https://conwaylife.com/w/api.php?action=feedcontributions&feedformat=atom&user=Bullet51 2026-11-12T12:15:34Z User contributions MediaWiki 1.45.3 https://conwaylife.com/w/index.php?title=Unidimensional_spaceship_1&diff=169600 2026-02-09T06:27:33Z

<p>Bullet51: </p> <hr /> <div>{{Spaceship<br /> |name = Unidimensional spaceship 1<br /> |pname = unidimensionalspaceship1<br /> |c = 30555709<br /> |bx = 3707300605<br /> |by = 1<br /> |dir = Orthogonal<br /> |p = 133076755768<br /> |m = 133076755768<br /> |s = c/66538377884<br /> |z = 2c/133076755768<br /> |symmetry = -c<br /> |discoverer = Hippo.69<br /> |discoverer2 = Adam P. Goucher<br /> |discoveryear = 2025<br /> |rle = x = 0, y = 0, rule = B/S<br /> !<br /> }}<br /> '''Unidimensional spaceship 1''' is the first [[One-cell-thick_pattern|unidimensional]] spaceship to be discovered, constructed mainly by [[Adam P. Goucher]] and [[Hippo.69]] as well as several other contributors. Work started in 2016 and was completed on December 1, 2025 by [[Hippo.69]].&lt;ref name=&quot;post222136&quot;/&gt;<br /> <br /> Five weeks later, Hippo.69 constructed&lt;ref name=&quot;post223596&quot;/&gt; [[Unidimensional spaceship 2]], which is 4.66 times smaller by bounding box length, 4.68 times faster by period, and 4.86 times smaller by population.<br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post222136&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 222136<br /> |title = Re: How about a unidimensional spaceship?<br /> |author = Hippo.69<br /> |date = December 1, 2025<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post223596&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 223596<br /> |title = Re: How about faster unidimensional spaceship<br /> |author = Hippo.69<br /> |date = January 4, 2026<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> [[Category:Patterns discovered by pseudonymous users]]</div>

Bullet51 https://conwaylife.com/w/index.php?title=Hassle&diff=161640 2025-05-08T06:00:45Z

<p>Bullet51: </p> <hr /> <div>{{Glossary}}{{stub|1=See [https://conwaylife.com/forums/viewtopic.php?f=7&amp;t=6081 a forum thread] and previous discussion at [[Talk:Honey farm hasslers]], for the current related discussion}}<br /> To '''hassle''' an object is to repeatedly move or change it in a periodic way. For example, [[toad]]s can be hassled by [[domino spark]]s, causing them to flip orientation as in a [[toad flipper]]. An [[oscillator]] that works by hassling some object is known as a '''hassler'''.<br /> {{HasslerList}}<br /> Since {{year|2021}}-{{year|2022}}, most high-period newly discovered oscillators are hasslers. New hasslers are usually found through the one-spark&lt;ref&gt;{{LinkForumThread|p=130212|title=Re: Golly scripts|date=14 May 2021|format=ref}}&lt;/ref&gt; and two-spark&lt;ref&gt;{{LinkForumThread|p=133796|title=Re: Golly scripts|date=19 Jul 2021|format=ref}}&lt;/ref&gt; programs written by [[David Raucci]], the latest depth-first version&lt;ref&gt;{{cite web|url=https://github.com/mvr/CatForce/tree/depth-first-periodic|title=mvr/CatForce at depth-first-periodic|publisher=GitHub}}&lt;/ref&gt; of [[CatForce]] written by [[Mitchell Riley]], or [[LocalForce]] written by [[Nico Brown]].&lt;ref&gt;{{cite web|url=https://github.com/nicobrownmath/LocalForce/tree/spaceship|title=nicobrownmath/LocalForce at spaceship|publisher=GitHub}}&lt;/ref&gt;<br /> <br /> ==Examples==<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = toadflipper<br /> |viewerconfig = #C [[ AUTOSTART GPS 30 PAUSE 2 ZOOM 15 ]]<br /> |position = center<br /> |caption = A toad flipper that hassles a toad at period 60 by flipping it every 30 generations with two pentadecathlons<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = 74p34<br /> |viewerconfig = #C [[ AUTOSTART GPS 17 PAUSE 2 ]]<br /> |position = center<br /> |caption = [[74P34]], where eight [[eater 1]]s hassle two pi-heptominoes<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p16honeyfarmhassler1<br /> |viewerconfig = #C [[ AUTOSTART GPS 16 PAUSE 2 ]]<br /> |position = center<br /> |caption = A p16 oscillator where [[eater 1]]s, [[block]]s, and [[tub]]s hassle [[honey farm]]s in a symmetrical way<br /> |style = width:300px;<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ==See also==<br /> * {{CategoryLink|Oscillators with specific hassled object}}, hasslers grouped by type.<br /> <br /> ==References==<br /> &lt;references /&gt;<br /> <br /> ==External links==<br /> * {{LinkLexicon|lex_h.htm#hassler|patternname=Hassler}}<br /> * {{LinkForumThread|format = ref|title = What it is like to be a hassler?|p = 6081|author = confocaloid|date = Аugust 7, 2023}}<br /> <br /> <br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=Hassle&diff=161639 2025-05-08T06:00:27Z

<p>Bullet51: /* External links */</p> <hr /> <div>{{Glossary}}{{stub|1=See [https://conwaylife.com/forums/viewtopic.php?f=7&amp;t=6081 a forum thread] and previous discussion at [[Talk:Honey farm hasslers]], for the current related discussion}}<br /> To '''hassle''' an object is to repeatedly move or change it in a periodic way. For example, [[toad]]s can be hassled by [[domino spark]]s, causing them to flip orientation as in a [[toad flipper]]. An [[oscillator]] that works by hassling some object is known as a '''hassler'''.<br /> {{HasslerList}}<br /> Since {{year|2021}}-{{year|2022}}, most high-period newly discovered oscillators are hasslers. New hasslers are usually found through the one-spark&lt;ref&gt;{{LinkForumThread|p=130212|title=Re: Golly scripts|date=14 May 2021|format=ref}}&lt;/ref&gt; and two-spark&lt;ref&gt;{{LinkForumThread|p=133796|title=Re: Golly scripts|date=19 Jul 2021|format=ref}}&lt;/ref&gt; programs written by [[David Raucci]], the latest depth-first version&lt;ref&gt;{{cite web|url=https://github.com/mvr/CatForce/tree/depth-first-periodic|title=mvr/CatForce at depth-first-periodic|publisher=GitHub}}&lt;/ref&gt; of [[CatForce]] written by [[Mitchell Riley]], or [[LocalForce]] written by [[Nico Brown]].&lt;ref&gt;{{cite web|url=https://github.com/nicobrownmath/LocalForce/tree/spaceship|title=nicobrownmath/LocalForce at spaceship|publisher=GitHub}}&lt;/ref&gt;<br /> <br /> ==Examples==<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = toadflipper<br /> |viewerconfig = #C [[ AUTOSTART GPS 30 PAUSE 2 ZOOM 15 ]]<br /> |position = center<br /> |caption = A toad flipper that hassles a toad at period 60 by flipping it every 30 generations with two pentadecathlons<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = 74p34<br /> |viewerconfig = #C [[ AUTOSTART GPS 17 PAUSE 2 ]]<br /> |position = center<br /> |caption = [[74P34]], where eight [[eater 1]]s hassle two pi-heptominoes<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p16honeyfarmhassler1<br /> |viewerconfig = #C [[ AUTOSTART GPS 16 PAUSE 2 ]]<br /> |position = center<br /> |caption = A p16 oscillator where [[eater 1]]s, [[block]]s, and [[tub]]s hassle [[honey farm]]s in a symmetrical way<br /> |style = width:300px;<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ==See also==<br /> * {{CategoryLink|Oscillators with specific hassled object}}, hasslers grouped by type.<br /> <br /> ==References==<br /> &lt;references /&gt;<br /> <br /> ==External links==<br /> * {{LinkLexicon|lex_h.htm#hassler|patternname=Hassler}}<br /> * <br /> {{LinkForumThread<br /> |format = ref<br /> |title = What it is like to be a hassler?<br /> |p = 6081<br /> |author = confocaloid<br /> |date = Аugust 7, 2023<br /> }}&lt;/ref&gt;<br /> <br /> <br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=Period-10_traffic_light_hasslers&diff=161610 2025-05-05T18:54:21Z

