}<br /> | [[38P11.1]]<br /> |David Buckingham<br /> | {{year|1977}}<br /> | [[rattlesnake]]<br /> | {{cells|33}}<br /> |-<br /> ! {{period|12|brief}}<br /> | [[dinner table]]<br /> |[[Robert Wainwright]]<br /> | {{year|1972}}<br /> | [[dinner table]]<br /> | {{cells|33}}<br /> |-<br /> ! {{period|13|brief}}<br /> | [[Buckingham's p13]]<br /> |David Buckingham<br /> | 1976<br /> | [[Beluchenko's p13]]<br /> | {{cells|34}}<br /> |-<br /> ! {{period|14|brief}}<br /> | [[tumbler]]<br /> |[[George Collins]]<br /> | 1970<br /> | [[tumbler]]<br /> | {{cells|16}}<br /> |-<br /> ! {{period|15|brief}}<br /> | [[pentadecathlon]]<br /> |John Conway<br /> | 1970<br /> | [[pentadecathlon]]<br /> | {{cells|12}}<br /> |-<br /> ! {{period|16|brief}}<br /> | [[two pre-L hasslers]]<br /> |Robert Wainwright<br /> | {{year|1983}}<br /> | [[Rob's p16]]<br /> | {{cells|21}}<br /> |-<br /> ! {{period|17|brief}}<br /> | [[54P17.1]]<br /> |[[Dean Hickerson]]<br /> | {{year|1997}}<br /> | [[honey thieves]]<br /> | {{cells|36}}<br /> |-<br /> ! {{period|18|brief}}<br /> | [[117P18]]{{refn|group=note|name=lcm|An oscillator of this period can also be constructed from two [[sparker]]s both of which were known by an earlier date. However, [[LCM oscillator]]s are generally considered &quot;[[boring]]&quot;, and thus not listed here despite technically being [[non-trivial]].}}<br /> |David Buckingham<br /> | &amp;le;{{year|1991}}<br /> | [[p18 bi-block hassler]], [[p18 phase shifter]]<br /> | {{cells|43}}<br /> |-<br /> ! class=&quot;red_td&quot; | 19<br /> | colspan=&quot;6&quot; style=&quot;background-color:#ffeeee; color:#880000&quot; align=&quot;center&quot; | ''None found''<br /> |-<br /> ! {{period|20|brief}}<br /> | [[145P20]]{{refn|group=note|name=lcm}}<br /> |[[Noam Elkies]]<br /> | {{year|1995}}<br /> | [[mold on fumarole]]<br /> | {{cells|30}}<br /> |-<br /> ! {{period|21|brief}}<br /> | [[124P21]]{{refn|group=note|name=lcm}}<br /> |Robert Wainwright<br /> | 1995<br /> | [[caterer on 28P7.3]]<br /> | {{cells|40}}<br /> |-<br /> ! {{period|22|brief}}<br /> | [[168P22.1]]<br /> |Noam Elkies<br /> | 1997<br /> | [[Jason's p22]]<br /> | {{cells|36}}<br /> |-<br /> ! {{period|23|brief}}<br /> | [[David Hilbert]]<br /> |[[Luka Okanishi]], [[praosylen]]<br /> | {{year|2019}}<br /> | [[David Hilbert]]<br /> | {{cells|122}}<br /> |-<br /> ! {{period|24|brief}}<br /> | [[186P24]]{{refn|group=note|name=lcm}}<br /> |[[Bill Gosper]]<br /> | {{year|1994}}<br /> | [[caterer on figure eight]]<br /> | {{cells|24}}<br /> |-<br /> ! {{period|25|brief}}<br /> | [[134P25]]<br /> |Noam Elkies<br /> | 1994<br /> | [[p25 pre-pulsar shuttle]]<br /> | {{cells|83}}<br /> |-<br /> ! {{period|26|brief}}<br /> | [[p26 pre-pulsar shuttle]]<br /> |David Buckingham<br /> | 1983<br /> | [[87P26]]<br /> | {{cells|87}}<br /> |-<br /> ! {{period|27|brief}}<br /> | [[123P27.1]]<br /> |Noam Elkies<br /> | {{year|2002}}<br /> | [[56P27]]<br /> | {{cells|56}}<br /> |-<br /> ! {{period|28|brief}}<br /> | [[newshuttle]]<br /> |David Buckingham<br /> | {{year|1973}}<br /> | [[mold on 34P14 shuttle]]<br /> | {{cells|46}}<br /> |-<br /> ! {{period|29|brief}}<br /> | [[p29 pre-pulsar shuttle]]<br /> |David Buckingham<br /> | {{year|1980}}<br /> | [[p29 pre-pulsar shuttle]]<br /> | {{cells|54}}<br /> |-<br /> ! {{period|30|brief}}<br /> | [[queen bee shuttle]]<br /> |Bill Gosper<br /> | 1970<br /> | [[queen bee shuttle]]<br /> | {{cells|20}}<br /> |-<br /> ! {{period|31|brief}}<br /> | [[Merzenich's p31]]<br /> |[[Matthias Merzenich]]<br /> | {{year|2010}}<br /> | [[Merzenich's p31]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|32|brief}}<br /> | [[gourmet]]<br /> |David Buckingham<br /> | {{year|1978}}<br /> | [[p32 honey farm hassler]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|33|brief}}<br /> | [[258P3 on Achim's p11]]<br /> |Noam Elkies, [[Achim Flammenkamp]]<br /> | 1997<br /> | [[caterer on rattlesnake]]<br /> | {{cells|46}}<br /> |-<br /> ! {{period|34|brief}}<br /> | colspan=&quot;6&quot; style=&quot;background-color:#ffeeee; color:#880000&quot; align=&quot;center&quot; | ''No non-trivial examples found''<br /> |-<br /> ! {{period|35|brief}}<br /> | [[p35 beehive hassler]]{{refn|group=note|name=lcm}}<br /> |Dean Hickerson<br /> | 1995<br /> | [[p35 honey farm hassler]]<br /> | {{cells|44}}<br /> |-<br /> ! {{period|36|brief}}<br /> | [[p36 toad hassler]]{{refn|group=note|name=lcm}}<br /> |Robert Wainwright<br /> | 1984<br /> | [[22P36]]<br /> | {{cells|22}}<br /> |-<br /> ! {{period|37|brief}}<br /> | [[Beluchenko's p37]]<br /> |[[Nicolay Beluchenko]]<br /> | {{year|2009}}<br /> | [[Beluchenko's p37]]<br /> | {{cells|124}}<br /> |-<br /> ! class=&quot;red_td&quot; | 38<br /> | colspan=&quot;6&quot; style=&quot;background-color:#ffeeee; color:#880000&quot; align=&quot;center&quot; | ''None found''<br /> |-<br /> ! {{period|39|brief}}<br /> | [[134P39.1]]<br /> |David Buckingham, Noam Elkies<br /> | {{year|2000}}<br /> | [[caterer on Beluchenko's p13]]<br /> |{{cells|46}}<br /> |-<br /> ! {{period|40|brief}}<br /> | [[p40 B-heptomino shuttle]]{{refn|group=note|name=lcm}}<br /> |David Buckingham<br /> | 1991<br /> | [[Beluchenko's p40]]<br /> | {{cells|26}}<br /> |-<br /> ! class=&quot;red_td&quot; | 41<br /> | colspan=&quot;6&quot; style=&quot;background-color:#ffeeee; color:#880000&quot; align=&quot;center&quot; | ''None found''<br /> |-<br /> ! {{period|42|brief}}<br /> | [[p42 glider shuttle]]{{refn|group=note|name=lcm}}<br /> |Noam Elkies<br /> | 1994<br /> | [[unix on 34P14 shuttle]]<br /> | {{cells|50}}<br /> |-<br /> ! {{period|43|brief}}<br /> | [[p43 Snark loop]]<br /> |[[Mike Playle]]<br /> | {{year|2013}}<br /> | [[p43 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|44|brief}}<br /> | [[p44 pi-heptomino hassler]]<br /> |David Buckingham<br /> | 1992<br /> | [[mold on rattlesnake]]<br /> | {{cells|45}}<br /> |-<br /> ! {{period|45|brief}}<br /> | [[pentadecathlon on snacker]]<br /> | [[Mark Niemiec]], John Conway<br /> | &amp;le;1995<br /> | [[pentadecathlon on thumb 1]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|46|brief}}<br /> | [[twin bees shuttle]]<br /> |Bill Gosper<br /> | 1971<br /> | [[twin bees shuttle]]<br /> | {{cells|28}}<br /> |-<br /> ! {{period|47|brief}}<br /> | [[p47 pre-pulsar shuttle]]<br /> |David Buckingham<br /> | {{year|1982}}<br /> | [[p47 pre-pulsar shuttle]]<br /> | {{cells|84}}<br /> |-<br /> ! {{period|48|brief}}<br /> | [[p48 toad hassler]]<br /> |Bill Gosper<br /> | 1994<br /> | [[unix on Rich's p16]]<br /> | {{cells|52}}<br /> |-<br /> ! {{period|49|brief}}<br /> | [[p49 glider shuttle]]<br /> |Noam Elkies<br /> | {{year|1999}}<br /> | [[p49 bumper loop]]<br /> | {{cells|206}}<br /> |-<br /> ! {{period|50|brief}}<br /> | [[p50 glider shuttle]]<br /> |Dean Hickerson<br /> | 1992<br /> | [[p50 traffic jam]]<br /> | {{cells|92}}<br /> |-<br /> ! {{period|51|brief}}<br /> | [[Beluchenko's p51]]<br /> |Nicolay Beluchenko<br /> | 2009<br /> | [[90P51]]<br /> | {{cells|90}}<br /> |-<br /> ! {{period|52|brief}}<br /> | [[Four eaters hassling lumps of muck]]<br /> |David Buckingham<br /> | 1977<br /> | [[four eaters hassling lumps of muck]]<br /> | {{cells|35}}<br /> |-<br /> ! {{period|53|brief}}<br /> | [[p53 Snark loop]]<br /> |Mike Playle<br /> | {{year|2013}}<br /> | [[p53 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|54|brief}}<br /> | [[p54 shuttle]]<br /> |David Buckingham<br /> | {{year|1973}}<br /> | [[p54 shuttle]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|55|brief}}<br /> | [[p55 pre-pulsar hassler]]<br /> |David Buckingham<br /> | {{year|1986}}<br /> | [[pseudo-barberpole on rattlesnake]]<br /> | {{cells|49}}<br /> |-<br /> ! {{period|56|brief}}<br /> | [[p56 B-heptomino shuttle]]{{refn|group=note|name=lcm}}<br /> |David Buckingham<br /> | &amp;le;1991<br /> | [[p56 B-heptomino shuttle]]<br /> | {{cells|45}}<br /> |-<br /> ! {{period|57|brief}}<br /> | [[p57 Herschel loop 1]]<br /> |[[Dietrich Leithner]]<br /> | 1997<br /> | [[p57 bumper loop]]<br /> |{{cells|152}}<br /> |-<br /> ! {{period|58|brief}}<br /> | [[p58 toadsucker]]<br /> |Bill Gosper<br /> | 1994<br /> | [[p58 pre-pulsar shuttle]]<br /> | {{cells|104}}<br /> |-<br /> ! {{period|59|brief}}<br /> | [[p59 Herschel loop 1]]<br /> |David Buckingham<br /> | 1997<br /> | [[Adjustable glider loop|p59 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|60|brief}}<br /> | [[p60 glider shuttle]]<br /> |David Buckingham<br /> | &amp;le; 1971<br /> | [[mold on pentadecathlon]]<br /> | {{cells|24}}<br /> |-<br /> ! {{period|61|brief}}<br /> | [[p61 Herschel loop 1]]<br /> |David Buckingham<br /> | {{year|1996}}<br /> | [[Adjustable glider loop|p61 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|62|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[66P62]]<br /> | {{cells|66}}<br /> |-<br /> ! {{period|63|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[snacker on 38P7.2]]<br /> | {{cells|78}}<br /> |-<br /> ! {{period|64|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Merzenich's p64]]<br /> | {{cells|34}}<br /> |-<br /> ! {{period|65|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[fumarole on Beluchenko's p13]]<br /> | {{cells|52}}<br /> |-<br /> ! {{period|66|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[caterer on 36P22]]<br /> | {{cells|48}}<br /> |-<br /> ! {{period|67|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p67 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|68|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[72P68]]<br /> |{{cells|72}}<br /> |-<br /> ! {{period|69|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p57 bumper loop|p69 bumper loop]]<br /> |{{cells|152}}<br /> |-<br /> ! {{period|70|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[fumarole on 34P14 shuttle]]<br /> | {{cells|52}}<br /> |-<br /> ! {{period|71|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p71 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|72|brief}}<br /> | [[two blockers hassling R-pentomino]]<br /> |Robert Wainwright<br /> | 1990<br /> | [[figure eight on 22P36]]<br /> | {{cells|36}}<br /> |-<br /> ! {{period|73|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p73 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|74|brief}}<br /> | p74 Herschel loop<br /> |David Buckingham<br /> | 1996<br /> | [[Raucci's p74]]<br /> | {{cells|84}}<br /> |-<br /> ! {{period|75|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[6 bits]]<br /> |{{cells|49}}<br /> |-<br /> ! {{period|76|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p76 pi-heptomino hassler]] {{LinkCatagolue|xp76_32aczwsy1sy7sb4zy0222zyackgossssogkczy83552y42553|patternname=variant|style=raw}}<br /> | {{cells|57}}<br /> |-<br /> ! {{period|77|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[77P77]]<br /> |{{cells|77}}<br /> |-<br /> ! {{period|78|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p6 thumb on Beluchenko's p13]]<br /> |{{cells|61}}<br /> |-<br /> ! {{period|79|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p79 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|80|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[fumarole on Rob's p16]]<br /> | {{cells|39}}<br /> |-<br /> ! {{period|81|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p57 bumper loop|p81 bumper loop]]<br /> |{{cells|152}}<br /> |-<br /> ! {{period|82|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p82 Snark loop]]<br /> |{{cells|208}}<br /> |-<br /> ! {{period|83|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p83 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|84|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[52P84]]<br /> | {{cells|52}}<br /> |-<br /> ! {{period|85|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[74P85]]<br /> |{{cells|74}}<br /> |-<br /> ! {{period|86|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p86 Snark loop]]<br /> |{{cells|208}}<br /> |-<br /> ! {{period|87|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[84P87]]<br /> | {{cells|84}}<br /> |-<br /> ! {{period|88|brief}}<br /> | p88 glider loop<br /> |David Buckingham<br /> | 1992<br /> | [[figure eight on rattlesnake]]<br /> | {{cells|45}}<br /> |-<br /> ! {{period|89|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p89 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|90|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[thumb 1 on queen bee shuttle]]<br /> | {{cells|56}}<br /> |-<br /> ! {{period|91|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[44P7 on Beluchenko's p13]]<br /> |{{cells|78}}<br /> |-<br /> ! {{period|92|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[50P92.1]], [[twin bees shuttle on 22P4.3]]<br /> | {{cells|50}}<br /> |-<br /> ! {{period|93|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[caterer on Merzenich's p31]]<br /> |{{cells|60}}<br /> |-<br /> ! {{period|94|brief}}<br /> | capped [[AK-47 reaction|AK-47]] gun<br /> |Dean Hickerson<br /> | 1990<br /> | {{LinkCatagolue|xp94_x696o8b9czy065x33xc871xggzooyd643zwgg04ahhha4y5c871z4701yfoozw8e13xggzy34701xmmggo5jzya146w343|patternname=capped|style=raw}} [[AK-94]]<br /> | {{cells|110}}<br /> |-<br /> ! {{period|95|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p95 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|96|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p96 honey farm hassler]]<br /> | {{cells|63}}<br /> |-<br /> ! {{period|97|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p97 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|98|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Gallus]]<br /> | {{cells|105}}<br /> |-<br /> ! {{period|99|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[48P9 on rattlesnake]]<br /> |{{cells|82}}<br /> |-<br /> ! {{period|100|brief}}<br /> | [[centinal]]<br /> |Bill Gosper<br /> | &amp;le;{{year|1987}}<br /> | [[centinal]]<br /> | {{cells|70}}<br /> |-<br /> ! {{period|101|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p101 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|102|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp102_w660259gcy5ca23z8oy166y06msz0123wggyqcczy11243ykccwsq66zoomewccykg8gz0ccyp12210ggzyleqoy0oox1074zyeggkcy5c248g0oozye1ya11|patternname=p102 bumper loop|style=raw}}<br /> | {{cells|122}}<br /> |-<br /> ! {{period|103|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Adjustable glider loop|p103 Snark loop]]<br /> |{{cells|228}}<br /> |-<br /> ! {{period|104|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[figure eight on Beluchenko's p13]]<br /> | {{cells|46}}<br /> |-<br /> ! {{period|105|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[pentadecathlon on 37P7.1]]<br /> |{{cells|49}}<br /> |-<br /> ! {{period|106|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[rectifier|p106 rectifier loop]]<br /> |{{cells|169}}<br /> |-<br /> ! {{period|107|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[rectifier|p107 rectifier loop]]<br /> |{{cells|136}}<br /> |-<br /> ! {{period|108|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[22P4.3 on 56P27]]<br /> |{{cells|78}}<br /> |-<br /> ! {{period|109|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[rectifier|p109 rectifier loop]]<br /> |{{cells|156}}<br /> |-<br /> ! {{period|110|brief}}<br /> | [[p110 traffic jam]]<br /> |Bill Gosper<br /> | 1994<br /> | [[pseudo-barberpole on Jason's p22]]<br /> |{{cells|51}}<br /> |-<br /> ! {{period|111|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[rectifier|p111 rectifier loop]]<br /> |{{cells|136}}<br /> |-<br /> ! {{period|112|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[tumbler on Rich's p16]]<br /> |{{cells|50}}<br /> |-<br /> ! {{period|113|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[nihonium]]<br /> | {{cells|106}}<br /> |-<br /> ! {{period|114|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Ocellus]]<br /> |{{cells|92}}<br /> |-<br /> ! {{period|115|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[rectifier|p115 rectifier loop]]<br /> |{{cells|136}}<br /> |-<br /> ! {{period|116|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp116_y4o8bp688gz0gy6330pq2cggz121x225y49f023z8k8x44ay296zy8mmg6p2s82u08ozy81qaic3c4521|patternname=102P116|style=raw}}<br /> |{{cells|102}}<br /> |-<br /> ! {{period|117|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp117_y1o44mhar0rahm44ozwg8p7870167876107871zq6hcbagy1szg9gf99gfy26a8oz56o3t5zx1|patternname=117P117|style=raw}}<br /> | {{cells|117}}<br /> |-<br /> ! {{period|118|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[rectifier|p118 rectifier loop]]<br /> |{{cells|154}}<br /> |-<br /> ! {{period|119|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[rectifier|p119 rectifier loop]]<br /> |{{cells|136}}<br /> |-<br /> ! {{period|120|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[figure eight on pentadecathlon]]<br /> | {{cells|24}}<br /> |-<br /> ! {{period|121|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|122|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|123|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|124|brief}}<br /> | [[p124 lumps of muck hassler]]<br /> |Dean Hickerson<br /> | 1994<br /> | [[mold on Merzenich's p31]]<br /> | {{cells|60}}<br /> |-<br /> ! {{period|125|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|126|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[snacker on 34P14 shuttle]]<br /> | {{cells|74}}<br /> |-<br /> ! {{period|127|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|128|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp128_y3ca73oswcczyqg88gzy1ggyh6bbcxca4z8ko010onmcy04eewuscy26dt30g0352z4a6x6qqcyh11zy01221zyh66w73osa6|patternname=p128 wing hassler|style=raw}}<br /> |{{cells|108}}<br /> |-<br /> ! {{period|129|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p57 bumper loop|p129 bumper loop]]<br /> |{{cells|152}}<br /> |-<br /> ! {{period|130|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[55P10 on Beluchenko's p13]]<br /> | {{cells|89}}<br /> |-<br /> ! {{period|131|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|132|brief}}<br /> | p132 glider loop<br /> |David Buckingham<br /> | 1992<br /> | [[mold on Jason's p33]]<br /> | {{cells|72}}<br /> |-<br /> ! {{period|133|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|134|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|135|brief}}<br /> | [[106P135]]<br /> |Bill Gosper<br /> | {{year|1989}}<br /> | [[pentadecathlon on 56P27]]<br /> |{{cells|68}}<br /> |-<br /> ! {{period|136|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|137|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|138|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Gabriel's p138]]<br /> | {{cells|36}}<br /> |-<br /> ! {{period|139|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|140|brief}}<br /> | p140 traffic jam<br /> |Bill Gosper<br /> | 1994<br /> | [[34P14 shuttle on dockyard]]<br /> | {{cells|82}}<br /> |-<br /> ! {{period|141|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p47 pre-pulsar shuttle phase-shifting 28P7.1]]<br /> | {{cells|114}}<br /> |-<br /> ! {{period|142|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|143|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> | ?<br /> |-<br /> ! {{period|144|brief}}<br /> | capped p144 [[gunstar]]<br /> |David Buckingham<br /> | 1990<br /> | [[Achim's p144]]<br /> | {{cells|42}}<br /> |-<br /> ! {{period|150|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[buckaroo|p150 buckaroo shuttle]]<br /> | {{cells|51}}<br /> |-<br /> ! {{period|152|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[figure eight on p76 pi-heptomino hassler]]<br /> | {{cells|94}}<br /> |-<br /> ! {{period|156|brief}}<br /> | p156 [[traffic jam]] oscillator<br /> |Bill Gosper<br /> | 1994<br /> | [[Jason's p156]]<br /> | {{cells|92}}<br /> |-<br /> ! {{period|165|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[rattlesnake on pentadecathlon]]<br /> | {{cells|45}}<br /> |-<br /> ! {{period|168|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[figure eight on p21 honey farm hassler]]<br /> | {{cells|72}}<br /> |-<br /> ! {{period|177|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Karel's p177]]<br /> | {{cells|104}}<br /> |-<br /> ! {{period|184|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[figure eight on twin bees shuttle]]<br /> | {{cells|40}}<br /> |-<br /> ! {{period|186|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[unix on Merzenich's p31]]<br /> | {{cells|64}}<br /> |-<br /> ! {{period|188|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[AK-94]] {{LinkCatagolue|xp188_x696o8b9czy065x33xc871wbdzoozwgg04ahhha4y5c871z4701yfoozxggy0ggzx56w4701xmmggo5jzya146w343|patternname=with boat-bits|style=raw}}<br /> | {{cells|108}}<br /> |-<br /> ! {{period|196|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[p196 pi-heptomino hassler]]<br /> | {{cells|66}}<br /> |-<br /> ! {{period|200|brief}}<br /> | p200 glider loop<br /> |Bill Gosper<br /> | &amp;le;{{year|1987}}<br /> | [[figure eight on centinal]]<br /> |{{cells|82}}<br /> |-<br /> ! {{period|226|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[nihonium*]]<br /> | {{cells|107}}<br /> |-<br /> ! {{period|230|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[fumarole on twin bees shuttle]]<br /> |{{cells|46}}<br /> |-<br /> ! {{period|232|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[figure eight on p29 pre-pulsar shuttle]]<br /> |{{cells|66}}<br /> |-<br /> ! {{period|240|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[pentadecathlon on Rob's p16]]<br /> | {{cells|33}}<br /> |-<br /> ! {{period|246|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[period-246 glider gun]] {{LinkCatagolue|xp246_ya32acydg8k8ooozyu1utzzzybcirrd6y4cc4zy1ggy61zggwg9g89z14w61ye354c|patternname=relative|style=raw}}<br /> | {{cells|68}}<br /> |-<br /> ! {{period|256|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp256_yr33y166z0ggy033y4178cyb33y0ccz011w66z66yyg88czy4699voyn11zy38ox61zy1311yz66zyzx66woozy133y0ccyb31e8y4cczy566y1cc|patternname=capped|style=raw}} [[period-256 glider gun]]<br /> | {{cells|104}}<br /> |-<br /> ! {{period|276|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[caterer on 50P92.1]]<br /> | {{cells|62}}<br /> |-<br /> ! {{period|300|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[pentadecathlon on centinal]]<br /> | {{cells|88}}<br /> |-<br /> ! {{period|312|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[60P312]]<br /> | {{cells|60}}<br /> |-<br /> ! {{period|320|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[fumarole on Merzenich's p64]]<br /> | {{cells|52}}<br /> |-<br /> ! {{period|360|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[thumb 1 on Beluchenko's p40]]<br /> | {{cells|62}}<br /> |-<br /> ! {{period|368|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[period-184 glider gun]] {{LinkCatagolue|xp368_y0gy632aczy01156zzggyp62sgz56yc65134w16zync4ozy8o8goy911|patternname=with boat-bits|style=raw}}<br /> | {{cells|50}}<br /> |-<br /> ! {{period|460|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[pseudo-barberpole on 50P92.1]]<br /> | {{cells|65}}<br /> |-<br /> ! {{period|492|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[period-246 glider gun]] {{LinkCatagolue|xp492_y0o4qa344ozx118f0dc3z8oyago0ab2sycc871z0123y9126e431zy8ooz0mqzyt66w7bcczyy66|patternname=with boat-bit|style=raw}}<br /> | {{cells|87}}<br /> |-<br /> ! {{period|496|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[Rob's p16 on Merzenich's p31]]<br /> | {{cells|69}}<br /> |-<br /> ! {{period|504|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp504_03bg2kgy1mm66660uuzy111y1vv0oooorrzwggx2c6z4701zzzzzzzzzzzyzygg88gxooy1uu06666mmzyzygcc07xccy1rroooo0vvzyzyh66|patternname=p504 glider shuttle|style=raw}}<br /> | {{cells|109}}<br /> |-<br /> ! {{period|512|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | [[period-256 glider gun]] {{LinkCatagolue|xp512_yr33y166z0ggy033y16426ye33y0ccz011w66yuggz66yz56zzzy2mqyz66zygckgk2a21ya66woozy133y0ccye6426y1cczy566y1cc|patternname=with boat-bits|style=raw}}<br /> | {{cells|100}}<br /> |-<br /> ! {{period|856|brief}}<br /> | [[period-856 glider gun]]<br /> | [[David Buckingham]]<br /> | 1991<br /> | {{LinkCatagolue|xp856_03bg2kgy1mm66660uuzy111y1vv0oooorrzwggx2c6z4701zzzzzzzzzzzzzzzzzzzzyzyzyl844oxccy1vv03333rrzyzyzyl6603x66y1ddcccc0ffzyzyzym33|patternname=p856 glider shuttle|style=raw}}<br /> |{{cells|109}}<br /> |-<br /> ! {{period|1008|brief}}<br /> | ?<br /> | ?<br /> | ?<br /> | {{LinkCatagolue|xp1008_y48oyc356zy432yi696y9o8gozyjc871zzy12552yg2bq4y4o8zca6y3oggyp113y3ca6zy823ys8kk8zzyogs26zx3123y9cicyi8ozymckoyc32|patternname=R126 loop with boat-bits|style=raw}}<br /> | {{cells|107}}<br /> |}<br /> <br /> ==Notes==<br /> &lt;references group=note /&gt;<br /> <br /> ==See also==<br /> *[[List of common oscillators]]<br /> *[[:Category:Oscillators|List of oscillators]]<br /> *[[Omniperiodic]]<br /> *[[Table of oscillators by period]]<br /> *[[LifeWiki:Game_of_Life_Status_page#Oscillator_periods|Oscillator periods status table]]<br /> <br /> ==External links==<br /> {{LinkWikipedia|Oscillator_(cellular_automaton)}}<br /> {{LinkLexicon|lex_o.htm#oscillator}}<br /> <br /> ===Forum threads===<br /> {{LinkForumThread|f=2|t=1437|title=Oscillator Discussion Thread}}<br /> {{LinkForumThread|f=2|t=5338|title=Smallest Known Oscillators to p106 (and Beyond)}}<br /> {{LinkForumThread|f=7|t=5351|title=First Known Oscillators for Each Period}}<br /> <br /> __NOTOC__</div>

Praosylen https://conwaylife.com/w/index.php?title=Pattern_of_the_Year&diff=86196 2021-12-20T19:55:38Z