<p>Bullet51: </p> <hr /> <div>{{OscListP/TL|p=10}}<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = introvert<br /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = [[p10 traffic light hassler]]<br /> |style = width:300px;<br /> |apgcode = xp10_y133x33z66w595x595w66zccwkikxkikwcczy1ooxoo<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 27, y = 22, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by [[David Raucci]]<br /> |style = width:300px;<br /> |apgcode = xp10_03pmwmp3y03pmwmp3zy011oy4o11z33x1m1y21m1x33z33x2d2y22d2x33zwck22kcy2ck22kcz0321w123y0321w123<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 22, y = 20, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by David Raucci<br /> |style = width:300px;<br /> |apgcode = xp10_ckg44gx33zok7jj4x757w33zy2oowsksx4pps53zy7oox144156<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 26, y = 19, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by David Raucci. Also hassles a [[pentadecathlon]] in some phases.<br /> |style = width:300px;<br /> |apgcode = xp10_ggy3jpuwupjz1ii1vuxgo1w1ogxgo8gkcz32011y0ghowohgx7f84kozy5c97w79c<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 67, y = 75, rule = B3/S23<br /> 33bo$32bobo$31bobobo$31bobobo$30b2obob2o$28bo2bobobo2bo$28b2o3bo3b2o$<br /> 31bobobo$26b5o2bo2b5o$25bo5bobobo5bo$24bobo3b2obob2o3bobo$24bob3o3bobo<br /> 3b3obo$23b2o4b2obobob2o4b2o$24bobo4bobobo4bobo$24bobo2bobobobobo2bobo$<br /> 25bo5bobobo5bo$26b2obobobobobob2o$28b2obobobob2o$30b2obob2o$25b2ob2obo<br /> bobob2ob2o$24bo3bo4bo4bo3bo$24bobo2bo2bobo2bo2bobo$22b2o2b2o4bobo4b2o<br /> 2b2o$23bobo4b2o3b2o4bobo$11b2o10bob3ob2o5b2ob3obo10b2o$11bo12bo17bo12b<br /> o$2o11bo12bobob7obobo12bo11b2o$obo9b2o2bo2bo5b2o4bo3bo4b2o5bo2bo2b2o9b<br /> obo$2bo3b2obo4b6o4bo3b11o3bo4b6o4bob2o3bo$2b2o7b3o11b3o3b5o3b3o11b3o7b<br /> 2o$4bobo7b8o5bob2ob3ob2obo5b8o7bobo$2b2obo3b3obo7bo6b3o5b3o6bo7bob3o3b<br /> ob2o$bobob4o2bo2b2o3bo9bo7bo9bo3b2o2bo2b4obobo$o7bo4b2obo2b2o25b2o2bob<br /> 2o4bo7bo$b7o5bobo4bo25bo4bobo5b7o$3bo2bo5b2ob2ob3o25b3ob2ob2o5bo2bo$8b<br /> o5b3o2b2o2bo5b3o3b3o5bo2b2o2b3o5bo$7b2o2bo4bo3bo3b2o3bobo3bobo3b2o3bo<br /> 3bo4bo2b2o$12b4o2bobo2b2o4b3o3b3o4b2o2bobo2b4o$16b2o2b2ob3o15b3ob2o2b<br /> 2o$12b4o2bobo2b3o15b3o2bobo2b4o$7b2o2bo4bo3bo3bo17bo3bo3bo4bo2b2o$8bo<br /> 5b3o2b2o2bo5bo7bo5bo2b2o2b3o5bo$3bo2bo5b2ob2ob3o7b3o5b3o7b3ob2ob2o5bo<br /> 2bo$b7o5bobo4bo6bob2ob3ob2obo6bo4bobo5b7o$o7bo4b2obo2b2o4b3o3b5o3b3o4b<br /> 2o2bob2o4bo7bo$bobob4o2bo2b2o3bo4bo3b11o3bo4bo3b2o2bo2b4obobo$2b2obo3b<br /> 3obo7bo3b2o4bo3bo4b2o3bo7bob3o3bob2o$4bobo7b8o4bobob7obobo4b8o7bobo$2b<br /> 2o7b3o10bo17bo10b3o7b2o$2bo3b2obo4b6o3bob3ob2o5b2ob3obo3b6o4bob2o3bo$o<br /> bo9b2o2bo2bo3bobo4b2o3b2o4bobo3bo2bo2b2o9bobo$2o11bo8b2o2b2o4bobo4b2o<br /> 2b2o8bo11b2o$11bo12bobo2bo2bobo2bo2bobo12bo$11b2o11bo3bo4bo4bo3bo11b2o<br /> $25b2ob2obobobob2ob2o$30b2obob2o$28b2obobobob2o$26b2obobobobobob2o$25b<br /> o5bobobo5bo$24bobo2bobobobobo2bobo$24bobo4bobobo4bobo$23b2o4b2obobob2o<br /> 4b2o$24bob3o3bobo3b3obo$24bobo3b2obob2o3bobo$25bo5bobobo5bo$26b5o2bo2b<br /> 5o$31bobobo$28b2o3bo3b2o$28bo2bobobo2bo$30b2obob2o$31bobobo$31bobobo$<br /> 32bobo$33bo!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 7.5 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by unknown person<br /> |style = width:300px;<br /> |apgcode = xp10_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<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 59, y = 32, rule = B3/S23<br /> 26b2o3b2o$25bo2bobo2bo$25bo2bobo2bo2$22b2o4bobo4b2o$22bo2bob2ob2obo2b<br /> o$18bo4bob2o5b2obo4bo$17bobo4bo9bo4bobo$17bob3o3b9o3b3obo$14bob2o4bo4b<br /> obobo4bo4b2obo$7b2o5b2o3b2obo13bob2o3b2o5b2o$6bobo8b2obob2o5bo5b2obob<br /> 2o8bobo$4b3o5b5obobo3bo4bo4bo3bobob5o5b3o$3bo3bo3bo8b2ob3o7b3ob2o8bo3b<br /> o3bo$3bob2o5bo2b2o3b2o3bo7bo3b2o3b2o2bo5b2obo$2obob2o6b2obo8bo3bo3bo8b<br /> ob2o6b2obob2o$o2bobo3bo2b3o2bo7bo2b3o2bo7bo2b3o2bo3bobo2bo$2b2o2bo7b2o<br /> b2ob2o3bo2b3o2bo3b2ob2ob2o7bo2b2o$3bobo2bob2o5b2ob2ob3o7b3ob2ob2o5b2o<br /> bo2bobo$3bob2ob2o8bobo3bo4bo4bo3bobo8b2ob2obo$2b2o2bobo6b2obobob2o5bo<br /> 5b2obobob2o6bobo2b2o$4bobobobo3bo2bob2obo13bob2obo2bo3bobobobo$4b2o3b<br /> 2o3b2obo4bo4bobobo4bo4bob2o3b2o3b2o$17bob3o3b9o3b3obo$17bobo4bo9bo4bo<br /> bo$18bo4bob2o5b2obo4bo$22bo2bob2ob2obo2bo$22b2o4bobo4b2o2$25bo2bobo2b<br /> o$25bo2bobo2bo$26b2o3b2o!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 9.5 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by [[ Caleb R. Hilton ]]<br /> |style = width:300px;<br /> |apgcode = xp10_yiggwjrxrjwggzyag0gs2c88h24b8p0g0p8b42h88c2sg0gzxok4mp3wok4ll4aqpf0bakx131xkab0fpqa4ll4kow3pm4koz314v0kl7om60440611r4r38bkx434xkb83r4r11604406mo7lk0v413zw116430346x651u1qb871g88c272c88g178bq1u156x643034611zye1x65034exe43056x1zym33x33<br /> }}}}<br /> {{gallery bottom}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 252, y = 29, rule = B3/S23<br /> 97b2o54b2o$97b2o54b2o2$54b2o39b4o2bo10b2o24b2o10bo2b4o39b2o$54bo6b2o3b<br /> o7b2o8b2o8bo3bo2b3o8bo26bo8b3o2bo3bo8b2o8b2o7bo3b2o6bo$8b2o27bo18bo4bo<br /> bobobo6bobo3b2obo2bo4b2o2b3o6bo8bo24bo8bo6b3o2b2o4bo2bob2o3bobo6bobobo<br /> bo4bo18bo27b2o$8bobo26b3o8bo6b2o6bobobo8bo4bobo2bo3bo2b2o3b4o2bo5b4o3b<br /> o16bo3b4o5bo2b4o3b2o2bo3bo2bobo4bo8bobobo6b2o6bo8b3o26bobo$10bo2bo26bo<br /> 2bo4b3o3bo8bobob2o2b2o3b2o3bob2ob2o2b3o2b3o4bob2o3bo6bobo14bobo6bo3b2o<br /> bo4b3o2b3o2b2ob2obo3b2o3b2o2b2obobo8bo3b3o4bo2bo26bo2bo$9b2obobo20b4ob<br /> o2b3o5bo2bob3o3b2obo4bo2bo4bo3bo3bo6bo5b2obobo3bobob5o2bo12bo2b5obobo<br /> 3bobob2o5bo6bo3bo3bo4bo2bo4bob2o3b3obo2bo5b3o2bob4o20bobob2o$5b2o2bo2b<br /> obo10bo8bo4bob2o3bo3bo2b2obo2bo5bob2obo2bo2b2obo3b2o2b6o3b3ob2o3bo5b2o<br /> 4bobo12bobo4b2o5bo3b2ob3o3b6o2b2o3bob2o2bo2bob2obo5bo2bob2o2bo3bo3b2ob<br /> o4bo8bo10bobo2bo2b2o$5b2o3b3ob2o3bob2obobo7bob2obo3b4o2bob2o4bobo2b3ob<br /> obobob2obobobo5b2o5b3o3bo2bo3bo3b2o3b2obob2o10b2obob2o3b2o3bo3bo2bo3b<br /> 3o5b2o5bobobob2obobobob3o2bobo4b2obo2b4o3bob2obo7bobob2obo3b2ob3o3b2o$<br /> 17b3ob2obo2bo5b2obobobobo4b3o2bob2obobobo4bobobo2bo2bo2bob4o2bo2bo3bob<br /> 2obob5o2bo2bobo5bo12bo5bobo2bo2b5obob2obo3bo2bo2b4obo2bo2bo2bobobo4bob<br /> obob2obo2b3o4bobobobob2o5bo2bob2ob3o$3b6o3b5o7b2obo5bo2bobobo2b2obo3b<br /> 3obo2bobobo4bo3b4o2bobo2bo4bobobob2o10bob2o6b3ob2obo8bob2ob3o6b2obo10b<br /> 2obobobo4bo2bobo2b4o3bo4bobobo2bob3o3bob2o2bobobo2bo5bob2o7b5o3b6o$3bo<br /> 4bo2bo5b3ob2o4b2o6b3o2bo2b2obob2o2bobo2bobobo4bo5b3o4bo4bo3bo4bobo3bo<br /> 6b2obo3bo4bo2bo8bo2bo4bo3bob2o6bo3bobo4bo3bo4bo4b3o5bo4bobobo2bobo2b2o<br /> bob2o2bo2b3o6b2o4b2ob3o5bo2bo4bo$5b2obobo2b4o2bobob4o2bo5bo4bob2o3bobo<br /> b3ob5o3bobo3bob2o4bo6bob2o4b2obo5bobobo3bo3b3o5bo4bo3bo5b3o3bo3bobobo<br /> 5bob2o4b2obo6bo4b2obo3bobo3b5ob3obobo3b2obo4bo5bo2b4obobo2b4o2bobob2o$<br /> 4b2o2bo2b2o4bo3bo4bobo2bo8bob2o3bo3bo5bob3o2bo3bo2b2o7bobo3bo2b2o2b3ob<br /> 2o2bobobo4b2o3bo2b3o3b3o4b3o2bo3b2o4bobobo2b2ob3o2b2o2bo3bobo7b2o2bo3b<br /> o2b3obo5bo3bo3b2obo8bo2bobo4bo3bo4b2o2bo2b2o$7bob2o2b2ob2obobob3o5b5o<br /> 3bo12bob2obob3o3b4o3bobobo3bo3bob3ob3obo3b2ob2o5b2ob2o2bo2bobo5bo4bobo<br /> 2bo2b2ob2o5b2ob2o3bob3ob3obo3bo3bobobo3b4o3b3obob2obo12bo3b5o5b3obobob<br /> 2ob2o2b2obo$4b2obo2bob2obob3obob3ob2o3b3o3b2o4b2o4b3o5bo13bobob2ob2o6b<br /> obo3b2o4bob2obobobobo4b3ob2o10b2ob3o4bobobobob2obo4b2o3bobo6b2ob2obobo<br /> 13bo5b3o4b2o4b2o3b3o3b2ob3obob3obob2obo2bob2o$2o2bo2bo17b2ob2o7bobobo<br /> 5b3o2bo3bo2b2o6b2o2b2o2bo2b5obo2bobo3bobo8bobo3b5o2bob2o10b2obo2b5o3bo<br /> bo8bobo3bobo2bob5o2bo2b2o2b2o6b2o2bo3bo2b3o5bobobo7b2ob2o17bo2bo2b2o$o<br /> bobo2bobo28bo4b3o11bobo3b2obo2bo2bobo3b2o3bo2b2obo3bobo7b2obobobo4b3o<br /> 16b3o4bobobob2o7bobo3bob2o2bo3b2o3bobo2bo2bob2o3bobo11b3o4bo28bobo2bob<br /> obo$3bo4b2o29b4o3b12obobo2bobo2b2o2bo3b2o11b3o2bob2o5bobobobob3o3b2o<br /> 12b2o3b3obobobobo5b2obo2b3o11b2o3bo2b2o2bobo2bobob12o3b4o29b2o4bo$37bo<br /> bo2bob2o13bob2o2bo29bobo4bobo2b2obobo2b2obo14bob2o2bobob2o2bobo4bobo<br /> 29bo2b2obo13b2obo2bobo$35b3obo2bo2bob4o2b2ob3o31b6obo2b3obo5b2o3bo2bo<br /> 14bo2bo3b2o5bob3o2bob6o31b3ob2o2b4obo2bo2bob3o$34bo5b3o2bobo2bo2b2obo<br /> 33bo6bobo5b4o7b2o16b2o7b4o5bobo6bo33bob2o2bo2bobo2b3o5bo$34b2o10bo44b<br /> 7ob2o7bob2o28b2obo7b2ob7o44bo10b2o$40b3o62b2obobo30bobob2o62b3o$39bo2b<br /> o50b3o10bobobo30bobobo10b3o50bo2bo$39b2o51bo2bo8bobob2o32b2obobo8bo2bo<br /> 51b2o$92b2o10b2o40b2o10b2o!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 1320 THUMBSIZE 2 ZOOM 5 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by wwei23 and Bullet51<br /> |style = width:300px;<br /> }}}}<br /> {{gallery bottom}}</div>