<p>Praosylen: this article is so long the editor lags</p> <hr /> <div>The '''Pattern of the Year''' ('''POTY''') competition is held each year on the ConwayLife.com forums. Users are invited to submit interesting and noteworthy patterns, their own or others'; following discussion, a final list is then curated, and a public vote held. There are only two hard and fast rules: patterns must have been discovered in the year in question; and patterns must work in B3/S23 ([[Conway's Game of Life]]).<br /> <br /> ==Summary==<br /> <br /> {| class=&quot;wikitable&quot;<br /> |-<br /> ! Year<br /> ! First place<br /> ! Second place<br /> ! Third place<br /> |-<br /> | 2020 || [[Bandersnatch]]&lt;br&gt;[[Speed Demonoid]]† || || Spaceship glider syntheses<br /> |-<br /> | 2019 || [[David Hilbert]] || [[Spider]] synthesis || [[Scholar]]<br /> |-<br /> | 2018 || [[Sir Robin]] || [[0E0P metacell]] || [[Reverse caber-tosser]]<br /> |-<br /> | 2017 || [[2-engine Cordership]] || [[Tanner's p46]] || [[Stable pulse-divider]]s<br /> |-<br /> | 2016 || [[Caterloopillar]]s || [[Copperhead]] || [[Grandfather problem|Grandfather-less Pattern]]<br /> |-<br /> | 2015 || [[Syringe]] || [[Simkin glider gun]] || [[Demonoid]]s<br /> |-<br /> | 2014 || [[Waterbear]] || [[Centipede]] || [[Half-baked knightship]]<br /> |-<br /> | 2013 || [[Snark]] || [[Loafer]] || [[CC semi-Snark]]&lt;br&gt;[[Linear propagator]]†<br /> |-<br /> | 2011 || [[Fully universal Turing machine]]&lt;br&gt;[[Lobster (spaceship)|Lobster]]† || || [[Garden of Eden 6]]<br /> |-<br /> | 2010 || [[Gemini]] || [[Phi calculator]] || [[c/5 diagonal rake]]<br /> |-<br /> | 2004 || [[Caterpillar]]‡ || ||<br /> |-<br /> |}<br /> <br /> ‡ Result of informal consensus rather than formal competition;<br /> <br /> † Patterns were tied on number of votes.<br /> <br /> ==Results by year==<br /> <br /> ===2020===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=117558#p117558 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=123463#p123463 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=126089#p126089 Results]<br /> <br /> The following patterns were voted on for the 2020 competition. Users were able to vote on as many patterns as they wished, awarding up to three stars to each one. [[MathAndCode]] organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 76 || [[Bandersnatch]] || [[Martin Grant]] and [[Entity Valkyrie]] ||<br /> [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1657&amp;p=98357#p98357]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[color-changing]] glider-to-glider conduit, which can be used to solve glider color mismatches.<br /> |-<br /> | 1 || 76 || [[Speed Demonoid]] || [[Pavel Grankovskiy]], [[Dave Greene]], [[Tanner Jacobi]], and [[Goldtiger997]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A self-constructing diagonal spaceship with speed limit c/4 due to using a crab [[wickstretcher]].<br /> |-<br /> | 3 || 69 || Spaceship [[glider syntheses]] || [[Goldtiger997]], [[Tanner Jacobi]], [[Martin Grant]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=92323]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Glider syntheses for [[56P6H1V0]], [[58P5H1V1]], [[turtle]], [[31P8H4V0]], [[44P5H2V0]], [[70P2H1V0.1]], [[55P9H3V0]], and [[44P5H2V0]], many of which were the first of their unsymplified speed to be synthesized.<br /> |-<br /> | 4 || 68 || Smaller [[3c/7]] spaceships || [[Dylan Chen]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [[Anura]] and [[Soba]], the second and third known elementary 3c/7 spaceships, both of which are smaller than the first known 3c/7 spaceship, [[spaghetti monster]].<br /> |-<br /> | 4 || 68 || [[Rob's p16]] || [[Rob Liston]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A useful sparker, as well as the smallest-known and first [[strictly volatile]] oscillator of its period, found when it occurred in the ash of an asymmetric Catagolue soup.<br /> |-<br /> | 6 || 65 || [[Period-28 glider gun]] || [[Matthias Merzenich]] and [[Paul Callahan]] || <br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first true period-28 gun.<br /> |-<br /> | 7 || 64 || [[Silverfish]] || [[Chris Cain]], [[Dave Greene]], [[Adam P. Goucher]], and [[Nathaniel Johnston]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A new smallest spaceship to use the 31c/240 Herschel climber.<br /> |-<br /> | 8 || 61 || Cheaper fixed-cost [[universal construction]] || [[Chris Cain]], [[Adam P. Goucher]], and [[MathAndCode]] || [https://www.conwaylife.com/forums/viewtopic.php?p=94346]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Reductions in the cost of [[reverse caber-tosser]]-based universal construction by figuring out how to split a target block with gliders instead of needing to use a block-laying switch engine, removing the need for a Sakapuffer, and reducing the number of glider-producing switch enginges required in the circuitry.<br /> |-<br /> | 9 || 58 || 19-bit still life syntheses || [[Jeremy Tan]], [[Dave Greene]], [[Tanner Jacobi]], [[Goldtiger997]], [[Martin Grant]], [[Alex Greason]], [[BlinkerSpawn]], et al. || <br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Glider syntheses for all 19-bit still lifes.<br /> |-<br /> | 10 || 56 || New [[2c/7]] technology || [[John Winston Garth]], [[Andrew J. Wade]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Two new 2c/7 spaceships, [[186P7H2V0]] and [[doo-dah]] used to help make puffers and rakes.<br /> |-<br /> | 10 || 56 || Natural [[loafer]]s || [[John Goodman]], [[Rob Liston]], [[Adam P. Goucher]] || [https://www.conwaylife.com/forums/viewtopic.php?p=93011]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Catagolue soups in the C1 and G1 symmetries that produce the twenty-cell loafer, making it the first spaceship not at the maximum speed for its direction to be found in a random asymmetric soup in B3/S23.<br /> |-<br /> | 12 || 55 || Stable [[barge]] crosser || [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=112239]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A way to transmit a glider signal across an infinitely long barge without permanently damaging it.<br /> |-<br /> | 13 || 50 || New [[grayship]] technology || [[Keith Amling]], [[Hartmut Holzwart]], and [[Matthias Merzenich]] || [https://conwaylife.com/forums/viewtopic.php?p=117591#p117591]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A large collection of new grayship components of varying speeds.<br /> |-<br /> | 14 || 46 || [[Beehive]] push [[catalyst]] || [[Tanner Jacobi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=116491]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[stable]] catalyst that allows the beehive push reaction, where a beehive affects an active region while being displaced by one cell orthogonally, to be used repeatedly in situations where there is not another synchronized mechanism to push it back, such as in conduits.<br /> |-<br /> | 15 || 45 || [[49768M|New longest-lasting 16x16 methuselah]] || [[Rob Liston]] and [[Goldtiger997]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An asymmetric 16x16 soup found with Catagolue that takes longer to stabilize than any previous asymmetric non-infinite-growth 16x16 soup, and a related 16x16 pattern that takes one generation longer to form generation five of said random soup.<br /> |-<br /> | 16 || 44 || New [[c/5 diagonal]] spaceships || [[AforAmpere]], [[Sarp]], [[praosylen]], [[John Winston Garth]], and [[Dylan Chen]] || [https://www.conwaylife.com/forums/viewtopic.php?p=117609]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Several new c/5 diagonal spaceships of varying shapes.<br /> |-<br /> | 17 || 43 || Small [[c/5 diagonal]] puffer || [[Peter Naszvadi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=92484]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An elegant period-1540 c/5 diagonal puffer that uses only three copies of [[58P5H1V1]].<br /> |-<br /> | 18 || 42 || New small [[Cordership]]s || [[wwei23]] and [[Ian07]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Several new three-engine and four-engine Corderships found using a custom apgsearch symmetry.<br /> |-<br /> | 19 || 41 || New [[agar]] crawler/agar bubble/[[skimmer]]/agar clearer technology || [[Arie Paap]], [[Keith Amling]], [[Hartmut Holzwart]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=104295]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Mechanisms to add, remove, travel along, or travel within agar.<br /> |-<br /> | 19 || 41 || [[c/5]] and [[c/6]] guns || [[Entity Valkyrie]], [[Goldtiger997]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=881186]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first known guns for c/5 orthogonal, c/5 diagonal, and c/6 orthogonal spaceships.<br /> |-<br /> | 21 || 39 || New exotic spaceship eaters and spaceship-to-G converters || [[Jeremy Tan]], [[Luka Okanishi]], [[Dave Greene]], [[Adam P. Goucher]], [[Tanner Jacobi]], [[praosylen]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=110403]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | New mechanisms to eat spaceships or turn them into glider signals<br /> |-<br /> | 21 || 39 || Glider syntheses from Glider_stdin || [[testitemqlstudop]], [[Tanner Jacobi]], [[Arie Paap]], [[GUYTU6J]], [[goldenratio]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?t=4257]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Glider syntheses based on a result from a custom Catagolue symmetry where gliders are fired at each other in a random configuration. <br /> |-<br /> | 21 || 39 || [[104P9|Period-9 heavyweight sparker and associated R shuttle]] || [[wwei23]], [[praosylen]], and [[David Raucci]]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Period-nine domino sparker that has two dot sparks displaced (2.5, 1) from the center of the domino spark, making it a heavyweight emulator, and has better clearance than the previous known period-nine domino sparker, allowing it and an eater 2 to form a periodic RFx9R conduit that can be attached to another copy of itself to form a shuttle <br /> |-<br /> | 24 || 38 || Stable [[L122]] || [[praosylen]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A stable version of the L122 conduit, which previously only had periodic versions.<br /> |-<br /> | 25 || 35 || New [[c/10 orthogonal]] technology || [[Christoph Reinthaler]] || [https://www.conwaylife.com/forums/viewtopic.php?p=86970]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Arrangements of copperheads and fireships that perform various tasks, such as firing a stream of loafers backwards.<br /> |-<br /> | 26 || 34 || New XWSS signal technology || [[Dave Greene]], [[Adam P. Goucher]], and [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=99834]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Improved mechanisms for detecting XWSS signals.<br /> |-<br /> | 26 || 34 || Cordercolumn and extruder || [[wwei23]], [[Luka Okanishi]], and [[Ian07]] || [https://www.conwaylife.com/forums/viewtopic.php?p=104435]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Two ways to stabilize a switch engine with another switch engine behind it and an extruder that emits a line of switch engines using one of the methods.<br /> |-<br /> | 26 || 34 || New [[c/6 diagonal]] pushalong || [[praosylen]] || [https://www.conwaylife.com/forums/viewtopic.php?p=95237]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first new piece of low-period c/6 diagonal technology in 9 years.<br /> |-<br /> | 26 || 34 || Better [[universal regulator]] || [[Louis-François Handfield]] || [https://www.conwaylife.com/forums/viewtopic.php?p=93912]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A device that can align a set of input glider signals with no period constraints to any output period greater than 73 that is smaller and faster than any previous universal regulator.<br /> |-<br /> | 26 || 34 || c/61 near-spaceship and [[slide gun]] support || [[Tanner Jacobi]] and [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=116260]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A reaction consisting of a pulsar interacting with two blocks that results in the same confirmation 61 generations later shifted by one cell orthogonally if supplied with two dot sparks or certain fishhook-type interactions, which can be provided with gliders from slide guns.<br /> |-<br /> | 31 || 33 || Record-setting [[diehard]]s || [[Rob Liston]], [[goldenratio]], and [[Moth Wingthane]] || [https://www.conwaylife.com/forums/viewtopic.php?p=90882]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Patterns found from soup searches searches that take longer to settle without leaving any ash than any previously known patterns fitting in a bounding box of the same size.<br /> |-<br /> | 31 || 33 || 4×N [[block]] agar construction || [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=96210]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A way to extend the pseudo still life consisting of a 4×3 rectangle of blocks to a 4×N rectangle for arbitrarily high N using gliders.<br /> |-<br /> | 31 || 33 || [[409P6H1V0|Width-12 c/6 orthogonal spaceship]] || [[Andrew J. Wade]] ||<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first width-12 asymmetric c/6 orthogonal spaceship, which has the minimum possible width for a asymmetric period-6 spaceship of this speed.<br /> |-<br /> | 34 || 32 || [[Loafer]] bitmap printer || [[otismo]] || [https://www.conwaylife.com/forums/viewtopic.php?p=108412]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A collection of loafer guns that can be toggled by a glider memory tape to produce a message in loafer-pixels.<br /> |-<br /> | 35 || 30 || 34-bit still life enumeration || [[Nathaniel Johnston]] || [https://www.conwaylife.com/forums/viewtopic.php?p=87225]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An enumeration of all 34-bit still lifes and pseudo still lifes, which confirmed that the [[quad pseudo still life]] is the unique 34-bit pseudo still life requiring a decomposition into 4 or more pieces.<br /> |-<br /> | 36 || 27 || p5 drifter-like catalyst/lightweight volcano/periodic catalyst || [[wwei23]] and [[Dongook Lee]] || [https://www.conwaylife.com/forums/viewtopic.php?p=117606]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An oscillator that periodically creates then kills via overpopulation a &quot;block face&quot;, allowing it to be used to perturb regions in the same manner as several catalysts without permanently harming the oscillator.<br /> |-<br /> | 37 || 26 || New [[growing spaceship]]s || [[Matthias Merzenich]] and [[praosylen]] || [https://www.conwaylife.com/forums/viewtopic.php?p=114020]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Patterns in which spaceships create a wick that is consumed at a slower speed than it is created at.<br /> |-<br /> | 38 || 25 || Period-10 glider shuttle || [[Martin Grant]] || [https://www.conwaylife.com/forums/viewtopic.php?p=110811]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The lowest known period for a glider shuttle.<br /> |-<br /> | 39 || 23 || Extensible [[Lumps of muck|LoM]] hasslers || [[James Pascua]], [[wwei23]], and [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=117054]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Extensible oscillators based on lumps of muck .<br /> |}<br /> <br /> ===Pattern of the Decade (2010s)===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=86738#p86738 Entries]<br /> <br /> The Pattern of the Decade competition for the 2010s is currently taking place, and is being organized by [[testitemqlstudop]]. All top-three winners from each previous Pattern of the Year competition during the 2010s are automatically added to the nomination list. It is unknown when nominations end for this competition. The results will be posted both on the wiki and on the forums when voting is complete.<br /> <br /> ===2019===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=86701#p86701 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=88378#p88378 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=91252#p91252 Results]<br /> <br /> The following patterns were voted on for the 2019 competition. Users were able to vote on as many patterns as they wished, awarding up to three stars to each one. [[testitemqlstudop]] organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 74 || [[David Hilbert]] || [[Luka Okanishi]], [[praosylen]] || [https://www.conwaylife.com/forums/viewtopic.php?p=85719#p85719]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first {{period|23}} [[oscillator]] discovered.<br /> |-<br /> | 2 || 66 || [[Spider]] synthesis || [[Martin Grant]], [[Goldtiger997]], [[Tanner Jacobi]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=72705#p72705] [https://www.conwaylife.com/forums/viewtopic.php?p=86121#p86121] [https://www.conwaylife.com/forums/viewtopic.php?p=87949#p87949]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first [[glider synthesis]] of a [[c/5 orthogonal]] [[spaceship]], and the largest [[elementary spaceship]] synthesis to date.<br /> |-<br /> | 3 || 53 || [[Scholar]] || [[Andrew J. Wade]] || [https://www.conwaylife.com/forums/viewtopic.php?p=86724#p86724]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The second elementary [[2c/7 orthogonal]] spaceship to be discovered, using a new search program named [https://gitlab.com/andrew-j-wade/life_slice_ship_search life_slice_ship_search].<br /> |-<br /> | data-sort-value=&quot;4&quot; | =4 || 48 || [[46P4H1V0]] synthesis and [[gun]] || [[Tanner Jacobi]], [[Matthias Merzenich]], [[Martin Grant]], [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=69591#p69591] [https://www.conwaylife.com/forums/viewtopic.php?p=70272#p70272] [https://www.conwaylife.com/forums/viewtopic.php?p=84423#p84423]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first synthesis and the first gun to produce a [[c/4 orthogonal]] spaceship.<br /> |-<br /> | data-sort-value=&quot;4&quot; | =4 || 48 || Cheap [[still life]] syntheses || [[Tanner Jacobi]], [[Goldtiger997]], [[Jeremy Tan]], [[Adam P. Goucher]], [[Chris Cain]], [[2718281828]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=86078#p86078] [https://www.conwaylife.com/forums/viewtopic.php?p=85457#p85457] [https://www.conwaylife.com/forums/viewtopic.php?p=82560#p82560] [https://www.conwaylife.com/forums/viewtopic.php?p=83979#p83979]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Among other things, the construction of all 17-bit still lifes in at most 16 [[glider]]s (less than one glider per bit) and all 18-bit still lifes in at most 38 gliders.<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 45 || [[Knightwave]] stablization || [[Matthias Merzenich]], [[Adam P. Goucher]] || [https://www.conwaylife.com/forums/viewtopic.php?p=68044#p68044]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The discovery that [[Sir_Robin#Tagalongs|Minstrel 2]] can be used to support both ends of the knightwave, allowing for extensible [[knightship]]s.<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 45 || [[Remini]] || [[Michael Simkin]] || [https://www.conwaylife.com/forums/viewtopic.php?p=74984#p74984]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[universal constructor]]-based [[puffer]], made only with p30 technology theoretically available since the 1970s.<br /> |-<br /> | 8 || 41 || [[Dueling banjos]] and p24 gun || [[Apple Bottom]], [[Tanner Jacobi]], [[Matthias Merzenich]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=67718#p67718] [https://www.conwaylife.com/forums/viewtopic.php?p=67805#p67805] [https://www.conwaylife.com/forums/viewtopic.php?p=67883#p67883]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A new period-{{gliders|24|brief}} oscillator and resulting compact p24 gun.<br /> |-<br /> | 9 || 39 || [[Slavic]] || [[Pavel Grankovskiy]] || [https://conwaylife.com/forums/viewtopic.php?p=86540#p86540]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The current smallest universal-constructor based [[quadratic growth]] pattern.<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 37 || [[27P4H1V1]] synthesis and gun || [[Goldtiger997]], [[BlinkerSpawn]], [[Entity Valkyrie]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=84593#p84593] [https://www.conwaylife.com/forums/viewtopic.php?p=84785#p84785]<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 37 || Stable glider-to-spaceship [[converter]]s || [[Goldtiger997]] || [https://conwaylife.com/forums/viewtopic.php?p=76686#p76686] [https://conwaylife.com/forums/viewtopic.php?p=77029#p77029] [https://www.conwaylife.com/forums/viewtopic.php?p=86384#p86384]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Stable patterns that convert gliders into small synthesizable spaceships ([[crab]], [[25P3H1V0.2]], [[27P4H1V1]]).<br /> |-<br /> | 12 || 36 || [[66P13]] || [[Bullet51]], [[praosylen]], et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=85245#p85245] [https://www.conwaylife.com/forums/viewtopic.php?p=85261#p85261] [https://www.conwaylife.com/forums/viewtopic.php?p=85862#p85862] <br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A sparky period-{{period|13|brief}} oscillator which can support [[wick]]s, [[bumper]]s, and p26 oscillators.<br /> |-<br /> | 13 || 35 || [[p49 skewed pulsar hassler]] || [[Martin Grant]], [[Jason Summers]] || [https://www.conwaylife.com/forums/viewtopic.php?p=85900#p85900]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first known p49 oscillator that is not a [[glider loop]].<br /> |-<br /> | data-sort-value=&quot;14&quot; | =14 || 34 || [[Phoenix]] [[agar]]s || [[Alex Greason]], [[BlinkerSpawn]], [[Dongook Lee]], and [[Arie Paap]] || [https://www.conwaylife.com/forums/viewtopic.php?p=84877#p84877] [https://www.conwaylife.com/forums/viewtopic.php?p=84994#p84994] [https://www.conwaylife.com/forums/viewtopic.php?p=84928#p84928]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Oscillating patterns living on a period-2 phoenix background that emulate some bounded [https://en.wikipedia.org/wiki/Elementary_cellular_automaton Rule 18] patterns.<br /> |-<br /> | data-sort-value=&quot;14&quot; | =14 || 34 || [[60-line c/10 printer]] || [[GilGil]] || [https://conwaylife.com/forums/viewtopic.php?p=76571#p76571]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An easy-to-use [[c/10 orthogonal]] printer that can copy and print a picture 60 lines tall.<br /> |-<br /> | data-sort-value=&quot;16&quot; | =16 || 33 || [[R49]] || [[Entity Valkyrie]], [[Luka Okanishi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=83753#p83753]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A useful and compact pre-[[Herschel]] [[turner]]/advancer [[conduit]].<br /> |-<br /> | data-sort-value=&quot;16&quot; | =16 || 33 || New gun designs || [[Tanner Jacobi]] || [https://conwaylife.com/forums/viewtopic.php?p=75185#p75185] [https://conwaylife.com/forums/viewtopic.php?p=75374#p75374]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Clever new gun components that allow the reduction of a large number of glider guns in the [[Dieter and Peter's glider gun collection|small guns collection]].<br /> |-<br /> | data-sort-value=&quot;16&quot; | =16 || 33 || Systematic survey of small patterns || [[Nick Gotts]] || [https://conwaylife.com/forums/viewtopic.php?p=65971#p65971] [https://www.conwaylife.com/forums/viewtopic.php?p=77105#p77105] [https://www.conwaylife.com/forums/viewtopic.php?p=85059#p85059]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A systematic survey of all patterns up to 9 cells, as well as a survey of all single-cluster 10-cell patterns resulting in the discovery of two record-breaking 10-celled methuselae, [[bunnies 10a]] and [[bunnies 10b]].<br /> |-<br /> | data-sort-value=&quot;19&quot; | =19 || 32 || [[99 Bottles of Beer on the Wall]] || [[Michael Simkin]] || [https://www.conwaylife.com/forums/viewtopic.php?p=85414#p85414]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A pattern that prints the song &quot;99 Bottles of Beer on the Wall.&quot;<br /> |-<br /> | data-sort-value=&quot;19&quot; | =19 || 32 || [[Spaghetti monster]] eater and [[Heisenburp]] || [[Martin Grant]], [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=84018#p84018] [https://www.conwaylife.com/forums/viewtopic.php?p=84081#p84081]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first patterns capable of cleanly deleting and detecting a [[3c/7 orthogonal]] spaceship.<br /> |-<br /> | 21 || 29 || [[47575M]] || [[Adam P. Goucher]] || [https://www.conwaylife.com/forums/viewtopic.php?p=70221#p70221]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A record-breaking [[methuselah]] (excluding [[switch engine]]-based methuselahs) found with [[apgsearch]].<br /> |-<br /> | 22 || 27 || [[Mountain range]] patterns || [[Dean Hickerson]] || [https://www.conwaylife.com/forums/viewtopic.php?p=72684#p72684]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Various patterns experiencing irregular growth due to complex glider interactions in a similar vein to [[jagged lines]].<br /> |-<br /> | data-sort-value=&quot;23&quot; | =23 || 26 || New mid-period [[sparker]]s || [[2718281828]], [[praosylen]], [[Martin Grant]], [[Dongook Lee]] || [https://www.conwaylife.com/forums/viewtopic.php?p=70587#p70587] [https://www.conwaylife.com/forums/viewtopic.php?p=70632#p70632] [https://www.conwaylife.com/forums/viewtopic.php?p=75715#p75715] [https://www.conwaylife.com/forums/viewtopic.php?p=76104#p76104]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=77040#p77040] [https://www.conwaylife.com/forums/viewtopic.php?p=84992#p84992] [https://www.conwaylife.com/forums/viewtopic.php?p=85532#p85532]<br /> |-<br /> | data-sort-value=&quot;23&quot; | =23 || 26 || Stably supported [[cyclotron]] gun || [[Goldtiger997]], [[Paul Callahan]], [[Adam P. Goucher]] || [https://www.conwaylife.com/forums/viewtopic.php?p=71925#p71925] <br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A modification of [[Dean Hickerson]]'s [[cyclotron]] which uses only [[stable]] components.<br /> |-<br /> | 25 || 25 || [[230P8]] || [[Arie Paap]] || [https://www.conwaylife.com/forums/viewtopic.php?p=68099#p68099]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A high-clearance p8 [[domino]] sparker that can be used to create a p32 [[phase shift]] oscillator.<br /> |-<br /> | 26 || 23 || p250 c/10 orthogonal [[rake]] || [[christoph.r]] || [https://www.conwaylife.com/forums/viewtopic.php?p=85846#p85846]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The lowest-period [[c/10 orthogonal]] rake constructed to date.<br /> |-<br /> | 27 || 19 || [[Hackersaw]] || [[Gustone]] || [https://conwaylife.com/forums/viewtopic.php?p=84247#p84247]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A logarithmic-growth pattern with a [[sawtooth]]-shaped population graph.<br /> |}<br /> <br /> ===2018===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=67012#p67012 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=67446#p67446 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=68446#p68446 Results]<br /> <br /> The following patterns were voted on for the 2018 competition. Users were able to vote on as many patterns as they wished, awarding up to three stars to each one. [[77topaz]] organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 106 || [[Sir Robin]] || [[Adam P. Goucher]], [[Tomas Rokicki]] || [https://www.conwaylife.com/forums/viewtopic.php?p=57354#p57354]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[(2,1)c/6]] spaceship, and the first [[elementary spaceship|elementary]] [[oblique]] spaceship discovered in Conway's Game of Life. <br /> |-<br /> | 2 || 90 || [[0E0P metacell]] || [[Adam P. Goucher]] || [https://cp4space.wordpress.com/2018/11/12/fully-self-directed-replication/]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[unit cell]] which does not require a background grid of metacells to function, proving the existence of unusual classes of patterns such as quadratic [[replicator]]s and [[RRO]]s in Conway's Game of Life &quot;imported&quot; from other rules.<br /> |-<br /> | 3 || 79 || [[Reverse caber-tosser]] || [[Adam P. Goucher]], [[Dave Greene]], [[Chris Cain]] || [https://conwaylife.com/forums/viewtopic.php?p=61666#p61666]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A complex mechanism which theoretically allows any [[glider synthesis|glider-synthesisable]] pattern to be synthesised in just 35 gliders, by encoding the pattern's complexity into the distance between the gliders rather than their quantity.<br /> |-<br /> | 4 || 52 || [[Turing Machine simulator]] || [[Michael Simkin]] || [https://www.conwaylife.com/forums/viewtopic.php?p=58910#p58910]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A script which can simulate arbitrary [https://en.wikipedia.org/wiki/Turing_machine Turing machines] in Conway's Game of Life using a finite tape.<br /> |-<br /> | 5 || 45 || [[Camelship]] || [[Chris Cain]] || [https://www.conwaylife.com/forums/viewtopic.php?p=66297#p66297]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[self-constructing]] [[oblique]] spaceship with the minimum possible step size for a [[slope]] 3 spaceship.<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 41 || New [[self-constructing]] spaceships || [[Dave Greene]] || [http://b3s23life.blogspot.com/2018/11/new-tools-for-self-construction.html]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[loopship]], along with [[HashLife]]-friendly variants of [[Orthogonoid]] and [[Demonoid]].<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 41 || [[c/2 diagonal]] [[telegraph]] recipe || [[Martin Grant]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64489#p64489]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A 140-glider recipe to create a detectable [[c/2 diagonal]] signal traveling non-destructively along an arbitrarily long [[barge]] or [[ship]].<br /> |-<br /> | 8 || 35 || [[Period-52 glider gun]] || [[Dave Greene]], [[Matthias Merzenich]], [[Adam P. Goucher]], [[Chris Cain]], [[Entity Valkyrie]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64083#p64083] [https://www.conwaylife.com/forums/viewtopic.php?p=65720#p65720]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=65762#p65762]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first true-period 52 [[gun]] constructed, which was later [[P13-assisted period-52 glider gun|vastly reduced]] using [[53P13]].<br /> |-<br /> | 9 || 34 || Stable [[line crosser]] || [[Dave Greene]], [[Goldtiger997]], [[Chris Cain]] || [https://conwaylife.com/forums/viewtopic.php?p=63536#p63536]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A modernized rehash of a [[periodic]] circuit for transmitting a glider across a diagonal line of cells found by [[David Bell]].<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 33 || [[Jormungant's G-to-H]] || [[Louis-François Handfield]] (Jormungant) || [https://www.conwaylife.com/forums/viewtopic.php?p=58814#p58814]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A 2G-to-H converter with a short [[recovery time]], allowing for the optimization of numerous [[gun]]s.<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 33 || [[Period-33 glider gun]] || [[Arie Paap]], [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64266#p64266]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first true-period 33 [[gun]], which uses two interacting copies of [[Jason's p33]].<br /> |-<br /> | data-sort-value=&quot;10&quot; | =10 || 33 || [[Infinite distinct diagonal spaceships]] and [[infinite distinct orthogonal spaceships]] || [[Adam P. Goucher]], [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=55400#p55400] [https://www.conwaylife.com/forums/viewtopic.php?p=66993#p66993]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Two guns which each use [[sqrtgun]] mechanisms to fire infinitely many distinct spaceships, all of which are [[puffer]]s whose outputs are eaten by spaceships arbitrarily far away.<br /> |-<br /> | data-sort-value=&quot;13&quot; | =13 || 31 || [[Sierpinski triangle generator]] || [[Luka Okanishi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=56835#p56835]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[breeder]] that outputs gliders in the shape of a growing Sierpinski triangle.<br /> |-<br /> | data-sort-value=&quot;13&quot; | =13 || 31 || [[Cottonmouth]] || [[AforAmpere]] || [https://www.conwaylife.com/forums/viewtopic.php?p=58357#p58357]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An infinitely extensible [[pushalong]] for the [[copperhead]] and [[fireship]].<br /> |-<br /> | data-sort-value=&quot;13&quot; | =13 || 31 || 5c/9 signal injector || [[Rhombic]], [[Simon Ekström]], [[Chris Cain]] || [https://conwaylife.com/forums/viewtopic.php?f=&amp;p=54607#p54607]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A method of transforming [[Herschel]]s to [[5c/9 drifter]]s with a [[recovery time]] of 62.<br /> |-<br /> | 16 || 30 || [[p46 gliderless LWSS gun]] || [[Nathaniel Johnston]] || [https://www.conwaylife.com/forums/viewtopic.php?p=61392#p61392]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The smallest known [[gliderless]] [[LWSS]] gun, using three copies of [[Tanner's p46]].<br /> |-<br /> | data-sort-value=&quot;17&quot; | =17 || 29 || [[Bronco]] || [[Tanner Jacobi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=66406#p66406]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The second elementary [[glider]]-to-[[Herschel]] converter to be discovered.<br /> |-<br /> | data-sort-value=&quot;17&quot; | =17 || 29 || New high-period [[oscillator]]s || [[carybe]] || [https://www.conwaylife.com/forums/viewtopic.php?p=63969#p63969] [https://www.conwaylife.com/forums/viewtopic.php?p=64645#p64645]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=65088#p65088] [https://www.conwaylife.com/forums/viewtopic.php?p=65324#p65324]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A collective entry for [[p36 shuttle]], [[34P14 shuttle]], [[68P16]], and [[p64 thunderbird hassler]], all discovered using [[apgsearch]].<br /> |-<br /> | 19 || 28 || [[Quinti-Snark]]s || [[Tanner Jacobi]] || [https://conwaylife.com/forums/viewtopic.php?p=65198#p65198]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Period-quintupling [[reflector]]s useful for [[gun]]s.<br /> |-<br /> | 20 || 27 || [[Pseudo-period]] [[xWSS]] guns || [[Chris Cain]], [[Adam P. Goucher]], [[Entity Valkyrie]], [[2718281828]], [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=65121#p65121]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | New xWSS guns with pseudo-periods ranging from 18 to 21, breaking the previous record of 22.<br /> |-<br /> | 21 || 26 || [[Self-constructing]] [[oscillator]] with [[strict volatility]] one || [[Dave Greene]], [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=66216#p66216]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A method of constructing strictly volatile oscillators with any [[period]] 3,506,910 or above.<br /> |-<br /> | 22 || 25 || [[p3 bumper]] || [[Arie Paap]], [[Tanner Jacobi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=58869#p58869]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[periodic]] reflector to work at p39, which also allowed for the construction of a [[p57 bumper loop]]<br /> |-<br /> | data-sort-value=&quot;23&quot; | =23 || 24 || Goldtiger997's Amazing 2 in 1 Reusable Multipurpose Minstrel Remover and Detector™ || [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=66828#p66828]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A circuit capable of removing every known [[Minstrel]] from [[Sir Robin]] at the time of its construction.<br /> |-<br /> | data-sort-value=&quot;23&quot; | =23 || 24 || New mid-period [[sparker]]s || [[Dongook Lee]], [[Josh Ball]], [[Martin Grant]], [[praosylen]], [[carybe]], [[Bullet51]] || [https://www.conwaylife.com/forums/viewtopic.php?p=56422#p56422] [https://www.conwaylife.com/forums/viewtopic.php?p=58503#p58503]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=58616#p58616] [https://www.conwaylife.com/forums/viewtopic.php?p=59789#p59789]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=59991#p59991] [https://www.conwaylife.com/forums/viewtopic.php?p=62347#p62347]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=64284#p64284] [https://www.conwaylife.com/forums/viewtopic.php?p=66800#p66800]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A collective entry for various [[spark]]ing oscillators with periods ranging from 7 to 10, including but not limited to [[68P9]] and [[55P10]].<br /> |-<br /> | data-sort-value=&quot;25&quot; | =25 || 23 || [[Minstrel 4]] || [[Entity Valkyrie]] || [https://www.conwaylife.com/forums/viewtopic.php?p=66748#p66748]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A manually-assembled [[Sir Robin]] [[tagalong]] which combines [[Minstrel]]s 1 and 3.<br /> |-<br /> | data-sort-value=&quot;25&quot; | =25 || 23 || Period-doubling [[fireship]] tagalong || [[christoph.r]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64623#p64623]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[tagalong]] for a [[flotilla]] of three [[fireship]]s which increases its period to 20.<br /> |-<br /> | 27 || 22 || [[p4 bouncer]] || [[Arie Paap]], [[Noam Elkies]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64315#p64315]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The fastest known p4 [[reflector]].<br /> |-<br /> | 28 || 21 || Huge 2D-extensible [[wick]]-supporting [[pushalong]] || [[Hartmut Holzwart]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64968#p64968]<br /> |-<br /> | 29 || 20 || [[Non-monotonic]] [[2c/5 orthogonal]] spaceship || [[Arie Paap]], [[Matthias Merzenich]], [[Bullet51]] || [https://www.conwaylife.com/forums/viewtopic.php?p=59118#p59118]<br /> |-<br /> | data-sort-value=&quot;30&quot; | =30 || 19 || [[p9 bouncer]] || [[Matthias Merzenich]], [[carybe]], [[Noam Elkies]] || [https://www.conwaylife.com/forums/viewtopic.php?p=64309#p64309]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[reflector]] capable of reflecting a p27 glider stream using [[68P9]], which was found using [[apgsearch]] the same day.<br /> |-<br /> | data-sort-value=&quot;30&quot; | =30 || 19 || p6 180-degree [[reflector]] and related [[gun]]s || [[Arie Paap]], [[Tanner Jacobi]], [[Louis-François Handfield]] || [https://www.conwaylife.com/forums/viewtopic.php?p=65060#p65060] [https://www.conwaylife.com/forums/viewtopic.php?p=65819#p65819]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A reflector which can be used alongside other [[sparker]]s to create arbitrary guns with period (60n+30).<br /> |-<br /> | 32 || 18 || Fast universal [[regulator]]s || [[Dave Greene]] || [https://conwaylife.com/forums/viewtopic.php?p=61746#p61746]<br /> |-<br /> | 33 || 17 || [[42883M]] || [[Adam P. Goucher]] || [https://www.conwaylife.com/forums/viewtopic.php?p=66055#p66055]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A 16&amp;times;16 [[soup]] found by [[apgsearch]], and the longest-lasting known [[methuselah]] fitting within a 16&amp;times;16 bounding box.<br /> |-<br /> | 34 || 10 || New [[honey farm]] [[hassle]]rs || [[Tanner Jacobi]], [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=65000#p65000] [https://www.conwaylife.com/forums/viewtopic.php?p=65021#p65021]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=65117#p65117]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A collective entry for a few [[oscillator]]s of periods 36 and 40 which use honey farm-hassling reactions.<br /> |}<br /> <br /> ===2017===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=54485#p54485 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=55444#p55444 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=56715#p56715 Results]<br /> <br /> The following patterns were voted on for the 2017 competition. Users were able to vote on as many patterns as they wished, awarding up to three stars to each one. [[Adam P. Goucher]] organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 50 || [[2-engine Cordership]] || [[praosylen]] || [https://www.conwaylife.com/forums/viewtopic.php?p=54444#p54444]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A successful refutation of the common belief that 3 engines are required to build a [[Cordership]].<br /> |-<br /> | 2 || 34 || [[Tanner's p46]] || [[Tanner Jacobi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=52220#p52220]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A new sparky {{period|46}} [[oscillator]] that various [[gun]]s can be made from.<br /> |-<br /> | 3 || 32 || [[Stable pulse-divider]]s || [[Tanner Jacobi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=50677#p50677] [https://www.conwaylife.com/forums/viewtopic.php?p=52335#p52335]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=52636#p52636]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The [[Snark]] and [[semi-Snark]] have been joined by new exciting [[tremi-Snark]], [[quadri-Snark]], and [[semi-cenark]]s, which are particularly helpful for optimising [[glider gun|glider]] and spaceship [[gun]]s.<br /> |-<br /> | 4 || 29 || New [[Demonoid]] and [[Orthogonoid]] [[spaceship]]s || [[Dave Greene]], [[slmake]] || [https://www.conwaylife.com/forums/viewtopic.php?p=45264#p45264] [https://www.conwaylife.com/forums/viewtopic.php?p=45486#p45486]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [[Geminoid]] variants which travel diagonally and orthogonally, respectively, showcasing interesting developments such as [[MWSS]]-based [[signal]]ling and [[syringe]] syntheses.<br /> |-<br /> | 5 || 27 || The efficient {{slcells|16}}-bit still life [[synthesis]] project || [[Chris Cain]], [[BlinkerSpawn]], [[Luka Okanishi]], [[Martin Grant]], [[Matthias Merzenich]], [[Bob Shemyakin]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=38489#p38489] [https://conwaylife.com/forums/viewtopic.php?p=43734#p43734]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | All still-lifes of 16 or fewer cells can be constructed at a cost of &lt;= 1 glider per cell.<br /> |-<br /> | 6 || 26 || Synthesis of [[25P3H1V0.2]], and reductions of many other small spaceships || [[Martin Grant]], [[Chris Cain]], [[2718281828]], [[gmc_nxtman]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=54359#p54359] [https://www.conwaylife.com/forums/viewtopic.php?p=46308#p46308]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=52614#p52614] [https://www.conwaylife.com/forums/viewtopic.php?p=53496#p53496]<br /> |-<br /> | data-sort-value=&quot;7&quot; | =7 || 24 || [[Sparse Cordership]] || [[David Bell]] || [https://conwaylife.com/forums/viewtopic.php?p=54103#p54103]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | All previously-known [[Cordership]]s required interactions between two or more adjacent [[switch engine]]s. This design, on the other hand, allows the individual switch engines to be separated by arbitrary distances, relying instead on long-range interactions mediated by [[glider]]s and [[stable]] objects.<br /> |-<br /> | data-sort-value=&quot;7&quot; | =7 || 24 || [[Hydra]] || [[Oscar Cunningham]], [[Dave Greene]], [[slmake]] || [https://conwaylife.com/forums/viewtopic.php?p=53089#p53089]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[single-channel]] [[quadratic-growth]] pattern which constructs an intricate mesh of splitting construction heads in all directions. Some well-positioned [[eater]]s prevent this behemoth from cannibalising itself. It uses similar technology to Dave's earlier triple wickstretcher, but is more complex owing to the necessity of splitting signals.<br /> |-<br /> | 9 || 22 || [[3-glider collision|Three-glider synthesis]] of a [[switch engine]] || [[Luka Okanishi]] || [https://conwaylife.com/forums/viewtopic.php?p=41557#p41557]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | It was previously believed that 4 gliders were necessary and sufficient to synthesise a switch engine.<br /> |-<br /> | 10 || 21 || Synthesis of ''N''-bit still lifes in 38 to 39 gliders || [[Tanner Jacobi]], [[Adam P. Goucher]], [[Chris Cain]] || [https://conwaylife.com/forums/viewtopic.php?p=40503#p40503] [https://conwaylife.com/forums/viewtopic.php?p=40526#p40526]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [[Glider synthesis|Syntheses]] of ''N''-bit still lifes for all sufficiently large natural numbers ''N'', using a bounded number of [[glider]]s (38 or 39, depending on the parity of ''N'').<br /> |-<br /> | 11 || 18 || Life object having a bounded population with an [[unknown fate]] || [[David Bell]] || [https://www.conwaylife.com/forums/viewtopic.php?p=53533#p53533]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A pattern which either becomes [[stable]], [[oscillator]]y, or aperiodic, depending on the behaviour of 7 under the generalised Collatz iteration which maps a positive integer ''N'' to 5''N''+1 (if ''N'' odd) or ''N''/2 (if ''N'' even).<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 17 || Completed [[Quest for Tetris]] challenge || [[PhiNotPi]], [[El'endia Starman]], [[K Zhang]], [[Muddyfish]], [[Kritixi Lithos]], [[Mego]], [[Quartata]], et al. || [https://codegolf.stackexchange.com/questions/11880/build-a-working-game-of-tetris-in-conways-game-of-life/142673#142673]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A game of Tetris simulated on a digital computer built out of logic gates formed from [[Brice Due]]'s [[metacell]]s.<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 17 || [[Gliderless]] [[unit cell]] || [[Peter Naszvadi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=53026#p53026]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A cellular automata [[polyglot]] (pattern which runs in a range of rules) based on p46 technology, establishing Turing-completeness of B3[8]/S23[8] provided infinite patterns are permitted.<br /> |-<br /> | data-sort-value=&quot;12&quot; | =12 || 17 || [[Garden of Eden 11]] || [[Steven Eker]] || [http://wwwhomes.uni-bielefeld.de/achim/orphan_11th.html]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An [[orphan]] with 45 live cells and 43 dead cells, the fewest total number of specified cells among all known orphans.<br /> |-<br /> | 15 || 16 || Several new [[stable]] [[signal]] [[converter]]s || [[Dave Greene]], [[Goldtiger997]] || [https://www.conwaylife.com/forums/viewtopic.php?p=42465#p42465]<br /> |-<br /> | 16 || 15 || [[339P7H1V0]] || [[Matthias Merzenich]] || [https://conwaylife.com/forums/viewtopic.php?p=40206#p40206]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The narrowest odd-symmetric c/7 spaceship, and the second known [[elementary]] c/7 spaceship, after the [[loafer]].<br /> |-<br /> | 17 || 14 || Much smaller [[spiral growth]] pattern || [[Dave Greene]], [[slmake]] || [https://www.conwaylife.com/forums/viewtopic.php?p=44792#p44792]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A tightly-coiled loop of data reflected in a double-spiral of [[Snark]]s instructs a [[construction arm]] to encircle the construction indefinitely, gradually constructing an unbounded spiral of further Snarks.<br /> |-<br /> | 18 || 13 || p148 B29 gun || [[Luka Okanishi]], [[Dave Greene]], [[Adam P. Goucher]] || [https://conwaylife.com/forums/viewtopic.php?p=40764#p40764]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A compact [[gun]] for a [[B29|c/4 diagonal spaceship]].<br /> |-<br /> | data-sort-value=&quot;19&quot; | =19 || 12 || Cumulative sum generator || [[gameoflifeboy]] || [https://www.conwaylife.com/forums/viewtopic.php?p=40837#p40837]<br /> |-<br /> | data-sort-value=&quot;19&quot; | =19 || 12 || Triple wickstretcher || [[Dave Greene]] || [https://conwaylife.com/forums/viewtopic.php?p=44377#p44377]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[single-channel]] [[glider loop]] which extends zigzags of [[Snark]]s.<br /> |-<br /> | data-sort-value=&quot;19&quot; | =19 || 12 || The first 3c/7 orthogonal puffer || [[Luka Okanishi]] || [https://conwaylife.com/forums/viewtopic.php?p=41074#p41074]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Exclusively using 3c/7 [[spaghetti monster]]s (the only known spaceship of its velocity). Owing to its faster-than-c/4 speed, a c/2 spaceship is necessary to catch up with the front of the engine to continue the reaction.<br /> |-<br /> | 22 || 11 || The first c/6 orthogonal puffers || [[Nico Brown]], [[Matthias Merzenich]] || [https://conwaylife.com/forums/viewtopic.php?p=47306#p47306]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Messy albeit elegant [[puffer]]s where [[glider]]s collide with large sparky spaceships in perpetuity.<br /> |-<br /> | 23 || 9 || Fixed-length [[tail]] for a [[lightspeed bubble]] of arbitrary width in the [[zebra stripes]] [[agar]] || [[Arie Paap]] || [https://www.conwaylife.com/forums/viewtopic.php?p=40615#p40615]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [[Gabriel Nivasch]] showed that arbitrary-width lightspeed bubbles in the zebra stripes agar are supportable, requiring a fixed-length head and variable-length tail. It was hitherto an open problem to replace the variable-length tail with a fixed-length counterpart.<br /> |-<br /> | 24 || 7 || [[28P7.3]] || [[Bullet51]] || [https://www.conwaylife.com/forums/viewtopic.php?p=54236#p54236]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The smallest known (tied with previous record) {{period|7}} [[oscillator]].<br /> |-<br /> | 25 || 6 || [[Runny nose]] || [[83bismuth38]] || [https://www.conwaylife.com/forums/viewtopic.php?p=41272#p41272]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A {{period|3}} [[oscillator]] which showed an unexpected gap in lists of small objects.<br /> |}<br /> <br /> ===2016===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=39117#p39117 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=41977#p41977 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=44028#p44028 Results]<br /> <br /> The following patterns were voted on for the 2016 competition. Users were able to vote on as many patterns as they wished, awarding up to three stars to each one. [[Alexey Nigin]] organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 49 || [[Caterloopillar]]s || [[Michael Simkin]], [[David Bell]] et al. || [https://conwaylife.com/forums/viewtopic.php?p=29796#p29796]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Previously, all [[engineered spaceship]]s had speeds that were either fixed ([[Caterpillar]]) or adjustable but always very low ([[Gemini]]). Caterloopillars have the best of both worlds: their speed is variable, and the fastest ones can travel as quickly as c/4. So far all caterloopillars have been orthogonal, but a project to build one with adjustable [[slope]] is underway.<br /> |-<br /> | 2 || 47 || [[Copperhead]] || [[zdr]], [[Simon Ekström]] et al. || [https://www.conwaylife.com/forums/viewtopic.php?p=27988#p27988] [https://www.conwaylife.com/forums/viewtopic.php?p=28956#p28956]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | In addition to being the first of its speed, this [[c/10 orthogonal]] [[spaceship]] is so small that it is surprising nobody discovered it before. Its small size allowed the creation of a 22-glider synthesis, and a gun was made soon afterwards. A pseudo-tagalong known as the [[fireship]] found a bit later made it possible to create c/10 [[puffers]] and [[rakes]]. Much of copperhead's fame is due to the mystery surrounding its discovery: it was posted by a newly-joined anonymous user who became inactive afterwards.<br /> |-<br /> | 3 || 39 || [[Grandfather problem|Grandfather-less Pattern]] || [[mtve]] || [https://conwaylife.com/forums/viewtopic.php?p=30646#p30646]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | &quot;Is there a configuration which has a father but no grandfather?&quot; This is the statement of the grandfather problem, one of the longest-standing open problems in [[Conway's Game of Life|Life]], having been unsolved for decades in spite of a $50 prize offer from [[John Conway]] Himself in September 1972. It was only this year that the first grandfather-less pattern was discovered using a SAT solver.<br /> |-<br /> | 4 || 31 || [[Spaghetti monster]] || [[Tim Coe]] || [https://www.conwaylife.com/forums/viewtopic.php?p=31863#p31863]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | This is the first spaceship with a speed of 3c/7, which has been one of the most sought-after speeds in the last 15 years. The ship was discovered with [[knightt]], a relatively new search program. The search took about two months, even though the width was continuously tweaked to make it faster.<br /> |-<br /> | 5 || 28 || [[8-bit computer]] || [[Coban]] || [https://conwaylife.com/forums/viewtopic.php?p=37428#p37428]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | This is the first 8-bit computer in any [[cellular automaton]], and easily the most realistic computer ever constructed in Life. It has a ROM which contains the program, consisting of 32 instructions which are stored in 21 bits each. For RAM, it has a register bank containing eight 8-bit registers. For output, it has a &quot;printer&quot; with 8 pixels.<br /> |-<br /> | 6 || 19 || [[Herschel splitter]] || [[Luka Okanishi]] || [https://conwaylife.com/forums/viewtopic.php?p=29968#p29968]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | This is an elegant solution to an old circuitry problem: a direct [[Herschel]] signal splitter that recovers in less than a hundred ticks. People had been looking for something exactly like this for very nearly twenty years, ever since the original 1996-97 universal set of [[Herschel conduit]]s. It was made by extending an [[Fx119]] conduit with a partial copy of itself to extract the second Herschel output.<br /> |-<br /> | 7 || 14 || [[Bumper]] || [[Tanner Jacobi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=29711#p29711]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | This [[reflector]] mechanism can be attached to a variety of sparky [[oscillator]]s to make reflectors of the corresponding periods. Since the resulting reflectors have different timing than the [[Snark]], they solve a range of &quot;my glider is in the wrong phase&quot; wiring problems. A small wave of record-breaking guns followed soon after the bumper's debut.<br /> |-<br /> | data-sort-value=&quot;8&quot; | =8 || 12 || New gun periods || [[Luka Okanishi]], [[thunk]], [[Matthias Merzenich]], [[Chris Cain]] || [https://conwaylife.com/forums/viewtopic.php?p=29965#p29965] [https://conwaylife.com/forums/viewtopic.php?p=29991#p29991] [https://conwaylife.com/forums/viewtopic.php?p=30033#p30033]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | In three days, three new true gun periods were discovered: [[Period-61 glider gun|p61]], [[Period-58 glider gun|p58]], and [[Period-57 glider gun|p57]].<br /> |-<br /> | data-sort-value=&quot;8&quot; | =8 || 12 || [[Statorless p5]] || [[Josh Ball]] || [https://conwaylife.com/forums/viewtopic.php?p=32242#p32242]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | This is the first [[statorless]] oscillator of its period. Since the period is prime, the lack of stator implies that the oscillator is [[strictly volatile]], which is a rare property.<br /> |-<br /> | 10 || 11 || [[Aperiodic tiles]] || [[NotLiving]] || [https://conwaylife.com/forums/viewtopic.php?p=30640#p30640]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | This is an implementation of a particular set of [[https://en.wikipedia.org/wiki/Wang_tiles Wang tiles]] in the Game of Life. The Life tiles form a stable pattern if and only if the corresponding arrangement of Wang tiles is valid. Since this set of Wang tiles can only form aperiodic arrangements, so can the Life tiles.<br /> |-<br /> | 11 || 10 || [[Rich's p16]] || [[Rich Holmes]] || [https://conwaylife.com/forums/viewtopic.php?p=32766#p32766]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | This is a small [[:Category:Oscillators with period 16|p16]] oscillator that appeared [[natural]]ly. It is compact for its period and has easily accessible [[spark]]s. Most notably, it can filter [[glider]] streams similarly to the [[blocker]], which led to reductions in many guns that previously utilized other filter mechanisms.<br /> |-<br /> | 12 || 9 || Small [[Garden of Eden|GoE]]s || [[Steven Eker]] || [http://wwwhomes.uni-bielefeld.de/achim/orphan_9th.html] [http://wwwhomes.uni-bielefeld.de/achim/orphan_10th.html]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A few record-breaking Gardens of Eden and [[orphan]]s were found, including an orphan with only 89 defined cells.<br /> |-<br /> | data-sort-value=&quot;13&quot; | =13 || 6 || 15-bit [[still life]] [[syntheses]] || [[BlinkerSpawn]], [[Goldtiger997]], [[Bob Shemyakin]], [[Mark Niemiec]], [[Martin Grant]], [[Chris Cain]], et al. || [https://conwaylife.com/forums/viewtopic.php?p=36803#p36803] [https://conwaylife.com/forums/viewtopic.php?p=37438#p37438]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A project to find syntheses of all {{slcells|15}}-bit still lifes in under 15 gliders turned out to be a very prolific collaboration. Using [[Catagolue]] soups along with known and new [[converter]] mechanisms, several hundred new syntheses were created. The goal was achieved in just 41 days.<br /> |-<br /> | data-sort-value=&quot;13&quot; | =13 || 6 || [[132P7|p7 sparker]] || [[Dongook Lee]] || [https://conwaylife.com/forums/viewtopic.php?p=38352#p38352]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | This pattern adds a new relatively strong [[heavyweight emulator]] to the p7 collection, which previously only had the [[pipsquirter]]. It was used to complete a p28 [[wick]] with no prior stabilization.<br /> |}<br /> <br /> ===2015===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=26338#p26338 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=26648#p26648 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=27344#p27344 Results]<br /> <br /> The following patterns were voted on for the 2015 competition. Users chose as many pattern as they wanted and ranked them from best to worst; the votes were then tallied with a custom Delphi program.&lt;ref name=&quot;2015program&quot; /&gt; Alexey Nigin organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Points<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 107 || [[Syringe]] || [[Tanner Jacobi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=18086#p18086]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Syringe is the fast [[glider|G]]-to-[[Herschel|H]] that Herschel plumbers have been wishing for a decade, also allowing for fast signal splitters and other much more efficient logic circuits, including self-constructing circuitry.<br /> |-<br /> | 2 || 102 || [[Simkin glider gun]] || [[Michael Simkin]] || [https://www.conwaylife.com/forums/viewtopic.php?p=19124#p19124]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The [[Simkin glider gun]] is the smallest gun ever constructed. The previous record holder, the [[Gosper glider gun]], was constructed as long ago as {{year|1970}}.<br /> |-<br /> | 3 || 91 || [[Demonoid]]s || [[Chris Cain]] and [[Dave Greene]] || [https://www.conwaylife.com/forums/viewtopic.php?p=25401#p25401] [https://conwaylife.com/forums/viewtopic.php?p=25702#p25702]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Demonoids are highly-simplified, diagonally-moving variants of the original [[Gemini]] spaceship. The 0hd Demonoid is the only case where a spaceship [[gun]] pattern was completed before the actual spaceship. <br /> |-<br /> | 4 || 55 || Syntheses of [[spaceship]]s || [[Martin Grant]], [[Tanner Jacobi]], and [[Chris Cain]] || [https://www.conwaylife.com/forums/viewtopic.php?p=15474#p15474] [https://www.conwaylife.com/forums/viewtopic.php?p=15747#p15747] [https://www.conwaylife.com/forums/viewtopic.php?p=15951#p15951]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=16223#p16223] [https://www.conwaylife.com/forums/viewtopic.php?p=16736#p16736] [https://www.conwaylife.com/forums/viewtopic.php?p=17576#p17576]&lt;br&gt;[https://www.conwaylife.com/forums/viewtopic.php?p=18531#p18531] [https://www.conwaylife.com/forums/viewtopic.php?p=20360#p20360] [https://www.conwaylife.com/forums/viewtopic.php?p=22469#p22469]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Syntheses of [[B29]], [[X66]], half-X66 with [[HWSS]], [[Pushalong 1]], [[25P3H1V0.2]], [[30P5H2V0]], [[30P4H2V0.4]], a pufferfish spaceship, and the [[weekender]] were discovered in 2015, which exceeds the number of spaceship syntheses found in any previous year, including 1970.<br /> |-<br /> | 5 || 48 || [[Recursive filter]] || [[Alexey Nigin]] and [[Kiran Linsuain]] || [https://www.conwaylife.com/forums/viewtopic.php?p=20935#p20935]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [https://www.conwaylife.com/forums/viewtopic.php?p=20935#p20935 Recursive Filter] allows the creation of extremely slow-growing patterns. A single recursive filter gives the growth rate of [https://en.wikipedia.org/wiki/Iterated_logarithm log*(t)], which is slower than the growth rate of any pattern constructed before. Recursive filters can be stacked to obtain even more mind-boggling growth rates. <br /> |-<br /> | 6 || 45 || [[Glider-to-Weekender]] || [[Chris Cain]] || [https://conwaylife.com/forums/viewtopic.php?p=23009#p23009]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [https://conwaylife.com/forums/viewtopic.php?p=23009#p23009 G-to-Weekender] splits a single input [[glider]] into 82 separate signals, and successfully synchronizes them to produce an output [[weekender]] spaceship. The previous record synchronization was [[Adam P. Goucher|Goucher]]'s glider-to-[[Cordership]] converter, which produced 19 synchronized gliders from one input signal.<br /> |-<br /> | 7 || 34 || [[Bob Shemyakin]]'s syntheses || [[Bob Shemyakin]] || [https://conwaylife.com/forums/viewtopic.php?p=23931#p23931]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [https://conwaylife.com/forums/viewtopic.php?p=23931#p23931 Bob Shemyakin's syntheses] are often cheaper than what could be found in [[Mark Niemiec]]'s database (and those were already pretty good). This was the result of a lot of patient script-writing and collecting collision results, starting with adding two gliders (within a certain range) to every possible two-glider collision. Many new 4-, 5-, and 6-glider still life recipes were found, and optimizations for many larger still lifes up to 15 bits.<br /> |-<br /> | 8 || 33 || [[HBK gun]] || [[Chris Cain]] and [[Michael Simkin]] || [https://www.conwaylife.com/forums/viewtopic.php?p=15639#p15639]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | HBK gun is an extremely large and complex [[gun]] that fires parallel HBKs. It is the only gun to produce non-self-constructing macro-spaceships.<br /> |-<br /> | 9 || 31 || [[Herschel-to-MWSS]] || [[Tanner Jacobi]] || [https://www.conwaylife.com/forums/viewtopic.php?p=23888#p23888]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [https://www.conwaylife.com/forums/viewtopic.php?p=23888#p23888 H-to-MWSS] is the smallest converter of [[Herschel]]s into (non-[[glider]]) [[standard spaceship]]s. Prior constructions of XWSSs required many [[Herschel track]]s and a large area. <br /> |-<br /> | 10 || 30 || [[Sawtooth 177]] || [[thunk]], [[Tanner Jacobi]], [[Chris Cain]], [[Adam P. Goucher]], and [[Dave Greene]] || [https://www.conwaylife.com/forums/viewtopic.php?p=24245#p24245]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Sawtooth 177 is currently the smallest known sawtooth.<br /> |-<br /> | 11 || 29 || [[Single-lane construction arm toolkit]] || [[Simon Ekström]] || [https://www.conwaylife.com/forums/viewtopic.php?p=26024#p26024]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The [https://www.conwaylife.com/forums/viewtopic.php?p=26024#p26024 Single-Lane Construction Arm Toolkit] is an important result for simplifying [[self-constructing]] [[circuitry]], especially those where a recipe needs to be duplicated, as in the [[linear propagator]], not just interpreted as in the [[Demonoid]] and [[Gemini]].<br /> |-<br /> | 12 || 28 || Elementary conduits collection || [[Matthias Merzenich]], [[Dave Greene]], and [[thunk]] || [https://www.conwaylife.com/forums/viewtopic.php?p=25684#p25684]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The [https://www.conwaylife.com/forums/viewtopic.php?p=25684#p25684 Elementary Conduits Collection], recently significantly expanded with new discoveries, is a one-stop shop for the building blocks of [[stable]] [[track]]s. It was organized to catalogue all [[converter]]s between likely active reactions, not just from [[Herschel]] to Herschel.<br /> |-<br /> | 13 || 26 || [[45-degree MWSS-to-G|(L{{!}}M)WSS-to-glider]] || [[Ivan Fomichev]] and [[Dongook Lee]] || [https://www.conwaylife.com/forums/viewtopic.php?p=23800#p23800]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [https://www.conwaylife.com/forums/viewtopic.php?p=23800#p23800 (L|M)WSS-to-G] is the second known small conduit that turns [[standard spaceship]]s into [[glider]]s, and the first that accepts [[LWSS]]s.<br /> |-<br /> | 14 || 23 || Collection of guns || [[Chris Cain]], [[Simon Ekström]], [[Scot Ellison]], and [[Dave Greene]] || [https://github.com/ceebo/glider_guns]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The [https://github.com/ceebo/glider_guns Collection of Guns] is an ambitious project to collect new smaller [[glider gun]]s using the [[syringe]] and other recent discoveries. All guns in the range 78-999 were eventually reduced to bounding boxes less than 8000 cells.<br /> |-<br /> | 15 || 19 || [[Dragon lightsaber]] || [[Martin Grant]] || [https://www.conwaylife.com/forums/viewtopic.php?p=18503#p18503]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [https://www.conwaylife.com/forums/viewtopic.php?p=18503#p18503 Dragon Lightsaber] is a mysterious pattern that seems to calculate some sequence. It is [https://xkcd.com/1433/ this] type of a lightsaber.<br /> |-<br /> | 16 || 14 || [[Quadratic sawtooth]] || [[Martin Grant]], [[praosylen]], [[Dongook Lee]], and [[Alexey Nigin]] || [https://www.conwaylife.com/forums/viewtopic.php?p=19443#p19443]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [https://www.conwaylife.com/forums/viewtopic.php?p=19443#p19443 Quadratic sawtooth] is a [[sawtooth]] whose population peaks grow quadratically.<br /> |-<br /> | 17 || 13 || [[Tlog(log(t)) growth|t*log(log(t)) growth]] || [[Alexey Nigin]] and [[Michael Simkin]] || [https://www.conwaylife.com/forums/viewtopic.php?p=19959#p19959]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [https://www.conwaylife.com/forums/viewtopic.php?p=19959#p19959 t*log(log(t)) growth] is pattern with an exotic growth rate. That growth rate has long been achievable via [[exponential filter]]s, but this pattern utilizes a completely different design.<br /> |}<br /> <br /> ===2014===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=27369#p27369 Initial entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=56723#p56723 Belated entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=56796#p56796 Belated voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=57457#p57457 Results]<br /> <br /> The following patterns were submitted as competition entries by users in early 2016. Patterns were not voted on at the time, but a belated vote was held in early 2018, featuring three further submissions in addition to the original nine. [[Kiran Linsuain]] organized the 2016 competition; [[77topaz]] organized the 2018 vote.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 30 || [[Waterbear]] || [[Brett Berger]] and [[Ivan Fomichev]] || [https://www.conwaylife.com/forums/viewtopic.php?p=15284#p15284]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first fast oblique [[spaceship]], moving at speed (23,5)c/79.<br /> |-<br /> | 2 || 23 || [[Centipede]] || [[Chris Cain]] || [https://conwaylife.com/forums/viewtopic.php?p=13070#p13070]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A large, engineered [[spaceship]] that moves at 31c/240, using a unique reaction.<br /> |-<br /> | 3 || 21 || [[Half-baked knightship]] || [[Adam P. Goucher]], [[Chris Cain]], [[Dave Greene]], and [[Ivan Fomichev]] || [https://www.conwaylife.com/forums/viewtopic.php?p=12630#p12630]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An oblique [[spaceship]] that moves with [[displacement]] (6,3), using the [[half-bakery reaction]].<br /> |-<br /> | data-sort-value=&quot;4&quot; | =4 || 17 || [[Switch engine ping-pong]] || [[Michael Simkin]] || [https://www.conwaylife.com/forums/viewtopic.php?p=14050#p14050]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A 23-cell [[quadratic growth]] pattern, the smallest known.<br /> |-<br /> | data-sort-value=&quot;4&quot; | =4 || 17 || Syntheses for all {{slcells|17}}- and {{slcells|18}}-bit [[still life]]s || [[Martin Grant]], [[Mark Niemiec]], and [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=11972#p11972] [https://www.conwaylife.com/forums/viewtopic.php?p=14272#p14272]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Note: Some of the 18-bit syntheses were later found to be invalid, and the project was not completed for real until 2019.&lt;ref name=&quot;post83979&quot; /&gt;<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 13 || [[Pufferfish]] || [[Richard Schank]] || [https://www.conwaylife.com/forums/viewtopic.php?p=14510#p14510]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[period]] 12 c/2 [[puffer]] that was used to make the first wholly high-period c/2 spaceship.<br /> |-<br /> | data-sort-value=&quot;7&quot; | =6 || 13 || [[Spiral growth]] || [[Dave Greene]] || [https://www.conwaylife.com/forums/viewtopic.php?p=12815#p12815]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[self-constructing pattern]] that grows in an outward spiral.<br /> |-<br /> | data-sort-value=&quot;8&quot; | =8 || 12 || [[Dart]] and [[crab]] syntheses || [[Martin Grant]], [[Mark Niemiec]], [[Michael Simkin]], [[Ivan Fomichev]], [[Tanner Jacobi]], and [[Brett Berger]] || [https://www.conwaylife.com/forums/viewtopic.php?p=14680#p14680] [https://conwaylife.com/forums/viewtopic.php?p=15243#p15243]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [[Glider synthesis|Glider syntheses]] for small [[spaceship]]s that did not previously have any.<br /> |-<br /> | data-sort-value=&quot;8&quot; | =8 || 12 || [[Weekender distaff]] || [[Ivan Fomichev]] || [https://www.conwaylife.com/forums/viewtopic.php?p=12047#p12047]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first 2c/7 orthogonal [[rake]], consisting of a long chain of [[weekender]]s perturbing [[ash|debris]].<br /> |-<br /> | 10 || 8 || [[Honey thieves]]&lt;sup&gt;&amp;dagger;&lt;/sup&gt; || [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=13179#p13179]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The smallest known {{period|17}} [[oscillator]], and the first one with a known [[glider synthesis]].<br /> |-<br /> | 11 || 7 || p27 [[billiard table]] oscillator&lt;sup&gt;&amp;dagger;&lt;/sup&gt; || [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=13248#p13248]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An [[oscillator]] in which period 5, period 8 and period 3 [[rotor]]s [[phase shift]] each other.<br /> |-<br /> | 12 || 6 || [[LCM oscillators]]&lt;sup&gt;&amp;dagger;&lt;/sup&gt; || [[Noam Elkies]] || [https://www.conwaylife.com/forums/viewtopic.php?p=56725#p56725]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | [[Oscillator]]s featuring multiple [[rotor]]s that interact in complicated ways.<br /> |}<br /> <br /> &lt;sup&gt;&amp;dagger;&lt;/sup&gt;not originally submitted in 2014.<br /> <br /> ===2013===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=57472#p57472 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=57924#p57924 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=58573#p58573 Results]<br /> <br /> No competition was initially held in 2013. However, it was mentioned in various places that the winner for 2013 was clearly Mike Playle's [[Snark]]&lt;ref&gt;{{cite web|url=<br /> https://conwaylife.com/forums/viewtopic.php?p=7819#p7826|title=Re: Just the place for a Snark!|author=Emerson J. Perkins|date=April 26, 2013|accessdate=February 5, 2018}}&lt;/ref&gt;&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=7&amp;t=1997#p26363|title=Re: Pattern of the Year 2015 (Entries)|author=Dave Greene|date=January 1, 2016|accessdate=February 5, 2018}}&lt;/ref&gt;, with no particular need for a formal vote. A belated vote was organized in early {{year|2018}} by [[77topaz]]. The following patterns were submitted as competition entries by users.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Stars<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | 1 || 34 || [[Snark]] || [[Mike Playle]] || [https://conwaylife.com/forums/viewtopic.php?p=7819#p7819]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[stable]] 90˚ glider [[reflector]] which, with 52 cells and a [[repeat time]] of 43, is both far smaller and far faster than previous such patterns. <br /> |-<br /> | 2 || 31 || [[Loafer]] || [[Josh Ball]] || [https://www.conwaylife.com/forums/viewtopic.php?p=7450#p7450]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first [[c/7 orthogonal]] spaceship and, with just 20 cells, the smallest spaceship other than the glider and [[xWSS]]es.<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 22 || [[CC semi-Snark]] || [[Sergey Petrov]] || [https://www.conwaylife.com/forums/viewtopic.php?p=8383#p8383]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A small, [[Spartan]] 90˚ glider reflector which functions as a [[period doubler]].<br /> |-<br /> | data-sort-value=&quot;3&quot; | =3 || 22 || [[Linear propagator]] || [[Dave Greene]] || [https://www.conwaylife.com/forums/viewtopic.php?p=9901#p9901]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A large, engineered pattern which is arguably the first example of a [[replicator]] in Conway's Game of Life, depending on the exact definition used.<br /> |-<br /> | 5 || 17 || Original 16-bit [[still life]] [[synthesis]] project || [[Martin Grant]], [[Mark Niemiec]], [[Matthias Merzenich]], [[Dave Greene]] || [https://www.conwaylife.com/forums/viewtopic.php?p=10227#p10227]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A project to synthesize all 16-bit still lifes.<br /> |-<br /> | 6 || 15 || [[Period-20 glider gun]] || [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=7975#p7975]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A true period-20 [[glider gun]], the smallest true period known for a gun.<br /> |-<br /> | 7 || 14 || [[135-degree MWSS-to-G]] || [[Matthias Merzenich]] || [https://conwaylife.com/forums/viewtopic.php?p=8489#p8489]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first fast [[elementary]] [[MWSS]]-to-[[glider]] [[converter]].<br /> |-<br /> | 8 || 11 || [[Period-40 glider gun]] || [[Adam P. Goucher]], [[Matthias Merzenich]], [[Jason Summers]] || [https://www.conwaylife.com/forums/viewtopic.php?p=7594#p7594]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A true period-40 [[glider gun]] based on complicated reactions involving [[honey farm]] predecessors, {{period|5}} and period-{{period|8|brief}} [[oscillator]]s.<br /> |-<br /> | data-sort-value=&quot;9&quot; | =9 || 9 || [[AK-94]] and [[Pre-pulsar shuttle]] 22 || [[Mike Playle]], [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=7954#p7954] [https://www.conwaylife.com/forums/viewtopic.php?p=7961#p7961]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Two constructions based on a new [[catalyst]] found by [[Mike Playle]].<br /> |-<br /> | data-sort-value=&quot;9&quot; | =9 || 9 || [[Standard spaceship]] [[eater]] || [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=8579#p8579]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[still life]] capable of [[eater|eating]] every type of [[standard spaceship]].<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 8 || p29 reflector || [[Matthias Merzenich]], [[Noam Elkies]], [[David Buckingham]] || [https://www.conwaylife.com/forums/viewtopic.php?p=8860#p8860]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[reflector]] based on a [[Pre-pulsar shuttle 29]] variant.<br /> |-<br /> | data-sort-value=&quot;11&quot; | =11 || 8 || [[c/4 diagonal]] [[wickstretcher]] || [[Matthias Merzenich]], [[Jason Summers]], [[Paul Tooke]] || [https://www.conwaylife.com/forums/viewtopic.php?p=7373#p7373]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[fencepost]] for a partial [[c/4 diagonal]] [[wickstretcher]] found by [[Paul Tooke]] in {{year|2004}}.<br /> |-<br /> | 13 || 7 || [[c/5 orthogonal]] [[wickstretcher]] || [[Matthias Merzenich]], [[Hartmut Holzwart]], [[Jason Summers]] || [https://www.conwaylife.com/forums/viewtopic.php?p=7570#p7570]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first [[c/5 orthogonal]] [[wickstretcher]] to be found.<br /> |-<br /> | 14 || 5 || [[French kiss]] synthesis || [[Martin Grant]] || [https://conwaylife.com/forums/viewtopic.php?p=9513#p9513]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A 23-glider synthesis for a {{period|3}} oscillator which, despite its size, previously had no known synthesis.<br /> |-<br /> | data-sort-value=&quot;15&quot; | =15 || 4 || [[41P4H1V0]] || [[Jason Summers]] || [https://www.conwaylife.com/forums/viewtopic.php?p=7780#p7780]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | At the time of its discovery, the second smallest known [[c/4 orthogonal]] spaceship.<br /> |-<br /> | data-sort-value=&quot;15&quot; | =15 || 4 || [[138P7]] || [[Karel Suhajda]] || [https://www.conwaylife.com/forums/viewtopic.php?p=8392#p8392]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A fairly strong {{period|7}} [[sparker]], at a time when few were known. It was used to create a period-{{period|14|brief}} [[traffic light]] [[hassler]].<br /> |}<br /> <br /> ===2012===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=7350#p7350 Entries]<br /> <br /> No vote was held for 2012, but the following patterns were submitted as competition entries by users. [[137ben]] organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;3&quot; | Description<br /> |-<br /> | [[37P4H1V0]] || [[Josh Ball]] || [https://conwaylife.com/forums/viewtopic.php?p=6540#p6540]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;3&quot; | A 37-cell c/4 orthogonal spaceship by Josh Ball. In terms of minimum population, it is the smallest known c/4 orthogonal spaceship.<br /> |-<br /> | [[Statorless p3]] || [[Jason Summers]] || [https://conwaylife.com/forums/viewtopic.php?p=6967#p6967]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;3&quot; | The first statorless period-3 oscillator.<br /> |-<br /> | 444-tick [[glider-to-Herschel converter]] || [[Sergey Petrov]] || [https://conwaylife.com/forums/viewtopic.php?p=7102#p7102]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;3&quot; | This is the fastest known stable glider-to-Herschel converter/90-degree glider reflector currently known.<br /> |-<br /> | G4 Herschel merge circuit || [[Sergey Petrov]] || [https://conwaylife.com/forums/viewtopic.php?p=5850#p5850] [https://conwaylife.com/forums/viewtopic.php?p=5885#p5885] [https://conwaylife.com/forums/viewtopic.php?p=7200#p7200]<br /> |-<br /> | [[Ambidextrous]] G5 [[Herschel transceiver]] || [[Sergey Petrov]] || [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=148&amp;hilit=p504&amp;start=50#p7201] [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=148&amp;hilit=p504&amp;start=50#p7205]<br /> |-<br /> | Period-4 90-degree reflector || [[Karel Suhajda]], [[Matthias Merzenich]] || [https://conwaylife.com/forums/viewtopic.php?p=7356#p7356]<br /> |}<br /> <br /> ===2011===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=4904#p4904 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=5940#p5940 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=6325#p6325 Results]<br /> <br /> The following patterns were voted on for the 2011 competition. Users were able to vote for up to three patterns, but not their own patterns; all votes were weighted equally. [[Adam P. Goucher]] organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Votes<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | data-sort-value=&quot;1&quot; | =1 || 10 || [[Fully universal Turing machine]] || [[Paul Rendell]] || [http://rendell-attic.org/gol/fullutm/index.htm]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An extension of the [[Universal Turing machine]] and [[Turing machine]], also by Paul Rendell.<br /> |-<br /> | data-sort-value=&quot;1&quot; | =1 || 10 || [[Lobster (spaceship)|Lobster]] || [[Matthias Merzenich]] || [https://conwaylife.com/forums/viewtopic.php?p=4983#p4983]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A c/7 diagonal spaceship found using [[WinLifeSearch]].<br /> |-<br /> | 3 || 7 || [[Garden of Eden 6]] || [[Marijn Heule]], [[Christiaan Hartman]], [[Kees Kwekkeboom]], and [[Alain Noels]] || [http://wwwhomes.uni-bielefeld.de/achim/orphan_7th.html]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A small (10&amp;times;10), rotationally [[symmetry|symmetric]] [[garden of Eden]] whose [[orphan]] requires only 92 cells to specify.<br /> |-<br /> | data-sort-value=&quot;4&quot; | =4 || 6 || Collection of new stable technology || [[Sergey Petrov]] || [https://conwaylife.com/forums/viewtopic.php?p=5234#p5234] [https://www.conwaylife.com/forums/viewtopic.php?p=5239#p5239]<br /> |-<br /> | data-sort-value=&quot;4&quot; | =4 || 6 || Oblique [[antstretcher]] || [[Matthias Merzenich]] || [https://conwaylife.com/forums/viewtopic.php?p=4548#p4548]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | An [[antstretcher]] combining a c/5 orthogonal component with a c/4 diagonal component previously found by [[Hartmut Holzwart]] in 2006.<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 5 || [[1×N quadratic growth]] || [[Stephen Silver]] || [https://conwaylife.com/forums/viewtopic.php?p=4587#p4587]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first pattern exhibiting [[quadratic growth]] that starts with the thickness of a single cell, using the [[breeder]] from [[Nick Gotts]]' [[26-cell quadratic growth]].<br /> |-<br /> | data-sort-value=&quot;6&quot; | =6 || 5 || [[Pulsar Pixel Display]] || [[Mark Walsh]] || [https://conwaylife.com/forums/viewtopic.php?p=4902#p4902]<br /> |-<br /> | data-sort-value=&quot;8&quot; | 8 || 4 || [[Stable]] [[HWSS]] [[Heisenburp]] || [[Sergey Petrov]], [[Richard Schank]], [[Martin Grant]] || [https://conwaylife.com/forums/viewtopic.php?p=5385#p5385]<br /> |-<br /> | 9 || 2 || [[77P6H1V1]] || [[Josh Ball]] || [https://conwaylife.com/forums/viewtopic.php?p=4349#p4349]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The smallest known spaceship of [[c/6 diagonal|this speed]] in terms of its minimum population, found using [[WinLifeSearch]].<br /> |-<br /> | 10 || 1 || Small moving [[sawtooth]] || [[cloudy197]] || [https://conwaylife.com/forums/viewtopic.php?p=5857#p5857]<br /> |}<br /> <br /> ===2010===<br /> [https://www.conwaylife.com/forums/viewtopic.php?p=2105#p2105 Entries] • [https://www.conwaylife.com/forums/viewtopic.php?p=4056#p4056 Voting] • [https://www.conwaylife.com/forums/viewtopic.php?p=4110#p4110 Results]<br /> <br /> The following patterns were voted on for the 2010 competition. Users were able to vote for up to three patterns, but not their own patterns; all votes were weighted equally. [[Adam P. Goucher]] organized the competition.<br /> <br /> {| class=&quot;sortable wikitable&quot;<br /> |-<br /> ! data-sort-type=&quot;number&quot; | Final rank<br /> ! data-sort-type=&quot;number&quot; | Votes<br /> ! Pattern<br /> ! Author<br /> ! Link(s)<br /> |-<br /> ! class=&quot;unsortable&quot; colspan=&quot;5&quot; | Description<br /> |-<br /> | data-sort-value=&quot;1&quot; | 1 || 14 || [[Gemini]] || [[Andrew J. Wade]] || [https://www.conwaylife.com/forums/viewtopic.php?p=2323#p2323]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first [[oblique spaceship]] to be constructed, with a speed of (5120,1024)c/33699586.<br /> |-<br /> | data-sort-value=&quot;1&quot; | 2 || 9 || [[Phi calculator]] || [[Adam P. Goucher]] || [https://www.conwaylife.com/forums/viewtopic.php?p=1931#p1931]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A modification of Goucher's similar pi calculator to instead calculate the digits of the [https://en.wikipedia.org/wiki/Golden_ratio golden ratio].<br /> |-<br /> | data-sort-value=&quot;1&quot; | 3 || 6 || [[c/5 diagonal rake]] || [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=3761#p3761]<br /> |-<br /> | data-sort-value=&quot;1&quot; | =4 || 5 || [[Pianola breeder]]s || [[Paul Tooke]] || [https://www.conwaylife.com/forums/viewtopic.php?p=3525#p3525]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A series of Gemini-inspired patterns with a growth rate in between [[linear growth|linear]] and [[quadratic growth]].<br /> |-<br /> | data-sort-value=&quot;1&quot; | =4 || 5 || [[Merzenich's p31]] || [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=3797#p3797]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first known period {{period|31|brief}} oscillator, which also has the ability to reflect gliders 90 degrees.<br /> |-<br /> | data-sort-value=&quot;1&quot; | 6 || 4 || Gemini [[gun]]s || [[Dave Greene]] || [https://www.conwaylife.com/forums/viewtopic.php?p=3036#p3036] [http://pentadecathlon.com/lifeNews/2010/07/gemini_guns_1.html]<br /> |-<br /> | data-sort-value=&quot;1&quot; | =7 || 2 || [[Sawtooth 260]] || [[David Bell]] || [https://www.conwaylife.com/forums/viewtopic.php?p=2242#p2242]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | Formerly the smallest known [[sawtooth]] in terms of minimum repeating population.<br /> |-<br /> | data-sort-value=&quot;1&quot; | =7 || 2 || [[c/5 orthogonal]] [[greyship]]s || [[Hartmut Holzwart]] || [https://www.conwaylife.com/forums/viewtopic.php?p=2051#p2051]<br /> |-<br /> | data-sort-value=&quot;1&quot; | 9 || 1 || [[Period-45 glider gun]] || [[Matthias Merzenich]] || [https://www.conwaylife.com/forums/viewtopic.php?p=2228#p2228]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The first true-period-45 glider gun to be discovered.<br /> |-<br /> | data-sort-value=&quot;1&quot; | =10 || 0 || [[MWSS]] [[Heisenburp]] device || [[Martin Grant]] || [https://www.conwaylife.com/forums/viewtopic.php?p=2096#p2096]<br /> |-<br /> | data-sort-value=&quot;1&quot; | =10 || 0 || [[Beluchenko's other p37]] || [[Nicolay Beluchenko]] || [https://www.conwaylife.com/forums/viewtopic.php?p=2108#p2108]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | The second known period {{period|37|brief}} oscillator, and the first one with the ability to reflect gliders 90 degrees.<br /> |-<br /> | data-sort-value=&quot;1&quot; | =10 || 0 || [[Flying wing]] [[spaceship]] || [[Emerson J. Perkins]] || [https://www.conwaylife.com/forums/viewtopic.php?p=2386#p2386]<br /> |- class=&quot;expand-child&quot;<br /> | colspan=&quot;5&quot; | A [[growing spaceship]] which grows in both dimensions.<br /> |}<br /> <br /> ==Also see==<br /> * [[OCA Discovery of the Year]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;2015program&quot;&gt;{{cite web<br /> |title = Re: Pattern of the Year 2015 (Votes)<br /> |accessdate = July 20, 2017<br /> |url = https://www.conwaylife.com/forums/viewtopic.php?p=27345#p27345<br /> |author = Alexey Nigin<br /> |date = February 11, 2016<br /> |work = ConwayLife.com forums<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post83979&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 18-bit SL Syntheses (100% Complete!)<br /> |p = 83979<br /> |author = Ian07<br /> |date = October 9, 2019<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> [[Category:Everything else]]<br /> [[Category:Competitions]]</div>

Praosylen https://conwaylife.com/w/index.php?title=Gun&diff=86194 2021-12-20T19:51:05Z

<p>Praosylen: too sick of this to fact-check whether I was really involved</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 guns''', which emit [[glider]]s (the most well-known of which is the [[Gosper glider gun]]); however, guns that emit spaceships of 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&gt;{{cite web|url=http://entropymine.com/jason/life/status.html |title=Game of Life Status page |accessdate=October 15, 2010}}&lt;/ref&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&gt;{{Cite web|url=http://pentadecathlon.com/lifeNews/2010/07/gemini_guns_1.html|title=Gemini guns|author=Adam P. Goucher|date=July 30, 2010|accessdate=October 15, 2010}}&lt;/ref&gt; These are the first guns that shoot obliquely-traveling spaceships and at the 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 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 /> The '''barrel''' of a gun (or rake) is a path along which spaceships travel. The term is most commonly used in the context of the number of barrels a gun or rake possesses, which is the number of distinct spaceship streams emitted by said gun or rake. For example, the [[AK-94]], [[B-52 bomber]] and [[Simkin glider gun]] are said to be '''double-barrelled''' because they produce two streams of gliders. The [[period-256 glider gun]] and [[Gunstar]] and its variants all have four barrels, and [[P94S]] contains 12 barrels. Given a gun with multiple barrels, one can eliminate barrels by simply placing an [[eater 1]] in the path of the unwanted 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 periods greater than 53&lt;ref&gt;{{Cite web|url=https://www.conwaylife.com/ref/lifepage/patterns/bhept/bhept.html|title=My Experience with B-heptominos in Oscillators|author=Dave Buckingham|accessdate=May 14, 2009|date=October 12, 1996}}&lt;/ref&gt; and all composite periods greater than 39. Periods below 39 with known guns are [[Period-20 glider gun|20]], [[Period-21 glider gun|21]], [[True period_22 gun|22]], [[True period 24 gun|24]], [[Period-28 glider gun|28]], [[Gosper glider gun|30]], [[Period-32 glider gun|32]], [[Period-33 glider gun|33]], and [[Period-36 glider gun|36]]. 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&quot;<br /> |-<br /> ! Period<br /> ! Discoverer<br /> ! Year of discovery<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 /> ! [[true_period_22_gun|22]]<br /> | [[David Eppstein]] and [[Jason Summers]]<br /> | {{year|2000}}<br /> |-<br /> ! [[true_period_24_gun|24]]<br /> | Noam Elkies<br /> | {{year|1997}}<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]], [[wwei23]], 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-36 glider gun|36]]<br /> | Jason Summers<br /> | {{year|2004}}<br /> |-<br /> ! [[Period-40 glider gun|40]]<br /> | [[Adam P. Goucher]], Jason Summers, and Matthias Merzenich<br /> | {{year|2013}}<br /> |-<br /> ! [[Period-42 glider gun|42]]<br /> | Tanner Jacobi and David Raucci<br /> | {{year|2021}}<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-48 glider gun|48]]<br /> | Noam Elkies<br /> | {{year|1997}}<br /> |-<br /> ! [[Periodic glider duplicator|49]]<br /> | Tanner Jacobi, [[wwei23]], and [[hotcrystal0]]<br /> | {{year|2021}}<br /> |-<br /> ! [[Period-50 glider gun|50]]<br /> | [[Dean Hickerson]] and Noam Elkies<br /> | {{year|1996}}<br /> |-<br /> ! [[Periodic glider duplicator|51]]<br /> | [[Luka Okanishi]], [[wwei23]], 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 /> ! [[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 /> | [[thunk]], 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 /> ==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&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=11&amp;t=1071|title=Guns in Life-like cellular automata|author=[[Matthias Merzenich]] (Sokwe)|date=April 11, 2013}}&lt;/ref&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 ([[EightLife]])<br /> ** B36/S23 ([[HighLife]])<br /> ** B36/S237<br /> ** B36/S2378<br /> ** B36/S238<br /> ** B368/S23<br /> ** B368/S238 ([[LowDeath]])<br /> ** B37/S23 ([[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 ([[Pedestrian Life]])<br /> ** B38/S237<br /> ** B38/S2378<br /> ** B38/S238 ([[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 ([[EightLife]])<br /> ** B35/S236<br /> ** B358/S236<br /> ** B36/S23 ([[HighLife]])<br /> ** B36/S237<br /> ** B36/S2378<br /> ** B36/S238<br /> ** B368/S23<br /> ** B368/S238 ([[LowDeath]])<br /> ** B36/S245 ([http://www.ics.uci.edu/~eppstein/ca/replicators/b36s245.html Logarithmic replicator rule])<br /> ** B368/S245 ([[Move]])<br /> ** B368/S12578<br /> ** B3678/S34678 ([[Day &amp; Night]])<br /> ** B37/S23 ([[DryLife]])<br /> ** B37/S238<br /> ** B378/S23<br /> ** B378/S238<br /> ** B38/S23 ([[Pedestrian Life]])<br /> ** B38/S237<br /> ** B38/S2378<br /> ** B38/S238 ([[HoneyLife]])<br /> |}<br /> <br /> ==See also==<br /> <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 /> *[[:Category:Guns|List of guns]]<br /> *[[Quetzal]]<br /> <br /> ==References==<br /> &lt;references&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>