Bullet51 https://conwaylife.com/w/index.php?title=Period-10_traffic_light_hasslers&diff=161609 2025-05-05T18:53:31Z

<p>Bullet51: </p> <hr /> <div>{{OscListP/TL|p=10}}<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = introvert<br /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = [[p10 traffic light hassler]]<br /> |style = width:300px;<br /> |apgcode = xp10_y133x33z66w595x595w66zccwkikxkikwcczy1ooxoo<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 27, y = 22, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by [[David Raucci]]<br /> |style = width:300px;<br /> |apgcode = xp10_03pmwmp3y03pmwmp3zy011oy4o11z33x1m1y21m1x33z33x2d2y22d2x33zwck22kcy2ck22kcz0321w123y0321w123<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 22, y = 20, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by David Raucci<br /> |style = width:300px;<br /> |apgcode = xp10_ckg44gx33zok7jj4x757w33zy2oowsksx4pps53zy7oox144156<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 26, y = 19, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by David Raucci. Also hassles a [[pentadecathlon]] in some phases.<br /> |style = width:300px;<br /> |apgcode = xp10_ggy3jpuwupjz1ii1vuxgo1w1ogxgo8gkcz32011y0ghowohgx7f84kozy5c97w79c<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 67, y = 75, rule = B3/S23<br /> 33bo$32bobo$31bobobo$31bobobo$30b2obob2o$28bo2bobobo2bo$28b2o3bo3b2o$<br /> 31bobobo$26b5o2bo2b5o$25bo5bobobo5bo$24bobo3b2obob2o3bobo$24bob3o3bobo<br /> 3b3obo$23b2o4b2obobob2o4b2o$24bobo4bobobo4bobo$24bobo2bobobobobo2bobo$<br /> 25bo5bobobo5bo$26b2obobobobobob2o$28b2obobobob2o$30b2obob2o$25b2ob2obo<br /> bobob2ob2o$24bo3bo4bo4bo3bo$24bobo2bo2bobo2bo2bobo$22b2o2b2o4bobo4b2o<br /> 2b2o$23bobo4b2o3b2o4bobo$11b2o10bob3ob2o5b2ob3obo10b2o$11bo12bo17bo12b<br /> o$2o11bo12bobob7obobo12bo11b2o$obo9b2o2bo2bo5b2o4bo3bo4b2o5bo2bo2b2o9b<br /> obo$2bo3b2obo4b6o4bo3b11o3bo4b6o4bob2o3bo$2b2o7b3o11b3o3b5o3b3o11b3o7b<br /> 2o$4bobo7b8o5bob2ob3ob2obo5b8o7bobo$2b2obo3b3obo7bo6b3o5b3o6bo7bob3o3b<br /> ob2o$bobob4o2bo2b2o3bo9bo7bo9bo3b2o2bo2b4obobo$o7bo4b2obo2b2o25b2o2bob<br /> 2o4bo7bo$b7o5bobo4bo25bo4bobo5b7o$3bo2bo5b2ob2ob3o25b3ob2ob2o5bo2bo$8b<br /> o5b3o2b2o2bo5b3o3b3o5bo2b2o2b3o5bo$7b2o2bo4bo3bo3b2o3bobo3bobo3b2o3bo<br /> 3bo4bo2b2o$12b4o2bobo2b2o4b3o3b3o4b2o2bobo2b4o$16b2o2b2ob3o15b3ob2o2b<br /> 2o$12b4o2bobo2b3o15b3o2bobo2b4o$7b2o2bo4bo3bo3bo17bo3bo3bo4bo2b2o$8bo<br /> 5b3o2b2o2bo5bo7bo5bo2b2o2b3o5bo$3bo2bo5b2ob2ob3o7b3o5b3o7b3ob2ob2o5bo<br /> 2bo$b7o5bobo4bo6bob2ob3ob2obo6bo4bobo5b7o$o7bo4b2obo2b2o4b3o3b5o3b3o4b<br /> 2o2bob2o4bo7bo$bobob4o2bo2b2o3bo4bo3b11o3bo4bo3b2o2bo2b4obobo$2b2obo3b<br /> 3obo7bo3b2o4bo3bo4b2o3bo7bob3o3bob2o$4bobo7b8o4bobob7obobo4b8o7bobo$2b<br /> 2o7b3o10bo17bo10b3o7b2o$2bo3b2obo4b6o3bob3ob2o5b2ob3obo3b6o4bob2o3bo$o<br /> bo9b2o2bo2bo3bobo4b2o3b2o4bobo3bo2bo2b2o9bobo$2o11bo8b2o2b2o4bobo4b2o<br /> 2b2o8bo11b2o$11bo12bobo2bo2bobo2bo2bobo12bo$11b2o11bo3bo4bo4bo3bo11b2o<br /> $25b2ob2obobobob2ob2o$30b2obob2o$28b2obobobob2o$26b2obobobobobob2o$25b<br /> o5bobobo5bo$24bobo2bobobobobo2bobo$24bobo4bobobo4bobo$23b2o4b2obobob2o<br /> 4b2o$24bob3o3bobo3b3obo$24bobo3b2obob2o3bobo$25bo5bobobo5bo$26b5o2bo2b<br /> 5o$31bobobo$28b2o3bo3b2o$28bo2bobobo2bo$30b2obob2o$31bobobo$31bobobo$<br /> 32bobo$33bo!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 7.5 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by unknown person<br /> |style = width:300px;<br /> |apgcode = xp10_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<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 59, y = 32, rule = B3/S23<br /> 26b2o3b2o$25bo2bobo2bo$25bo2bobo2bo2$22b2o4bobo4b2o$22bo2bob2ob2obo2b<br /> o$18bo4bob2o5b2obo4bo$17bobo4bo9bo4bobo$17bob3o3b9o3b3obo$14bob2o4bo4b<br /> obobo4bo4b2obo$7b2o5b2o3b2obo13bob2o3b2o5b2o$6bobo8b2obob2o5bo5b2obob<br /> 2o8bobo$4b3o5b5obobo3bo4bo4bo3bobob5o5b3o$3bo3bo3bo8b2ob3o7b3ob2o8bo3b<br /> o3bo$3bob2o5bo2b2o3b2o3bo7bo3b2o3b2o2bo5b2obo$2obob2o6b2obo8bo3bo3bo8b<br /> ob2o6b2obob2o$o2bobo3bo2b3o2bo7bo2b3o2bo7bo2b3o2bo3bobo2bo$2b2o2bo7b2o<br /> b2ob2o3bo2b3o2bo3b2ob2ob2o7bo2b2o$3bobo2bob2o5b2ob2ob3o7b3ob2ob2o5b2o<br /> bo2bobo$3bob2ob2o8bobo3bo4bo4bo3bobo8b2ob2obo$2b2o2bobo6b2obobob2o5bo<br /> 5b2obobob2o6bobo2b2o$4bobobobo3bo2bob2obo13bob2obo2bo3bobobobo$4b2o3b<br /> 2o3b2obo4bo4bobobo4bo4bob2o3b2o3b2o$17bob3o3b9o3b3obo$17bobo4bo9bo4bo<br /> bo$18bo4bob2o5b2obo4bo$22bo2bob2ob2obo2bo$22b2o4bobo4b2o2$25bo2bobo2b<br /> o$25bo2bobo2bo$26b2o3b2o!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 9.5 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by [[ Caleb R. Hilton ]]<br /> |style = width:300px;<br /> |apgcode = xp10_yiggwjrxrjwggzyag0gs2c88h24b8p0g0p8b42h88c2sg0gzxok4mp3wok4ll4aqpf0bakx131xkab0fpqa4ll4kow3pm4koz314v0kl7om60440611r4r38bkx434xkb83r4r11604406mo7lk0v413zw116430346x651u1qb871g88c272c88g178bq1u156x643034611zye1x65034exe43056x1zym33x33<br /> }}}}<br /> {{gallery bottom}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 252, y = 29, rule = B3/S23<br /> 97b2o54b2o$97b2o54b2o2$54b2o39b4o2bo10b2o24b2o10bo2b4o39b2o$54bo6b2o3b<br /> o7b2o8b2o8bo3bo2b3o8bo26bo8b3o2bo3bo8b2o8b2o7bo3b2o6bo$8b2o27bo18bo4bo<br /> bobobo6bobo3b2obo2bo4b2o2b3o6bo8bo24bo8bo6b3o2b2o4bo2bob2o3bobo6bobobo<br /> bo4bo18bo27b2o$8bobo26b3o8bo6b2o6bobobo8bo4bobo2bo3bo2b2o3b4o2bo5b4o3b<br /> o16bo3b4o5bo2b4o3b2o2bo3bo2bobo4bo8bobobo6b2o6bo8b3o26bobo$10bo2bo26bo<br /> 2bo4b3o3bo8bobob2o2b2o3b2o3bob2ob2o2b3o2b3o4bob2o3bo6bobo14bobo6bo3b2o<br /> bo4b3o2b3o2b2ob2obo3b2o3b2o2b2obobo8bo3b3o4bo2bo26bo2bo$9b2obobo20b4ob<br /> o2b3o5bo2bob3o3b2obo4bo2bo4bo3bo3bo6bo5b2obobo3bobob5o2bo12bo2b5obobo<br /> 3bobob2o5bo6bo3bo3bo4bo2bo4bob2o3b3obo2bo5b3o2bob4o20bobob2o$5b2o2bo2b<br /> obo10bo8bo4bob2o3bo3bo2b2obo2bo5bob2obo2bo2b2obo3b2o2b6o3b3ob2o3bo5b2o<br /> 4bobo12bobo4b2o5bo3b2ob3o3b6o2b2o3bob2o2bo2bob2obo5bo2bob2o2bo3bo3b2ob<br /> o4bo8bo10bobo2bo2b2o$5b2o3b3ob2o3bob2obobo7bob2obo3b4o2bob2o4bobo2b3ob<br /> obobob2obobobo5b2o5b3o3bo2bo3bo3b2o3b2obob2o10b2obob2o3b2o3bo3bo2bo3b<br /> 3o5b2o5bobobob2obobobob3o2bobo4b2obo2b4o3bob2obo7bobob2obo3b2ob3o3b2o$<br /> 17b3ob2obo2bo5b2obobobobo4b3o2bob2obobobo4bobobo2bo2bo2bob4o2bo2bo3bob<br /> 2obob5o2bo2bobo5bo12bo5bobo2bo2b5obob2obo3bo2bo2b4obo2bo2bo2bobobo4bob<br /> obob2obo2b3o4bobobobob2o5bo2bob2ob3o$3b6o3b5o7b2obo5bo2bobobo2b2obo3b<br /> 3obo2bobobo4bo3b4o2bobo2bo4bobobob2o10bob2o6b3ob2obo8bob2ob3o6b2obo10b<br /> 2obobobo4bo2bobo2b4o3bo4bobobo2bob3o3bob2o2bobobo2bo5bob2o7b5o3b6o$3bo<br /> 4bo2bo5b3ob2o4b2o6b3o2bo2b2obob2o2bobo2bobobo4bo5b3o4bo4bo3bo4bobo3bo<br /> 6b2obo3bo4bo2bo8bo2bo4bo3bob2o6bo3bobo4bo3bo4bo4b3o5bo4bobobo2bobo2b2o<br /> bob2o2bo2b3o6b2o4b2ob3o5bo2bo4bo$5b2obobo2b4o2bobob4o2bo5bo4bob2o3bobo<br /> b3ob5o3bobo3bob2o4bo6bob2o4b2obo5bobobo3bo3b3o5bo4bo3bo5b3o3bo3bobobo<br /> 5bob2o4b2obo6bo4b2obo3bobo3b5ob3obobo3b2obo4bo5bo2b4obobo2b4o2bobob2o$<br /> 4b2o2bo2b2o4bo3bo4bobo2bo8bob2o3bo3bo5bob3o2bo3bo2b2o7bobo3bo2b2o2b3ob<br /> 2o2bobobo4b2o3bo2b3o3b3o4b3o2bo3b2o4bobobo2b2ob3o2b2o2bo3bobo7b2o2bo3b<br /> o2b3obo5bo3bo3b2obo8bo2bobo4bo3bo4b2o2bo2b2o$7bob2o2b2ob2obobob3o5b5o<br /> 3bo12bob2obob3o3b4o3bobobo3bo3bob3ob3obo3b2ob2o5b2ob2o2bo2bobo5bo4bobo<br /> 2bo2b2ob2o5b2ob2o3bob3ob3obo3bo3bobobo3b4o3b3obob2obo12bo3b5o5b3obobob<br /> 2ob2o2b2obo$4b2obo2bob2obob3obob3ob2o3b3o3b2o4b2o4b3o5bo13bobob2ob2o6b<br /> obo3b2o4bob2obobobobo4b3ob2o10b2ob3o4bobobobob2obo4b2o3bobo6b2ob2obobo<br /> 13bo5b3o4b2o4b2o3b3o3b2ob3obob3obob2obo2bob2o$2o2bo2bo17b2ob2o7bobobo<br /> 5b3o2bo3bo2b2o6b2o2b2o2bo2b5obo2bobo3bobo8bobo3b5o2bob2o10b2obo2b5o3bo<br /> bo8bobo3bobo2bob5o2bo2b2o2b2o6b2o2bo3bo2b3o5bobobo7b2ob2o17bo2bo2b2o$o<br /> bobo2bobo28bo4b3o11bobo3b2obo2bo2bobo3b2o3bo2b2obo3bobo7b2obobobo4b3o<br /> 16b3o4bobobob2o7bobo3bob2o2bo3b2o3bobo2bo2bob2o3bobo11b3o4bo28bobo2bob<br /> obo$3bo4b2o29b4o3b12obobo2bobo2b2o2bo3b2o11b3o2bob2o5bobobobob3o3b2o<br /> 12b2o3b3obobobobo5b2obo2b3o11b2o3bo2b2o2bobo2bobob12o3b4o29b2o4bo$37bo<br /> bo2bob2o13bob2o2bo29bobo4bobo2b2obobo2b2obo14bob2o2bobob2o2bobo4bobo<br /> 29bo2b2obo13b2obo2bobo$35b3obo2bo2bob4o2b2ob3o31b6obo2b3obo5b2o3bo2bo<br /> 14bo2bo3b2o5bob3o2bob6o31b3ob2o2b4obo2bo2bob3o$34bo5b3o2bobo2bo2b2obo<br /> 33bo6bobo5b4o7b2o16b2o7b4o5bobo6bo33bob2o2bo2bobo2b3o5bo$34b2o10bo44b<br /> 7ob2o7bob2o28b2obo7b2ob7o44bo10b2o$40b3o62b2obobo30bobob2o62b3o$39bo2b<br /> o50b3o10bobobo30bobobo10b3o50bo2bo$39b2o51bo2bo8bobob2o32b2obobo8bo2bo<br /> 51b2o$92b2o10b2o40b2o10b2o!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 2 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by wwei23 and Bullet51<br /> |style = width:300px;<br /> }}}}<br /> {{gallery bottom}}</div>

Bullet51 https://conwaylife.com/w/index.php?title=Period-10_traffic_light_hasslers&diff=161608 2025-05-05T18:53:12Z

<p>Bullet51: </p> <hr /> <div>{{OscListP/TL|p=10}}<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = introvert<br /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = [[p10 traffic light hassler]]<br /> |style = width:300px;<br /> |apgcode = xp10_y133x33z66w595x595w66zccwkikxkikwcczy1ooxoo<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 27, y = 22, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by [[David Raucci]]<br /> |style = width:300px;<br /> |apgcode = xp10_03pmwmp3y03pmwmp3zy011oy4o11z33x1m1y21m1x33z33x2d2y22d2x33zwck22kcy2ck22kcz0321w123y0321w123<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 22, y = 20, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by David Raucci<br /> |style = width:300px;<br /> |apgcode = xp10_ckg44gx33zok7jj4x757w33zy2oowsksx4pps53zy7oox144156<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 26, y = 19, rule = B3/S23<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 /> |viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by David Raucci. Also hassles a [[pentadecathlon]] in some phases.<br /> |style = width:300px;<br /> |apgcode = xp10_ggy3jpuwupjz1ii1vuxgo1w1ogxgo8gkcz32011y0ghowohgx7f84kozy5c97w79c<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 67, y = 75, rule = B3/S23<br /> 33bo$32bobo$31bobobo$31bobobo$30b2obob2o$28bo2bobobo2bo$28b2o3bo3b2o$<br /> 31bobobo$26b5o2bo2b5o$25bo5bobobo5bo$24bobo3b2obob2o3bobo$24bob3o3bobo<br /> 3b3obo$23b2o4b2obobob2o4b2o$24bobo4bobobo4bobo$24bobo2bobobobobo2bobo$<br /> 25bo5bobobo5bo$26b2obobobobobob2o$28b2obobobob2o$30b2obob2o$25b2ob2obo<br /> bobob2ob2o$24bo3bo4bo4bo3bo$24bobo2bo2bobo2bo2bobo$22b2o2b2o4bobo4b2o<br /> 2b2o$23bobo4b2o3b2o4bobo$11b2o10bob3ob2o5b2ob3obo10b2o$11bo12bo17bo12b<br /> o$2o11bo12bobob7obobo12bo11b2o$obo9b2o2bo2bo5b2o4bo3bo4b2o5bo2bo2b2o9b<br /> obo$2bo3b2obo4b6o4bo3b11o3bo4b6o4bob2o3bo$2b2o7b3o11b3o3b5o3b3o11b3o7b<br /> 2o$4bobo7b8o5bob2ob3ob2obo5b8o7bobo$2b2obo3b3obo7bo6b3o5b3o6bo7bob3o3b<br /> ob2o$bobob4o2bo2b2o3bo9bo7bo9bo3b2o2bo2b4obobo$o7bo4b2obo2b2o25b2o2bob<br /> 2o4bo7bo$b7o5bobo4bo25bo4bobo5b7o$3bo2bo5b2ob2ob3o25b3ob2ob2o5bo2bo$8b<br /> o5b3o2b2o2bo5b3o3b3o5bo2b2o2b3o5bo$7b2o2bo4bo3bo3b2o3bobo3bobo3b2o3bo<br /> 3bo4bo2b2o$12b4o2bobo2b2o4b3o3b3o4b2o2bobo2b4o$16b2o2b2ob3o15b3ob2o2b<br /> 2o$12b4o2bobo2b3o15b3o2bobo2b4o$7b2o2bo4bo3bo3bo17bo3bo3bo4bo2b2o$8bo<br /> 5b3o2b2o2bo5bo7bo5bo2b2o2b3o5bo$3bo2bo5b2ob2ob3o7b3o5b3o7b3ob2ob2o5bo<br /> 2bo$b7o5bobo4bo6bob2ob3ob2obo6bo4bobo5b7o$o7bo4b2obo2b2o4b3o3b5o3b3o4b<br /> 2o2bob2o4bo7bo$bobob4o2bo2b2o3bo4bo3b11o3bo4bo3b2o2bo2b4obobo$2b2obo3b<br /> 3obo7bo3b2o4bo3bo4b2o3bo7bob3o3bob2o$4bobo7b8o4bobob7obobo4b8o7bobo$2b<br /> 2o7b3o10bo17bo10b3o7b2o$2bo3b2obo4b6o3bob3ob2o5b2ob3obo3b6o4bob2o3bo$o<br /> bo9b2o2bo2bo3bobo4b2o3b2o4bobo3bo2bo2b2o9bobo$2o11bo8b2o2b2o4bobo4b2o<br /> 2b2o8bo11b2o$11bo12bobo2bo2bobo2bo2bobo12bo$11b2o11bo3bo4bo4bo3bo11b2o<br /> $25b2ob2obobobob2ob2o$30b2obob2o$28b2obobobob2o$26b2obobobobobob2o$25b<br /> o5bobobo5bo$24bobo2bobobobobo2bobo$24bobo4bobobo4bobo$23b2o4b2obobob2o<br /> 4b2o$24bob3o3bobo3b3obo$24bobo3b2obob2o3bobo$25bo5bobobo5bo$26b5o2bo2b<br /> 5o$31bobobo$28b2o3bo3b2o$28bo2bobobo2bo$30b2obob2o$31bobobo$31bobobo$<br /> 32bobo$33bo!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 7.5 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by unknown person<br /> |style = width:300px;<br /> |apgcode = xp10_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<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 59, y = 32, rule = B3/S23<br /> 26b2o3b2o$25bo2bobo2bo$25bo2bobo2bo2$22b2o4bobo4b2o$22bo2bob2ob2obo2b<br /> o$18bo4bob2o5b2obo4bo$17bobo4bo9bo4bobo$17bob3o3b9o3b3obo$14bob2o4bo4b<br /> obobo4bo4b2obo$7b2o5b2o3b2obo13bob2o3b2o5b2o$6bobo8b2obob2o5bo5b2obob<br /> 2o8bobo$4b3o5b5obobo3bo4bo4bo3bobob5o5b3o$3bo3bo3bo8b2ob3o7b3ob2o8bo3b<br /> o3bo$3bob2o5bo2b2o3b2o3bo7bo3b2o3b2o2bo5b2obo$2obob2o6b2obo8bo3bo3bo8b<br /> ob2o6b2obob2o$o2bobo3bo2b3o2bo7bo2b3o2bo7bo2b3o2bo3bobo2bo$2b2o2bo7b2o<br /> b2ob2o3bo2b3o2bo3b2ob2ob2o7bo2b2o$3bobo2bob2o5b2ob2ob3o7b3ob2ob2o5b2o<br /> bo2bobo$3bob2ob2o8bobo3bo4bo4bo3bobo8b2ob2obo$2b2o2bobo6b2obobob2o5bo<br /> 5b2obobob2o6bobo2b2o$4bobobobo3bo2bob2obo13bob2obo2bo3bobobobo$4b2o3b<br /> 2o3b2obo4bo4bobobo4bo4bob2o3b2o3b2o$17bob3o3b9o3b3obo$17bobo4bo9bo4bo<br /> bo$18bo4bob2o5b2obo4bo$22bo2bob2ob2obo2bo$22b2o4bobo4b2o2$25bo2bobo2b<br /> o$25bo2bobo2bo$26b2o3b2o!