Praosylen https://conwaylife.com/w/index.php?title=Apgsearch&diff=86193 2021-12-20T19:50:24Z

<p>Praosylen: </p> <hr /> <div>{{Software<br /> |name = apgsearch<br /> |image = true<br /> |url = https://gitlab.com/apgoucher/apgmera<br /> |purpose = Soup search program<br /> |createdby = [[Adam P. Goucher]]<br /> |platform = Unix; platform-independent<br /> }}<br /> The '''Ash Pattern Generator Search''' program, more commonly known as '''apgsearch''', is an automated search program created by [[Adam P. Goucher]]. It generates [[soup]]s, which by default are asymmetric and 16&amp;times;16, and runs them until stabilization, recording any resulting [[still life]]s, [[oscillator]]s, [[spaceship]]s, periodic linear [[infinite growth]] patterns, and &quot;unusual growth&quot; patterns. More recent versions also detect soups which are long-lived [[methuselah]]s and [[diehard]]s as well as soups with large final populations.{{refn|group=note|Only methuselahs lasting at least 25,000 generations, diehards lasting at least 500 generations, and soups with final populations of at least 3,000 are reported, and only in [[Conway's Game of Life]].}}{{refn|group=note|name=25k|apgsearch estimates the lifespan of each soup before testing it more precisely, and is not guaranteed to detect all methuselahs with a lifespan of less than 26,000 generations.}} Version 1.x and later upload the results to the online database ''[[Catagolue]]'' and have a peer-review process for verifying hauls submitted to the site.<br /> <br /> Versions 4.x and later of apgsearch use a backend known as [[lifelib]] to simulate soups, and can simulate various types of rules and symmetric soups.<br /> <br /> ==Higher symmetries==<br /> {{EmbedViewer<br /> |pname = 112p15<br /> |viewerconfig = #C [[ THEME 6 GRID GRIDMAJOR 0 THUMBLAUNCH AUTOSTART GPS 4 THUMBSIZE 2 WIDTH 480 HEIGHT 480 ]]<br /> |caption = [[112P15]]<br /> }}<br /> {{alsosee|Symmetry}}<br /> In addition to asymmetric (C1) soups, apgsearch can also run various types of symmetric soup searches and submit the data to Catagolue:<br /> <br /> * C2_1, C2_2, C2_4: 180° (two-fold) rotational symmetry<br /> * C4_1, C4_4: 90° (four-fold) rotational symmetry<br /> * D2_+1, D2_+2: reflectional symmetry along an orthogonal line<br /> * D2_x: reflectional symmetry along a diagonal line<br /> * D4_+1, D4_+2, D4_+4: reflectional symmetry along two perpendicular orthogonal lines<br /> * D4_x1, D4_x4: reflectional symmetry along two perpendicular diagonal lines<br /> * D8_1, D8_4: reflectional symmetry along four orthogonal/diagonal through a common center<br /> <br /> Furthermore, the following pseudo-symmetries are used for asymmetric soups of different sizes:<br /> <br /> * 8x32, 4x64, 2x128, 1x256: for 256-cell soups of size 8&amp;times;32, 4&amp;times;64, 2&amp;times;128 and 1&amp;times;256<br /> <br /> 8x32 was one of the initial (pseudo-)symmetries the site handled; support for 4x64, 2x128 and 1x256 was added in August 2017.&lt;ref name=&quot;post48015&quot; /&gt;<br /> <br /> [[File:Inflation.png|right|frame|[[Inflation]] of a toy 4&amp;times;4 soup.]]<br /> All symmetries can be &quot;[[inflation|inflated]]&quot; using the &quot;i&quot; prefix, replacing each cell in the sample soup with a 2&amp;times;2 alignment of cells in the same state and resulting in soups of size e.g. 32&amp;times;32 for iC1 instead of 16&amp;times;16 for C1. Multiple &quot;i&quot; prefixes can be stacked to &quot;inflate&quot; cells to 4&amp;times;4, 8&amp;times;8, etc.&lt;ref name=&quot;post50420&quot; /&gt;<br /> <br /> The 25pct and 75pct pseudo-symmetries were used in the past to investigate soups with initial densities of 0.25 and 0.75 respectively, but they fell into disuse and are not supported by v3.x and above.{{refn|group=note|The 25% pseudo-symmetry was also briefly used but abandoned due to conflicts with percent-encoding for URIs/URLs.}} Other pseudo-symmetries such as 25p, 32x32, 1x256X2+1 etc. have been used, but are not considered standard. apgsearch and Catagolue encourage users to use designated &quot;test&quot; symmetries to test modifications to the client.&lt;ref name=&quot;b3s23_saka_test&quot; /&gt;<br /> <br /> Although various orthogonal and diagonal [[gutter]] symmetries are possible in Conway's Game of Life, apgsearch does not currently have official support for searching with them. However, various users have modified apgsearch in order to search these symmetries and have submitted the results to Catagolue under custom symmetry names. <br /> <br /> ===GPU searching===<br /> As of version 5.x, apgsearch supports soup searching on a GPU using CUDA which, depending on the GPU used, can process soups several times faster than a standard CPU search. The GPU deems soups &quot;interesting&quot; which meet certain criteria, and these are then fully censused by the CPU.{{refn|group=note|A soup is deemed interesting if it fails to stabilize with period 6 within 21,000 generations or reaches the boundary of the finite universe (excluding escaping [[glider]]s and [[standard spaceship]]s) considered by the GPU. Large still lifes, low-period oscillators, and diehards are therefore usually ignored.}} Therefore, the results are uploaded to separate symmetries on Catagolue to avoid distorting the main census statistics, with &lt;tt&gt;C&lt;/tt&gt; and &lt;tt&gt;D&lt;/tt&gt; replaced with &lt;tt&gt;G&lt;/tt&gt; and &lt;tt&gt;H&lt;/tt&gt; respectively.&lt;ref name=&quot;post73557&quot; /&gt; The symmetries currently supported are:<br /> * G1 (counterpart to C1)<br /> * H2_+1, H2_+2 (D2_+1 and D2_+2)&lt;ref name=&quot;post74195&quot; /&gt;<br /> * H4_+1, H4_+2, H4_+4&lt;ref name=&quot;post74276&quot; /&gt;<br /> <br /> Versions 5.061 and above allow GPU searching for any [[outer-totalistic]] rule, but not all of them can be searched easily in practice due to common objects meeting the criteria for &quot;interestingness.&quot;&lt;ref name=&quot;post74195&quot; /&gt;<br /> <br /> ==Notable patterns==<br /> {{EmbedViewer<br /> |pname = richsp16<br /> |viewerconfig = #C [[ THEME 6 GRID GRIDMAJOR 0 THUMBLAUNCH AUTOSTART GPS 4 THUMBSIZE 2 ]]<br /> |caption = [[Rich's p16]]<br /> }}<br /> {{alsosee|Catagolue#Results in Conway's Game of Life}}<br /> A variety of notable [[natural]] and semi-natural (i.e. appearing in symmetric soups) patterns were first discovered using apgsearch:<br /> <br /> * The first known natural occurrence of a nonstandard spaceship was found during alpha testing of the script. The soup, which produced an [[LWSS on HWSS]] 1, was submitted to the conwaylife.com forums on August 26, 2014 by Adam P. Goucher.&lt;ref name=&quot;calcyman20140826&quot; /&gt; Many other nontrivial spaceship [[flotillae]] have since been found.<br /> * The [[pufferfish]] was discovered in the ash of a symmetric soup in November 2014 by [[Richard Schank]].&lt;ref name=&quot;post14510&quot; /&gt;<br /> * The first known natural occurrence of a puffer other than the [[block-laying switch engine|block-laying]] or [[glider-producing switch engine]], a p1152 made from two switch engines dubbed the [[pony express]], was found in September 2015 by [[Apple Bottom]].&lt;ref name=&quot;gameoflifeboy20150928&quot; /&gt;<br /> * [[112P15]] was first discovered in the ash of a symmetric soup in April 2016 by [[thunk]].&lt;ref name=&quot;post29654&quot; /&gt;<br /> * [[Rich's p16]] was first discovered in the ash of a symmetric soup in July 2016 by [[Rich Holmes]].&lt;ref name=&quot;post32766&quot; /&gt;<br /> * [[thunk]]'s discovery of a [[p28 pre-pulsar-shuttle|period 28 pre-pulsar-shuttle variant]] in November 2016 enabled the construction of smaller (in terms of minimum population) [[p26 pre-pulsar-shuttle|period 26]] and period 28 pre-pulsar-shuttles.&lt;ref name=&quot;post37380&quot; /&gt;<br /> * [[34P14.1]] was first discovered in the ash of a symmetric soup in September 2018 by [[carybe]], but was not noticed on Catagolue until October.&lt;ref name=&quot;post64645&quot; /&gt;<br /> * [[68P9]] was first discovered in the ash of a symmetric soup in October 2018 by [[carybe]].&lt;ref name=&quot;post64284&quot; /&gt;<br /> * [[42100M]] was first discovered in October 2018 by [[Dave Greene]], only two days after apgsearch added support for detecting [[methuselah]]s, becoming the longest-lasting known methuselah within a 16&amp;times;16 bounding box at the time.&lt;ref name=&quot;post65218&quot; /&gt; A month later, this was followed by [[Homer]], discovered by Adam P. Goucher and lasting 42883 generations.&lt;ref name=&quot;post66055&quot; /&gt;<br /> * [[Dueling banjos]] was first discovered in the ash of a symmetric soup in January 2019, in a tetramer form by [[Apple Bottom]].&lt;ref name=&quot;post67718&quot; /&gt;<br /> * The record-breaking methuselah [[47575M]] was first discovered in February 2019 by Adam P. Goucher, outlasting Homer by nearly 5000 generations.&lt;ref name=&quot;post70221&quot; /&gt;<br /> * [[Rob's p16]] was first discovered by [[Rob Liston]] in February 2020 via GPU search, becoming the smallest known p16 oscillator and the first asymmetric object discovered by soup search since the 1980s.&lt;ref name=&quot;post89263&quot; /&gt;<br /> * The record-breaking methuselah [[49768M]] was first discovered in April 2020 by Rob Liston, outlasting 47575M by over 2000 generations.&lt;ref name=&quot;post95336&quot; /&gt;<br /> * The record-breaking methuselah [[50093M]] was first discovered in January 2021 by Rob Liston, outlasting 49768M by about 300 generations.&lt;ref name=&quot;post118690&quot; /&gt;<br /> * The record-breaking methuselah [[52513M]] was first discovered in January 2021 by [[Dylan Chen]], outlasting 50093M by over 2000 generations.&lt;ref name=&quot;post119406&quot; /&gt;<br /> <br /> Other rare objects found by apgsearch in asymmetric soups are [[smiley]], [[Achim's p8]], [[Elkies' p5]], [[heart]], [[Silver's p5]], [[phoenix 1]], the [[Coe ship]], the [[LWSS|lightweight]] [[Schick engine]], the [[sidecar]], the [[loafer]], and a [[burloaferimeter]] variant. Sample soups submitted to Catagolue have also led to cheaper glider syntheses for many patterns, including [[tumbler]], [[eater 2]], [[smiley]], and [[unix]]. Additionally, the [[copperhead]] first emerged from a D2_+2 soup in April 2016 only a month after its initial discovery by [[zdr]], followed by several more later in the year.&lt;ref name=&quot;post29637&quot; /&gt;<br /> <br /> ==Other rules==<br /> apgsearch has the ability to run soup searches for various rules other than Conway's Game of Life. In the past, this was restricted to [[outer-totalistic]] rules with two states, but versions v4.x and later have added support for various families of rules over time. However, only non-exploding rules can reasonably be investigated in practice unless a certain symmetry can be assured to never explode.<br /> <br /> As of v4.86, apgsearch officially supports the following types of cellular automata:<br /> *Arbitrary [[Life-like cellular automaton|outer-totalistic]] rules.<br /> *[[Isotropic non-totalistic Life-like cellular automaton|Isotropic non-totalistic]] rules. (in [[Hensel notation]])<br /> *[[Isotropic]] [[von Neumann neighbourhood]] rules. (implicitly by isotropic non-totalistic [[Moore neighbourhood]] rules)<br /> *Higher-range outer totalistic (HROT) rules. (up to range 5)<br /> *[[Larger than Life]] rules. (up to range 7)<br /> *Totalistic and isotropic [[hexagonal neighbourhood]] rules.<br /> *[[Generations]] variants of all rules listed above.<br /> *[[Life-like cellular automaton|Outer-totalistic]] [[rulespace|B0 rules]] with two states. <br /> *[[BSFKL]] rules.<br /> *[[Deficient]] rules.<br /> *[[Extended Generations]] rules.<br /> *Custom [[Golly]] ruletables.<br /> <br /> The [[Moore neighbourhood]] and [[hexagonal neighbourhood]] are the currently the only directly supported neighbourhoods, although the [[von Neumann neighbourhood]] can be indirectly simulated by isotropic Moore rules and the [[Margolus neighbourhood]] (specifically [[block cellular automata]]) can be simulated by inflated soups on specific rules.<br /> <br /> ===Hexagonal symmetries===<br /> Symmetric soups can also be run for rules other than Conway's Game of Life. However, many of the symmetries of the [[Moore neighbourhood]] do not apply to the hexagonal grid, and hexagonal rules must therefore use a separate set of symmetries. As of January 2019, this includes the following:<br /> <br /> * C1, 8x32, 4x64, 2x128: for asymmetric 256-cell soups of size 16&amp;times;16, 8&amp;times;32, 4&amp;times;64, and 2&amp;times;128 respectively<br /> * C2_1, C2_2: 180° (two-fold) rotational symmetry<br /> * C3_1: 120° (three-fold) rotational symmetry<br /> * C6: 60° (six-fold) rotational symmetry<br /> * D2_x, D2_xo, 1x256: reflectional symmetry along a single line<br /> * D4_x1, D4_x4: reflectional symmetry along two perpendicular lines<br /> * D6_1, D6_1o: reflectional symmetry along three lines through a common center<br /> * D12: reflectional symmetry along six lines through a common center<br /> <br /> The symmetries C3_3 and D6_3, as well as various [[gutter]] symmetries, are also possible but have yet to be implemented.&lt;ref name=&quot;post66638&quot; /&gt;<br /> <br /> ==Limitations==<br /> {{alsosee|Catagolue#Limitations}}<br /> <br /> Although apgsearch has bespoke support for [[flotillae]] composed of standard [[spaceship]]s in [[Conway's Life]],{{refn|group=note|This formerly excluded {{LinkCatagolue|xq4_06eeed72zaghgis|patternname=MWSS on HWSS 15|style=raw}} and {{LinkCatagolue|xq4_27deee6zwsighhga|patternname=HWSS on HWSS 10|style=raw}}.&lt;ref name=&quot;post79802&quot; /&gt; The issue has since been fixed, but it means that the frequency statistics for these two spaceships are somewhat skewed.}} it can fail to properly separate larger non-interacting groups, or groups of any size in non-Life rules. [[Pseudo still life]]s composed of many constituent parts may also fail to be separated properly.&lt;ref name=&quot;david20161128&quot; /&gt;<br /> <br /> The maximum period for [[spaceship]]s and [[oscillator]]s is 1,000 in apgsearch 1.x, 4,000 in apgnano (apgsearch 2.x), 1,280 in apgmera (apgsearch 3.x), and 1,048,576 in apgluxe (apgsearch 4.x and 5.x); higher-period objects are classified as &lt;tt&gt;PATHOLOGICAL&lt;/tt&gt;. High-period [[linear-growth pattern]]s may not be identified and instead reported as &lt;tt&gt;zz_LINEAR&lt;/tt&gt;. Additionally, the maximum [[bounding box]] for any spaceship, oscillator or [[still life]] in versions 3.x and before is 40&amp;times;40 due to the limits of the standard apgcode format; larger objects are classified as &lt;tt&gt;ov_&lt;/tt&gt; (oversized) in these versions. <br /> <br /> == Version history ==<br /> ===Python versions===<br /> Two versions of apgsearch, versions 0.x and 1.x, were written in Python for use in [[Golly]].<br /> <br /> ====Version 0.x====<br /> apgsearch v0.x was the initial version of the script, first published on September 8, 2014. When running the script, the user is first prompted to enter the number of soups to be searched, the rule under which to search, and the initial seed for soup generation. The script proceeds to search soups in sets of 100 until either the specified number of soups has been exceeded, or the user stops the search by pressing &lt;nowiki&gt;&lt;q&gt;&lt;/nowiki&gt;. After the search finishes, Golly opens an HTML window which displays the results.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=1443|title=apgsearch: a high-performance soup searcher|author=Adam P. Goucher|date=September 8, 2014|accessdate=June 12, 2016}}&lt;/ref&gt; [[praosylen]] modified this version to allow soup-searching [[non-totalistic Life-like cellular automata]], and made a later modification to allow the results to be uploaded to [[Catagolue]].<br /> <br /> ====Version 1.x====<br /> apgsearch v1.x was first released on February 20, 2015. The main improvements from version 0.x are the ability to search symmetrical soups and the periodic uploading of results to [[Catagolue]].&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=1630|title=apgsearch v1.0|author=Adam P. Goucher|date=February 20, 2015|accessdate=June 12, 2016}}&lt;/ref&gt; apgsearch 1.x supports the following different (pseudo-)[[symmetry|symmetries]]:<br /> <br /> * C1<br /> * C2_1, C2_2, C2_4<br /> * C4_1, C4_4<br /> * D2_+1, D2_+2<br /> * D2_x<br /> * D4_+1, D4_+4<br /> * D4_x1, D4_x4<br /> * D8_1, D8_4<br /> * 8x32<br /> <br /> ===C++ versions===<br /> Four versions of apgsearch, versions 2.x through 5.x, were written in C++. These versions are much faster, and are intended to be run from the command line of a Unix shell.<br /> <br /> ====Version 2.x====<br /> apgsearch v2.x, codenamed ''apgnano'', was first published on July 19, 2015 and released onto the conwaylife.com forums on July 28. It uses a bespoke algorithm called [[Life128]], partially written in assembly language for speed, and can utilize both the SSE2 instruction set on x86_64 CPUs. It can only searches asymmetric (C1) 16&amp;times;16 soups in [[Conway's Game of Life|Conway Life]] (B3/S23).&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=1784|title=apgsearch v2.2|author=Adam P. Goucher|date=July 28, 2015|accessdate=June 12, 2016}}&lt;/ref&gt;<br /> <br /> ====Version 3.x====<br /> apgsearch v3.x, codenamed ''apgmera'', was first published on March 3, 2016 and released onto the conwaylife.com forums on March 19. It uses an algorithm called [[vlife]], and unlike version 2.x, it supports arbitrary outer-totalistic rules, as well as the full range of [[symmetry|symmetries]] from apgsearch 1.1. It can use any of the SSE2, AVX1 and AVX2 instruction sets on x86_64 CPUs.<br /> <br /> Although the main program is written in C++, version 3.x contains a shell script and a Python file to generate assembly code for different rules and symmetries.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=2099|title=apgsearch v3.1|author=Adam P. Goucher|date=March 19, 2016|accessdate=June 12, 2016}}&lt;/ref&gt;<br /> <br /> ====Version 4.x====<br /> apgsearch v4.x, codenamed ''apgluxe'' and based on [[lifelib]], introduced the following features:<br /> <br /> * Support for [[rulespace|B0 rules]].&lt;ref name=&quot;post47849&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/33b54efbf523006ab57c8afda2a1ab3a2c4aa7f0|title=B0 support|author=Adam P. Goucher|date=August 19, 2017|work=GitLab}}&lt;/ref&gt;<br /> * Support for [[Generations]] rules (without B0).&lt;ref name=&quot;post47999&quot; /&gt;<br /> * Cleaner separation of the different algorithmic layers.&lt;ref name=&quot;post48707&quot; /&gt;<br /> * Support for two different containers, based on [[HashLife]] and [[vlife]] respectively.&lt;ref name=&quot;post48707&quot; /&gt;<br /> * Support for 4&amp;times;64, 2&amp;times;128 and 1&amp;times;256 soups.&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/fec0073413419e821709ced2fed9ad623c5c8cd9|title=More symmetries|author=Adam P. Goucher|date=August 11, 2017|work=GitLab}}&lt;/ref&gt;<br /> ** Indirect support for some one-dimensional cellular automata using one-cell-thick soups (for example, b026s1 simulates [http://m.wolframalpha.com/input/?i=rule+2166637080 Wolfram rule 2166637080])<br /> * An 8% increase in speed in [[lifelib]] compared to [[Life128 and vlife|vlife]] in version 3.x.<br /> * Improved object detection, including:<br /> ** Support for extended (&quot;greedy&quot;) [[apgcode]]s<br /> ** Proper detection of oscillator and spaceship periods up to 1,048,576 (2&lt;sup&gt;20&lt;/sup&gt;)&lt;ref name=&quot;classifier_h_l434&quot; /&gt;<br /> <br /> Version 4.1 was released on August 21, 2017, and incorporated another rule family, namely:<br /> <br /> * Support for [[Larger than Life]] rules with a range of up to 7.&lt;ref name=&quot;post47999&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/4b1f33344697d56db32d4aa91b51f680f29f3aa5|title=Larger than Life|author=Adam P. Goucher|date=August 21, 2017|work=GitLab}}&lt;/ref&gt;<br /> * Support for &quot;inflating&quot; soups of arbitrary symmetry (v4.15).&lt;ref name=&quot;post50420&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/b088313d41418c5f994e054aaf18b50abba2660b|title=Inflated symmetries|author=Adam P. Goucher|date=September 2, 2017|work=GitLab}}&lt;/ref&gt;<br /> ** Indirect support for certain [[Margolus]] rules, using said inflated soups alongside rules simulating block cellular automata.<br /> <br /> Version 4.2 was released on September 10, 2017:<br /> <br /> * Support for isotropic [[non-totalistic]] rules.&lt;ref name=&quot;post47849&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/c8399b80b1499eaf25a2813f5ffad447bf1edfaf|title=Supports non-totalistic rules|author=Adam P. Goucher|date=September 10, 2017|work=GitLab}}&lt;/ref&gt;<br /> ** Support for the [[von Neumann neighbourhood]] (implicitly as isotropic rules).&lt;ref name=&quot;post47999&quot; /&gt;<br /> <br /> Version 4.3 was released in June, 2018:<br /> <br /> * Support for [[Larger than Life]] rules with &amp;gt;2 states (i.e. [[Generations]]-LtL rules).&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/f493165b633b22f7f097dfaddd76fb0fc696ab3c|title=LtL Generations|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}&lt;/ref&gt;<br /> * Support for isotropic non-totalistic [[Generations]] rules (v4.32).&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/def0394386b9a5e6feb87bb76a6ffbb12ebff2a5|title=Isotropic Generations|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}&lt;/ref&gt;<br /> * Support for custom backends.&lt;ref name=&quot;post60663&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a42a5da203943de0d5eaa977fc40eb162c1c9c6a|title=Support genera|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}&lt;/ref&gt;<br /> <br /> Version 4.4 was released in June, 2018:<br /> <br /> * General speed improvements:<br /> ** Special backend for [[Conway's Game of Life]] based on a 19-operation circuit by [[Tomas Rokicki]].&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/lifelib/-/commit/320c727054537fdec80551f9966fafa9e793e191|title=Merge branch 'b3s23life' into 'master'|author=Adam P. Goucher|date=June 12, 2018|work=GitLab}}&lt;/ref&gt;<br /> ** Much faster handling of slow 'tail' soups across all rules.<br /> ** Faster oscillator and spaceship classification.<br /> * Reduced memory consumption.&lt;ref name=&quot;post60696&quot; /&gt;<br /> <br /> Version 4.5 was released in August, 2018:<br /> * Detection of [[methuselah]]s lasting longer than 25,000 generations in [[Conway's Game of Life]]. (v4.54)&lt;ref name=&quot;post65133&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/fcef6c005e54e379554b266730b222ffb8849c47|title=Preliminary support for methuselahs|author=Adam P. Goucher|date=October 28, 2018|work=GitLab}}&lt;/ref&gt;{{refn|group=note|name=25k}}<br /> * Support for [[BSFKL]] rules. (v4.56)&lt;ref name=&quot;post65313&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/d83ac8acd4712347e1a688b3399f880df1c84327|title=BSFKL rulespace|author=Adam P. Goucher|date=October 29, 2018|work=GitLab}}&lt;/ref&gt;<br /> <br /> Version 4.6 was released in October, 2018:<br /> * Support for higher-range [[outer-totalistic Life-like cellular automata]], up to a range of 5. (v4.63)&lt;ref name=&quot;post65440&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/662f9a33c9b85b363d84cdb0dfbb14af0914e61c|title=Higher-range outer-totalistic rules|author=Adam P. Goucher|date=November 7, 2018|work=GitLab}}&lt;/ref&gt;<br /> * Support for [[totalistic]], [[isotropic non-totalistic]], and [[Generations]] rules using a [[hexagonal neighbourhood]], though with higher symmetries disabled as they had yet to be redesigned to be compatible with the hexagonal grid. (v4.66)&lt;ref name=&quot;post66090&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a3f3f7eb469f0c0d178e510b72cdc108b8ea8cee|title=Hexagonal rules|author=Adam P. Goucher|date=December 1, 2018|work=GitLab}}&lt;/ref&gt;<br /> * Detection of [[diehard]]s lasting longer than 500 generations in [[Conway's Game of Life]]. (v4.69)&lt;ref name=&quot;post66402&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/15e3f0e6f4dc07a2c62559191b729bf94c2d75cb|title=Detect messless methuselahs|author=Adam P. Goucher|date=December 11, 2018|work=GitLab}}&lt;/ref&gt;<br /> <br /> Version 4.7 was released in December, 2018:<br /> * Support for certain higher symmetries in [[hexagonal neighbourhood]] rules, particularly:<br /> **D2_x and D2_xo.&lt;ref name=&quot;post66627&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/30a9439c2b0b43422d26229473af6d171e01dfec|title=Support two more hexagonal symmetries|author=Adam P. Goucher|date=December 19, 2018|work=GitLab}}&lt;/ref&gt;<br /> **C2_1, C2_4, C3_1, C6, D4_x1, D4_x4, D6_1, D6_1o, and D12. (v4.71)&lt;ref name=&quot;post66638&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/9620c694f6a320553fb5c299abcac57557ca5341|title=More hexagonal symmetries|author=Adam P. Goucher|date=December 20, 2018|work=GitLab}}&lt;/ref&gt;<br /> <br /> Version 4.8 was released in January, 2019:<br /> * Support for custom cellular automata using [[Golly]] rule tables and trees.&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/689faba78cda80a91617c615a4644790f5ee75dc|title=Support for custom rules and neighbourhoods|author=Adam P. Goucher|date=January 9, 2019|work=GitLab}}&lt;/ref&gt;<br /> * Native support for [[Deficient]] and [[Extended Generations]] rules. (v4.83)&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a5812bb36a3f2d40b7fbf630f90546bbf1bf1fe4|title=Native support for Extended Generations and Deficient rules courtesy of M. I. Wright|author=Adam P. Goucher|date=January 15, 2019|work=GitLab}}&lt;/ref&gt;<br /> <br /> Version 4.9 was released in February, 2019:<br /> * Approximate 50% speed improvement for Conway's Game of Life and certain related rules due to detection of escaping [[glider]]s.&lt;ref name=&quot;post69645&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/93782e29a4545f78d3555d0fd18f95546e02a65b|title=Escaping glider detection|author=Adam P. Goucher|date=February 4, 2019|work=GitLab}}&lt;/ref&gt;<br /> <br /> ====Version 5.x====<br /> apgsearch v5.x was first published on March 20, 2019.&lt;ref name=&quot;post73557&quot; /&gt; The salient new features are:<br /> * Improved methodology for splitting work between CPU cores, ensuring threads are not idle.<br /> * Support for soup searching on a GPU using CUDA.&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/bed16580446448398fe158cf758e9e1bd450be1f|title=Working GPU version|author=Adam P. Goucher|date=March 20, 2019|work=GitLab}}&lt;/ref&gt;<br /> * Various refactoring and simplification of the underlying code.<br /> * Detection of 'megasized' [[methuselah]]s with a final population exceeding 3000 in [[Conway's Game of Life]]. (v5.03)&lt;ref name=&quot;post73826&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/2133cb40147cbb7b70f1a5fb4709f8f3b2feb6f7|title=Log soups with final population exceeding 3000 -- thanks to 'testitemqlstudop' for the suggestion|author=Adam P. Goucher|date=March 24, 2019|work=GitLab}}&lt;/ref&gt;<br /> <br /> Version 5.1 was released in April, 2020:<br /> * Improved CUDA implementation, making &lt;tt&gt;b3s23/G1&lt;/tt&gt; searching roughly twice as fast as before.&lt;ref name=&quot;message703393267643056139&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/5dc6bc68b3c57b94c1710ac12c41061f8ddbb7ba|title=Include faster GPU implementation|author=Adam P. Goucher|date=April 24, 2020|work=GitLab}}&lt;/ref&gt;<br /> <br /> ==Upcoming features==<br /> The following features are planned for subsequent releases:<br /> * Support for additional GPU symmetries.<br /> * Support for C3_3 and D6_3 symmetries for the [[hexagonal neighbourhood]].&lt;ref name=&quot;post66638&quot; /&gt;<br /> * Support for searching [[torus|toroidal universes]].&lt;ref name=&quot;post48108&quot; /&gt;<br /> ** May come with a new &quot;mc&quot; pattern class, for [[wick]]s, [[agar]]s and other infinite patterns.<br /> <br /> ==See also==<br /> * [[apgcode]]<br /> * [[Tutorials/Contributing to Catagolue]]<br /> <br /> ==Notes==<br /> &lt;references group=&quot;note&quot; /&gt;<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post47849&quot;&gt;{{LinkForumThread<br /> |p = 47849<br /> |format = ref<br /> |title = Re: apgsearch v3.1<br /> |author = Adam P. Goucher<br /> |date = August 3, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post47999&quot;&gt;{{LinkForumThread<br /> |p = 47999<br /> |format = ref<br /> |title = Re: apgsearch v3.1<br /> |author = Adam P. Goucher<br /> |date = August 4, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post48707&quot;&gt;{{LinkForumThread<br /> |p = 48707<br /> |format = ref<br /> |title = Re: Extending apgcodes to larger patterns<br /> |author = Adam P. Goucher<br /> |date = August 13, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post65133&quot;&gt;{{LinkForumThread<br /> |p = 65133<br /> |format = ref<br /> |author = Adam P. Goucher<br /> |date = October 28, 2018<br /> |title = Re: apgsearch 4.0<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post48108&quot;&gt;{{LinkForumThread<br /> |p = 48108<br /> |format = ref<br /> |title = Re: Hacking apgsearch<br /> |author = Adam P. Goucher<br /> |date = August 5, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post50420&quot;&gt;{{LinkForumThread<br /> |p = 50420<br /> |format = ref<br /> |author = Adam P. Goucher<br /> |date = September 2, 2017<br /> |title = Re: apgsearch v4.0<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post60663&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 60663<br /> |author = Adam P. Goucher<br /> |date = June 3, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post60696&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 60696<br /> |author = Adam P. Goucher<br /> |date = June 4, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post65313&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 65313<br /> |author = Apple Bottom<br /> |date = 2018-11-03<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post65440&quot;&gt;{{LinkForumThread<br /> |p = 65440<br /> |format = ref<br /> |author = Adam P. Goucher<br /> |date = November 6, 2018<br /> |title = Re: Thread for basic non-CGOL questions<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66090&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Non-totalistic hex rules<br /> |p = 66090<br /> |author = Adam P. Goucher<br /> |date = December 1, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66402&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 66402<br /> |author = Ian07<br /> |date = December 11, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66627&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 66627<br /> |author = Adam P. Goucher<br /> |date = December 19, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66638&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 66638<br /> |author = Adam P. Goucher<br /> |date = December 20, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post79802&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread for basic questions<br /> |p = 79802<br /> |author = Adam P. Goucher<br /> |date = July 18, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;david20161128&quot;&gt;{{cite web<br /> |url = https://conwaylife.com/forums/viewtopic.php?p=37724#p37724<br /> |author = Bag Sinhwan (박신환)<br /> |work = ConwayLife.com forums<br /> |title = Re: Soup search results<br /> |date = November 28, 2016<br /> |accessdate = November 28, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post48015&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Hacking apgsearch<br /> |p = 48015<br /> |author = Adam P. Goucher<br /> |date = August 4, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;b3s23_saka_test&quot;&gt;{{cite web<br /> |url = https://catagolue.hatsya.com/census/b3s23/Saka_Test<br /> |work = Catagolue<br /> |title = Census results for B3/S23/&quot;Saka_Test&quot;<br /> |accessdate = December 21, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;calcyman20140826&quot;&gt;{{cite web<br /> |url = https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=279&amp;p=12984#p12984<br /> |author = Adam P. Goucher<br /> |date = August 26, 2014<br /> |work = ConwayLife.com forums<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |accessdate = June 12, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post14510&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = Richard Schank<br /> |date = November 24, 2014<br /> |accessdate = November 16, 2018<br /> |title = Re: Soup search results<br /> |p = 14510<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;gameoflifeboy20150928&quot;&gt;{{cite web<br /> |url = https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1452&amp;p=23050#p23050<br /> |author = gameoflifeboy<br /> |work = ConwayLife.com forums<br /> |title = Re: Soup search results<br /> |date = September 28, 2015<br /> |accessdate = June 12, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post29637&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = Apple Bottom<br /> |date = April 4, 2016<br /> |accessdate = November 16, 2018<br /> |title = Re: Soup search results<br /> |p = 29637<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post29654&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = thunk<br /> |date = April 5, 2016<br /> |accessdate = November 16, 2018<br /> |title = Re: Soup search results<br /> |p = 29654<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post32766&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |author = Ivan Fomichev<br /> |date = July 5, 2016<br /> |accessdate = November 16, 2018<br /> |p = 32766<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post37380&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |author = Apple Bottom<br /> |date = November 17, 2016<br /> |accessdate = November 16, 2018<br /> |p = 37380<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post64645&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |author = praosylen<br /> |date = October 11, 2018<br /> |accessdate = November 16, 2018<br /> |p = 64645<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post64284&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |author = praosylen<br /> |date = October 2, 2018<br /> |accessdate = November 16, 2018<br /> |p = 64284<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post65218&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = Ian07<br /> |date = October 31, 2018<br /> |p = 65218<br /> |title = Re: Soup search results<br /> |accessdate = November 3, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66055&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = Adam P. Goucher<br /> |date = November 30, 2018<br /> |p = 66055<br /> |title = Re: Soup search results<br /> |accessdate = December 3, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post67718&quot;&gt;{{LinkForumThread<br /> |p = 67718<br /> |title = Re: Oscillator Discussion Thread<br /> |author = Matthias Merzenich<br /> |format = ref<br /> |date = January 11, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post70221&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = Ian07<br /> |date = February 10, 2019<br /> |p = 70221<br /> |title = Re: Soup search results<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post89263&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 89263<br /> |author = Matthias Merzenich<br /> |date = February 10, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post95336&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = Ian07<br /> |date = April 23, 2020<br /> |p = 95336<br /> |title = Re: Soup search results<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post118690&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = Ian07<br /> |date = January 9, 2021<br /> |p = 118690<br /> |title = Re: Soup search results<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post119406&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = creeperman7002<br /> |date = January 17, 2021<br /> |p = 119406<br /> |title = Re: Soup search results<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post73557&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |author = Adam P. Goucher<br /> |date = March 20, 2019<br /> |p = 73557<br /> |title = apgsearch v5.0<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;classifier_h_l434&quot;&gt;<br /> [[lifelib]] v1.22, [https://gitlab.com/apgoucher/lifelib/blob/master/classifier.h#L434 classifier.h line 434]<br /> &lt;/ref&gt;<br /> &lt;ref name=&quot;post69645&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.9<br /> |p = 69645<br /> |author = Adam P. Goucher<br /> |date = February 4, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post73826&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v5.0<br /> |p = 73826<br /> |author = Adam P. Goucher<br /> |date = March 24, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post74195&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v5.0<br /> |p = 74195<br /> |author = Adam P. Goucher<br /> |date = March 30, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post74276&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v5.0<br /> |p = 74276<br /> |author = Arie Paap<br /> |date = April 1, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message703393267643056139&quot;&gt;{{CiteDiscord<br /> |author = Adam P. Goucher<br /> |date = April 24, 2020<br /> |channel = tools<br /> |id = 703393267643056139<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> * [https://catagolue.hatsya.com/home About - Catagolue]<br /> * [https://catagolue.hatsya.com/apgsearch apgsearch - Catagolue] (contains links to both v5.x and v1.x)<br /> {{LinkLexicon|lex_a.htm#apgsearch|name=apgsearch}}<br /> <br /> ===Code repositories===<br /> * [https://gitlab.com/apgoucher/apgmera apgmera (apgsearch 3.x) / apgluxe (apgsearch 4.x / 5.x) code repository]<br /> * [https://gitlab.com/apgoucher/lifelib lifelib code repository]<br /> * [https://gitlab.com/apgoucher/catagolue Catagolue code repository]<br /> <br /> ===Forum threads===<br /> {{LinkForumThread|f=7|t=3911|title=apgsearch v5.0}}<br /> {{LinkForumThread|f=7|t=3049|title=apgsearch v4.0}}<br /> {{LinkForumThread|f=7|t=2099|title=apgsearch v3.1}}<br /> {{LinkForumThread|f=7|t=1784|title=apgsearch v2.2}}<br /> {{LinkForumThread|f=7|t=1630|title=apgsearch v1.0}}<br /> {{LinkForumThread|f=7|t=1443|title=apgsearch: a high-performance soup searcher}} (original discussion thread)<br /> {{LinkForumThread|f=9|t=1480|title=Hacking apgsearch}}<br /> {{LinkForumThread|f=2|t=1452|title=Soup search results}}<br /> <br /> {{CatagolueNavbox}}<br /> {{GollyNavbox}}<br /> <br /> [[Category:Censuses]]<br /> {{DISPLAYTITLE:apgsearch}}</div>