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 9.5 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by [[ Caleb R. Hilton ]]<br /> |style = width:300px;<br /> |apgcode = xp10_yiggwjrxrjwggzyag0gs2c88h24b8p0g0p8b42h88c2sg0gzxok4mp3wok4ll4aqpf0bakx131xkab0fpqa4ll4kow3pm4koz314v0kl7om60440611r4r38bkx434xkb83r4r11604406mo7lk0v413zw116430346x651u1qb871g88c272c88g178bq1u156x643034611zye1x65034exe43056x1zym33x33<br /> }}}}<br /> {{gallery bottom}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 252, y = 29, rule = B3/S23<br /> 97b2o54b2o$97b2o54b2o2$54b2o39b4o2bo10b2o24b2o10bo2b4o39b2o$54bo6b2o3b<br /> o7b2o8b2o8bo3bo2b3o8bo26bo8b3o2bo3bo8b2o8b2o7bo3b2o6bo$8b2o27bo18bo4bo<br /> bobobo6bobo3b2obo2bo4b2o2b3o6bo8bo24bo8bo6b3o2b2o4bo2bob2o3bobo6bobobo<br /> bo4bo18bo27b2o$8bobo26b3o8bo6b2o6bobobo8bo4bobo2bo3bo2b2o3b4o2bo5b4o3b<br /> o16bo3b4o5bo2b4o3b2o2bo3bo2bobo4bo8bobobo6b2o6bo8b3o26bobo$10bo2bo26bo<br /> 2bo4b3o3bo8bobob2o2b2o3b2o3bob2ob2o2b3o2b3o4bob2o3bo6bobo14bobo6bo3b2o<br /> bo4b3o2b3o2b2ob2obo3b2o3b2o2b2obobo8bo3b3o4bo2bo26bo2bo$9b2obobo20b4ob<br /> o2b3o5bo2bob3o3b2obo4bo2bo4bo3bo3bo6bo5b2obobo3bobob5o2bo12bo2b5obobo<br /> 3bobob2o5bo6bo3bo3bo4bo2bo4bob2o3b3obo2bo5b3o2bob4o20bobob2o$5b2o2bo2b<br /> obo10bo8bo4bob2o3bo3bo2b2obo2bo5bob2obo2bo2b2obo3b2o2b6o3b3ob2o3bo5b2o<br /> 4bobo12bobo4b2o5bo3b2ob3o3b6o2b2o3bob2o2bo2bob2obo5bo2bob2o2bo3bo3b2ob<br /> o4bo8bo10bobo2bo2b2o$5b2o3b3ob2o3bob2obobo7bob2obo3b4o2bob2o4bobo2b3ob<br /> obobob2obobobo5b2o5b3o3bo2bo3bo3b2o3b2obob2o10b2obob2o3b2o3bo3bo2bo3b<br /> 3o5b2o5bobobob2obobobob3o2bobo4b2obo2b4o3bob2obo7bobob2obo3b2ob3o3b2o$<br /> 17b3ob2obo2bo5b2obobobobo4b3o2bob2obobobo4bobobo2bo2bo2bob4o2bo2bo3bob<br /> 2obob5o2bo2bobo5bo12bo5bobo2bo2b5obob2obo3bo2bo2b4obo2bo2bo2bobobo4bob<br /> obob2obo2b3o4bobobobob2o5bo2bob2ob3o$3b6o3b5o7b2obo5bo2bobobo2b2obo3b<br /> 3obo2bobobo4bo3b4o2bobo2bo4bobobob2o10bob2o6b3ob2obo8bob2ob3o6b2obo10b<br /> 2obobobo4bo2bobo2b4o3bo4bobobo2bob3o3bob2o2bobobo2bo5bob2o7b5o3b6o$3bo<br /> 4bo2bo5b3ob2o4b2o6b3o2bo2b2obob2o2bobo2bobobo4bo5b3o4bo4bo3bo4bobo3bo<br /> 6b2obo3bo4bo2bo8bo2bo4bo3bob2o6bo3bobo4bo3bo4bo4b3o5bo4bobobo2bobo2b2o<br /> bob2o2bo2b3o6b2o4b2ob3o5bo2bo4bo$5b2obobo2b4o2bobob4o2bo5bo4bob2o3bobo<br /> b3ob5o3bobo3bob2o4bo6bob2o4b2obo5bobobo3bo3b3o5bo4bo3bo5b3o3bo3bobobo<br /> 5bob2o4b2obo6bo4b2obo3bobo3b5ob3obobo3b2obo4bo5bo2b4obobo2b4o2bobob2o$<br /> 4b2o2bo2b2o4bo3bo4bobo2bo8bob2o3bo3bo5bob3o2bo3bo2b2o7bobo3bo2b2o2b3ob<br /> 2o2bobobo4b2o3bo2b3o3b3o4b3o2bo3b2o4bobobo2b2ob3o2b2o2bo3bobo7b2o2bo3b<br /> o2b3obo5bo3bo3b2obo8bo2bobo4bo3bo4b2o2bo2b2o$7bob2o2b2ob2obobob3o5b5o<br /> 3bo12bob2obob3o3b4o3bobobo3bo3bob3ob3obo3b2ob2o5b2ob2o2bo2bobo5bo4bobo<br /> 2bo2b2ob2o5b2ob2o3bob3ob3obo3bo3bobobo3b4o3b3obob2obo12bo3b5o5b3obobob<br /> 2ob2o2b2obo$4b2obo2bob2obob3obob3ob2o3b3o3b2o4b2o4b3o5bo13bobob2ob2o6b<br /> obo3b2o4bob2obobobobo4b3ob2o10b2ob3o4bobobobob2obo4b2o3bobo6b2ob2obobo<br /> 13bo5b3o4b2o4b2o3b3o3b2ob3obob3obob2obo2bob2o$2o2bo2bo17b2ob2o7bobobo<br /> 5b3o2bo3bo2b2o6b2o2b2o2bo2b5obo2bobo3bobo8bobo3b5o2bob2o10b2obo2b5o3bo<br /> bo8bobo3bobo2bob5o2bo2b2o2b2o6b2o2bo3bo2b3o5bobobo7b2ob2o17bo2bo2b2o$o<br /> bobo2bobo28bo4b3o11bobo3b2obo2bo2bobo3b2o3bo2b2obo3bobo7b2obobobo4b3o<br /> 16b3o4bobobob2o7bobo3bob2o2bo3b2o3bobo2bo2bob2o3bobo11b3o4bo28bobo2bob<br /> obo$3bo4b2o29b4o3b12obobo2bobo2b2o2bo3b2o11b3o2bob2o5bobobobob3o3b2o<br /> 12b2o3b3obobobobo5b2obo2b3o11b2o3bo2b2o2bobo2bobob12o3b4o29b2o4bo$37bo<br /> bo2bob2o13bob2o2bo29bobo4bobo2b2obobo2b2obo14bob2o2bobob2o2bobo4bobo<br /> 29bo2b2obo13b2obo2bobo$35b3obo2bo2bob4o2b2ob3o31b6obo2b3obo5b2o3bo2bo<br /> 14bo2bo3b2o5bob3o2bob6o31b3ob2o2b4obo2bo2bob3o$34bo5b3o2bobo2bo2b2obo<br /> 33bo6bobo5b4o7b2o16b2o7b4o5bobo6bo33bob2o2bo2bobo2b3o5bo$34b2o10bo44b<br /> 7ob2o7bob2o28b2obo7b2ob7o44bo10b2o$40b3o62b2obobo30bobob2o62b3o$39bo2b<br /> o50b3o10bobobo30bobobo10b3o50bo2bo$39b2o51bo2bo8bobob2o32b2obobo8bo2bo<br /> 51b2o$92b2o10b2o40b2o10b2o!<br /> |viewerconfig = #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 9.5 THEME Book STARTFROM 10 ]]<br /> |position = center<br /> |caption = found by wwei23 and Bullet51<br /> |style = width:300px;<br /> }}}}<br /> {{gallery bottom}}</div>

Bullet51 https://conwaylife.com/w/index.php?title=Orthogonoid&diff=158920 2025-02-26T02:51:29Z

<p>Bullet51: </p> <hr /> <div>{{Spaceship<br /> |name = Orthogonoid<br /> |pname = orthogonoid<br /> |c = 467746<br /> |bx = 868856<br /> |by = 707<br /> |dir = Orthogonal<br /> |p = 3476016<br /> |m = 1738008<br /> |s = 16c/217251<br /> |z = 256c/3476016<br /> |discoverer = Dave Greene<br /> |discoveryear = 2017<br /> |mc = true<br /> |synthesis = 37625<br /> |synthesisRLE = true<br /> }}<br /> The '''Orthogonoid''' is a [[self-constructing]] [[spaceship]] analogous to the [[Demonoid]]s, with a slow [[orthogonal]] direction of travel. The first example was completed by [[Dave Greene]] on 29 June {{year|2017}}, with a top [[speed]] of 16[[speed of light|c]]/217251 (this is just 256c/3476016 in lowest terms).&lt;ref name=&quot;post45486&quot; /&gt;<br /> <br /> The [[construction recipe]] is a stream of [[MWSS]]es, with the [[recovery time]] limited to 90 [[tick]]s by the [[Lx200]] [[dependent conduit]] that follows the initial [[syringe]] [[converter]]. The design is [[hashlife]]-friendly, meaning that the spaceship can be trivially adjusted so that spatial and temporal offsets are exact powers of two; [[period]] 4194304 and period 8388608 versions have been constructed, with speeds of c/16384 and c/32768 respectively. A script is available that can build any other sufficiently large Orthogonoid period.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=&amp;p=56072#p56072 |author=Dave Greene |title=Re: Orthogonoid spaceship -- completed!|date=February 3, 2018|accessdate=February 3, 2018}}&lt;/ref&gt;<br /> <br /> The MWSSes are converted to [[Herschel]]s, which produce a standard [[single-channel]] [[glider stream]] that runs the Orthogonoid's single [[construction arm]]. After the child [[circuitry]] is complete, a previously constructed [[Snark]] in the parent is removed from the construction arm [[lane]], converting it to a &quot;[[destruction arm]]&quot; that efficiently shoots down the previous [[constructor]]/[[reflector]] in the series as soon as it is no longer needed.<br /> <br /> ==Fast Orthogonoids==<br /> <br /> In October 2018, Dave Greene and [[Adam P. Goucher]] built sparse, fast, [[HashLife]]-friendly Orthogonoids with speeds of c/128, c/64 and c/16. Greene noticed that the last of these could be accelerated to 65536c/951573, which is only marginally slower than the theoretical upper bound of c/12 (limited by the [[2-engine Cordership]] and [[3-engine Cordership]]).&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=&amp;p=65106#p65106 |author=Dave Greene |title=Re: Orthogonoid spaceship -- completed!|date=October 28, 2018|accessdate=November 25, 2018}}&lt;/ref&gt;<br /> <br /> The construction of this, together with a [[Demonoid]] and [[loopship]], made extensive use of [[slmake]].&lt;ref&gt;{{cite web|url=http://b3s23life.blogspot.com/2018/11/new-tools-for-self-construction.html |author=Dave Greene |title=New Tools for Self-Construction|date=November 10, 2018|accessdate=November 25, 2018}}&lt;/ref&gt;<br /> <br /> On April 1, 2022, Goldtiger997 designed the [[Speed Orthogonoid]], which can travel at any speed below c/2.<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post45486&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Orthogonoid working notes<br /> |p = 45486<br /> |author = Dave Greene<br /> |date = June 29, 2017<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_o.htm#orthogonoid}}<br /> {{LinkForumThread|f=2|t=2212|title=Orthogonoid spaceship -- completed!}}<br /> <br /> [[Category:Adjustable spaceships]]</div>

Bullet51 https://conwaylife.com/w/index.php?title=Demonoid&diff=158919 2025-02-26T02:49:43Z

<p>Bullet51: </p> <hr /> <div>{{Spaceship<br /> |name = Demonoid<br /> |pname = demonoid<br /> |c = 27250<br /> |bx = 55010<br /> |by = 54964<br /> |dir = Diagonal<br /> |p = 438852<br /> |m = 219426<br /> |s = 65c/438852<br /> |z = 65c/438852<br /> |symmetry = n/e<br /> |discoverer = Chris Cain<br /> |discoverer2 = Dave Greene<br /> |discoveryear = 2015<br /> |rulemin = B3/S23<br /> |rulemax = B3/S23<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |synthesis = 12016<br /> |synthesisRLE = true<br /> |mc = true<br /> }}<br /> '''Demonoid''' is the first type of self-constructing diagonal spaceship in the B3/S23 rule. A small &quot;0hd Demonoid&quot; was completed by [[Chris Cain]] in December 2015, shortly after a much larger 10hd version constructed in November&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1469&amp;p=25716#p25702|title=Re: Demonoid (diagonal Geminoid) completed!|date=December 6, 2015|work=ConwayLife.com forums|author=Chris Cain|accessdate=December 7, 2015}}&lt;/ref&gt; in collaboration with [[Dave Greene]]. The 0hd spaceship displaces itself by 65 cells diagonally every 438,852 generations. As of 2024, it is the only case where a spaceship gun pattern was completed before the actual spaceship -- the first 0hd Demonoid was fired by a gun.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1469&amp;start=175#p25716|title=<br /> Re: Demonoid (diagonal Geminoid) completed!|date=December 7, 2015|work=ConwayLife.com forums|author=Chris Cain|accessdate=January 4, 2016}}&lt;/ref&gt;<br /> <br /> The name &quot;Demonoid&quot; is an accidental portmanteau of &quot;diagonal&quot; and &quot;Geminoid&quot; by [[Paul Chapman]] in February 2013. &quot;0hd&quot; and &quot;10hd&quot; refer to the number of [[half-diagonal]]s separating the two glider lanes in the spaceships' construction arms.<br /> <br /> {{POTY|name=The Demonoids|year=2015|rank=3|behind=the [[Simkin glider gun]] and the [[syringe]]}}<br /> <br /> == Design ==<br /> Similar to the original Gemini spaceship, the Demonoid consists of two identical halves. Where the Gemini's halves are simple translations of each other, each half of the Demonoid is a glide-reflected mirror image of the other. A ''tape'' of gliders continually relays between the two halves, instructing each to construct a daughter configuration.<br /> <br /> In the 0hd Demonoid, each half is itself made up of two identical parts. Each part consists of a [[syringe]]-based 180-degree reflector combined with an [[edge shooter]], plus a scattering of self-destruct circuitry. A cycle is completed when one of these parts is constructed ahead of the spaceship and an identical reflector/edge shooter is destroyed at the back end as soon as its construction work is done.<br /> <br /> == Self-destruct mechanism ==<br /> The self-destruct sequence is triggered by a glider that follows the construction recipe on a slightly different lane. The only output of the cleanup reaction is another trigger glider, which appears in the exact same location as the original trigger glider, relative to the end of the recipe stream.<br /> <br /> == Statistics ==<br /> Demonoids are the smallest known self-constructing or self-supporting spaceships in terms of population, but the [[bounding box]] of the [[centipede]] is about half the size of the smallest Demonoid's bounding box, and the [[waterbear]] is considerably smaller in both longest diameter and bounding box.<br /> <br /> Demonoid variants make up the nineteenth and twentieth explicitly-constructed spaceship velocities, but as with previous self-constructing spaceships they actually represent an infinite family of related velocities. If the two halves of the Demonoid are moved N cells farther away from each other, the 0hd Demonoid travels diagonally at a speed of 65c/(438852+8N).<br /> <br /> == Speed limit ==<br /> Theoretically speaking, a Demonoid spaceship using the 0hd elbow-move library could be designed with any velocity slower but not equal to 17c/792 diagonally, or roughly c/47 -- much faster than the old Gemini limit of c/580&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;p=2405#p2397 |title=Re: Universal Constructor Based Spaceship|work=ConwayLife.com forums|author=Adam P. Goucher|date=May 21, 2010|accessdate=December 9, 2015}}&lt;/ref&gt;. A 0hd elbow can be programmed to move much faster than a Gemini elbow's speed limit of one diagonal cell per coded instruction, and signals in syringe-based Herschel circuitry can be compressed to within 90 ticks of each other. However, any speed faster than 65c/438852 would require the 0hd Demonoid's circuitry and construction recipes to be completely redesigned, with a much larger total size and population in most cases.<br /> <br /> [[Single-channel]] Demonoids have since been created that move a block to the next construction site by creating and triggering a [[seed]] for a spaceship -- e.g., a [[Cordership]] or a [[58P5H1V1]] -- and then shooting it down later with a small [[salvo]] of gliders to produce a faraway target for the [[construction arm]]. Demonoids using Corderships to move a target can approach [[c/12 diagonal|c/12]] in speed, but never quite reach that limit, and 58P5H1V1-based Demonoids can be built with any rational speed below [[c/5 diagonal|c/5]]. A [[crab]]-based [[wickstretcher]] seed discovered by [[Tanner Jacobi]] allows a Demonoid to reach any rational speed slower than [[c/4 diagonal|c/4]], which is the absolute speed limit for any diagonal spaceship in Life.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=101555#p101555 |title= One Glider Seeds|work=ConwayLife.com forums|author=Tanner Jacobi|date=August 2, 2020|accessdate=August 12, 2020}} &lt;/ref&gt; The first such &quot;[[Speed Demonoid]]&quot; to use the crabstretcher in this way was made on September 18, 2020 by Dave Greene and Pavel Grankovskiy.<br /> <br /> == History ==<br /> The first Demonoid designs were significantly larger and more complicated than the final 10hd or 0hd models. Some early designs required all elbow operations to be made from pairs of gliders, with no singleton gliders allowed.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1006#p7339|title=Re: Geminoid Challenge|date=December 22, 2012|work=ConwayLife.com forums|author=Dave Greene|accessdate=December 8, 2015}}&lt;/ref&gt;<br /> <br /> This allowed the gliders in each pair to be coded on a single tape, one directly after the other. However, it greatly increased the amount of timing circuitry needed. It also cut the allowable signal density in half. The signal density was already low because in 2012 the repeat rate for stable Spartan circuitry was 497 ticks or more.<br /> <br /> A sizable improvement involved moving to a design with the two halves of the recipe encoded in series instead of interleaved. This allowed for better signal density, and also any combination of singleton gliders and glider pairs.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1006#p7447|title=Re: Geminoid Challenge|date=February 15, 2013|work=ConwayLife.com forums|author=Dave Greene|accessdate=December 8, 2015}}&lt;/ref&gt;<br /> <br /> These early designs were all 9hd -- the two construction lanes were separated by 9 half diagonals, and a block centered between the lanes served as the elbow. This allowed all elbow operations to be used either directly or in mirror-image, which meant that gliders could be fired either left or right from the elbow, and elbow moves could be mirrored if there was limited space available and the move recipe had a larger spark on one side than on the other.<br /> <br /> After the 9hd [[linear propagator]] was completed, it became clear that 10hd was significantly more efficient, in part because it allowed for two block elbows in slightly different positions between the construction lanes.<br /> <br /> The 10hd and 0hd Demonoid both use a much larger number of elbow locations. A library of thousands of elbow operations allows easy switching between different elbow types, and gliders can be output on any nearby lane by stringing recipes together.<br /> <br /> The 10hd Demonoid was the first complete self-constructing diagonal spaceship.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1469&amp;start=150#p25401|title=Re: Demonoid (diagonal Geminoid) completed!|date=November 25, 2015|work=ConwayLife.com forums|author=Dave Greene|accessdate=December 8, 2015}}&lt;/ref&gt; Its construction recipe encoded two complete 180-degree reflector/edge shooter components, which were mostly identical to each other but had significant differences near the construction lanes. It included complex machinery that blocked the construction lanes during the half of the Demonoid's cycle when the recipe gliders intended for one circuit were passing through the other circuit's reflector.<br /> <br /> The 0hd Demonoid improved on the 10hd model by removing the blocking mechanisms and the resulting long pause in construction. Instead, the two reflector/edge shooter components were designed to be completely identical. Each newly constructed component would first produce the trailing halves of the glider pairs in the next construction recipe. Then the same edge shooter would fire the leading halves of the glider pairs for the following construction.<br /> <br /> In June 2017 Dave Greene completed a much simpler [[single-channel]] Demonoid using a temporary [[lossless elbow]], which displaces itself 79 cells diagonally every 1,183,842 ticks.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=45264#p45264|title=Re: Demonoid (diagonal Geminoid) completed!|date=June 26, 2017|work=ConwayLife.com forums|author=Dave Greene|accessdate=June 3, 2018}}&lt;/ref&gt; This was an improvement in terms of design complexity, but not in terms of speed, population, or bounding box. However, all of these could be further optimized. &quot;Scorbie's Demonoid&quot;, a single-channel Demonoid design with much more compact stable circuitry suggested by Dongook Lee, was completed in October 2018.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=60370#p64321|title=Re: Demonoid (diagonal Geminoid) completed!|date=October 3, 2018|work=ConwayLife.com forums|author=Dave Greene|accessdate=October 3, 2018}}&lt;/ref&gt; A week later this was followed by a larger but more Hashlife-friendly version traveling 32 times faster, using somewhat different construction methods.&lt;ref&gt;{{cite web|url=https://conwaylife.com/forums/viewtopic.php?p=64590#p64590|title=Re: Demonoid (diagonal Geminoid) completed!|date=October 10, 2018|work=ConwayLife.com forums|author=Dave Greene|accessdate=October 10, 2018}}&lt;/ref&gt;<br /> <br /> On September 18, {{year|2020}}, [[Pavel Grankovskiy]] constructed the [[Speed Demonoid]]. It goes at 3492022/17833792=1746011/8916896 ≈ 0.1958c, very close to [[c/5]], making it the fastest Demonoid. It uses double [[crabstretcher]]s to accelerate a self-constructing spaceship to the aforementioned speed. It can be changed to any rational speed below 2c/9. Eight days later, Speed Demonoid version 2 was completed, removing the 2c/9 barrier and enabling the creation of any Demonoid with a speed of less than c/4. <br /> <br /> == Pattern files ==<br /> * [https://conwaylife.com/patterns/demonoid.mc Demonoid]<br /> * [https://conwaylife.com/patterns/demonoid10hd.mc Demonoid 10hd]<br /> <br /> == See also ==<br /> * [[Orthogonoid]]<br /> * [[Gemini]]<br /> * [[Caterloopillar]]<br /> * [[Centipede]]<br /> * [[Waterbear]]<br /> * [[Half-baked knightship]]<br /> * [[Replicator]]<br /> <br /> == References ==<br /> &lt;references /&gt;<br /> <br /> == External links ==<br /> {{LinkLexicon|lex_d.htm#demonoid}}<br /> <br /> [[Category:Non-monotonic spaceships]]<br /> [[Category:Adjustable spaceships]]</div>