Praosylen https://conwaylife.com/w/index.php?title=Barberpole&diff=86188 2021-12-20T19:49:05Z

<p>Praosylen: also, like, is there a source for the &quot;ethyl&quot;/&quot;propyl&quot;/&quot;butyl&quot; descriptors? I&#039;ve literally never seen them used, and it seems an awful lot like the kind of unofficial terminology somebody would just decide to add without consulting anyone</p> <hr /> <div>{{Glossary}}<br /> A '''barberpole''' is any {{period|2}} [[oscillator]] in the infinite sequence [[bipole]], [[tripole]], [[quadpole]], pentapole, hexapole, heptapole, etc.<br /> <br /> {{EmbedViewer<br /> |pname = barberpoles<br /> |position = center<br /> |viewerconfig = #C [[ THUMBSIZE 2 WIDTH 1200 AUTOSTART GPS 15 ]]<br /> |caption = barberpoles&lt;br/&gt;<br /> }}<br /> <br /> A barberpole of order ''n'' (where n is the number of cells that move, an integer ≥ 2) has 6+n cells (6 of which are its [[stator]], n of which are its [[rotor]]), a square [[bounding box]] with side length 2n+1, [[heat]] 2n, and [[volatility]] n/(n+3). The monopole cannot exist in regular Life due to the would-be alternating cell having 2 neighbours, allowing it to survive to evolve into a [[long ship]].<br /> <br /> This sequence of oscillators was found by the MIT group in {{year|1970}}.&lt;ref&gt;{{CiteHickersonOscillators|accessdate=March 14, 2020}}&lt;/ref&gt; The term is also used (usually in the form &quot;barber pole&quot;) to describe other extensible sections of oscillators or spaceships, especially those (usually of period 2) in which all generations look alike except for a translation and/or rotation/reflection. Any barberpole can be lengthened by the reaction shown in [[barbershop]].<br /> <br /> {|class=&quot;wikitable&quot; <br /> <br /> !barberpole !! style=&quot;white-space:nowrap&quot;|order&lt;br/&gt;population&lt;br&gt;bounding box!! glider synthesis !! commonness&lt;br&gt;per [[Achim Flammenkamp's census]]&lt;ref&gt;{{citeAchim|accessdate=January 15, 2009}}&lt;/ref&gt; !! notes<br /> |-<br /> | {{EmbedViewer|pname=bipole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Bipole]]''' (Ethyl)&lt;br&gt; |apgcode=xp2_31ago}} ||style=&quot;text-align:center&quot;| 2&lt;br/&gt;8&lt;br/&gt;5&amp;times;5 || 5 gliders (Catagolue) || Seventh most common naturally-occurring oscillator. ||<br /> |-<br /> | {{EmbedViewer|pname=tripole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Tripole]]''' (Propyl)&lt;br&gt; |apgcode=xp2_g0k053z11}} ||style=&quot;text-align:center&quot;| 3&lt;br/&gt;9&lt;br&gt;6&amp;times;6 || Martin Grant improved the previous 7-glider synthesis to 6 gliders on June 23, 2017.&lt;ref name=&quot;post45062&quot; /&gt; [[goldenratio]] found a {{gliders|5}} [[synthesis]] in September {{year|2020}}.&lt;ref name=&quot;post104637&quot; /&gt; || Fourteenth most common naturally-occurring oscillator. However, in &quot;D2_x&quot;, &quot;D4_x&quot;, and &quot;D8&quot; [[symmetries]], the tripole is more more common than both the bipole and quadpole due to it having reflectional rather than rotational symmetry. ||<br /> |-<br /> | {{EmbedViewer|pname=quadpole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Quadpole]]''' (Butyl)&lt;br&gt; |apgcode=xp2_0g0k053z32}} ||style=&quot;text-align:center&quot;| 4&lt;br/&gt;10&lt;br&gt;7&amp;times;7 || 5 gliders (Catagolue) || Eighth most common naturally-occurring oscillator. Despite behaving the same in Conway's Game of Life as they do in [[HighLife]], they are only about 2% as common in HighLife because the ship is not stable, preventing the reaction on the right from occurring. || {{EmbedViewer|pname= quadpolegenerator ||viewerconfig = #C [[ THUMBSIZE 3 GPS 2 LOOP 10 PAUSE 3 AUTOSTART ]]|caption = Most common way by far for quadpole to form is by a &lt;br&gt;century predecessor colliding with a ship&lt;br/&gt; |position=center<br /> }}<br /> |-<br /> | {{EmbedViewer|pname=pentapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Pentapole'''&lt;br&gt; |apgcode=xp2_wg0k053z642}} ||style=&quot;text-align:center&quot;| 5&lt;br/&gt;11&lt;br&gt;8&amp;times;8 || 9 gliders (Catagolue) || || First appeared naturally on March 31, 2015 in a soup submitted to Catagolue by [[David S. Miller]].&lt;ref name=&quot;post18447&quot; /&gt;<br /> |-<br /> | {{EmbedViewer|pname=hexapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Hexapole'''&lt;br&gt; |apgcode=xp2_xg0k053zca02}} ||style=&quot;text-align:center&quot;| 6&lt;br/&gt;12&lt;br&gt;9&amp;times;9 || 8 gliders (Catagolue) || || First appeared naturally on April 16, 2015 in a soup submitted to Catagolue by [[Brett Berger]].&lt;ref name=&quot;post18734&quot; /&gt;<br /> |-<br /> | {{EmbedViewer|pname=heptapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Heptapole''' (septapole)&lt;br&gt; |apgcode=xp2_31a08zy01050ko}} ||style=&quot;text-align:center&quot;| 7&lt;br/&gt;13&lt;br&gt;10&amp;times;10 || 12 gliders (Catagolue) || || First known appearance was on January 26, 2015 in a symmetric soup found by [[gameoflifeboy]] using apgsearch.&lt;ref name=&quot;post16273&quot; /&gt; It first appeared naturally on December 11, 2018 in a haul submitted to Catagolue, making it the longest barberpole and the last [[:Category:Periodic objects with minimum population 13|13-bit periodic object]] to have emerged naturally.&lt;ref name=&quot;post66400&quot; /&gt;<br /> |-<br /> | {{EmbedViewer|pname=octapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Octapole'''&lt;br&gt; |apgcode=xp2_y1g0k053zg80a02z11}} ||style=&quot;text-align:center&quot;| 8&lt;br/&gt;14&lt;br&gt;11&amp;times;11 || [[Goldtiger997]] found a {{gliders|12}} [[synthesis]] based on a symmetric sample soup from Catagolue on April 22, {{year|2017}}.&lt;ref name=&quot;goldtiger997_20170422&quot; /&gt; || || Along with [[14P2.4]], it is one of two periodic 14-bit objects which have shown up on Catagolue in an asymmetric soup.{{citation needed}}<br /> |-<br /> | {{EmbedViewer|pname=nonapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Nonapole''' (enneapole)&lt;br&gt; |apgcode=xp2_y2g0k053zw80a02z321}} ||style=&quot;text-align:center&quot;| 9&lt;br/&gt;15&lt;br&gt;12&amp;times;12 || 16 gliders (Catagolue) || ||<br /> |-<br /> | {{EmbedViewer|pname=decapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Decapole'''&lt;br&gt; |apgcode=xp2_y3g0k053zx80a02z6501}} ||style=&quot;text-align:center&quot;| 10&lt;br/&gt;16&lt;br&gt;13&amp;times;13 || [[Goldtiger997]] found a 14-glider synthesis based on a sample soup from Catagolue on April 22, 2017.&lt;ref name=&quot;goldtiger997_20170422&quot; /&gt; [[GUYTU6J]] reduced this to 12 on September 29, 2021.&lt;ref name=&quot;guytu6j_20210929&quot; /&gt; || ||<br /> |-<br /> | {{EmbedViewer|pname=undecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Undecapole'''&lt;br&gt; |apgcode=xp2_y580a13zxg0k0501zca02}} ||style=&quot;text-align:center&quot;| 11&lt;br/&gt;17&lt;br&gt;14&amp;times;14 || 16 gliders (Catagolue) || ||<br /> |-<br /> | {{EmbedViewer|pname=duodecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Duodecapole'''&lt;br&gt; |apgcode=xp2_31a08zy01050k0gzy620ago}} ||style=&quot;text-align:center&quot;| 12&lt;br/&gt;18&lt;br&gt;15&amp;times;15 || 20 gliders (Catagolue) || ||<br /> |-<br /> | {{EmbedViewer|pname=tredecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Tredecapole''' (tridecapole)&lt;br&gt; |apgcode=xp2_y6g0k053zy280a02zg0k0501z11}} ||style=&quot;text-align:center&quot;| 13&lt;br/&gt;19&lt;br&gt;16&amp;times;16 || 24 gliders (Catagolue) || || The largest barberpole so far to have occurred semi-naturally.{{citation needed}}<br /> |-<br /> | {{EmbedViewer|pname=quattuordecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Quattuordecapole'''&lt;br&gt; |apgcode=xp2_y7g0k053zy380a02z0g0k0501z32}} ||style=&quot;text-align:center&quot;| 14&lt;br/&gt;20&lt;br&gt;17&amp;times;17 || 28 gliders (Catagolue) || ||<br /> |-<br /> | {{EmbedViewer|pname=quindecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Quindecapole'''&lt;br&gt; |apgcode=xp2_y8g0k053zy480a02zwg0k0501z642}} ||style=&quot;text-align:center&quot;| 15&lt;br&gt;21&lt;br&gt;18&amp;times;18 || 32 gliders (Catagolue) || ||<br /> |-<br /> <br /> |}<br /> <br /> ==See also==<br /> *[[Pseudo-barberpole]]<br /> *[[Barbershop]]<br /> *[[:Category:Barberpole variants|List of barberpole variants]] (includes oscillators using barberpoles as components, as well as other related patterns)<br /> <br /> ==References==<br /> &lt;references&gt;<br /> <br /> &lt;ref name=&quot;post45062&quot;&gt;{{cite web<br /> |url = https://www.conwaylife.com/forums/viewtopic.php?p=45062#p45062<br /> |title = Re: Synthesising Oscillators<br /> |author = Extremeenthusiast<br /> |work = ConwayLife.com forums<br /> |date = June 23, 2017<br /> |accessdate = June 24, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post104637&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Randomly enumerating glider syntheses<br /> |p = 104637<br /> |author = Ian07<br /> |date = September 21, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post18447&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 18447<br /> |author = gameoflifeboy<br /> |date = April 1, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post18734&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 18734<br /> |author = praosylen<br /> |date = April 16, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post16273&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 16273<br /> |author = gameoflifeboy<br /> |date = January 26, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66400&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 66400<br /> |author = Billabob<br /> |date = December 11, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;goldtiger997_20170422&quot;&gt;{{cite web<br /> |url = https://www.conwaylife.com/forums/viewtopic.php?p=42858#p42858<br /> |title = Temp: to Soup Search Results<br /> |author = Goldtiger997<br /> |date = April 22, 2017<br /> |accessdate = April 23, 2017<br /> |work = ConwayLife.com forums<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;guytu6j_20210929&quot;&gt;{{cite web<br /> |url = https://www.conwaylife.com/forums/viewtopic.php?p=136145#p136145<br /> |title = Synthesizing Oscillators<br /> |author = GUYTU6J<br /> |date = September 29, 2021<br /> |accessdate = September 29, 2021<br /> |work = ConwayLife.com forums<br /> }}&lt;/ref&gt;<br /> <br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_b.htm#barberpole}}</div>

Praosylen https://conwaylife.com/w/index.php?title=History_of_Catagolue&diff=86187 2021-12-20T19:46:29Z

<p>Praosylen: </p> <hr /> <div>The following is an overview of the '''history of Adam P. Goucher's [[Catagolue]]'''.<br /> <br /> ==2015==<br /> * February 20: Catagolue becomes operative.&lt;ref name=&quot;post17038&quot; /&gt;<br /> * April 24: the B3/S23/C1 census reaches a total of one trillion objects.&lt;ref name=&quot;post18988&quot; /&gt;<br /> * September 2: the B3/S23/C1 census reaches a total of ten trillion objects.<br /> * September 16: the [[pony express]], the first natural [[infinite-growth pattern]] other than the [[block-laying switch engine]] and [[glider-producing switch engine]] is found in a soup.&lt;ref name=&quot;ponyexpress1&quot; /&gt; After being initially rejected by Catagolue, the containing haul is recomputed and manually committed on September 28.&lt;ref name=&quot;ponyexpress2&quot; /&gt;<br /> * September 24: Catagolue supports the generation of backups, including daily backups for the C1 symmetry of [[Conway's Game of Life]].&lt;ref name=&quot;post22956&quot; /&gt;<br /> * October 5: the first instance of [[Phoenix 1]], the last remaining unseen 12-bit object, is found.&lt;ref name=&quot;catagolue20151005&quot; /&gt;<br /> * October 21: the B3/S23/C1 census reaches a total of twenty trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2015-10-22|title=Census|accessdate=October 22, 2015}}&lt;/ref&gt;<br /> * October 27: the B3/S23/C1 census reaches a total of one trillion soups.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2015-10-27|title=Census|accessdate=October 27, 2015}}&lt;/ref&gt;<br /> <br /> ==2016==<br /> * January 25: [[praosylen]] releases a hacked version of [[apgsearch]] v0.54 which can search [[isotropic non-totalistic Life-like cellular automata]] rules and upload the results to Catagolue.&lt;ref name=&quot;post27013&quot; /&gt;<br /> * February 20: the B3/S23/C1 census reaches a total of 50 trillion objects exactly one year after Catagolue was launched.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2016-02-21|title=Census|accessdate=February 21, 2016}}&lt;/ref&gt;<br /> * June 20: the B3/S23/C1 census reaches a total of 100 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2016-06-21|title=Census|accessdate=June 21, 2016}}&lt;/ref&gt;<br /> * July 5: a new {{period|16}} [[oscillator]], [[Rich's p16]], is discovered in the ash of a [[symmetry|D2_+1]] soup.&lt;ref name=&quot;post32766&quot; /&gt;<br /> * July 6: the B3/S23/C1 census reaches a total of 5 trillion soups.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2016-07-06|title=Census|accessdate=July 6, 2016}}&lt;/ref&gt;<br /> * August 12: a 56-bit [[still life]], the [[cloverleaf interchange]], is found in the B3/S23/C1 census, making it the largest still life to appear naturally.&lt;ref name=&quot;post34242&quot; /&gt;<br /> * August 22: the B3/S23/C1 census reaches a total of 100,000 distinct objects.&lt;ref name=&quot;post34623&quot; /&gt;<br /> * September 4: the B3/S23/C1 census reaches a total of 150 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2016-09-04|title=Census|accessdate=September 4, 2016}}&lt;/ref&gt;<br /> * September 20: [[Symmetry|D2_+2]] becomes the first [[Conway's Game of Life|B3/S23]] symmetry other than C1 to reach 1 trillion objects.<br /> <br /> ==2017==<br /> * January 13: Catagolue starts collecting [[slow salvo]] data using the SS pseudo-symmetry.<br /> * March 15: B38/S23/C1 ([[Pedestrian Life]]) becomes the first rule/symmetry other than B3/S23/C1 to reach 10 trillion objects.<br /> * May 16: the B3/S23/C1 census reaches a total of 200 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2017-05-16|title=Census|accessdate=May 16, 2017}}&lt;/ref&gt;<br /> * August 19: Catagolue gains the ability to census [[Generations]] and [[Birth on zero neighbours|B0]] rules, fed by [[apgsearch]] 4.0.&lt;ref name=&quot;post49184&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/33b54efbf523006ab57c8afda2a1ab3a2c4aa7f0|title=B0 support|author=Adam P. Goucher|date=August 19, 2017|work=GitLab}}&lt;/ref&gt;<br /> * August 21: Catagolue gains the ability to census [[Larger than Life]] rules, fed by [[apgsearch]] 4.1.&lt;ref name=&quot;post49541&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/4b1f33344697d56db32d4aa91b51f680f29f3aa5|title=Larger than Life|author=Adam P. Goucher|date=August 21, 2017|work=GitLab}}&lt;/ref&gt;<br /> * September 10: Catagolue gains official support for [[isotropic non-totalistic Life-like cellular automata|isotropic non-totalistic]] rules, fed by [[apgsearch]] 4.2.&lt;ref name=&quot;post50771&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/c8399b80b1499eaf25a2813f5ffad447bf1edfaf|title=Supports non-totalistic rules|author=Adam P. Goucher|date=September 10, 2017|work=GitLab}}&lt;/ref&gt; Previously, these rules required a hacked version of the original apgsearch [[Golly]] script.<br /> <br /> ==2018==<br /> * June 3: Catagolue gains the ability to census [[Generations]] variants of [[Larger than Life]] and [[isotropic non-totalistic Life-like cellular automata|isotropic non-totalistic]] rules, fed by [[apgsearch]] 4.3.&lt;ref name=&quot;post60663&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/f493165b633b22f7f097dfaddd76fb0fc696ab3c|title=LtL Generations|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}&lt;/ref&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/def0394386b9a5e6feb87bb76a6ffbb12ebff2a5|title=Isotropic Generations|author=Adam P. Goucher|date=June 3, 2018|work=GitLab}}&lt;/ref&gt;<br /> * October 28: Catagolue starts collecting data on [[methuselah|long-lived patterns]], fed by [[apgsearch]] 4.54.&lt;ref name=&quot;post65133&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/fcef6c005e54e379554b266730b222ffb8849c47|title=Preliminary support for methuselahs|author=Adam P. Goucher|date=October 28, 2018|work=GitLab}}&lt;/ref&gt;<br /> * October 29: Catagolue gains the ability to census [[BSFKL]] rules, fed by [[apgsearch]] 4.56.&lt;ref name=&quot;post65313&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/d83ac8acd4712347e1a688b3399f880df1c84327|title=BSFKL rulespace|author=Adam P. Goucher|date=October 29, 2018|work=GitLab}}&lt;/ref&gt;<br /> * November 7: Catagolue gains the ability to census higher-range totalistic [[Life-like cellular automata]], fed by [[apgsearch]] 4.63.&lt;ref name=&quot;post65439&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/662f9a33c9b85b363d84cdb0dfbb14af0914e61c|title=Higher-range outer-totalistic rules|author=Adam P. Goucher|date=November 7, 2018|work=GitLab}}&lt;/ref&gt;<br /> * November 29: the B3/S23/C1 census reaches a total of 250 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2018-11-29|title=Census|accessdate=November 29, 2018}}&lt;/ref&gt;<br /> * December 1: Catagolue gains the ability to census isotropic [[hexagonal neighborhood]] rules, fed by [[apgsearch]] 4.66; only C1, 1x256, 2x128, 4x64 and 8x32 were initially supported, not higher symmetries, as these were incompatible with the hexagonal neighbourhood.&lt;ref name=&quot;post66090&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a3f3f7eb469f0c0d178e510b72cdc108b8ea8cee|title=Hexagonal rules|author=Adam P. Goucher|date=December 1, 2018|work=GitLab}}&lt;/ref&gt; Later, support for all [[Symmetry#Hexagonal-grid_and_triangular-grid_symmetries|hexagonal symmetries]] except for C3_3 and D6_3 was added.&lt;ref name=&quot;post66627&quot; /&gt;&lt;ref name=&quot;post66638&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/30a9439c2b0b43422d26229473af6d171e01dfec|title=Support two more hexagonal symmetries|author=Adam P. Goucher|date=December 19, 2018|work=GitLab}}&lt;/ref&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/9620c694f6a320553fb5c299abcac57557ca5341|title=More hexagonal symmetries|author=Adam P. Goucher|date=December 20, 2018|work=GitLab}}&lt;/ref&gt;<br /> * December 11: the first instance of the [[heptapole]], the last remaining unseen 13-bit object, is found.&lt;ref name=&quot;post66400&quot; /&gt;<br /> * December 11: Catagolue starts collecting data on [[diehard]]s, fed by [[apgsearch]] 4.69.&lt;ref name=&quot;post66402&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/15e3f0e6f4dc07a2c62559191b729bf94c2d75cb|title=Detect messless methuselahs|author=Adam P. Goucher|date=December 11, 2018|work=GitLab}}&lt;/ref&gt;<br /> * December 12: Catagolue supports [https://en.wikipedia.org/wiki/Gzip gzip] compression of certain tabulations.&lt;ref name=&quot;post66417&quot; /&gt;<br /> * December 26: The source code for Catagolue is released under an MIT licence.&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/68c3581955aefc96763aa604ab05a7128ae8be37|title=MIT licence|author=Adam P. Goucher|date=December 26, 2018|work=GitLab}}&lt;/ref&gt;<br /> <br /> ==2019==<br /> * January 3: the B3/S23/C1 census reaches a total of 300 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2019-01-03|title=Census|accessdate=January 3, 2019}}&lt;/ref&gt;<br /> * January 9: Catagolue gains the ability to census [[Golly]] rule tables and rule trees, fed by [[apgsearch]] 4.8.&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/689faba78cda80a91617c615a4644790f5ee75dc|title=Support for custom rules and neighbourhoods|author=Adam P. Goucher|date=January 9, 2019|work=GitLab}}&lt;/ref&gt;<br /> * January 15: Catagolue gains native support for [[Deficient]] and [[Extended Generations]] rules, fed by [[apgsearch]] 4.83.&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/a5812bb36a3f2d40b7fbf630f90546bbf1bf1fe4|title=Native support for Extended Generations and Deficient rules courtesy of M. I. Wright|author=Adam P. Goucher|date=January 15, 2019|work=GitLab}}&lt;/ref&gt;<br /> * February 12: a [[Schick engine]] first appears naturally in an asymmetric soup.&lt;ref name=&quot;post70479&quot; /&gt;<br /> * March 3: a [[figure eight on pentadecathlon]] first appears in an asymmetric [[soup]],&lt;ref name=&quot;post72438&quot; /&gt; making it the highest period oscillator to have occurred [[natural]]ly.&lt;ref&gt;{{citeCatagolueStats|March 3, 2019}}&lt;/ref&gt;<br /> * March 24: Catagolue starts collecting data on soups with large final populations, fed by [[apgsearch]] 5.03.&lt;ref name=&quot;post73826&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/apgmera/-/commit/2133cb40147cbb7b70f1a5fb4709f8f3b2feb6f7|title=Log soups with final population exceeding 3000 -- thanks to 'testitemqlstudop' for the suggestion|author=Adam P. Goucher|date=March 24, 2019|work=GitLab}}&lt;/ref&gt;<br /> * March 27: the first instance of long&lt;sup&gt;4&lt;/sup&gt; [[melusine]], the last remaining unseen 14-bit [[still life]], is found.&lt;ref name=&quot;post74007&quot; /&gt;<br /> * March 31: the B3/S23/C1 census reaches a total of one million submitted hauls.&lt;ref name=&quot;message561987442719064076&quot; /&gt;&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2019-04-01|title=Census|accessdate=April 1, 2019}}&lt;/ref&gt;<br /> * April 12: Catagolue starts collecting data about glider syntheses from [[Shinjuku]].&lt;ref name=&quot;message566317445766316042&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/f3b4ab346fc7e66f5626f754544ae31f72c83ee2|title=Potentially allow Catagolue to receive syntheses|author=Adam P. Goucher|date=April 12, 2019|work=GitLab}}&lt;/ref&gt;<br /> * April 14: the B3/S23/C1 census reaches a total of 400 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2019-04-14|title=Census|accessdate=April 14, 2019}}&lt;/ref&gt;&lt;ref name=&quot;message566975532382552064&quot; /&gt;<br /> * May 1: the [[glider synthesis]] submission box is added, allowing users to submit syntheses which are automatically parsed during the Catagolue update process.&lt;ref name=&quot;message573177771186978822&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/e7f249b12652f0f5796bc48c0ee0f0c49f5c0ee3|title=RLE post box|author=Adam P. Goucher|date=May 1, 2019|work=GitLab}}&lt;/ref&gt;<br /> * May 12: a GPU-powered apgsearch instance finds a natural [[sidecar]] in an asymmetric 16&amp;times;16 soup.&lt;ref name=&quot;post76084&quot; /&gt;<br /> * September 9: the 17-in-17 [[glider synthesis]] project is completed, using Catagolue's synthesis tabulations for bookkeeping.&lt;ref name=&quot;post82560&quot; /&gt;<br /> * October 9: the 18-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.&lt;ref name=&quot;post83979&quot; /&gt;<br /> * December 18: the B3/S23/C1 census reaches a total of 500 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2019-12-18|title=Census|accessdate=December 18, 2019}}&lt;/ref&gt;<br /> * December 27: [https://catagolue.hatsya.com/census/b2c3aei4ajnr5acns2-ci3-ck4in5jkq6c7c/C1 X3VI] becomes the first [[isotropic non-totalistic]] rule to officially reach 1 trillion objects.&lt;ref name=&quot;message660263777786265619&quot; /&gt;<br /> <br /> ==2020==<br /> * February 8: the 19-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.&lt;ref name=&quot;post89061&quot; /&gt;<br /> * February 9: [[Rob's p16]] appears in the B3/S23/G1 census, marking Catagolue's first discovery of a new oscillator [[rotor]] from asymmetric soup as well as the first period 16 oscillator arising from asymmetry.&lt;ref&gt;{{CiteCatagolue|page=haul/b3s23/G1/477c29ce65dab871f2889810e344bece|title=Haul|accessdate=February 10, 2020}}&lt;/ref&gt;&lt;ref name=&quot;post89261&quot; /&gt;<br /> * February 11: the B3/S23/C1 census reaches a total of 600 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2020-02-11|title=Census|accessdate=February 11, 2020}}&lt;/ref&gt;<br /> * April 1: a natural [[loafer]] emerges from a soup in the B3/S23/C1 census submitted by John Goodman.&lt;ref name=&quot;post93011&quot; /&gt;<br /> * April 2: the B3/S23/C1 census reaches a total of 700 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2020-04-02|title=Census|accessdate=April 2, 2020}}&lt;/ref&gt;&lt;ref name=&quot;message695270579305054259&quot; /&gt;<br /> * April 8: the [https://catagolue.hatsya.com/census/b3s23/asymmetric-soups &lt;tt&gt;asymmetric-soups&lt;/tt&gt;] census is created, combining the results from B3/S23/C1 and B3/S23/G1.&lt;ref name=&quot;post93707&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/fcf65f9ed0b3703535c5c679c70f4456f3434c62|title=Combine C1 and G1 censuses each day|author=Adam P. Goucher|date=April 8, 2020|work=GitLab}}&lt;/ref&gt;<br /> * May 4: B3/S23/G1 overtakes B3/S23/C1 in terms of the number of soups investigated.&lt;ref name=&quot;message706964359548764201&quot; /&gt;<br /> * June 16: the B3/S23/C1 census reaches a total of 800 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2020-06-16|title=Census|accessdate=June 16, 2020}}&lt;/ref&gt;<br /> * November 14: the B3/S23/C1 census reaches a total of 900 trillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2020-11-14|title=Census|accessdate=November 14, 2020}}&lt;/ref&gt;<br /> <br /> ==2021==<br /> * January 25: the B3/S23/C1 census reaches a total of one quadrillion objects.&lt;ref&gt;{{CiteCatagolue|page=census/b3s23/C1-2021-01-25|title=Census|accessdate=January 25, 2021}}&lt;/ref&gt;&lt;ref name=&quot;post120338&quot; /&gt;<br /> * March 12: the 20-bit still life synthesis project is completed, using Catagolue's synthesis tabulations for bookkeeping.&lt;ref name=&quot;post125261&quot; /&gt;<br /> * June 17: Catagolue starts collecting data about the smallest known [[glider gun]]s (by bounding box) of a given period, in the [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/gun &lt;tt&gt;gun&lt;/tt&gt;] tabulation of &lt;tt&gt;synthesis-costs&lt;/tt&gt;.&lt;ref name=&quot;message855191956900937748&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/68648f65528707211b4611744f3d23efe6f04863|title=Initial attempt at support for glider guns|author=Adam P. Goucher|date=June 17, 2021|work=GitLab}}&lt;/ref&gt; The next day, a second [https://catagolue.hatsya.com/census/b3s23/synthesis-costs/guntrue &lt;tt&gt;guntrue&lt;/tt&gt;] tabulation was added, listing only the smallest [[true period]] guns.&lt;ref name=&quot;message855435983386312734&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/0f9a93b8406ff10da4d9bd67c0d1c0b1e5bcab8d|title=True-period gun collection|author=Adam P. Goucher|date=June 18, 2021|work=GitLab}}&lt;/ref&gt;<br /> * August 4: An [[RLE]]-to-[[apgcode]] box is added to the [https://catagolue.hatsya.com/object &lt;tt&gt;/object&lt;/tt&gt;] page.&lt;ref name=&quot;post134471&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/9429184f6a6aba9c0463cdf15c86ab9dadfbdf05|title=Identify pattern box|author=Adam P. Goucher|date=August 4, 2021|work=GitLab}}&lt;/ref&gt;<br /> * August 24: Catagolue's census tabulation system is upgraded, allowing for individual tabulations to reach an uncompressed size of 32 MB.&lt;ref name=&quot;post135260&quot; /&gt;&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/02f616c8cfbd7141ac25349341b19d772d727bc1|title=Preliminary support for large tabulations|author=Adam P. Goucher|date=August 24, 2021|work=GitLab}}&lt;/ref&gt;<br /> * October 19: Catagolue begins recognizing patterns with &lt;tt&gt;xg&lt;/tt&gt; prefixes as [[glider gun]]s,&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/catagolue/-/commit/2980dd550873aaa43015a7f95516aedca678e9f8|title=Glider guns should be identified as such on object pages|author=Adam P. Goucher|date=October 19, 2021|work=GitLab}}&lt;/ref&gt; following the introduction of &lt;tt&gt;xg&lt;/tt&gt; in [[lifelib]].&lt;ref&gt;{{cite web|url=https://gitlab.com/apgoucher/lifelib/-/commit/25dfa66d9bacde3c81daa6bd7e9da8c01ff24fc7|title=Introduce xg apgcodes for glider guns|author=Adam P. Goucher|date=October 12, 2021|work=GitLab}}&lt;/ref&gt; Support for &lt;tt&gt;xg&lt;/tt&gt; in the RLE-to-apgcode box has yet to be added.&lt;ref name=&quot;message901879261642780695&quot; /&gt;<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post17038&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = apgsearch v1.0<br /> |p = 17038<br /> |author = Adam P. Goucher<br /> |date = February 20, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post18988&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 18988<br /> |author = Billabob<br /> |date = April 24, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post22956&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Catagolue backups<br /> |p = 22956<br /> |author = Adam P. Goucher<br /> |date = September 24, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;ponyexpress1&quot;&gt;{{cite web<br /> |url = https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=1784&amp;p=23022#p23022<br /> |title = Re: apgsearch v2.2<br /> |date = 2015-09-27<br /> |author = Apple Bottom<br /> |work = ConwayLife.com forums<br /> |accessdate = 2016-06-30<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;ponyexpress2&quot;&gt;{{cite web<br /> |url = https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=1784&amp;p=23054#p23054<br /> |title = Re: apgsearch v2.2<br /> |date = 2015-09-28<br /> |author = Adam P. Goucher<br /> |work = ConwayLife.com forums<br /> |accessdate = 2016-06-30<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;catagolue20151005&quot;&gt;{{cite web<br /> |url = https://catagolue.hatsya.com/census/b3s23/C1-2015-10-05/<br /> |title = Census (2015-10-05 backup)<br /> |date = 2015-10-05<br /> |author = Adam P. Goucher<br /> |work = Catagolue<br /> |accessdate = 2016-06-29<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post27013&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Hacking apgsearch<br /> |p = 27013<br /> |author = praosylen<br /> |date = January 25, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post32766&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 32766<br /> |author = Ivan Fomichev<br /> |date = July 5, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post34242&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 34242<br /> |author = Apple Bottom<br /> |date = August 12, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post34623&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 34623<br /> |author = Apple Bottom<br /> |date = August 22, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post49184&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = 345/3/8<br /> |p = 49184<br /> |author = Adam P. Goucher<br /> |date = August 18, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post49541&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 49541<br /> |author = Adam P. Goucher<br /> |date = August 21, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post50771&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.2<br /> |p = 50771<br /> |author = Adam P. Goucher<br /> |date = September 10, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post60663&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 60663<br /> |author = Adam P. Goucher<br /> |date = June 3, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post65133&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 65133<br /> |author = Adam P. Goucher<br /> |date = 2018-10-28<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post65313&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 65313<br /> |author = Apple Bottom<br /> |date = 2018-11-03<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post65439&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 65439<br /> |author = Adam P. Goucher<br /> |date = 2018-11-07<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66090&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Non-totalistic hex rules<br /> |p = 66090<br /> |author = Adam P. Goucher<br /> |date = December 1, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66402&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 66402<br /> |author = Ian07<br /> |date = December 11, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66627&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 66627<br /> |author = Adam P. Goucher<br /> |date = December 19, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66638&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.0<br /> |p = 66638<br /> |author = Adam P. Goucher<br /> |date = December 20, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66400&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 66400<br /> |author = Billabob<br /> |date = December 11, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post66417&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Catagolue Discussion Thread<br /> |p = 66417<br /> |author = Adam P. Goucher<br /> |date = December 12, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post70479&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 70479<br /> |author = Adam P. Goucher<br /> |date = February 12, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post72438&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 72438<br /> |author = testitemqlstudop<br /> |date = March 3, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post73826&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v5.0<br /> |p = 73826<br /> |author = Adam P. Goucher<br /> |date = March 24, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post74007&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 74007<br /> |author = alphazelf<br /> |date = March 27, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message561987442719064076&quot;&gt;{{CiteDiscord<br /> |author = Ian07<br /> |date = March 31, 2019<br /> |channel = general-discussion<br /> |id = 561987442719064076<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message566317445766316042&quot;&gt;{{CiteDiscord<br /> |author = Adam P. Goucher<br /> |date = April 12, 2019<br /> |channel = tools<br /> |id = 566317445766316042<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message566975532382552064&quot;&gt;{{CiteDiscord<br /> |author = alphazelf<br /> |date = April 14, 2019<br /> |channel = cgol<br /> |id = 566975532382552064<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message573177771186978822&quot;&gt;{{CiteDiscord<br /> |author = Adam P. Goucher<br /> |date = May 1, 2019<br /> |channel = cgol<br /> |id = 573177771186978822<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post76084&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 76084<br /> |author = Ian07<br /> |date = May 12, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post82560&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 17 in 17: Efficient 17-bit synthesis project<br /> |p = 82560<br /> |author = Tanner Jacobi<br /> |date = September 9, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post83979&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 18-bit SL Syntheses (100% Complete!)<br /> |p = 83979<br /> |author = Ian07<br /> |date = October 9, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message660263777786265619&quot;&gt;{{CiteDiscord<br /> |author = 77topaz<br /> |date = December 27, 2019<br /> |channel = naturalistic<br /> |id = 660263777786265619<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post89061&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 19-bit still life syntheses<br /> |p = 89061<br /> |author = Martin Grant<br /> |date = February 8, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post89261&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 89261<br /> |author = Tanner Jacobi<br /> |date = February 10, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post93011&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 93011<br /> |author = Billabob<br /> |date = April 1, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message695270579305054259&quot;&gt;{{CiteDiscord<br /> |author = testitemqlstudop<br /> |date = April 2, 2020<br /> |channel = general-discussion<br /> |id = 695270579305054259<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post93707&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Catagolue Suggestions Thread<br /> |p = 93707<br /> |author = Adam P. Goucher<br /> |date = April 8, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message706964359548764201&quot;&gt;{{CiteDiscord<br /> |author = Adam P. Goucher<br /> |date = May 4, 2020<br /> |channel = general-discussion<br /> |id = 706964359548764201<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post120338&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Catagolue Discussion Thread<br /> |p = 120338<br /> |author = LaundryPizza03<br /> |date = January 25, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message855191956900937748&quot;&gt;{{CiteDiscord<br /> |author = Adam P. Goucher<br /> |date = June 17, 2021<br /> |channel = cgol<br /> |id = 855191956900937748<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message855435983386312734&quot;&gt;{{CiteDiscord<br /> |author = Adam P. Goucher<br /> |date = June 18, 2021<br /> |channel = cgol<br /> |id = 855435983386312734<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post134471&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Catagolue Discussion Thread<br /> |p = 134471<br /> |author = Adam P. Goucher<br /> |date = August 4, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post135260&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Catagolue Discussion Thread<br /> |p = 135260<br /> |author = Adam P. Goucher<br /> |date = August 24, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post125261&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 20-bit still life syntheses<br /> |p = 125261<br /> |author = Alex Greason<br /> |date = March 12, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message901879261642780695&quot;&gt;{{CiteDiscord<br /> |author = Adam P. Goucher<br /> |date = October 24, 2021<br /> |channel = cgol<br /> |id = 901879261642780695<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> {{CatagolueNavbox}}<br /> <br /> [[Category:Censuses|Catagolue, History of]]</div>