Bullet51 https://conwaylife.com/w/index.php?title=Stable_Storage_Spaceship&diff=158918 2025-02-26T02:49:04Z

<p>Bullet51: </p> <hr /> <div>{{Spaceship<br /> |name = Stable Storage Spaceship<br /> |pname = stablestoragespaceship<br /> |c = 633388<br /> |bx = 5123883<br /> |by = 5123663<br /> |dir = Oblique<br /> |slope = 200/7<br /> |p = 81976184<br /> |m = 81976184<br /> |s = (200,7)c/81976184<br /> |z = (200,7)c/81976184<br /> |symmetry = n<br /> |rulemin = B3/S23<br /> |rulemax = B3/S23<br /> |isorulemin = B3/S23<br /> |isorulemax = B3/S23<br /> |discoverer = Goldtiger997<br /> |discoveryear = 2023<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |hideimg = true<br /> }}<br /> The '''Stable Storage Spaceship''' is an oblique constructed spaceship. It was completed by [[Goldtiger997]] and finalised on June 2, 2023.&lt;ref name=&quot;post162210&quot; /&gt; In its initial phase, it consists of a single glider and a 633523-cell [[Still life|stable]] constellation.<br /> <br /> The spaceship's initial population is 633,528. It reaches the minimum of 633,388 shortly after the beginning at generation 907.<br /> <br /> The Stable Storage Spaceship uses a clever shortcut to minimize the amount of complex tape-reading circuitry. There's a static tape consisting of the presence or absence of boats at regular intervals -- but there's no &quot;read arm&quot; and no separate READ and COPY stage for each cycle. Instead a [[seed]] is constructed for a mobile &quot;read head&quot; consisting of a paired [[Corderpuffer]] and Corderrake, which passes by the [[boat]]s encoding the [[construction recipe]] and moves them by (200,7) while also converting them to gliders on a particular [[lane]], aimed back to the starting point to activate the construction arm.<br /> <br /> The construction arm consists of nothing more than a [[period-256 glider gun]] and a [[p8 bumper]]. It's designed to produce the same glider-pair spacing as the native [[RCT]] construction arm, and it turns out that many of the same [[elbow operation]]s still work, even though the relative timings of the gliders in the pairs is a bit different. So the Stable Storage Spaceship, like the RCT, relies on the fact that [[universal construction]] can be achieved by a long enough series of free choices between sending a singleton glider vs. sending a pair of gliders on lanes separated by 6 [[half-diagonal]]s, aimed at a [[construction elbow]] object.<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post162210&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 162210<br /> |title = Re: Stable Storage Spaceship Challenge (Super Half Baked)<br /> |author = Goldtiger997<br /> |date = June 2, 2023<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> [[Category:Adjustable spaceships]]</div>

Bullet51 https://conwaylife.com/w/index.php?title=Technology&diff=156680 2024-11-02T15:26:40Z

<p>Bullet51: </p> <hr /> <div>{{Glossary}}<br /> '''Technology''' is the collective set of known [[reaction]]s exploiting one subset of the [[Conway's Game of Life|Life]] universe. Examples of these subsets include [[glider synthesis]], period-30 glider [[stream]]s,&lt;ref&gt;{{LinkForumThread|format=ref|f=2|t=243|p=1060|title=triller's p30 thread|author=triller|date=September 4, 2009}}&lt;/ref&gt; period-46 [[circuitry]],&lt;ref&gt;{{LinkForumThread|format=ref|f=2|t=1662|p=18268|title=p46 technology thread|author=Extrementhusiast|date=March 26, 2015}}&lt;/ref&gt; ''c''/3 [[spaceship]]s, [[grayship]]s, [[sparker]]s, [[Herschel conduit]]s, [[HashLife]]-friеndly patterns, [[slow salvo]]s, [[universal constructor]]s, and many more.&lt;ref name=&quot;post19514&quot; /&gt; As new reactions and objects are found, over time any particular technology becomes more versatile and complete. Many [[Life enthusiast|Life experts]] like to concentrate on particular technologies.<br /> <br /> ==See also==<br /> * {{CategoryLink|Technologies}}<br /> * [[Toolkit]]<br /> * [[Stable technology]], [[p30 technology]], [[p46 technology]], [[p690 technology]]<br /> * [[Racetrack (disambiguation)]]<br /> * [[Tutorials/General technology]]<br /> * [[Timeline of Life facts]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post19514&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 19514<br /> |title = Re: Question: Guns that can be pointed in a direction?<br /> |author = Extrementhusiast<br /> |date = May 10, 2015<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> * {{LinkLexicon|lex_t.htm#technology}}<br /> <br /> [[Category:Technologies| ]]</div>

Bullet51 https://conwaylife.com/w/index.php?title=Mirek%27s_Cellebration&diff=156672 2024-11-02T09:06:50Z

<p>Bullet51: </p> <hr /> <div>{{Software<br /> |name = Mirek's Cellebration<br /> |image = true<br /> |url = http://www.mirekw.com/ca/index.html<br /> |purpose = [[Cellular automaton]] simulation<br /> |createdby = [[Mirek Wójtowicz]]<br /> |platform = 32-bit Windows<br /> }}<br /> '''Mirek's Cellebration''' (often shortened to '''MCell''') is a tool for simulating [[cellular automata]], including [[Conway's Game of Life]] (and other [[Life-like cellular automata]]), [[1D cellular automata|1D totalistic]] cellular automata, [[Margolus neighbourhood]] rules, [[generations]] rules, &quot;[[Larger than Life|Larger than Life]]&quot; rules with larger [[neighborhood]]s, as well as many others. Written in Borland Delphi, it was first released in 1999. Although written for 32-bit Windows,{{refn|group=note|An error named Exception EOleSysError may occur when running MCell on modern Windows, in which case one can try running it as Administrator or in a compatibility mode.&lt;ref name=&quot;post50403&quot; /&gt;}} MCell runs flawlessly in UNIX/Linux under Wine.<br /> <br /> == See also ==<br /> * [[MCell (file format)]]<br /> <br /> == Notes ==<br /> &lt;references group=&quot;note&quot; /&gt;<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post50403&quot;&gt;{{LinkForumThread<br /> |p = 50403<br /> |format = ref<br /> |title = Re: Thread for basic questions<br /> |author = Apple Bottom<br /> |date = September 2, 2017<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> == External links ==<br /> * [http://www.mirekw.com/ca/index.html Mirek's Cellebration homepage]<br /> * [https://web.archive.org/web/20210425162925/http://psoup.math.wisc.edu/mcell/ Mirek's Cellebration homepage (mirror)]<br /> * {{LinkForumThread|f=4|t=816|title=Running MCell}}<br /> * {{LinkForumThread|f=11|t=935|title=MCell Weighted Life (Patterns and Rules)}}<br /> * {{LinkForumThread|f=11|t=4853|title=Your MCell patterns}}<br /> <br /> [[Category:Simulation software]]<br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=Octagon_2&diff=146460 2024-03-02T05:25:42Z