Praosylen https://conwaylife.com/w/index.php?title=Copperhead&diff=86186 2021-12-20T19:44:33Z

<p>Praosylen: clarify</p> <hr /> <div>{{Spaceship<br /> |name = Copperhead<br /> |pname = copperhead<br /> |c = 28<br /> |bx = 6<br /> |by = 12<br /> |dir = Orthogonal<br /> |p = 10<br /> |m = 10<br /> |s = c/10<br /> |z = c/10<br /> |h = 27.8<br /> |discoverer = zdr<br /> |discoveryear = 2016<br /> |rulemin = B3/S23<br /> |rulemax = B38/S0238<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3-ceky/S23-cik<br /> |isorulemax = B34ceq5aeijk6aen7c8/S0234ceijyz5ekn6-a7e8<br /> |synthesis = 13<br /> |synthesisRLE = true<br /> |plaintext = true<br /> |rle = true<br /> |animated = true<br /> |viewerconfig = #C [[ TRACKLOOP 10 0 -1/10 THUMBSIZE 3 GPS 5 HEIGHT 800 WIDTH 483 ]]<br /> |apgcode = xq10_o5995ozes88sezw33<br /> |pentadecathlonid = 28P10H1V0.1<br /> }}<br /> '''Copperhead''' is a [[c/10 orthogonal]] [[spaceship]] discovered by &quot;[[zdr]]&quot; on March 5, {{year|2016}} using a modified version of [[gfind]] known as [[zfind]].&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2057|title=is this c/10 spaceship known?|author=zdr|date=March 5, 2016|accessdate=March 5, 2016}}&lt;/ref&gt; It was the first spaceship of this speed to be discovered, and surprised many due to its small size and high period.<br /> <br /> {{POTY|year=2016|rank=2|behind=the [[caterloopillar]]s}}<br /> <br /> &lt;div style=&quot;clear:left&quot;&gt;<br /> ==Reactions==<br /> The ship hauls a [[block]] behind it, which makes for interesting reactions involving other ships. [[Dean Hickerson]] built a [[sawtooth]], that uses copperhead's ability to turn a [[heavyweight spaceship]] into a [[loaf]].&lt;ref&gt;{{Cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2057&amp;start=75#p28119|title=Re: is this c/10 spaceship known?|author=Dean Hickerson|date=6 March, 2016}}&lt;/ref&gt; It can also eat gliders and [[middleweight spaceship]]s cleanly from behind, and [[lightweight spaceship]]s from the side of the block. Its front end can cleanly burn through [[blinker]]s, creating a c/10 [[blinker fuse]].<br /> <br /> ===Fireship===<br /> {{main|Fireship}}<br /> <br /> [[Simon Ekström]] found [[Fireship|what appeared to be a tagalong]] with a large spark on March 20, 2016.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=28956#p28956|title=Re: is this c/10 spaceship known?|author=Simon Ekström|date=March 20, 2016|accessdate=March 20, 2016}}&lt;/ref&gt; Unlike most tagalongs, this tagalong actually temporarily interacts with the hauled block, and is thus not a true tagalong but a whole new spaceship, named [[fireship]] due to its unusual spark.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2057&amp;start=175#p28988|title=Re: is this c/10 spaceship known?|author=towerator|date=20 March 2016|accessdate=30 June 2016}}&lt;/ref&gt; However, blocks hauled by the tagalongs in tagalong pyramids are unaffected, and are thus true tagalongs.<br /> <br /> A [[Fireship tagalong|2c/20 tagalong for the fireship]] is also known, discovered by [[christoph.r]] on October 11, 2018.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=576&amp;p=64623#p64623|title=Re: Thread for your unsure discoveries|author=christoph.r|date=October 11, 2018|accessdate=November 30, 2018}}&lt;/ref&gt;<br /> <br /> ===Cottonmouth===<br /> {{main|Cottonmouth}}<br /> <br /> A true pushalong known as the [[cottonmouth]] was found by [[AforAmpere]] on March 24, 2018 for both the copperhead and the similar [[fireship]]. Because its front end matches that of the copperhead, it can be infinitely placed on itself.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2031&amp;hilit=cottonmouth&amp;start=600#p58357|title=Re: Spaceship Discussion Thread|author=AforAmpere|date=March 24, 2018|accessdate=August 30, 2018}}&lt;/ref&gt;<br /> <br /> ==Synthesis==<br /> The first final step for a synthesis, starting from a large, unsynthesized still life, was proposed by [[praosylen]] on the day of discovery. An alternative synthesis utilising [[fumarole]] as a predecessor, presented by Tanner Jacobi an hour later, was much more efficient. After optimizations by Mark Niemiec and Chris Cain the total synthesis cost made 22 gliders. A copperhead [[gun]] was then completed by Alexey Nigin on March 6, 2016.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2057&amp;p=28103#p28101|title=Re: is this c/10 spaceship known?|author=Alexey Nigin|date=March 6, 2016|accessdate=March 6, 2016}}&lt;/ref&gt; A faster gun was constructed one day later.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=28176#p28176|title=Re: is this c/10 spaceship known?|author=gmc_nxtman|date=7 March, 2016|accessdate= 8 March, 2016}}&lt;/ref&gt; <br /> <br /> gmc_nxtman reduced the copperhead's synthesis cost to 14 gliders on July 9, 2017;&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2057&amp;p=46308#p46308|title=Re: is this c/10 spaceship known?|author=gmc_nxtman|date=July 9, 2017|accessdate=July 9, 2017}}&lt;/ref&gt; 2718281828 posted a 13-glider synthesis on January 9, 2018.&lt;ref name=&quot;post54874&quot; /&gt;<br /> <br /> ===Soup search results===<br /> <br /> The first copperhead to emerge from the [[ash]] of a [[soup]] appeared on April 4, 2016 in a [[Symmetry|D2_+2]] haul submitted to [[apgsearch|Catagolue]] by Apple Bottom.&lt;ref&gt;{{cite web|url=https://catagolue.hatsya.com/haul/b3s23/D2_+2/13a2db2966f2178690fe73358a3dc2e4|title=Haul|author=Apple Bottom|date=April 4, 2016|accessdate=April 4, 2016|work=Catagolue}}&lt;/ref&gt;&lt;ref name=&quot;post29637&quot; /&gt; Several more copperheads have since been found in this and other related symmetries. It is the first and currently only spaceship with a non-standard [[speed]] to appear in a symmetric soup search, although the [[loafer]] has appeared in an asymmetric soup.<br /> <br /> ==Naming==<br /> <br /> Various names were proposed on the day of the ship's discovery; for example copperhead, blockhauler, decapod, cuttlefish and blockfish. zdr settled on copperhead.&lt;ref&gt;{{Cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=2057&amp;p=28078#p28078|title=Re: is this c/10 spaceship known?|author=zdr|date=6 March 2016|accessdate=5 July 2016}}&lt;/ref&gt;<br /> <br /> ==Gallery==<br /> {|<br /> |-<br /> | [[File:Copperhead eater.png|thumb|A simple copperhead eater found by Simon Ekström.&lt;ref name=&quot;post28146&quot; /&gt; &lt;br&gt;<br /> [[Media:Copperhead eater.gif|View animated image]]]]<br /> | [[File:First copperhead.png|thumb|The phase the copperhead was first found in.]]<br /> |}<br /> <br /> == In other rules ==<br /> [[File:Goldenhead.png|frame|right|DryLife's goldenhead.]]<br /> In the cellular automaton [[DryLife]], an extremely similar spaceship (dubbed the '''goldenhead''') also travels at c/10 orthogonal. It differs from the normal copperhead by 2 cells in one phase. A normal copperhead at this phase will turn into a goldenhead in DryLife, and conversely this phase will return to a copperhead in normal Life.<br /> <br /> ==See also==<br /> * [[Loafer]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post54874&quot;&gt;{{LinkForumThread<br /> |accessdate = January 9, 2018<br /> |date = January 9, 2018<br /> |author = 2718281828<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 54874<br /> |format = ref<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post29637&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 29637<br /> |author = Apple Bottom<br /> |date = April 4, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post28146&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: is this c/10 spaceship known?<br /> |p = 28146<br /> |author = Simon Ekström<br /> |date = March 6, 2016<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> <br /> {{LinkCatagolue|xq10_o5995ozes88sezw33}}<br /> {{LinkPentadecathlonObject|28P10H1V0.1}}<br /> {{LinkLexicon|lex_c.htm#copperhead}}<br /> * Alexey Nigin: ''[https://niginsblog.wordpress.com/2016/03/07/new-spaceship-speed-in-conways-game-of-life/ New Spaceship Speed in Conway’s Game of Life]''<br /> <br /> [[Category:Non-monotonic spaceships]]<br /> [[Category:Patterns discovered by pseudonymous users]]<br /> {{Symmetry|orthogonal2}}<br /> {{seminatural}}<br /> <br /> __NOTOC__</div>

Praosylen https://conwaylife.com/w/index.php?title=Glider_synthesis&diff=86185 2021-12-20T19:44:26Z

<p>Praosylen: I do need to clean this part up — my first copperhead &quot;synth&quot; was only a final step from an unsynthed sl, so it technically doesn&#039;t count and really isn&#039;t worth mentioning</p> <hr /> <div>{{EmbedViewer<br /> |pname = loafer_synth<br /> |position = right<br /> |caption = An 8-glider synthesis of a [[loafer]]&lt;br&gt;<br /> |viewerconfig = #C [[ ZOOM 8 ]]<br /> }}<br /> {{Glossary}}<br /> '''Glider synthesis''' (or '''glider construction''') is the construction of an object by means of collisions of [[glider]]s and glider-constructible spaceships. It is generally assumed that the gliders should be arranged so that they could come from infinity - that is, gliders should not have had to pass through one another to achieve the initial arrangement (or else it is considered “not fully functional”). [[LWSS]]es, [[MWSS]]es and [[HWSS]]es can also be used in syntheses; these spaceships can themselves be easily synthesized from gliders at any point along their trajectory, so this conversion is often left as an implicit step.<br /> <br /> ==Features of syntheses==<br /> Four main characterizing features of a synthesis are the ''geometry'', ''construction time'', ''glider cost'', and ''number of stages''.<br /> <br /> The '''geometry''' is the number of directions of incoming gliders:<br /> * four-directional: gliders collide from all four directions<br /> * three-directional: gliders collide from all directions but one<br /> * two-directional; further divisible in head-on and 90° syntheses. All two-glider syntheses are necessarily two-directional.<br /> * unidirectional, which assumes the initial presence of a '''target''' (usually a [[still life]] or an [[oscillator]]) to be hit with gliders.<br /> Since gliders are themselves glider-constructible, any multidirectional synthesis can be technically downgraded to a fewer-directional one, usually at the cost of increasing the construction time, cost, and/or number of stages needed for the synthesis. More challenging is finding a two- or three-directional synthesis for a particular object where few or no parts of the synthesis reactions extend outside the final pattern's [[bounding box]] in a particular direction. This is especially important for the synthesis of temporary [[bait]] objects, which will need to be placed sometimes quite close to other components without perturbing them. For especially tight locations, sometimes it will be useful to construct an [[LWSS]] (or another standard c/2 spaceship) some distance away from the synthesis nexus and let that collide with a glider in the final stages; this allows synthesis at a 45° angle, rather than a 90° angle as required for synthesis by gliders from separate directions.<br /> <br /> The '''construction time''' is simply the number of [[generation]]s it takes to complete a synthesis. For multi-stage syntheses, each stage has its own construction time.<br /> <br /> The '''number of stages''' is a count of how many separate operations a synthesis can be divided into, with pauses of arbitrary length between the stages. Often a particular synthesis operation cannot be achieved by a direct collision of gliders, and a synthesis procedure instead requires first synthesizing a number of [[bait]] objects, and then hitting these with gliders to produce the final result.<br /> <br /> The '''cost''' is the number of gliders expended over the course of the synthesis. Similar to the construction time, it can be defined also for individual synthesis stages. A *WSS is considered to cost 3 gliders. The discovery of the [[reverse caber tosser]] in 2018 proved that there is a universal constant upper bound on the cost to synthesise any synthesisable object; currently, the best known upper bound is {{Reverse caber tosser/Lower bound}} gliders.<br /> <br /> Of particular interest is [[salvo|slow salvo synthesis]]: unidirectional synthesis where every stage has a glider cost of one. Perhaps surprisingly, anything that is glider synthesizable is also slow salvo synthesizable; a result that crucially depends on the existence of [[movable target]]s, [[one-time]] [[turner]]s, and [[splitter]]s.<br /> <br /> ==Still life syntheses==<br /> In the 1990s, glider syntheses for all [[still life]]s and known [[oscillator]]s with at most 14 [[cell]]s were found by [[David Buckingham]]. Almost all of these were successfully reduced to a synthesis cost of less than 1 glider per ON cell, or &quot;1 glider per bit&quot;.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=&amp;p=21500#p20597 |title=Re: 4 glider syntheses |work=ConwayLife.com forums |author=Mark D. Niemiec|date=June 20, 2015|accessdate=February 21, 2018}}&lt;/ref&gt;<br /> <br /> A collaborative effort ending in May 2014 completed glider syntheses of all still lifes with 17 or fewer cells.&lt;ref&gt;{{cite web|url=http://pentadecathlon.com/lifeNews/2014/05/constructions_known_for_all_st.html |title=Constructions Known for All Still Lifes up to 17 Bits |work=Game of Life News |author=Dave Greene |date=May 23, 2014|accessdate=September 17, 2014}}&lt;/ref&gt;&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1276 |title=17-bit SL Syntheses (100% Complete!) |work=ConwayLife.com forums |author=Martin Grant|date=January 6, 2014 |accessdate=September 17, 2014}}&lt;/ref&gt;&lt;ref name=&quot;post11972&quot; /&gt; A second, longer effort claimed to have completed all the 18-bit still lifes in November 2014,&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=1467#p13607 |title=18-bit SL Syntheses (100% Complete!)|work=ConwayLife.com forums |author=Martin Grant|date=October 2, 2014|accessdate=February 21, 2018}}&lt;/ref&gt;&lt;ref name=&quot;post14272&quot; /&gt; but it was later found that some of these syntheses were erroneous.{{citation needed}} The project was finally completed for real in October 2019.&lt;ref name=&quot;post83979&quot; /&gt; The syntheses for 19-bit still lifes were completed in February 2020,&lt;ref name=&quot;post89061&quot; /&gt; and 20-bit still lifes in March 2021.&lt;ref name=&quot;post125259&quot; /&gt; Later optimization projects reduced the maximum cost of construction for 15-bit,&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2441|title=15 in 15: Efficient 15-bit Synthesis Project (DONE!)|work=ConwayLife.com forums |author=BlinkerSpawn|date=October 27, 2016|accessdate=February 21, 2018}}&lt;/ref&gt;&lt;ref name=&quot;post37438&quot; /&gt; 16-bit,&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=2&amp;t=2642 |title=16 in 16: Efficient 16-bit Synthesis Project |work=ConwayLife.com forums |author=Bob Shemyakin|date=December 20, 2016|accessdate=February 21, 2018}}&lt;/ref&gt;&lt;ref name=&quot;post43734&quot; /&gt; and 17-bit&lt;ref name=&quot;post82560&quot; /&gt; still lifes to less than one glider per bit, in November 2016, May 2017, and September 2019 respectively.<br /> <br /> In September 2020, the 17-glider reverse caber-tosser proved that all synthesizable still lifes could theoretically be constructed with no more than one glider per bit.&lt;ref name=&quot;post104484&quot; /&gt;<br /> <br /> The following table displays statistics about the costs (excluding RCT constructions) for strict and pseudo still lifes with up to 21 cells as of August 28, 2021.&lt;ref&gt;{{CiteCatagolue|page=syntheses|title=Syntheses|accessdate=August 28, 2021}}&lt;/ref&gt;<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;text-align:center&quot;<br /> ! rowspan=2 | Live cells !! colspan=4 | Strict still lifes !! colspan=3 | Pseudo still lifes<br /> |-<br /> ! Count&lt;br&gt;({{OEIS|A019473}}) !! Min. cost !! Avg. cost !! Max. cost !! Count&lt;br&gt;({{OEIS|A056613}}) !! Min. cost !! Max. cost<br /> |-<br /> | 4 || {{A019473|4}} || 2 || 2.500 || 3 || {{A056613|4}} || – || –<br /> |-<br /> | 5 || {{A019473|5}} || 2 || 2.000 || 2 || {{A056613|5}} || – || –<br /> |-<br /> | 6 || {{A019473|6}} || 2 || 3.200 || 4 || {{A056613|6}} || – || –<br /> |-<br /> | 7 || {{A019473|7}} || 2 || 2.750 || 4 || {{A056613|7}} || – || –<br /> |-<br /> | 8 || {{A019473|8}} || 2 || 3.556 || 4 || {{A056613|8}} || 2 || 2<br /> |-<br /> | 9 || {{A019473|9}} || 3 || 4.000 || 5 || {{A056613|9}} || 3 || 3<br /> |-<br /> | 10 || {{A019473|10}} || 4 || 4.360 || 5 || {{A056613|10}} || 3 || 5<br /> |-<br /> | 11 || {{A019473|11}} || 4 || 4.848 || 7 || {{A056613|11}} || 3 || 6<br /> |-<br /> | 12 || {{A019473|12}} || 4 || 5.653 || 7 || {{A056613|12}} || 3 || 9<br /> |-<br /> | 13 || {{A019473|13}} || 4 || 6.263 || 8 || {{A056613|13}} || 4 || 9<br /> |-<br /> | 14 || {{A019473|14}} || 3 || 7.100 || 10 || {{A056613|14}} || 3 || 11<br /> |-<br /> | 15 || {{A019473|15}} || 4 || 8.201 || 11 || {{A056613|15}} || 4 || 12<br /> |-<br /> | 16 || {{A019473|16}} || 3 || 9.237 || 14 || {{A056613|16}} || 4 || style=&quot;background-color:#ffff80;&quot; | 23{{refn|group=n|name=RCT}}{{refn|group=n|All but 4 16-bit pseudo still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}}<br /> |-<br /> | 17 || {{A019473|17}} || 4 || 10.427 || 16 || {{A056613|17}} || 4 || style=&quot;background-color:#ffff80;&quot; | 19{{refn|group=n|name=RCT}}{{refn|group=n|All but 4 17-bit pseudo still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}}<br /> |-<br /> | 18 || {{A019473|18}} || 4 || 11.829 || style=&quot;background-color:#ffff80;&quot; | 30{{refn|group=n|name=RCT|{{Reverse caber tosser/Lower bound}} gliders using the [[reverse caber-tosser]]}}{{refn|group=n|All but 572 18-bit strict still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}} || {{A056613|18}}|| 4 || style=&quot;background-color:#ffff80;&quot; | 67{{refn|group=n|name=RCT}}{{refn|group=n|All but 38 18-bit pseudo still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}}<br /> |-<br /> | 19 || {{A019473|19}} || 4 || 13.260 || style=&quot;background-color:#ffff80;&quot; | 61{{refn|group=n|name=RCT}}{{refn|group=n|All but 2,867 19-bit strict still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}} || {{A056613|19}} || 4 || style=&quot;background-color:#ffff80;&quot; | 42{{refn|group=n|name=RCT}}{{refn|group=n|All but 84 19-bit pseudo still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}}<br /> |-<br /> | 20 || {{A019473|20}} || 4 || 14.966 || style=&quot;background-color:#ffff80;&quot; | 119{{refn|group=n|name=RCT}}{{refn|group=n|All but 12,095 20-bit strict still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}} || {{A056613|20}} || 4 || style=&quot;background-color:#ff8080;&quot; | 128 unsynthesized<br /> |-<br /> | 21 || {{A019473|21}} || 5 || colspan=2 style=&quot;background-color:#ff8080;&quot; | 756 unsynthesized{{refn|group=n|All but 42,152 21-bit strict still lifes can be constructed with strictly less than one glider per bit as of August 28, 2021.}} || {{A056613|21}} || colspan=&quot;2&quot; style=&quot;background-color:#c0c0c0;&quot; | {{refn|group=n|21-bit pseudo still lifes are currently not fully tabulated on Catagolue.}}<br /> |}<br /> &lt;references group=n /&gt;<br /> <br /> ==Spaceship syntheses==<br /> Perhaps the most interesting glider syntheses are those of [[spaceship]]s, because these can be used to create corresponding [[gun]]s and [[rake]]s. Many of the [[c/2]] spaceships that are based on standard spaceships have been synthesized, mostly by [[Mark Niemiec]]. In June {{year|1998}}, [[Stephen Silver]] found syntheses for some of the [[Cordership]]s (although it was not until July {{year|1999}} that [[Jason Summers]] used this to build a Cordership gun). Many larger Corderships also have known glider syntheses, and others could easily be generated using the same techniques. In general, larger Corderships have declined in importance after the discovery of four-, three- and two-engine versions.<br /> <br /> In May {{year|2000}}, [[Noam Elkies]] suggested that [[60P5H2V0]], a [[2c/5]] spaceship found by [[Tim Coe]] in May {{year|1996}} might be a candidate for glider synthesis. Initial attempts to construct a synthesis for this spaceship got fairly close, but it was only in March {{year|2003}} that Summers and Elkies managed to find a way to perform the crucial last step. Summers then used the new synthesis to build a c/2 forward rake for the 2c/5 spaceship; this was the first example in [[Conway's Game of Life|Life]] of a rake which fires spaceships that travel in the same direction as the rake but more slowly.<br /> <br /> After the [[loafer]] was discovered and synthesized in 2013, a number of new spaceship syntheses were found during a short period of time in late 2014 and early 2015, including the [[dart]], [[crab]], [[25P3H1V0.2]], [[30P5H2V0]], [[x66]], and [[weekender]]. Most of this was due to the work of [[Martin Grant]].<br /> <br /> &lt;!-- NOTE: &quot;o&quot; and &quot;d&quot; stand for &quot;orthogonal&quot; and &quot;diagonal&quot; respectively; the numbers are the speeds converted into decimal form --&gt;<br /> {| class=&quot;wikitable sortable&quot;<br /> ! rowspan=&quot;2&quot; | Name !! rowspan=&quot;2&quot; | Speed !! colspan=&quot;2&quot; | First synthesis !! Best current synthesis<br /> |-<br /> ! Date !! Discoverer !! Fewest gliders<br /> |-<br /> | [[60P5H2V0]] || data-sort-value=&quot;o 0.4&quot; | [[2c/5 orthogonal]] || 2003-03-17 || [[Noam Elkies]] || 37<br /> |-<br /> | [[loafer]] || data-sort-value=&quot;o 0.142857&quot; | [[c/7 orthogonal]] || 2013-02-17 || [[Adam P. Goucher]] || 8<br /> |-<br /> | [[dart]] || data-sort-value=&quot;o 0.333&quot; | [[c/3 orthogonal]] || 2014-12-02 || [[Ivan Fomichev]], [[Mark Niemiec]], [[Martin Grant]], [[Michael Simkin]] || 25<br /> |-<br /> | [[crab]] || data-sort-value=&quot;d 0.25&quot; | [[c/4 diagonal]] || 2014-12-26 || [[Brett Berger]], [[Martin Grant]], [[Tanner Jacobi]] || 14<br /> |-<br /> | [[Parallel HBK]] || data-sort-value=&quot;oblique&quot; | [[(6,3)c/245912]] || 2014-12-31 || [[Michael Simkin]] || 38,380<br /> |-<br /> | [[30P5H2V0]] || data-sort-value=&quot;o 0.4&quot; | [[2c/5 orthogonal]] || 2015-01-01 || [[Martin Grant]], [[Matthias Merzenich]], [[Tanner Jacobi]] || 39<br /> |-<br /> | [[25P3H1V0.1]] || data-sort-value=&quot;o 0.333&quot; | [[c/3 orthogonal]] || 2015-01-06 || [[Martin Grant]] || 19<br /> |-<br /> | [[x66]] || data-sort-value=&quot;o 0.5&quot; | [[c/2 orthogonal]] || 2015-01-11 || [[Martin Grant]], [[Tanner Jacobi]] || 12<br /> |-<br /> | [[weekender]] || data-sort-value=&quot;o 0.285714&quot; | [[2c/7 orthogonal]] || 2015-01-25 || [[Chris Cain]], [[Martin Grant]], [[Tanner Jacobi]] || 33<br /> |-<br /> | [[pufferfish spaceship]] || data-sort-value=&quot;o 0.5&quot; | [[c/2 orthogonal]] || 2015-02-11 || [[Chris Cain]] || 51<br /> |-<br /> | [[Gemini]] || data-sort-value=&quot;oblique&quot; | [[(2560,512)c/16849793]] || 2015-02-16 || [[Dave Greene]] || 173,449<br /> |-<br /> | half-[[x66]] with [[HWSS]] || data-sort-value=&quot;o 0.5&quot; | [[c/2 orthogonal]] || 2015-03-08 || [[Adam P. Goucher]], [[praosylen]], [[Chris Cain]], [[Matthias Merzenich]] || 9<br /> |-<br /> | [[B29]] || data-sort-value=&quot;d 0.25&quot; | [[c/4 diagonal]] || 2015-04-06 || [[Tanner Jacobi]] || 25<br /> |-<br /> | [[Pushalong 1]] || data-sort-value=&quot;o 0.5&quot; | [[c/2 orthogonal]] || 2015-06-12 || [[Martin Grant]] || 14<br /> |-<br /> | [[30P4H2V0.4]] || data-sort-value=&quot;o 0.5&quot; | [[c/2 orthogonal]] || 2015-09-10 || [[Tanner Jacobi]] || 50<br /> |-<br /> | [[0hd Demonoid]] || data-sort-value=&quot;d 0.000148114&quot; | [[65c/438852 diagonal]] || 2015-12-06 || [[Chris Cain]] || 12,016<br /> |-<br /> | [[copperhead]] || data-sort-value=&quot;o 0.1&quot; | [[c/10 orthogonal]] || 2016-03-05 || [[Tanner Jacobi]] || 13<br /> |-<br /> | [[fireship]] || data-sort-value=&quot;o 0.1&quot; | [[c/10 orthogonal]] || 2016-03-21 || [[Nico Brown]], [[Tanner Jacobi]] || 18<br /> |-<br /> | [[25P3H1V0.2]] || data-sort-value=&quot;o 0.333&quot; | [[c/3 orthogonal]] || 2017-12-15 || [[Martin Grant]] || 24<br /> |-<br /> | [[Orthogonoid]] || data-sort-value=&quot;o 0.0000736475&quot; | [[16c/217251 orthogonal]] || 2017-12-30 || [[Dave Greene]] || 37,625<br /> |-<br /> | [[2-engine Cordership]] || data-sort-value=&quot;d 0.0833&quot; | [[c/12 diagonal]] || 2017-12-31 || [[Dave Greene]] || 9<br /> |-<br /> | [[46P4H1V0]] || data-sort-value=&quot;o 0.25&quot; | [[c/4 orthogonal]] || 2019-02-04 || [[Martin Grant]], [[Tanner Jacobi]] || 57<br /> |-<br /> | [[spider]] || data-sort-value=&quot;o 0.2&quot; | [[c/5 orthogonal]] || 2019-03-07 || [[Martin Grant]] || 233<br /> |-<br /> | [[camelship]] || data-sort-value=&quot;oblique&quot; | [[(3,1)c/3948264]] || 2019-05-04 || [[Dave Greene]] || 26,614<br /> |-<br /> | [[27P4H1V1]] || data-sort-value=&quot;d 0.25&quot; | [[c/4 diagonal]] || 2019-10-28 || [[Goldtiger997]], [[Tanner Jacobi]] || 31<br /> |-<br /> | [[orthogonal loopship]] || data-sort-value=&quot;o 0.0499977&quot; | [[1000130c/20003511 orthogonal]] || 2020-01-08 || [[Dave Greene]] || 56,643<br /> |-<br /> | [[56P6H1V0]] || data-sort-value=&quot;o 0.167&quot; | [[c/6 orthogonal]] || 2020-03-25 || [[AforAmpere]], [[praosylen]], [[Goldtiger997]], [[Martin Grant]], [[Tanner Jacobi]] || 292<br /> |-<br /> | [[58P5H1V1]] || data-sort-value=&quot;d 0.2&quot; | [[c/5 diagonal]] || 2020-04-03 || [[Adam P. Goucher]], [[Blinkerspawn]], [[Goldtiger997]], [[Peter Naszvadi]], [[Tanner Jacobi]] || 100<br /> |-<br /> | [[31P8H4V0]] || data-sort-value=&quot;o 0.5&quot; | [[c/2 orthogonal]] || 2020-04-10 || [[Goldtiger997]] || 36<br /> |-<br /> | [[70P2H1V0.1]] || data-sort-value=&quot;o 0.5&quot; | [[c/2 orthogonal]] || 2020-07-18 || [[Martin Grant]] || 178<br /> |-<br /> | [[44P5H2V0]] || data-sort-value=&quot;o 0.4&quot; | [[2c/5 orthogonal]] || 2020-08-29 || [[Goldtiger997]] || 37<br /> |-<br /> | [[55P9H3V0]] || data-sort-value=&quot;o 0.333&quot; | [[c/3 orthogonal]] || 2020-09-19 || [[Goldtiger997]] || 231<br /> |-<br /> | [[Speed Demonoid]] || data-sort-value=&quot;d 0.1992019&quot; | [[1642811c/8246964 diagonal]] || 2020-09-26 || [[Dave Greene]] || 31,822<br /> |-<br /> | [[57P5H2V0]] || data-sort-value=&quot;o 0.4&quot; | [[2c/5 orthogonal]] || 2020-11-02 || [[Goldtiger997]] || 391<br /> |-<br /> | [[turtle]] || data-sort-value=&quot;o 0.333&quot; | [[c/3 orthogonal]] || 2020-12-04 || [[Goldtiger997]] || 227<br /> |-<br /> | [[doo-dah]] || data-sort-value=&quot;o 0.285714&quot; | [[2c/7 orthogonal]] || 2020-12-06 || [[Goldtiger997]] || 39<br /> |-<br /> | [[edge-repair spaceship 1]] || data-sort-value=&quot;o 0.333&quot; | [[c/3 orthogonal]] || 2021-01-24 || [[bubblegum]], [[goldenratio]] || 17<br /> |-<br /> | {{LinkCatagolue|xq4_2534uof1u0u1fou4352zy087084048078zx3igi3x3igi3|patternname=72P4H1V0|style=raw}}&lt;ref name=&quot;post124810&quot; /&gt; || data-sort-value=&quot;o 0.25&quot; | [[c/4 orthogonal]] || 2021-03-08 || [[Tanner Jacobi]], [[Goldtiger997]] || 196<br /> |-<br /> | {{LinkCatagolue|xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221|patternname=61P4H1V0|style=raw}}&lt;ref name=&quot;post128012&quot; /&gt; || data-sort-value=&quot;o 0.25&quot; | [[c/4 orthogonal]] || 2021-04-10 || [[Goldtiger997]] || 89<br /> |-<br /> | [[Canada Grey]] || data-sort-value=&quot;o 0.5&quot; | [[c/2 orthogonal]] || 2021-07-01 || [[Goldtiger997]], [[Martin Grant]] || 611<br /> |-<br /> | [[self-synthesizing oblique loopship]] || data-sort-value=&quot;oblique&quot; | [[(16461006,16460963)c/75568091]] || 2021-08-02 || [[Goldtiger997]] || 144,221<br /> |}<br /> <br /> ==Other syntheses of note==<br /> [[Image:glider_synth_pentadecathlon.png|framed|right|A 3-glider synthesis of a [[pentadecathlon]].]]<br /> <br /> A 3-glider synthesis of a [[pentadecathlon]] was found in April {{year|1997}} by [[Heinrich Koenig]], which came as a surprise because it was widely assumed that such a small synthesis would already be known.<br /> <br /> Along similar lines, a 3-glider synthesis of a messy [[glider-producing switch engine]] was found in October {{year|2014}} by [[Michael Simkin]],&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=13988#p13988|title=Re: Making switch-engines|work=ConwayLife.com forums|author=Michael Simkin|date=October 24, 2014|accessdate=February 21, 2018}}&lt;/ref&gt; and a 3-glider synthesis of a [[clean]] [[switch engine]] was discovered in March {{year|2017}} by [[Luka Okanishi]].&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=&amp;p=41558#p41557|title=Re: Thread For Your Accidental Discoveries|work=ConwayLife.com forums|author=Luka Okanishi|date=March 12, 2017|accessdate=February 21, 2018}}&lt;/ref&gt;<br /> <br /> ==2-glider syntheses==<br /> {{main|2-glider collision}}<br /> <br /> There are 71 distinct 2-glider collisions, of which 28 produce nothing, six produce a [[block]], five produce a [[honey farm]], three produce a [[B-heptomino]], three produce a [[pi-heptomino]], three produce a [[blinker]], three produce a [[traffic light]], two produce a [[glider]], two produce a [[pond]], two produce a [[loaf]] and a [[blinker]], one produces a [[boat]], one produces a [[beehive]], one produces a [[loaf]], one produces an [[eater 1]], one produces [[lumps of muck]], one produces a [[teardrop]], one produces an [[interchange]], one produces a traffic light and a glider, one produces an [[Polyomino#Octominoes|octomino]], one produces a [[bi-block]], one produces four blocks, one produces two blocks, one produces a blinker, loaf, [[tub]] and block, and one produces the so-called [[two-glider mess]], a [[methuselah]] stabilizing after 530 generations and consisting of four gliders, eight blinkers (including a traffic light), four blocks, a beehive and a [[ship]].<br /> <br /> All 71 such syntheses can be seen below in a pattern put together by [[Jason Summers]] on January 29, {{year|2005}}:<br /> <br /> {{EmbedViewer<br /> |pname = twoglidersyntheses<br /> |position = center<br /> |caption = All 71 distinct 2-glider collisions, arranged by what they synthesize.&lt;br&gt;<br /> |viewerconfig = #C [[ WIDTH 1200 HEIGHT 1200 ZOOM 3 ]]<br /> }}<br /> <br /> ==See also==<br /> *[[:Category:Patterns_constructible_by_a_given_number_of_gliders|List of known glider syntheses]]<br /> *[[Salvo]]<br /> *[[Tutorials/Glider syntheses]]<br /> *[[Shinjuku]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post11972&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 17-bit SL Syntheses<br /> |p = 11972<br /> |author = Martin Grant<br /> |date = May 17, 2014<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post14272&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 18-bit SL Syntheses<br /> |p = 14272<br /> |author = Martin Grant<br /> |date = November 12, 2014<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post82560&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 17 in 17: Efficient 17-bit synthesis project<br /> |p = 82560<br /> |author = Tanner Jacobi<br /> |date = September 9, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post104484&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Binary slow salvos<br /> |p = 104484<br /> |author = Adam P. Goucher<br /> |date = September 19, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post83979&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 18-bit SL Syntheses (100% Complete!)<br /> |p = 83979<br /> |author = Ian07<br /> |date = October 9, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post89061&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 19-bit still life syntheses<br /> |p = 89061<br /> |author = Martin Grant<br /> |date = February 8, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post125259&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 20-bit still life syntheses<br /> |p = 125259<br /> |author = Martin Grant<br /> |date = March 12, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post37438&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 15 in 15: Efficient 15-bit Synthesis Project (2 SLs remain)<br /> |p = 37438<br /> |author = Martin Grant<br /> |date = November 19, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post43734&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 15 in 15: Efficient 15-bit Synthesis Project (2 SLs remain)<br /> |p = 43734<br /> |author = Goldtiger997<br /> |date = May 24, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post124810&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 124810<br /> |author = Goldtiger997<br /> |date = March 8, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post128012&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 128012<br /> |author = Goldtiger997<br /> |date = April 10, 2021<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> *[https://catagolue.hatsya.com/syntheses Catagolue synthesis database]<br /> *[http://codercontest.com/mniemiec/lifepage.htm Mark Niemiec's glider synthesis database]<br /> *[https://conwaylife.com/ref/DRH/life.html Dean Hickerson's Life page] with four pages of glider syntheses<br /> *[https://conwaylife.com/forums/viewtopic.php?p=46552#p46552 Martin Grant's synthesis component database], version 3<br /> *[http://pentadecathlon.com/constructions/components/components.php Heinrich Koenig's component catalog] on pentadecathlon.com<br /> {{LinkLexicon|lex_g.htm#glidersynthesis}}<br /> ===Forum threads===<br /> {{LinkForumThread|f=2|t=3267|title=Still Life Synthesis Thread}}<br /> {{LinkForumThread|f=2|t=1155|title=Synthesising Oscillators}}<br /> {{LinkForumThread|f=2|t=1557|title=Small Spaceship Syntheses}}<br /> {{LinkForumThread|f=2|t=3960|title=Soup-based syntheses}}<br /> {{LinkForumThread|f=2|t=4257|title=Randomly enumerating glider syntheses}}<br /> {{LinkForumThread|f=2|t=1394|title=4 glider syntheses}}<br /> {{LinkForumThread|f=2|t=4063|title=Synthesis components}}</div>

Praosylen https://conwaylife.com/w/index.php?title=Pre-pulsar_shuttle&diff=86184 2021-12-20T19:38:25Z

<p>Praosylen: </p> <hr /> <div>{{Glossary}}<br /> A '''[[pre-pulsar]] shuttle''' is a [[shuttle]] that hassles a predecessor of the [[pulsar]]. Small pre-pulsar shuttles are currently known for [[period]]s 22, 25, 26, 28, 29, 30, 32, 35, 36, 40, 42, 47, 58, 60, 64, 65, 88, and 90. <br /> Shuttles for these periods are shown below, along with the number of generations and displacement for each reaction.<br /> <br /> {| style=&quot;margin:auto&quot;<br /> |-<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle22<br /> |caption = p22, left: (11,3), right: (11,3)&lt;br&gt;Found by [[Mike Playle]] and [[Matthias Merzenich]] in May {{year|2013}}&lt;ref name=&quot;post7961&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp22_696o8b9cxc9b8o696z065x31x13x56zy18c8x8c8z06agwccxccwga6z69611d93x39d11696<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle25<br /> |caption = p25, left: (11,3), right: (14,3) ([[p25 pre-pulsar shuttle]])&lt;br&gt;<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle26<br /> |caption = p26, edge: (14,3), centre: (12,3) ([[p26 pre-pulsar shuttle]])&lt;br&gt;<br /> |position = center<br /> }}<br /> |-<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = p28prepulsarshuttle<br /> |caption = p28, left: (14,3), right: (14,3) ([[p28 pre-pulsar shuttle]])&lt;br&gt;<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle29<br /> |caption = p29, left: (15,3), right: (14,3) ([[p29 pre-pulsar shuttle]])&lt;br&gt;<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle30<br /> |caption = p30, left: (15,3), right: (15,3) ([[Eureka]])&lt;br&gt;<br /> |position = center<br /> }}<br /> |-<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle32<br /> |caption = p32, left: (16,5), right: (16,5)&lt;br&gt;Found by [[Noam Elkies]] on January 26, {{year|1995}}&lt;br&gt;<br /> |apgcode = xp32_gggxosq596y1695qsoxgggz333sssydsss333zy48i111i0i111i8zgggeeeydeeegggz333x6em84oy1o48me6x333zy511y311<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |pname = Prepulsarshuttle35<br /> |caption = p35, left: (21,3), right: (14,3)&lt;br&gt;Found by [[Matthias Merzenich]] on September 10, {{year|2021}}&lt;ref name=&quot;post135653&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp35_xkcx6icgc4go4pb88gy5g88bp4og4cgci6xckzraat11j0o1o0brq8tx11y511xt8qrb0o1o0j11taarz011lq2qk3032xc408xeeexeeex804cx2303kq2ql11zy6350kkb422w8k8y18k8w224bkk053zy6oga04508k88k8y38k88k80540agozyd252252y3252252<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle36<br /> |caption = p36, left: (20,5), right: (16,5)&lt;br&gt;Found by [[Karel Suhajda]] on June 22, {{year|2013}},&lt;ref name=&quot;post8327&quot; /&gt; partial from {{year|2008}}&lt;ref name=&quot;post8301&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp36_y6c93gg08o0o8zy53ih303rq487oa6zy4ggmlgog9hlmgbq453zy412260m88c0fo3s246z6ic88gy339lcdc9a9lmz0dllg87027y0dlooo82520fgcaikm88cz3ihy6o8o10110d8wb8n4cq2hjkcz0haary4hhhy9haahzo9hy6323g0gg0m2wq2t46b8hp56z0mll12s08sy0ml33328k80u16a95d226zc96221y3oil6m6iaildzy4g88c0d2260u3o784czy411dl131ihld1qb4kozy5o9ho0orb42s3aczy66io11023032<br /> |position = center<br /> }}<br /> |-<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle36reduced<br /> |caption = p36, left: (21,3), right: (15,3)&lt;br&gt;Found by [[David Raucci]] and reduced by [[EvinZL]] on September 10, {{year|2021}}&lt;ref name=&quot;post135651&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp36_yc252y1252zy1o4q2sgy3vy1vy3gs2q4ozckgf94jc1qa07wggy5ggw70aq1cj49fgkczxj5c5521x6221y51226x1255c5jzx11yt11<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle40<br /> |caption = p40, left: (20,5), right: (20,5)&lt;br&gt;Found by [[Dean Hickerson]] on November 4, {{year|1994}}&lt;br&gt;<br /> |apgcode = xp40_s22i8gy439e0e93y4g8i22szw129887yf788921zy1ggy2sksxsksy2ggz0oq1851y48o0o8y41581qozya3210123<br /> |position = center<br /> }}<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle42<br /> |caption = p42, edge: (20,5), centre: (22,5)&lt;br&gt;Originally found by [[Noam Elkies]] in {{year|1997}}&lt;ref name=&quot;jslife&quot;&gt;{{CiteSummersPattern|name=jslife|accessdate=July 25, 2021}}&lt;/ref&gt;; reduced by [[Dongook Lee]] on September 11, 2021&lt;ref name=&quot;post135661&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp42_xs11i8ggy16is0si6y1gg8i11szy0ghws2yd2swhgzcc0f8133y24r4x4r4y23318f0cczy666xgy1gx66z330fhoccgy12d2x2d2y1gccohf033zxg08g0jky2gg0ggy2kj0g80gzx38841y36430346y314883<br /> |position = center<br /> }}<br /> |-<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle47<br /> |caption = p47, edge: (25,5), centre: (22,5) ([[p47 pre-pulsar shuttle]])&lt;br&gt;<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle58<br /> |caption = p58, left: (29,6), right: (29,6) ([[p58 pre-pulsar shuttle]])&lt;br&gt;<br /> |position = center<br /> }}<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 12 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle60<br /> |caption = p60, left: (30,6), right: (30,6)&lt;br&gt;Found by [[Noam Elkies]] on May 30, {{year|1998}}&lt;ref name=&quot;jslife&quot; /&gt;<br /> |apgcode = xp60_xqh2y52hqz33173y737133zy227zy24ezcc8usy7su8cczx584y5485<br /> |position = center<br /> }}<br /> |-<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle64<br /> |caption = p64, left: (29,6), right: (35,6)&lt;br&gt;Found by [[praosylen]] and [[Matthias Merzenich]] on June 20, {{year|2015}}&lt;ref name=&quot;post20550&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp64_ybj9ary9ra9jzy8gwdl4exe8x8exe4ldwgzy811ddy2s51015sy2dd11zccy5gyngy5cczy077xqhbxssydssxbhqx77zy51y566y566y51zy166yx66<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle65<br /> |caption = p65, edge: (14,3), centre: (51,3)&lt;br&gt;Found and optimized by various people in July {{year|2021}}&lt;ref name=&quot;post134029&quot; /&gt;&lt;ref name=&quot;post134041&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp65_yc4s0g8o6p6o8zy9o4p78mlscslm87o4ozy639c3c1f423303324f1c3c93zy5c871w4l1gu1h1ug1l4w178czyb3373y13733zggwggcieg8oyfo8geicggwggz560v2ceb89acy2ggxggy2ca98bec2v065zw9p0f9y6fvmxmvfy69f0p9zqm0fkj7t1p5jyfj5p1t7jkf0mqzy2347011yf110743zybcsesg0g0gsesczy531e8w2a807888708a2w8e13zy6c93s3of2kss0ssk2fo3s39czy9129eh6q3j3q6he121zyc23w1169611<br /> |position = center<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 8 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle88<br /> |caption = p88, left: (44,9), right: (44,9)&lt;br&gt;Found by [[Matthias Merzenich]] in June {{year|2015}},&lt;ref name=&quot;post20476&quot; /&gt; reduced in December {{year|2019}}&lt;ref name=&quot;post86087&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp88_yc4s0s2ib8oy9o8bi2s0s4zg0g88mkkm4is0sidhk3s2dl4cy9c4ld2s3khdis0si4mkkm88g0gzh98ngj08ci1278g22u889hy18c8x8c8y1h988u22g8721ic80jgn89hz01162269521ok460v0qkgjyfjgkq0v064ko1259622611zyd56wml46y964lmw65zyhpiary9raip<br /> |position = center<br /> }}<br /> |-<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 50 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 HEIGHT 600 WIDTH 600 ]]<br /> |pname = prepulsarshuttle90<br /> |caption = p90, left: (45,9), right: (45,9)&lt;br&gt;Found by [[Dongook Lee]] on May 2, {{year|2015}}&lt;ref name=&quot;post19255&quot; /&gt;&lt;br&gt;<br /> |apgcode = xp90_xguxjpuwupjxugz618882y01w1y0288816zy5ee4zy5ss8zo0444gy8g4440oz0102uxi6vwv6ixu201zy411y011<br /> |position = center<br /> }}<br /> |}<br /> <br /> ==See also==<br /> *[[Newshuttle]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post7961&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: What do you want out of (conway's) life this year?<br /> |p = 7961<br /> |author = Matthias Merzenich<br /> |date = May 10, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post8327&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Incomplete search patterns - try to complete<br /> |p = 8327<br /> |author = Karel Suhajda<br /> |date = June 22, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post8301&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Incomplete search patterns - try to complete<br /> |p = 8301<br /> |author = Dave Greene<br /> |date = June 18, 2013<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post20550&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 20550<br /> |author = Matthias Merzenich<br /> |date = June 20, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post134029&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 134029<br /> |author = Matthias Merzenich<br /> |date = July 24, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post134041&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 134041<br /> |author = Matthias Merzenich<br /> |date = July 25, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post20476&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: List of updates since 28. August 2013 for GoL status page<br /> |p = 20476<br /> |author = Matthias Merzenich<br /> |date = June 17, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post86087&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 86087<br /> |author = Matthias Merzenich<br /> |date = December 8, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post19255&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread for your unsure discoveries<br /> |p = 19255<br /> |author = Dongook Lee<br /> |date = May 2, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post135651&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 135651<br /> |author = David Raucci<br /> |date = September 10, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post135653&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 135653<br /> |author = Matthias Merzenich<br /> |date = September 10, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post135661&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 135661<br /> |author = Dongook Lee<br /> |date = September 11, 2021<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> [[Category:Lists of patterns]]<br /> [[Category:Pages using extended apgcodes]]</div>

Praosylen https://conwaylife.com/w/index.php?title=Reflectorless_rotating_oscillator&diff=86183 2021-12-20T19:37:37Z

<p>Praosylen: </p> <hr /> <div>{{Glossary}}<br /> A '''reflectorless rotating oscillator''' (or '''looping spaceship''') - abbreviated as '''RRO''' - is a pattern that rotates itself after a certain number of [[generation]]s. There is the additional constraint that two non-interacting copies of the pattern could be combined into an [[oscillator]] with a [[period]] equal to exactly half of that of the component oscillators. This is like the [[pi orbital]], but without the stabilisation.<br /> <br /> Such patterns have long been proven to exist (see [[universal constructor]]), but none were explicitly constructed in [[Life]] until the arrival of Adam P. Goucher's [[0E0P metacell]]. One of the isotropic-rule RROs listed below can be simulated using a matching arrangement of 0E0P metacells, and the result will closely resemble the chosen RRO. However, 0E0P metacells have an unalterable orientation, so the pattern after N generations never exactly matches a rotated copy of the original until the pattern returns to its original configuration. To rectify this, four disjoint copies of the resulting oscillator, each one quarter-phase apart, can be arranged into a configuration which undergoes a 90-degree rotation every quarter of its period. This still retains the loopability constraint necessary for a classical RRO.<br /> <br /> Patterns much simpler than 0E0P metacells can also demonstrate RRO behavior. In August 2021, [[Goldtiger997]] completed a reflectorless rotating oscillator consisting mostly of a long string of [[single-channel]] gliders&lt;ref name=&quot;post135135&quot; /&gt;. These gliders represent two copies of a [[single-channel]] recipe for the construction of the four corners of a diamond-shaped signal loop. The first string of recipe gliders builds the loop, which catches the second string of gliders and then sends out two copies of them in a new direction, before self-destructing. See the [[SSOL]] article for more details about a self-constructing memory loop that uses the same technology.<br /> <br /> Alternatively, the term '''RRO''' may refer to any statorless oscillator that rotates itself after a certain number of generations. The term &quot;statorless rotating oscillator&quot; is sometimes used to refer to these, as opposed to &quot;classical&quot; RROs. [[Blinker]]s or [[monogram]]s could technically be considered to be degenerate rotating oscillators, turning 90 degrees on every half-period. Rotationally symmetric objects such as [[clock II]] (or any oscillator where period = 4*mod, such as [[pinwheel]] and [[sixty-nine]]) are certainly rotating oscillators. However, most such patterns have stator cells, and more importantly they do not fulfill the additional constraint of allowing for two or more non-interacting copies of the rotor, so they are definitely not &quot;loopable&quot; RROs.<br /> <br /> Special-purpose true RROs could be constructed using known universal-constructor technology, which would be much simpler and lower population than a single-loop pseudo-RRO or multi-loop true RRO based on 0E0P metacells. A universal constructor-based RRO has no limit on the number of independent patterns that can orbit a single point.<br /> <br /> ==Other rules==<br /> <br /> ===Outer-totalistic rules===<br /> <br /> [[File:Xp272 757w9.png|thumb|right|Reflectorless rotating oscillator in B02348/S0123.&lt;br /&gt;{{LinkCatagolue|xp272_757w9|rule=b02348s0123|style=brief}}&lt;br /&gt;Twofold: {{LinkCatagolue|xp136_w1ee5jzzgzca778|rule=b02348s0123|style=brief}}]]<br /> There is only one known [[elementary]] reflectorless rotating oscillator in an outer-totalistic [[Life-like cellular automaton]]. It exists in B02348/S0123, and has a period of 272. It is technically not a classical RRO, because two copies combined into a half-period oscillator interact but do not interfere with each other.<br /> <br /> ===Isotropic non-totalistic rules===<br /> [[File:Xp420 59qkxs.png|thumb|left|Reflectorless rotating oscillator in B2i34ik7/S23-a4ikn5j7.&lt;br /&gt;{{LinkCatagolue|xp420_59qkxs|rule=b2i34ik7s23-a4ikn5j7|style=brief}}]]<br /> Multiple reflectorless rotating oscillators have been found in [[isotropic non-totalistic]] rules, especially recently:<br /> * dmqwerty425 discovered a period-420 reflectorless rotating oscillator in B2i34ik7/S23-a4ikn5j7 on Catagolue in November 2016.&lt;ref name=&quot;post37225&quot; /&gt;<br /> * dani discovered a period-184 reflectorless rotating oscillator in B3/S23-a4i5i6ci in July 2017.&lt;ref name=&quot;post46748&quot; /&gt;<br /> * Rhombic discovered a period-72 reflectorless rotating oscillator in B2e3-a4a/S1c23-aky in August 2017.&lt;ref name=&quot;post48366&quot; /&gt;<br /> * Saka discovered a period-68 reflectorless rotating oscillator in B3-n4rtw5i/S23-n4q5i in August 2017.&lt;ref name=&quot;post48513&quot; /&gt;<br /> * 2718281828 discovered a number of loopable RROs, with 2-, 3-, 4-, 5-, and even 6-fold loopability, in July 2018.&lt;ref name=&quot;post62035&quot; /&gt;<br /> * AforAmpere discovered a 10-fold RRO, period 500, in B3aeijr4jz5ckr6cin7c8/S2-i3-ak4ceinrtz5cej6ce7c8. 15 copies of the oscillator will fit in the same loop, but without reducing the period.&lt;ref name=&quot;post78513&quot; /&gt;<br /> * AforAmpere also discovered an RRO with 11-fold loopability in B3-cnqy4j5ckr6cn8/S2-i3-ak4ceinrtz5cj6ci7c8, allowing the period 616 oscillator to be reduced to period 56.&lt;ref name=&quot;post78513&quot; /&gt;<br /> <br /> Another wave of record-breaking highly loopable reflectorless rotating oscillators followed in mid-July 2019, namely:<br /> <br /> * 2718281828 discovered a {1,2,4,5,10,20}-loopable RRO in B2n3-k4cj5ek67/S2n3-jk4acikrty5cr678 on 16th July, followed by a {1,2,4,7,14,28}-loopable RRO in B2n3-k4jq5k67/S2n3-jy4aikrty5cr678 and a {1,2,3,4,6,9,12,18,36}-loopable RRO in B3-k4cejqz5e6-e78/S2n3-jk4-cjnw5c678.<br /> * AforAmpere discovered a {2,3,4,6,12,17,19,34,38,51,57}-loopable RRO in B34cjq5e6-en78/S2n3-jk4-jnqw5ceky678.<br /> * 2718281828 discovered a {1,2,3,4,6,12,13,26,29,39,52,58}-loopable RRO in B2in3-kq4cjy5eky6-e78/S3-jk4-cjnw5ce678.<br /> * AforAmpere discovered a {1,2,4,17,34,68,89}-loopable RRO in B2i3-k4cjqyz5ey6-en78/S2n3-j4-jnwy5cky678.<br /> <br /> The last of these, for example, makes it trivial to construct an 89-loopable RRO in B3/S23 using the [[0E0P metacell]].<br /> <br /> ===Larger than Life===<br /> One reflectorless rotating oscillator has been found in a [[Larger than Life]] rule, discovered by Dean Hickerson with a period of 552. He placed eight copies in a circle, yielding a period-69 oscillator. [[Dave Greene]] noticed that twelve copies can orbit a central point with period 46.&lt;ref name=&quot;post43299&quot; /&gt;<br /> <br /> &lt;gallery&gt;<br /> File:Deanhickersons p552 RRO.png|Dean Hickerson's period-552 reflectorless rotating oscillator in the Larger than Life rule R7,C0,M1,S65..114,B65..95,NM.&lt;br&gt;{{LinkCatagolue|xp552_0gsuvvvvvuszevvv33133vvvezw377777733|rule=r7b65t95s65t114|style=brief}}<br /> File:Deanhickersons p552 RRO 12fold p46.png|Dave Greene's 12-fold, period-46 version of Dean Hickerson's period-552 RRO.<br /> &lt;/gallery&gt;<br /> <br /> ==Classification &amp; Multiplicity==<br /> A method for classifying RROs by the amount of times they can fit into a single loop in a way that evenly divides the period has been discussed;&lt;ref name=&quot;post47086&quot; /&gt; by this logic, patterns such as the p160 oscillator in [[tlife]], the p32 in B378/S23, the p88 in B36ce7c/S23-y, and the natural gun in [[Pedestrian Life]] could be classed as reflectorless rotating oscillators with a ''loopability'' of 1.<br /> <br /> The '''multiplicity''' of a reflectorless rotating oscillator is the ''maximum'' number ''n'' of independent patterns that can orbit a single point, in a way that reduces the period of the combined oscillator by a factor of ''n''. <br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post37225&quot;&gt;{{LinkForumThread<br /> |f = 11<br /> |t = 1638<br /> |p = 37225<br /> |title = Re: Soup search results in rules other than Conway's Life<br /> |format = ref<br /> |author = praosylen<br /> |date = November 10, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post43299&quot;&gt;{{LinkForumThread<br /> |f = 12<br /> |t = 2853<br /> |p = 43299<br /> |title = Re: Abstract Art<br /> |format = ref<br /> |author = Dave Greene<br /> |date = May 7, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post46748&quot;&gt;{{LinkForumThread<br /> |f = 7<br /> |t = 2036<br /> |p = 46748<br /> |title = Re: Thread for basic questions<br /> |format = ref<br /> |author = dani<br /> |date = July 16, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post48366&quot;&gt;{{LinkForumThread<br /> |f = 11<br /> |t = 1971<br /> |p = 48366<br /> |title = Re: Miscellaneous Discoveries in Other Cellular Automata<br /> |format = ref<br /> |author = Rhombic<br /> |date = August 8, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post48513&quot;&gt;{{LinkForumThread<br /> |f = 11<br /> |t = 376<br /> |p = 48513<br /> |title = Re: Thread for Your Accidental Discoveries that Aren't in CGOL<br /> |format = ref<br /> |author = Saka<br /> |date = August 10, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post62035&quot;&gt;{{LinkForumThread<br /> |f = 11<br /> |t = 3447<br /> |p = 62035<br /> |title = Re: Reflectorless Rotating Oscillators (RRO)<br /> |format = ref<br /> |author = 2718281828<br /> |date = July 20, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post47086&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread for basic non-CGOL questions<br /> |p = 47086<br /> |author = Connor Steppie<br /> |date = July 22, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post78513&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Reflectorless Rotating Oscillators (RRO)<br /> |p = 78513<br /> |author = AforAmpere<br /> |date = June 27, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post135135&quot;&gt;{{LinkForumThread<br /> |p = 135135<br /> |title = Re: Reflectorless Rotating Oscillator Discussion Thread in Life<br /> |format = ref<br /> |author = Goldtiger997<br /> |date = August 21, 2021<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_r.htm#reflectorlessrotatingoscillator}}<br /> {{LinkLexicon|filename=lex_m.htm#multiplicity|patternname=Multiplicity}}<br /> {{LinkForumThread|f=2|t=393|title=Rotary oscillators?}}<br /> <br /> __NOTOC__</div>

Praosylen https://conwaylife.com/w/index.php?title=Toad&diff=86182 2021-12-20T19:36:53Z

<p>Praosylen: I think by this point I&#039;ve finally turned into one, like dvgrn warned</p> <hr /> <div>{{Oscillator<br /> |name = Toad<br /> |pname = toad<br /> |c = 6<br /> |bx = 4<br /> |by = 4<br /> |fc = 7.1<br /> |p = 2<br /> |m = 2<br /> |h = 8<br /> |v = 0.80<br /> |rotor = Toad<br /> |discoverer = Simon Norton<br /> |discoveryear = 1970<br /> |rulemin = B3/S2<br /> |rulemax = B345678/S0235678<br /> |rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]]<br /> |isorulemin = B3aijq/S2ak<br /> |isorulemax = B2cin345678/S0234-ar5678<br /> |synthesis = 3<br /> |synthesisRLE = true<br /> |plaintext = true<br /> |rle = true<br /> |animated = true<br /> |viewerconfig = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]<br /> |pentadecathlonid = 6P2.1<br /> |apgcode = xp2_7e<br /> }}<br /> '''Toad''' is a {{period|2}} [[oscillator]] that was found by [[Simon Norton]] in May {{year|1970}}.&lt;ref&gt;{{CiteHickersonOscillators|accessdate=March 14, 2020}}&lt;/ref&gt; It is one of very few known oscillators that is a [[polyomino]] in one of its [[phase]]s. Toads often appear in large, complex patterns because of their ability to eat things when paired together (as in [[killer toads]]). Additionally, toads are useful as building blocks for constructing large oscillators with periods that are a multiple of two because of the various ways in which they can be [[hassle|hassled]].<br /> <br /> ==[[List of common oscillators|Commonness]]==<br /> Toad is the second most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]], although [[blinker]]s occur more than a hundred times as frequently.&lt;ref&gt;{{citeAchim|accessdate=January 15, 2009}}&lt;/ref&gt; It is also the eleventh most common object on [[Adam P. Goucher]]'s [[Catagolue]].&lt;ref&gt;{{citeCatagolueStats|June 24, 2016}}&lt;/ref&gt;<br /> <br /> Toads have a tendency to be destroyed after being created; this happens in both the [[century]] and [[two-glider octomino]] sequences. Frequency lists typically include only surviving objects.<br /> <br /> ==Toad hasslers==<br /> A '''toad flipper''' is a hassler that works by having two [[domino]] [[spark]]ers ([[pentadecathlon]]s in the example shown below) apply their sparks to the toad in order to flip it over.&lt;ref&gt;{{CiteLexicon|file=lex_t.htm#toadflipper|name=Toad-flipper|accessdate=May 16, 2009}}&lt;/ref&gt; When the sparks are applied again, the toad is flipped back. Either or both domino sparkers can be moved down two [[cell]]s from the position shown and the toad flipper will still work, but because of symmetry there are really only two different types of toad flippers. For another example of a toad flipper, see [[186P24]] and the period 4 [[turning toads]] [[wick]].<br /> <br /> A '''toad sucker''' is a toad hassler that works by having two domino sparkers (pentadecathlons in the example shown below) apply their sparks to the toad in order to shift it.&lt;ref&gt;{{CiteLexicon|file=lex_t.htm#toadsucker|name=Toad-sucker|accessdate=May 16, 2009}}&lt;/ref&gt; When the sparks are applied again, the toad is shifted back. Either or both domino sparkers can be moved down two cells from the position shown and the toad sucker will still work, but because of symmetry there are really only three different types of toad suckers. A p4 example is shown in the &quot;subsequent improvement of the p44 gun&quot; as a sparker in the [[p44 pi-heptomino hassler]] article.<br /> Additionally, moving toad suckers have been created that use the domino sparks from two parallel even-period spaceships to escort a toad.<br /> <br /> It is also possible to simultaneously shift and flip a toad using one domino spark. However, the domino spark must be inserted in a special way that would not result in a domino spark without the toad. Two spaceships that are suitable sparkers, one on each side, can escort a toad similarly to the moving toad suckers mentioned earlier except that the amalgamation moves two squares orthogonal per period instead of one square orthogonal per period.&lt;ref&gt;{{LinkForumThread | format = ref | title = Re: Thread for your Trolls | p = 116330 | author = praosylen | date = December 18, 2020 }}&lt;/ref&gt;<br /> <br /> ==As an induction coil==<br /> Toads can be used as an induction coil where the number of cells in the row alternates between two numbers one apart. An example in Dean Hickerson's oscillator collection, where the row alternates between 5 and 6 cells, can be seen in the gallery below.<br /> <br /> ==Gallery==<br /> {| <br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ AUTOSTART GPS 15 LOOP 60 ]]<br /> |pname = toadflipper<br /> |position = center<br /> |caption = p60 toad flipper&lt;br&gt;<br /> |apgcode = xp60_vtvy1esy1vtvz757y8757<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ AUTOSTART GPS 15 LOOP 60 ]]<br /> |pname = toadsucker<br /> |position = center<br /> |caption = p60 toad sucker&lt;br&gt;<br /> |apgcode = xp60_uquy1sey1vtvzfbfy8757<br /> }}<br /> |-<br /> || {{EmbedViewer<br /> |pname = toadescorts<br /> |position = center<br /> |caption = Left: two copies of [[46P4H1V0]] escorting a toad at [[c/4 orthogonal]]&lt;br&gt;Right: [[dragon]]s escorting a toad at [[c/6 orthogonal]] in two different ways&lt;br&gt;<br /> }}<br /> || {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 30 ]]<br /> |pname = toadflipperandescorter<br /> |position = center<br /> |caption = two copies of a 2c/4 spaceship escorting and flipping a toad&lt;br&gt;<br /> }}<br /> |-<br /> ||{{EmbedViewer<br /> |pname = toadinductioncoil<br /> |position = center<br /> |viewerconfig = #C [[ GPS 2 AUTOSTART ]]<br /> |caption = An example of toads being used as an induction coil&lt;br/&gt;<br /> }}<br /> |}<br /> <br /> ==See also==<br /> *[[Pentoad]]<br /> *[[Tritoad]]<br /> *[[Turning toads]]<br /> <br /> ==References==<br /> &lt;references /&gt;<br /> <br /> ==External links==<br /> {{LinkNiemiec|p2osc.htm#6-bit%20p2|patternname=Life Period-2 Oscillators (six-bit)}}<br /> {{LinkLexicon|lex_t.htm#toad}}<br /> {{LinkCatagolue|xp2_7e}}<br /> {{LinkPentadecathlonObject|6P2.1}}<br /> <br /> {{Symmetry|180degree}}<br /> __NOTOC__</div>

Praosylen https://conwaylife.com/w/index.php?title=Isotropic_non-totalistic_rule&diff=86181 2021-12-20T19:35:15Z

<p>Praosylen: oh great, I forgot about my own old apgsearch versions...</p> <hr /> <div>An '''isotropic non-totalistic Life-like cellular automaton''' is a generalization of the concept of a [[Life-like cellular automaton]] in which transitions take into account not only the total number of live neighbors of a cell, but also the relative configuration of those neighbors. <br /> <br /> [[Isotropic]] non-totalistic rules are described using several different classes of notation.<br /> <br /> == Rulespaces ==<br /> <br /> === Moore neighbourhood ===<br /> <br /> [[Isotropic]] non-totalistic rules are described using Hensel notation, an extension of [[rulestring|B/S notation]] developed by [[Alan Hensel]] additionally describing allowed or forbidden configurations. Each digit in the rule's birth and survival conditions is followed by an optional suffix, with each allowed configuration described by a specific letter; a minus sign may be used to forbid configurations rather than allow them. If no configurations are specified, all are considered to be allowed, as in the totalistic case. This notation is not used by [[non-isotropic Life-like cellular automata]].<br /> <br /> For instance, B2-a/S12 (the [[Just Friends]] rule) indicates that a dead cell will be born with 2 neighbors, except when they are adjacent (indicated by the &quot;-a&quot;), and that a live cell will survive with 1 or 2 neighbors in any configuration. This exclusion of the &quot;B2a&quot; transition prevents the rule from exploding in a similar manner as [[Seeds]].<br /> <br /> This notation has the following symmetry: For any letter ''x'' and number ''n''≠4, ''nx'' is defined if and only (8-''n'')''x'' is defined and moreover (8-''n'')''x'' is the complement (change live cells to dead and dead cells to live; ignore the center cell) of ''nx''.<br /> <br /> Alongside the convential Moore neighbourhood, this notation can also be used to describe transitions on the 8-cell &quot;exploded&quot; Moore neighbourhoods,&lt;ref name=&quot;post128801&quot; /&gt; such as the &quot;Far Corners&quot; and &quot;Far Edges&quot; neighbourhoods supported by CAViewer.<br /> <br /> The following table describes all possible neighborhood configurations for the [[Moore neighbourhood]] of range 1:<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;margin-left: auto; margin-right: auto; border: none;&quot;<br /> | style=&quot;border: none; background: #fff;&quot; |<br /> ! 0 !! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 !! 8<br /> |-<br /> ! —&lt;small style=&quot;font-weight: normal;&quot;&gt; (no&lt;br/&gt;letter)&lt;/small&gt;<br /> | [[File:Neighborhood 0.png]] || || || || || || || || [[File:Neighborhood 8.png]]<br /> |-<br /> ! c&lt;br/&gt;&lt;small style=&quot;font-weight: normal;&quot;&gt;(corner)&lt;/small&gt;<br /> | || [[File:Neighborhood 1c.png]] || [[File:Neighborhood 2c.png]] || [[File:Neighborhood 3c.png]] || [[File:Neighborhood 4c.png]] || [[File:Neighborhood 5c.png]] || [[File:Neighborhood 6c.png]] || [[File:Neighborhood 7c.png]] || <br /> |-<br /> ! e&lt;br/&gt;&lt;small style=&quot;font-weight: normal;&quot;&gt;(edge)&lt;/small&gt;<br /> | || [[File:Neighborhood 1e.png]] || [[File:Neighborhood 2e.png]] || [[File:Neighborhood 3e.png]] || [[File:Neighborhood 4e.png]] || [[File:Neighborhood 5e.png]] || [[File:Neighborhood 6e.png]] || [[File:Neighborhood 7e.png]] || <br /> |-<br /> ! k&lt;br/&gt;&lt;small style=&quot;font-weight: normal;&quot;&gt;(knight)&lt;/small&gt;<br /> | || || [[File:Neighborhood 2k.png]] || [[File:Neighborhood 3k.png]] || [[File:Neighborhood 4k.png]] || [[File:Neighborhood 5k.png]] || [[File:Neighborhood 6k.png]] || || <br /> |-<br /> ! a&lt;br/&gt;&lt;small style=&quot;font-weight: normal;&quot;&gt;(adjacent)&lt;/small&gt;<br /> | || || [[File:Neighborhood 2a.png]] || [[File:Neighborhood 3a.png]] || [[File:Neighborhood 4a.png]] || [[File:Neighborhood 5a.png]] || [[File:Neighborhood 6a.png]] || || <br /> |-<br /> ! i<br /> | || || [[File:Neighborhood 2i.png]] || [[File:Neighborhood 3i.png]] || [[File:Neighborhood 4i.png]] || [[File:Neighborhood 5i.png]] || [[File:Neighborhood 6i.png]] || || <br /> |-<br /> ! n<br /> | || || [[File:Neighborhood 2n.png]] || [[File:Neighborhood 3n.png]] || [[File:Neighborhood 4n.png]] || [[File:Neighborhood 5n.png]] || [[File:Neighborhood 6n.png]] || || <br /> |-<br /> ! y<br /> | || || || [[File:Neighborhood 3y.png]] || [[File:Neighborhood 4y.png]] || [[File:Neighborhood 5y.png]] || || || <br /> |-<br /> ! q<br /> | || || || [[File:Neighborhood 3q.png]] || [[File:Neighborhood 4q.png]] || [[File:Neighborhood 5q.png]] || || || <br /> |-<br /> ! j<br /> | || || || [[File:Neighborhood 3j.png]] || [[File:Neighborhood 4j.png]] || [[File:Neighborhood 5j.png]] || || || <br /> |-<br /> ! r<br /> | || || || [[File:Neighborhood 3r.png]] || [[File:Neighborhood 4r.png]] || [[File:Neighborhood 5r.png]] || || || <br /> |-<br /> ! t<br /> | || || || || [[File:Neighborhood 4t.png]] || || || || <br /> |-<br /> ! w<br /> | || || || || [[File:Neighborhood 4w.png]] || || || || <br /> |-<br /> ! z<br /> | || || || || [[File:Neighborhood 4z.png]] || || || || <br /> |}<br /> <br /> Rules using the [[von Neumann neighbourhood]] can be simulated via isotropic non-totalistic rules on the Moore neighbourhood; for example, B1/SV becomes B1e2ak3inqy4ny5e/S.<br /> <br /> === Range-2 von Neumann neighbourhood ===<br /> There are 618 different transitions possible in the range-2 von Neumann neighbourhood. Four notations have been proposed as of February 2018.&lt;ref name=&quot;post70180&quot; /&gt;<br /> <br /> The currently accepted notation is the Feb 24 notation by [[AForAmpere]] and [[MiloJacquet]].&lt;ref name=&quot;post71574&quot; /&gt;<br /> <br /> For each transition, use the transition corresponding to the configuration of the center 8 cells, aligned with the canonical directions in the table above. Then take the outside 4 cells, and depending on the configurations in the table below, add that letter.<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;margin-left: auto; margin-right: auto; border: none;&quot;<br /> | style=&quot;border: none; background: #fff;&quot; |<br /> ! a !! c !! d !! e !! f !! g !! i !! j<br /> |-<br /> ! —<br /> | [[File:Outer4 a.png|70px]] || [[File:Outer4 c.png|70px]] || [[File:Outer4 d.png|70px]] || [[File:Outer4 e.png|70px]] || [[File:Outer4 f.png|70px]] || [[File:Outer4 g.png|70px]] || [[File:Outer4 i.png|70px]] || [[File:Outer4 j.png|70px]]<br /> |}<br /> {| class=&quot;wikitable&quot; style=&quot;margin-left: auto; margin-right: auto; border: none;&quot;<br /> | style=&quot;border: none; background: #fff;&quot; |<br /> ! k !! l !! m !! n !! o !! p !! q !! r<br /> |-<br /> ! —<br /> | [[File:Outer4 k.png|70px]] || [[File:Outer4 l.png|70px]] || [[File:Outer4 m.png|70px]] || [[File:Outer4 n.png|70px]] || [[File:Outer4 o.png|70px]] || [[File:Outer4 p.png|70px]] || [[File:Outer4 q.png|70px]] || [[File:Outer4 r.png|70px]]<br /> |}<br /> <br /> For transitions that are the same under reflections or rotations, the canonical transition is the lowest alphabetically.<br /> <br /> 'x' is used after a totalistic number. For example, 'B3x2ic1ei5x-3kr/S0x8x'.<br /> <br /> [[bubblegum]] has also proposed to use the 'v' character to represent outer totalistic transitions for the inner 8 cells.&lt;ref name=&quot;post102838&quot; /&gt;<br /> <br /> As of 27 November 2020, the only cellular automaton simulation software natively supports such rules is [[CAViewer]].&lt;ref name=&quot;post113480&quot;/&gt;<br /> <br /> An earlier proposed notation for range-2 von Neumann isotropic non-totalistic rules is based on Hensel notation.&lt;ref name=&quot;post71574&quot; /&gt; It never entered common use.<br /> <br /> === Range-2 cross neighbourhood ===<br /> A proposal for this neighbourhood was mistakenly created in 2017,&lt;ref name=&quot;post50386&quot; /&gt; and a second notation was created in mid-2020.&lt;ref name=&quot;post101003&quot; /&gt;<br /> <br /> === Range-2 knight neighbourhood ===<br /> A notation for this was proposed in mid-2020.&lt;ref name=&quot;post101003&quot;/&gt;<br /> <br /> === 3-state Moore neighbourhood ===<br /> <br /> A notation for 3-state range-1 rules is underway.&lt;ref name=&quot;post87744&quot; /&gt;<br /> <br /> === Hexagonal neighbourhood ===<br /> {{main|Hexagonal neighbourhood}}<br /> It is possible to define isotropic non-totalistic Life-like CAs on a hexagonal grid as well. The following table describes all possible neighborhood configurations for the [[hexagonal neighbourhood]], using notation due to [[Paul Callahan]];&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/ref/lifepage/hexrule.txt|title=Experiments with a somewhat &quot;Life-like&quot; hexagonal CA (long)|author=Paul Callahan|date=December 3, 1997|accessdate=September 29, 2017}}&lt;/ref&gt;&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/download/file.php?id=261|title=ExtendedCallahanHexagonal.gif|work=ConwayLife.com forums|accessdate=July 22, 2017}}&lt;/ref&gt; the names ''ortho'', ''meta'' and ''para'' were chosen in analogy to [https://en.wikipedia.org/wiki/Arene_substitution_pattern arene substitution patterns] in aromatic chemistry:<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;margin-left: auto; margin-right: auto; border: none;&quot;<br /> | style=&quot;border: none; background: #fff;&quot; |<br /> ! 0 !! 1 !! 2 !! 3 !! 4 !! 5 !! 6<br /> |-<br /> ! —&lt;small style=&quot;font-weight: normal;&quot;&gt; (no&lt;br/&gt;letter)&lt;/small&gt;<br /> | [[File:Hexagonal neighborhood 0.png]] || [[File:Hexagonal neighborhood 1.png]] || || || || [[File:Hexagonal neighborhood 5.png]] || [[File:Hexagonal neighborhood 6.png]]<br /> |-<br /> ! o&lt;br/&gt;&lt;small style=&quot;font-weight: normal;&quot;&gt;(ortho)&lt;/small&gt;<br /> | || || [[File:Hexagonal neighborhood 2o.png]] || [[File:Hexagonal neighborhood 3o.png]] || [[File:Hexagonal neighborhood 4o.png]] || || <br /> |-<br /> ! m&lt;br/&gt;&lt;small style=&quot;font-weight: normal;&quot;&gt;(meta)&lt;/small&gt;<br /> | || || [[File:Hexagonal neighborhood 2m.png]] || [[File:Hexagonal neighborhood 3m.png]] || [[File:Hexagonal neighborhood 4m.png]] || || <br /> |-<br /> ! p&lt;br/&gt;&lt;small style=&quot;font-weight: normal;&quot;&gt;(para)&lt;/small&gt;<br /> | || || [[File:Hexagonal neighborhood 2p.png]] || [[File:Hexagonal neighborhood 3p.png]] || [[File:Hexagonal neighborhood 4p.png]] || || <br /> |}<br /> <br /> [[Golly]] does not support isotropic non-totalistic hexagonal rules using this syntax, so they must instead be simulated using either rule tables or [[Non-isotropic Life-like cellular automaton|MAP strings]]. [[LifeViewer]] and [[lifelib]] support them natively.<br /> <br /> === Table of isotropic non-totalistic rulespaces ===<br /> <br /> The number of unique transitions for higher ranges tends to be extremely large, and the development of notations for such rules is generally infeasible. The following table documents notable examples:<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;text-align:center;&quot;<br /> ! rowspan=&quot;2&quot; | Common name<br /> ! colspan=&quot;4&quot; | Rulespace definitions<br /> ! rowspan=&quot;2&quot; | Transitions<br /> ! rowspan=&quot;2&quot; | Notated?<br /> ! colspan=&quot;3&quot; | Major software support<br /> |-<br /> ! Grid<br /> ! Range<br /> ! States<br /> ! Neighbourhood<br /> ! Golly<br /> ! LifeViewer<br /> ! lifelib<br /> |-<br /> ! Block cellular automata<br /> | {4,4}<br /> | 1/2<br /> | 2<br /> | Moore<br /> | 6<br /> | style=&quot;background-color:#c6efce;&quot; | [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=3243&amp;p=55536#p55536 Yes]<br /> | colspan=&quot;3&quot; style=&quot;background-color:#c6efce;&quot; | (Unnecessary)<br /> |-<br /> ! -<br /> | {4,4}<br /> | 1<br /> | 2<br /> | von Neumann<br /> | 6&lt;ref group=&quot;n&quot;&gt;For n amount of states, the number of unique transitions is given by the doubly triangular numbers: A002817&lt;/ref&gt;<br /> | style=&quot;background-color:#c6efce;&quot; | Trivial<br /> | colspan=&quot;3&quot; style=&quot;background-color:#c6efce;&quot; | (Unnecessary)<br /> |-<br /> ! Non-totalistic hexagonal<br /> | {6,3}<br /> | 1<br /> | 2<br /> | hexagonal<br /> | 13<br /> | style=&quot;background-color:#c6efce;&quot; | [https://www.conwaylife.com/ref/lifepage/hexrule.txt Yes]<br /> | style=&quot;background-color:#ffc7ce;&quot; | No&lt;ref group=&quot;n&quot;&gt;The rulespace can be simulated via MAP strings, or, less preferably, ruletables, however no direct support for the notation exists.&lt;/ref&gt;<br /> | style=&quot;background-color:#c6efce;&quot; | Yes<br /> | style=&quot;background-color:#c6efce;&quot; | Yes<br /> |-<br /> ! Knight INT<br /> | {4,4}<br /> | 2<br /> | 2<br /> | knight<br /> | 43<br /> | style=&quot;background-color:#c6efce;&quot; | [https://www.conwaylife.com/forums/viewtopic.php?f=3&amp;t=1622&amp;p=101003#p101003 Yes]<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! Isotropic non-totalistic<br /> | {4,4}<br /> | 1<br /> | 2<br /> | Moore<br /> | 51<br /> | style=&quot;background-color:#c6efce;&quot; | [http://www.ibiblio.org/lifepatterns/neighbors2.html Yes]<br /> | style=&quot;background-color:#c6efce;&quot; | Yes<br /> | style=&quot;background-color:#c6efce;&quot; | Yes<br /> | style=&quot;background-color:#c6efce;&quot; | Yes<br /> |-<br /> ! Exploded<br /> | {4,4}<br /> | ≥1<br /> | 2<br /> | variable&lt;ref group=&quot;n&quot;&gt;Based on the Moore neighbourhood, with the four edge cells and/or the four corner cells moved away from the origin a defined distance.&lt;/ref&gt;<br /> | 51<br /> | style=&quot;background-color:#c6efce;&quot; | [https://www.conwaylife.com/forums/viewtopic.php?f=11&amp;t=4763#p128801 Yes]<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffffdd;&quot; | Some&lt;ref group=&quot;n&quot;&gt;The range-2 &quot;far corners&quot; and range-3 &quot;far edges&quot; cases are supported, but the general case of exploded Moore neighbourhoods are not.&lt;/ref&gt;<br /> |-<br /> ! Cross INT<br /> | {4,4}<br /> | 2<br /> | 2<br /> | cross<br /> | 55<br /> | style=&quot;background-color:#c6efce;&quot; | [https://www.conwaylife.com/forums/viewtopic.php?f=3&amp;t=1622&amp;p=101003#p101003 Yes]<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! -<br /> | {4,4}<br /> | 2<br /> | 2<br /> | nonstandard&lt;ref group=&quot;n&quot;&gt;A &quot;circle&quot; formed of four three-cell lines at distance 2 from the center&lt;/ref&gt;<br /> | 570<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! -<br /> | {4,4}<br /> | 2<br /> | 2<br /> | nonstandard&lt;ref group=&quot;n&quot;&gt;Four &quot;pre-blocks&quot; with the gaps facing the center&lt;/ref&gt;<br /> | 570<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! -<br /> | {4,4}<br /> | 2<br /> | 2<br /> | nonstandard&lt;ref group=&quot;n&quot;&gt;Four &quot;pre-blocks&quot; with the gaps facing outwards&lt;/ref&gt;<br /> | 570<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! R2 von Neumann INT<br /> | {4,4}<br /> | 2<br /> | 2<br /> | von Neumann<br /> | 618<br /> | style=&quot;background-color:#c6efce;&quot; | [https://www.conwaylife.com/forums/viewtopic.php?t=&amp;p=70180#p70180 Yes]<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#c6efce;&quot; | Yes<br /> |-<br /> ! -<br /> | {4,4}<br /> | 2<br /> | 2<br /> | nonstandard&lt;ref group=&quot;n&quot;&gt;Range-1 Moore, with added range-2 corners&lt;/ref&gt;<br /> | 618<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! 3-state knight INT<br /> | {4,4}<br /> | 2<br /> | 3<br /> | knight<br /> | 873<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! 3-state INT<br /> | {4,4}<br /> | 1<br /> | 3<br /> | Moore<br /> | 954<br /> | style=&quot;background-color:#ffffdd;&quot; | WIP<br /> | style=&quot;background-color:#ffc7ce;&quot; | No&lt;ref group=&quot;n&quot; name=&quot;no3&quot;&gt;The rulespace can be simulated via ruletables, however no direct support for the notation exists.&lt;/ref&gt;<br /> | style=&quot;background-color:#ffc7ce;&quot; | No&lt;ref group=&quot;n&quot; name=&quot;no3&quot;/&gt;<br /> | style=&quot;background-color:#ffc7ce;&quot; | No&lt;ref group=&quot;n&quot; name=&quot;no3&quot;/&gt;<br /> |-<br /> ! 3-state cross INT<br /> | {4,4}<br /> | 2<br /> | 3<br /> | cross<br /> | 1035<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! 4-state knight INT<br /> | {4,4}<br /> | 2<br /> | 4<br /> | knight<br /> | 8356<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! 4-state INT<br /> | {4,4}<br /> | 1<br /> | 4<br /> | Moore<br /> | 8740<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No&lt;ref group=&quot;n&quot; name=&quot;no3&quot;/&gt;<br /> | style=&quot;background-color:#ffc7ce;&quot; | No&lt;ref group=&quot;n&quot; name=&quot;no3&quot;/&gt;<br /> | style=&quot;background-color:#ffc7ce;&quot; | No&lt;ref group=&quot;n&quot; name=&quot;no3&quot;/&gt;<br /> |-<br /> ! 4-state cross INT<br /> | {4,4}<br /> | 2<br /> | 4<br /> | cross<br /> | 9316<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! R2 hexagonal INT<br /> | {6,3}<br /> | 2<br /> | 2<br /> | hexagonal<br /> | 22668<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! 3-state R2 vN INT<br /> | {4,4}<br /> | 2<br /> | 3<br /> | von Neumann<br /> | 68715<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! R2 Moore-without-corners<br /> | {4,4}<br /> | 2<br /> | 2<br /> | circular<br /> | 132744<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! 3D non-totalistic<br /> | {4,3,4}<br /> | 1<br /> | 2<br /> | Moore<br /> | 1426144&lt;ref group=&quot;n&quot;&gt;Upper bound; calculations by Milo Jacquet returned this number of transitions, however calculations by wildmyron returned 1426132&lt;/ref&gt;<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |-<br /> ! R2 Moore INT<br /> | {4,4}<br /> | 2<br /> | 2<br /> | Moore<br /> | 2105872<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> | style=&quot;background-color:#ffc7ce;&quot; | No<br /> |}<br /> &lt;references group=&quot;n&quot;/&gt;<br /> <br /> == Soup-searching non-totalistic rules ==<br /> [[Adam P. Goucher]]'s [[apgsearch]] was modified to support isotropic non-totalistic rules by [[praosylen]] on December 17, 2015.&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=9&amp;t=1480&amp;p=25942#p25942|author=praosylen|title=Re: Hacking apgsearch|date=December 17, 2015|accessdate=June 12, 2016|work=ConwayLife.com forums}}&lt;/ref&gt; This hacked version was later modified in late January 2016 to be able to upload the search results to [[Catagolue]].&lt;ref&gt;{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?f=7&amp;t=1784&amp;start=225#p26878|author=Adam P. Goucher|title=Re: apgsearch v2.2|date=January 21, 2016|accessdate=June 12, 2016|work=ConwayLife.com forums}}&lt;/ref&gt; However, apgsearch did not gain native support for these rules until v4.2, released on September 10, 2017, which can search isotropic non-totalistic rules without [[B0]].&lt;ref name=&quot;post50771&quot; /&gt; v4.66 and above also support the searching of isotropic hexagonal neighborhood rules.&lt;ref&gt;{{cite web|title = Re: Non-totalistic hex rules|author = Adam P. Goucher|date = December 1, 2018|accessdate = December 1, 2018|url = https://www.conwaylife.com/forums/viewtopic.php?p=66090#p66090|work=ConwayLife.com forums}}&lt;/ref&gt; Range 2 von Neumann isotropic rules can also be search via the means of a ruletable using a custom neighbourhood.&lt;ref name=&quot;post99110&quot; /&gt;<br /> <br /> == See also ==<br /> * [[Totalistic Life-like cellular automaton]]<br /> * [[Non-isotropic Life-like cellular automaton]]<br /> * [[Generations]]<br /> * [[Larger than Life]]<br /> * [[Weighted Life]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post128801&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Lemon41625's Cellular Automaton<br /> |p = 128801<br /> |author = Connor Steppie<br /> |date = April 23, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post71574&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Range-2 von Neumann isotropic non-totalistic rulespace<br /> |p = 71574<br /> |author = AforAmpere<br /> |date = February 23, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post50386&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Golly suggestions<br /> |p = 50386<br /> |author = toroidalet<br /> |date = September 2, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post101003&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Pattern viewer for forum threads<br /> |p = 101003<br /> |author = lemon41625<br /> |date = July 23, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post87744&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: 3-state range-1 outer-totalistic rulespace<br /> |p = 87744<br /> |author = Connor Steppie<br /> |date = January 19, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post70180&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Range-2 von Neumann isotropic non-totalistic rulespace<br /> |p = 70180<br /> |author = Connor Steppie<br /> |date = February 9, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post102838&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Range-2 von Neumann isotropic non-totalistic rulespace<br /> |p = 102838<br /> |author = bubblegum<br /> |date = August 26, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post113480&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: CAViewer - A Cellular Automaton Simulator written in Java<br /> |p = 113480<br /> |author = lemon41625<br /> |date = November 29, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post50771&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: apgsearch v4.2<br /> |p = 50771<br /> |author = Adam P. Goucher<br /> |date = September 10, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post99110&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Range-2 von Neumann isotropic non-totalistic rulespace<br /> |p = 99110<br /> |author = lemon41625<br /> |date = June 19, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> * {{cite web|author=Alan Hensel|url=http://www.ibiblio.org/lifepatterns/neighbors2.html|title=Table of non-totalistic neighborhoods|accessdate=2016-06-12}}<br /> * {{cite web|author=Alan Hensel|url=http://www.ibiblio.org/lifepatterns/neighbors.html|title=Rule notation|accessdate=2016-06-12}} (note that the table on this page describes an earlier version of Hensel notation that has fallen into disuse)<br /> {{LinkForumThread|f=11|t=936|title=Non-totalistic Rules - notations, projects, &amp; discussion}}<br /> <br /> [[Category:Cellular automata| Isotropic non-totalistic Life-like cellular automaton]]</div>

Praosylen https://conwaylife.com/w/index.php?title=Weekender&diff=86180 2021-12-20T19:33:51Z

<p>Praosylen: </p> <hr /> <div>{{Spaceship<br /> |name = Weekender<br /> |pname = weekender<br /> |c = 36<br /> |bx = 18<br /> |by = 12<br /> |dir = Orthogonal<br /> |p = 7<br /> |m = 7<br /> |s = 2c/7<br /> |z = 2c/7<br /> |h = 45.1<br /> |discoverer = David Eppstein<br /> |discoveryear = 2000<br /> |rulemin = B3/S23<br /> |rulemax = B37/S23<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3-ky/S23-c<br /> |isorulemax = B2n34cqz5ckny6-ik7/S234cekwyz5-aijq6ein7e<br /> |synthesis = 33<br /> |synthesisRLE = true<br /> |plaintext = true<br /> |rle = true<br /> |animated = true<br /> |viewerconfig = #C [[ GPS 7 TRACKLOOP 7 0 -2/7 THUMBSIZE 2 ]]<br /> |apgcode = xq7_7dfxg88gxfd7zw123u2222u321<br /> |pentadecathlonid = 36P7H2V0.1<br /> |eppsteinid = 14105<br /> }}<br /> '''Weekender''' is a [[2c/7 orthogonal]] [[spaceship]] that was found by [[David Eppstein]] on January 12, {{year|2000}}.&lt;ref&gt;{{CiteSummersPattern|name=jslife}}&lt;/ref&gt; Before the discovery of [[scholar]] in {{year|2019}}, n weekenders pulling n-1 tagalongs constituted the only known spaceships with [[speed]] 2c/7, besides self-sustaining loops of [[2c/7 orthogonal#Rakes|weekender conduits]]. These were the only known {{periodS|7}} spaceships until the discovery of [[lobster (spaceship)|lobster]] in {{year|2011}}, [[loafer]] in {{year|2013}} and [[spaghetti monster]] in {{year|2016}}.<br /> <br /> Despite the relative simplicity of its components, a [[glider synthesis]] for the weekender had been elusive since its discovery. A weekender synthesis was completed on January 25, {{year|2015}}, 15 years after its discovery (and coincidentally, on a weekend).&lt;ref name=&quot;post16223&quot; /&gt; On September 26, 2015, [[Chris Cain]] announced a p444 weekender gun based on a 79-glider synthesis, as well as a p451/p457+ glider-to-weekender converter.&lt;ref name=&quot;post23009&quot; /&gt; On September 6, 2021, [[iNoMed]] produced a [https://discord.com/channels/357922255553953794/370571014654001154/884500442321666131 33-glider recipe] based on 35- and 34-glider recipes from a week earlier.<br /> <br /> ==Tagalongs==<br /> On April 27, 2000, [[Stephen Silver]] found a [[tagalong]] for a pair of weekenders, as shown below.<br /> <br /> {{EmbedViewer<br /> |pname = 2weekenderswithtagalong<br /> |position = center<br /> |viewerconfig = #C [[ THUMBSIZE 2 ]]<br /> |caption = Two weekenders followed by a tagalong&lt;br /&gt;<br /> }}<br /> <br /> On December 6, {{year|2020}}, [[John Winston Garth]] found [[doo-dah]], a small period-21 tagalong for a single weekender, which in its simplest phase consists entirely of two [[R-pentomino]] descendants.&lt;ref name=&quot;post114481&quot; /&gt;&lt;ref name=&quot;post114488&quot; /&gt; The spaceship was found using a combination of [[ikpx2]] and [[apgsearch]], with partial results from the former being inputted into the latter via ikpx2's &quot;standard input&quot; feature, with the goal of searching higher-period spaceships and [[puffer]]s. Garth chose the name &quot;doo-dah&quot; for the tagalong.&lt;ref name=&quot;message785223433708503091&quot; /&gt;<br /> <br /> Soon after, [[Matthias Merzenich]] discovered that a component from the side of [[186P7H2V0]] can attach to a weekender.&lt;ref name=&quot;post114802&quot; /&gt; On March 19, {{year|2021}}, Merzenich discovered a width-22 symmetric tagalong for a single weekender&lt;ref name=&quot;post126154&quot; /&gt; and proved that this is the only such period-7 symmetric tagalong at that width.&lt;ref name=&quot;post126432&quot; /&gt;<br /> <br /> ==See also==<br /> * [[Weekender distaff]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post16223&quot;&gt;{{LinkForumThread<br /> |p = 16223<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |author = Martin Grant<br /> |date = January 25, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post23009&quot;&gt;{{LinkForumThread<br /> |p = 23009<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |author = Chris Cain<br /> |date = September 26, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post114481&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 114481<br /> |author = J. H. Yu<br /> |date = December 6, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post114488&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 114488<br /> |author = praosylen<br /> |date = December 6, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message785223433708503091&quot;&gt;{{CiteDiscord<br /> |author = John Winston Garth<br /> |date = December 6, 2020<br /> |channel = cgol<br /> |id = 785223433708503091<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post114802&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 114802<br /> |author = Matthias Merzenich<br /> |date = December 8, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post126154&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 126154<br /> |author = Matthias Merzenich<br /> |date = March 19, 2021<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;/references&gt;<br /> <br /> ==External links==<br /> *[http://arxiv.org/abs/cs/0004003 Searching for Spaceships] - Eppstein's paper describing the discovery of the weekender<br /> {{LinkLexicon|lex_w.htm#weekender}}<br /> {{LinkEppstein|14105|patternname=The Weekender (glider 14105)}}<br /> {{LinkCatagolue|xq7_7dfxg88gxfd7zw123u2222u321}}<br /> {{LinkPentadecathlonObject|36P7H2V0.1}}<br /> <br /> [[Category:Non-monotonic spaceships]]<br /> {{Symmetry|orthogonal2}}<br /> __NOTOC__</div>

Praosylen https://conwaylife.com/w/index.php?title=34P14_shuttle&diff=86179 2021-12-20T19:33:09Z

<p>Praosylen: </p> <hr /> <div>{{Oscillator<br /> |name = 34P14 shuttle<br /> |pname = 34p14shuttle<br /> |f1 = Shuttle<br /> |c = 34<br /> |bx = 15<br /> |by = 11<br /> |p = 14<br /> |m = 7<br /> |h = 22.9<br /> |v = 0.94<br /> |sv = 0.86<br /> |synthesis = 15<br /> |synthesisRLE = true<br /> |discoverer = carybe<br /> |discoveryear = 2018<br /> |rulemin = B3/S23<br /> |rulemax = B378/S23678<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3-ce/S23-cky<br /> |isorulemax = B2n34entz5ace6ce78/S234cetz5-iq678<br /> |plaintext = true<br /> |rle = true<br /> |viewerconfig = #C [[ GPS 7 THUMBSIZE 2 HEIGHT 400 ]]<br /> |apgcode = xp14_033y133zo4maxam4oz1ppy1pp1<br /> }}<br /> The '''34P14 shuttle''' is the second smallest known {{period|14}} [[oscillator]]. It was found by [[carybe]] on September 24, {{year|2018}} using [[apgsearch]],&lt;ref&gt;{{citeCatagolue|page=attribute/xp14_033y133zo4maxam4oz1ppy1pp1/b3s23/D2_+1 |title=xp14_033y133zo4maxam4oz1ppy1pp1 &lt;tt&gt;attribute&lt;/tt&gt; page |accessdate=September 28, 2020}}&lt;/ref&gt; but was not noticed by a human until October 11 of that year.&lt;ref name=&quot;post64645&quot; /&gt; It consists 4 blocks hassling a {[[bi-block]] + 2 [[loaf|loaves]]} predecessor. A {{gliders|20}} [[synthesis]] of this oscillator was posted by [[Mark Niemiec]] on October 12.&lt;ref name=&quot;post64654&quot; /&gt;<br /> <br /> ==Uses==<br /> <br /> It produces [[duoplet]] sparks, and is capable of reflecting a p28 glider stream.&lt;ref name=&quot;post64648&quot; /&gt; It can potentially replace the [[p7 bouncer]] for any glider stream of a multiple of 14, as shown in the period 28 glider shuttle below:<br /> <br /> {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 14 LOOP 28 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]<br /> |pname = p28glidershuttle<br /> |position = center<br /> }}<br /> <br /> It can also reduce the '''tetradecathlon''', a discovery by [[Jason Summers]] on January 26, {{year|2004}}, where a [[pentadecathlon]]'s phase is changed -- originally by sparks from large [[p7 pipsquirter]]s. A {{gliders|57}} [[synthesis]] for this version of the tetradecathlon was put together by [[Ian07]]&lt;ref name=&quot;post86605&quot; /&gt; with the help of [[Mark Niemiec]]&lt;ref name=&quot;post86592&quot; /&gt; and [[Dave Greene]]&lt;ref name=&quot;post86600&quot; /&gt; on December 27, {{year|2019}}.<br /> <br /> {{EmbedViewer<br /> |viewerconfig = #C [[ GPS 7 LOOP 14 THUMBSIZE 2 ]]<br /> |pname = tetradecathlon<br /> |position = center<br /> |caption = Tetradecathlon<br /> }}<br /> <br /> The small size, rare period and spark output of the oscillator allow it to be used in the construction of the smallest known oscillators of several periods, namely 28: [[Mold on 34P14 shuttle]], 42: [[Unix on 34P14 shuttle]] and 70: [[Fumarole on 34P14 shuttle]].<br /> <br /> ==See also==<br /> * [[Tumbler]]<br /> * [[Rich's p16]]<br /> * [[68P9]]<br /> * [[55P10]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post64645&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 64645<br /> |author = praosylen<br /> |date = October 11, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post64654&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 64654<br /> |author = Mark Niemiec<br /> |date = October 12, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post64648&quot;&gt;{{LinkForumThread<br /> |p = 64648<br /> |title = Re: Soup search results<br /> |author = Matthias Merzenich<br /> |format = ref<br /> |date = October 12, 2018<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post86605&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Synthesising Oscillators<br /> |p = 86605<br /> |author = Ian07<br /> |date = December 27, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post86592&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Synthesising Oscillators<br /> |p = 86592<br /> |author = Mark Niemiec<br /> |date = December 27, 2019<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post86600&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Synthesising Oscillators<br /> |p = 86600<br /> |author = Dave Greene<br /> |date = December 27, 2019<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkCatagolue|xp14_033y133zo4maxam4oz1ppy1pp1}}<br /> {{LinkCatagolue|xp14_64wo0k297x66zo8w60ag4oxoozy411zy4uquzy4fbfzy4ggz32wc0a143x33zc4w3058isxcc|patternname=Tetradecathlon}}<br /> <br /> {{Symmetry|orthogonal2|osc=flip}}<br /> {{Sparker|p=14|type=reflecting duoplet|strength=strong}}<br /> [[Category:Patterns discovered by pseudonymous users]]<br /> {{seminatural}}<br /> __NOTOC__</div>

Praosylen https://conwaylife.com/w/index.php?title=Achim%27s_p4&diff=86178 2021-12-20T19:32:23Z

<p>Praosylen: seriously, the last time I had checked there were like 17 or so pages on here that mentioned me, how is it up to 60-something all of a sudden?</p> <hr /> <div>{{Oscillator<br /> |name = Achim's p4<br /> |pname = achimsp4<br /> |c = 40<br /> |f1 = Billiard table<br /> |bx = 11<br /> |by = 9<br /> |fc = 29.0<br /> |p = 4<br /> |m = 4<br /> |h = 4<br /> |v = 0.17<br /> |sv = 0.17<br /> |discoverer = Achim Flammenkamp<br /> |discoveryear = 1988<br /> |rulemin = B3/S23<br /> |rulemax = B378/S1235678<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3ery/S2-in3-acjq<br /> |isorulemax = B2kn34ejnrwz5-kqy6-ai78/S1234-it5678<br /> |synthesis = 6<br /> |synthesisRLE = true<br /> |plaintext = true<br /> |rle = true<br /> |apgcode = xp4_8eh5e0e5he8z178a707a871<br /> |pentadecathlonid = 40P4.9<br /> |animated = yes<br /> |viewerconfig = #C [[ GPS 2 THUMBSIZE 2 ]]<br /> }}<br /> :''For other uses of &quot;cloverleaf&quot;, see [[Cloverleaf (disambiguation)]].''<br /> <br /> '''Achim's p4''' (or '''cloverleaf''') is a {{period|4}} [[oscillator]] that was found in a less compact form (using two [[sombreros]]) by [[David Buckingham]] in {{year|1976}}. The form shown here was found by [[Achim Flammenkamp]] in {{year|1988}}.&lt;ref&gt;{{CiteHickersonOscillators|accessdate=March 14, 2020}}&lt;/ref&gt; The [[rotor]] is two copies of the rotor of [[1-2-3-4]], so the [[oscillator]] is sometimes called the '''dual 1-2-3-4'''.<br /> <br /> ==[[List of common oscillators|Commonness]]==<br /> Achim's p4 is about the twenty-third most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]].&lt;ref&gt;{{citeAchim|accessdate=January 15, 2009}}&lt;/ref&gt; On [[Catagolue]], it is the third most common period 4 oscillator, being less common than [[mazing]].&lt;ref name=&quot;B3/S23/C1&quot;&gt;{{citeCatagolue|page=census/b3s23/C1|title=Census|accessdate=October 27, 2018}}&lt;/ref&gt; [[Stator]] variants with one&lt;ref name=&quot;post14186&quot; /&gt; and three&lt;ref name=&quot;post22085&quot; /&gt; bits added respectively are the fourth and eighth most common period-4 oscillators,&lt;ref name=&quot;B3/S23/C1&quot; /&gt; and an [[inflected]] version has also occurred naturally.&lt;ref name=&quot;post30445&quot; /&gt;<br /> <br /> ==Synthesis==<br /> An {{gliders|8}} [[synthesis]] of this oscillator was found by [[Jason Summers]] in September {{year|2004}}.&lt;ref&gt;{{CiteSummersPattern|name=jslife|accessdate=January 5, 2020}}&lt;/ref&gt; In October {{year|2010}}, Lewis Patterson found a [[predecessor]] of this oscillator that allows a {{gliders|7}} synthesis.&lt;ref name=&quot;post3685&quot; /&gt;&lt;ref name=&quot;post3694&quot; /&gt; This was improved to {{gliders|6|brief}} gliders by [[Chris Cain]] in March 2015.&lt;ref name=&quot;post17337&quot; /&gt;<br /> <br /> ==Gallery==<br /> {|<br /> |-<br /> |{{EmbedViewer<br /> |pname = achimsp4original<br /> |position = center<br /> |viewerconfig = #C [[ GPS 2 THUMBSIZE 2 AUTOSTART ]]<br /> |caption = The original, less compact form of Achim's p4&lt;br/&gt;<br /> }}<br /> |}<br /> <br /> ==See also==<br /> *[[Achim's p8]]<br /> *[[Achim's p11]]<br /> *[[Achim's p16]]<br /> *[[Achim's other p16]]<br /> *[[Achim's p144]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post3685&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 3685<br /> |author = Lewis Patterson<br /> |date = October 17, 2010<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post14186&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 14186<br /> |author = Tanner Jacobi<br /> |date = November 8, 2014<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post22085&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 22085<br /> |author = gameoflifeboy<br /> |date = August 21, 2015<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post30445&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 30445<br /> |author = praosylen<br /> |date = April 27, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post3694&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread For Your Accidental Discoveries<br /> |p = 3694<br /> |author = Matthias Merzenich<br /> |date = October 17, 2010<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post17337&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Thread for your unsure discoveries<br /> |p = 17337<br /> |author = Chris Cain<br /> |date = March 1, 2015<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|filename=lex_a.htm#achimsp4}}<br /> {{LinkCatagolue|xp4_8eh5e0e5he8z178a707a871}}<br /> {{LinkPentadecathlonObject|40P4.9}}<br /> <br /> {{Symmetry|orthogonal4}}<br /> __NOTOC__</div>

Praosylen https://conwaylife.com/w/index.php?title=C/12_diagonal&diff=86177 2021-12-20T19:30:53Z

<p>Praosylen: </p> <hr /> <div>{{Speed<br /> |image = blocklayingswitchengine<br /> |speed = c/12 diagonal<br /> |ss = yes<br /> |puff = yes<br /> |rake = yes<br /> |wick = yes<br /> |gun = yes<br /> }}<br /> '''c/12 diagonal''' is a diagonal [[speed]] that is equivalent to one twelfth of the speed of light. All c/12 diagonal technology known in Life actually travels at some multiple of 8c/96 diagonal - no pure c/12 diagonal technology is known.<br /> <br /> ==Spaceships==<br /> [[Image:2enginecordership.png|framed|right|The [[2-engine Cordership]]]]<br /> [[Dean Hickerson]] found the first c/12 diagonal spaceship in April {{year|1991}}. It was named the [[Cordership]] to honour [[Charles Corderman]], who discovered the [[switch engine]], the basis for all Corderships. It was noted by Corderman that the switch engine travels diagonally at c/12 with a period of {{periodS|96|brief}}, before it is destroyed by its own debris. To create the first Cordership, the [[13-engine Cordership]], Hickerson put thirteen switch engines together so that they canceled out their own debris. Hickerson soon created a smaller Cordership, the [[10-engine Cordership]], and later found Corderships that used [[7-engine Cordership|7]] and [[6-engine Cordership|6]] switch engines. A [[4-engine Cordership]] was found by [[David Bell]] on July 9, {{year|2005}}, after a slightly larger [[3-engine Cordership]] was found by [[Paul Tooke]] on January 12, {{year|2004}}. Currently, the smallest known Cordership is the [[2-engine Cordership]], found by [[praosylen]] on December 31, {{year|2017}}.<br /> <br /> The structure of Corderships makes them easily manipulated, and they can participate in a large number of reactions, such as turning or duplicating [[glider]]s. The Cordership's versatility has made it ideal for many patterns with special properties, such as [[Sawtooth 260]] and the [[infinite glider hotel]]. Corderships of higher periods can also be created using a variety of techniques; however, Corderships must have a period that is a multiple of 96, due to the switch engines movement.<br /> <br /> ==Puffers==<br /> The first c/12 diagonally traveling patterns to be found were [[puffer]]s found by Charles Corderman in {{year|1971}}, the [[block-laying switch engine]] and [[glider-producing switch engine]], which have periods of 288 and 384 respectively. Corderman found that these patterns could arise from a switch engine's interaction with a block, resulting in some small [[infinite growth]] patterns with only {{cells|11}} [[cell]]s. There are now known infinite growth patterns with only {{cells|10}} cells, but they all end up producing a switch engine. These puffers can be easily constructed, and so they often are the basis of small [[infinite growth#quadratic growth|quadratic growth]] patterns, such as in [[Nick Gotts]]' [[26-cell quadratic growth|26-cell quadratic growth pattern]]. Several other c/12 diagonal puffers have been created using multiple switch engines which stabilize each other.<br /> <br /> ===Rakes===<br /> Due to the versatility of Corderships, [[rake]]s are relatively easy to create, and various methods have been designed to increase rake periods.<br /> <br /> ==Wickstretchers==<br /> The only known c/12 diagonal [[wickstretcher]]s are [[linestretcher]]s which stretch a [[canoe]] using a [[glider synthesis]]. This led to the creation of an adjustable period spaceship in which the line of a linestretcher is broken by a following spaceship, causing a [[fuse]] to burn up the line until it reaches the building component of the spaceship, at which point the fuse will stop burning and allow the following ship to repeat the process.&lt;ref&gt;{{CiteSummersPattern|name=jslife|accessdate=October 28, 2020}}&lt;/ref&gt;<br /> <br /> ==Guns==<br /> Due to the fact that switch engines are easy to synthesize, many glider syntheses have been made for Corderships, resulting in the creation of several guns which shoot c/12 diagonal spaceships; notable examples of this are the [[v-gun]], the [[6-engine Cordership gun]], and the [[3-engine Cordership gun]].<br /> <br /> ==See also==<br /> *[[:Category:speeds|List of important speeds]]<br /> *[[:Category:Spaceships with speed c/12|List of spaceships with speed c/12]]<br /> *[[:Category:Puffers with speed c/12|List of puffers with speed c/12]]<br /> *[[:Category:Crawlers with speed c/12|List of crawlers with speed c/12]]<br /> *[[:Category:Waves with speed c/12|List of waves with speed c/12]]<br /> <br /> ==References==<br /> &lt;references /&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_c.htm#c12spaceship|name=c/12 spaceship}}<br /> <br /> {{DISPLAYTITLE:c/12 diagonal}}</div>

Praosylen https://conwaylife.com/w/index.php?title=Rob%27s_p16&diff=86176 2021-12-20T19:30:10Z

<p>Praosylen: </p> <hr /> <div>{{Oscillator<br /> |name = Rob's p16<br /> |pname = robsp16<br /> |c = 21<br /> |bx = 10<br /> |by = 12<br /> |p = 16<br /> |m = 8<br /> |h = 21<br /> |v = 1.00<br /> |sv = 1.00<br /> |discoverer = Rob Liston<br /> |discoveryear = 2020<br /> |rulemin = B3/S23<br /> |rulemax = B378/S2378<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3-ky/S23-c<br /> |isorulemax = B34cq5ceky6n78/S234ceky5jy6cik78<br /> |synthesis = 10<br /> |plaintext = true<br /> |rle = true<br /> |apgcode = xp16_0c2w3vz33032988<br /> |animated = true<br /> |viewerconfig = #C [[ GPS 4 LOOP 16 ]]<br /> }}{{Distinguish|Rich's p16}}<br /> '''Rob's p16''' is a {{period|16}} [[oscillator]] that was found by [[Rob Liston]] on February 9, {{year|2020}} using [[Adam P. Goucher]]'s [[apgsearch]],&lt;ref&gt;{{CiteCatagolue|page=haul/b3s23/G1/477c29ce65dab871f2889810e344bece|title=Haul|accessdate=February 10, 2020}}&lt;/ref&gt; and first noticed by a human the next day.&lt;ref name=&quot;post89261&quot; /&gt; It is the smallest known period-16 oscillator in terms of both [[population]] and [[bounding box]], the first p16 to appear [[natural]]ly, the first known [[strictly volatile]] p16, and the first new [[rotor]] discovered by asymmetric soup search since the 1980s. It also gives off weak [[spark]]s,&lt;ref name=&quot;post89263&quot; /&gt; which can be used to [[filter]] an [[LWSS]] stream resulting in a reduction to the period-16 pseudo-[[glider gun]].&lt;ref name=&quot;post89318&quot; /&gt; On November 12, [[James Pascua]] constructed a p32 [[lumps of muck]] hassler using this oscillator.&lt;ref name=&quot;post110402&quot; /&gt;<br /> <br /> A {{gliders|17}} [[synthesis]] of this oscillator was found by [[Tanner Jacobi]] the day of its discovery.&lt;ref name=&quot;post89284&quot; /&gt; Liston found a second Rob's p16 soup on June 30,&lt;ref name=&quot;post99810&quot; /&gt; leading to a {{gliders|15|brief}}-glider synthesis by [[Goldtiger997]] the next day.&lt;ref name=&quot;post99857&quot; /&gt; Yet another soup found by Liston in February {{year|2021}} reduced the cost {{gliders|13|brief}} and then {{gliders|11|brief}} gliders.&lt;ref name=&quot;message810652124190343201&quot; /&gt;&lt;ref name=&quot;message810696623352840193&quot; /&gt; A fifth soup by [[Adam P. Goucher]] (incidentally the first soup not found by Liston) led to a {{gliders|10}} synthesis,&lt;ref name=&quot;post126956&quot; /&gt; which [[Dave Greene]] made a slow-salvo seed out of.&lt;ref name=&quot;post126954&quot; /&gt;<br /> <br /> ==See also==<br /> *[[Fumarole on Rob's p16]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post89261&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 89261<br /> |author = Tanner Jacobi<br /> |date = February 10, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post89263&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 89263<br /> |author = Matthias Merzenich<br /> |date = February 10, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post110402&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 110402<br /> |author = James Pascua<br /> |date = November 12, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post89284&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 89284<br /> |author = Tanner Jacobi<br /> |date = February 10, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post89318&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Execution of Old Guns by Variable-Speed Firing Squad<br /> |p = 89318<br /> |author = Tanner Jacobi<br /> |date = February 11, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post99810&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 99810<br /> |author = praosylen<br /> |date = June 30, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post99857&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 99857<br /> |author = Goldtiger997<br /> |date = July 1, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message810652124190343201&quot;&gt;{{CiteDiscord<br /> |author = goldenratio<br /> |date = February 14, 2021<br /> |channel = cgol<br /> |id = 810652124190343201<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message810696623352840193&quot;&gt;{{CiteDiscord<br /> |author = Goldtiger997<br /> |date = February 14, 2021<br /> |channel = cgol<br /> |id = 810696623352840193<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post126956&quot;&gt;{{LinkForumThread <br /> |format = ref <br /> |title = Re: Soup search results<br /> |p = 126956<br /> |author = Tanner Jacobi<br /> |date = March 25, 2021}}&lt;/ref&gt;<br /> &lt;ref name=&quot;post126954&quot;&gt;{{LinkForumThread <br /> |format = ref <br /> |title = Re: Soup search results<br /> |p = 126954<br /> |author = Dave Greene<br /> |date = March 25, 2021}}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkCatagolue|xp16_0c2w3vz33032988}}<br /> <br /> {{Symmetry|osc=flip}}<br /> {{Sparker|p=16|strength=weak}}<br /> {{natural}}</div>

Praosylen