<p>Bullet51: /* Phase shifting */</p> <hr /> <div>{{Oscillator<br /> |name = Octagon 2<br /> |pname = octagon2<br /> |c = 16<br /> |bx = 8<br /> |by = 8<br /> |fc = 29.3<br /> |p = 5<br /> |m = 5<br /> |h = 16<br /> |v = 0.80<br /> |discoverer = Arthur Taber<br /> |discoverer2 = Sol Goodman<br /> |discoveryear = 1971<br /> |rulemin = B3/S23<br /> |rulemax = B3578/S023678<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3aij/S2ckn3nqy<br /> |isorulemax = B2-ae34-ew56-n78/S01c234-ar5-j678<br /> |synthesis = 5<br /> |synthesisRLE = true<br /> |plaintext = true<br /> |rle = true<br /> |apgcode = xp5_idiidiz01w1<br /> |pentadecathlonid = 16P5.1<br /> |animated = true<br /> |viewerconfig = #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 42 GPS 2 ]]<br /> }}<br /> '''Octagon 2''' is the first known {{period|5}} [[oscillator]], discovered in {{year|1971}} independently by [[Sol Goodman]] and [[Arthur Taber]];&lt;ref&gt;{{CiteHickersonOscillators|accessdate=March 14, 2020}}&lt;/ref&gt; the name is due to the latter. Its discovery was first reported in [[Lifeline Volume 1]].&lt;ref&gt;{{CiteLifeline|vol=1|pages=page 5}}&lt;/ref&gt;<br /> <br /> A {{gliders|5}} [[Glider synthesis|synthesis]] for this oscillator was found and submitted to [[Catagolue]] by [[Carson Cheng]]&lt;ref name=&quot;message997664404323709048&quot; /&gt; in May {{year|2022}}.&lt;ref&gt;{{CiteCatagolueJob‎|job=2425153643|date=May 6, 2022|accessdate=May 13, 2022}}&lt;/ref&gt;<br /> <br /> == Phase shifting ==<br /> An octagon 2 can be used as a block catalyst on each side [[Phase shift|to skip a phase]].<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p24shuttleshasslingoctagon2<br /> |viewerconfig = #C [[ GPS 12 ZOOM 10 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Four [[p24 shuttle]]s hassling an octagon 2. Found by [[Nicolay Beluchenko]] in March 2009&lt;ref&gt;{{LinkGoLNews|2009/04/new_oscillators_5.html|title=New Oscillators|date=April 14, 2009|author=Heinrich Koenig‏‎}}&lt;/ref&gt;<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = merzenichsp64shasslingoctagon2<br /> |viewerconfig = #C [[ GPS 32 ZOOM 10 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Four [[Merzenich's p64]]s hassling an octagon 2<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 30, y = 30, rule = B3/S23<br /> 8bob2o4b2obo$8b2o2bo2bo2b2o$6b2o3bo4bo3b2o$5bo3b2ob4ob2o3bo$6b3obobo2bobob3o$<br /> 8bobob4obobo6bo$10bo2b2o2bo7bobo$3bo7b2o2b2o8bobo$2bobo19b2o2b2o$2bobo21bobo$<br /> 2o2b2o17b4o2bo$bobo9bo2bo5bo4bobo$o2b4o6bo2bo5bob3obo$obo4bo3b2ob2ob2o4b2obo$<br /> bob3obo5bo2bo6b2obo$3bob2o6bo2bo5bob3obo$3bob2o4b2ob2ob2o3bo4bobo$bob3obo5bo<br /> 2bo6b4o2bo$obo4bo5bo2bo9bobo$o2b4o17b2o2b2o$bobo21bobo$2o2b2o19bobo$2bobo8b2o<br /> 2b2o7bo$2bobo7bo2b2o2bo$3bo6bobob4obobo$8b3obobo2bobob3o$7bo3b2ob4ob2o3bo$8b<br /> 2o3bo4bo3b2o$10b2o2bo2bo2b2o$10bob2o4b2obo!<br /> |viewerconfig = #C [[ GPS 32 ZOOM 14 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Four [[50P9]]s hassling an octagon 2<br /> |style = width:300px;<br /> |apgcode = xp9_y18kkjap5q88q5pajkk8zwo4ox10167w76101y08eh6o8zdj8mllooxgo4664ogx6655t243zo48nkkccx134cc431x33lld2pmz23che2y0g0gcswscg0gx343zy3255pajkb22bkjap552<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 38, y = 38, rule = B3/S23<br /> 7bobo16bobo$7b2obo14bob2o$10bo2b2o6b2o2bo$7b2obobobo6bobobob2o$7bo2bo<br /> 2bo8bo2bo2bo$9bo16bo$11bo12bo$9b3o5b2o5b3o6b2ob2o$16bo2bo14bobo$2ob2o<br /> 8b2obo2bob2o7bobo4bo$bobo9b2obo2bob2o7bo2b4o$o4bobo8bo2bo10b2o$b4o2bo<br /> 9b2o15bo$6b2o19b2o4bobo$3bo23b2o5b2o$2bobo4b2o6bo2bo$2b2o5b2o6bo2bo5b<br /> 4o$15b2ob2ob2o2bo4bo$8b4o5bo2bo4bo4bo$7bo4bo4bo2bo5b4o$7bo4bo2b2ob2ob<br /> 2o$8b4o5bo2bo6b2o5b2o$17bo2bo6b2o4bobo$2b2o5b2o23bo$2bobo4b2o19b2o$3bo<br /> 15b2o9bo2b4o$6b2o10bo2bo8bobo4bo$b4o2bo7b2obo2bob2o9bobo$o4bobo7b2obo<br /> 2bob2o8b2ob2o$bobo14bo2bo$2ob2o6b3o5b2o5b3o$13bo12bo$11bo16bo$9bo2bo2b<br /> o8bo2bo2bo$9b2obobobo6bobobob2o$12bo2b2o6b2o2bo$9b2obo14bob2o$9bobo16b<br /> obo!<br /> |viewerconfig = #C [[ GPS 32 ZOOM 12 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Four [[Period-7 sparkers|60P7]]s hassling an octagon 2 into p14<br /> |style = width:300px;<br /> |apgcode = xp14_y3ra1u08kcy2ck80u1arzgg0ggy09720ggwsswgg0279wgwg4c0ckz254l46c42y011w77w11y0oo01319lp1zw321wggjjggxsq66qsxcccccczwo8gw11pp11x123321y166wg04a6z8k4l4c648wgxccwvvwccxg21139d1daz11011y0og4v2g8gw11wg8g2v4gozy56243w11y211w3426<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> == Occurrence ==<br /> {{related|List of common oscillators}}<br /> Octagon 2 is about the twenty-sixth most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]], being about as common as [[unix]].&lt;ref&gt;{{citeAchim|accessdate=January 15, 2009}}&lt;/ref&gt; On [[Catagolue]], it is the most common period 5 oscillator, being more common than [[fumarole]].&lt;ref&gt;{{citeCatagolueStats|October 27, 2018}}&lt;/ref&gt;<br /> <br /> In even 8-fold [[symmetry]] (D8_4), it is the nineteenth most common object and the fifth most common oscillator, appearing in 1 in 80 soups.<br /> <br /> == In other rules ==<br /> In B3-a/S23, this pattern skips a phase and becomes a period 4 pattern.<br /> <br /> == See also ==<br /> * [[Octagon 4]]<br /> * [[Smallest period 5 oscillators]]<br /> * [[Highest volatility period 5 oscillators]]<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;message997664404323709048&quot;&gt;{{CiteDiscord<br /> |author = Carson Cheng<br /> |date = July 15, 2022<br /> |channel = cgol<br /> |id = 997664404323709048<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> == External links ==<br /> * {{LinkLexicon|lex_o.htm#octagonii}}<br /> * {{LinkCatagolue|xp5_idiidiz01w1}}<br /> * {{LinkNiemiec|p5.htm#p5-16|The 1 sixteen-bit period 5 oscillator|rle=16/16oc.rle}}<br /> * {{LinkPentadecathlonObject|16P5.1|archivedate=20221105105902}}<br /> <br /> {{Symmetry|full}}<br /> {{Sparker|p=5|strength=weak}}<br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=Octagon_2&diff=146459 2024-03-02T05:24:15Z

<p>Bullet51: /* Phase shifting */</p> <hr /> <div>{{Oscillator<br /> |name = Octagon 2<br /> |pname = octagon2<br /> |c = 16<br /> |bx = 8<br /> |by = 8<br /> |fc = 29.3<br /> |p = 5<br /> |m = 5<br /> |h = 16<br /> |v = 0.80<br /> |discoverer = Arthur Taber<br /> |discoverer2 = Sol Goodman<br /> |discoveryear = 1971<br /> |rulemin = B3/S23<br /> |rulemax = B3578/S023678<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3aij/S2ckn3nqy<br /> |isorulemax = B2-ae34-ew56-n78/S01c234-ar5-j678<br /> |synthesis = 5<br /> |synthesisRLE = true<br /> |plaintext = true<br /> |rle = true<br /> |apgcode = xp5_idiidiz01w1<br /> |pentadecathlonid = 16P5.1<br /> |animated = true<br /> |viewerconfig = #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 42 GPS 2 ]]<br /> }}<br /> '''Octagon 2''' is the first known {{period|5}} [[oscillator]], discovered in {{year|1971}} independently by [[Sol Goodman]] and [[Arthur Taber]];&lt;ref&gt;{{CiteHickersonOscillators|accessdate=March 14, 2020}}&lt;/ref&gt; the name is due to the latter. Its discovery was first reported in [[Lifeline Volume 1]].&lt;ref&gt;{{CiteLifeline|vol=1|pages=page 5}}&lt;/ref&gt;<br /> <br /> A {{gliders|5}} [[Glider synthesis|synthesis]] for this oscillator was found and submitted to [[Catagolue]] by [[Carson Cheng]]&lt;ref name=&quot;message997664404323709048&quot; /&gt; in May {{year|2022}}.&lt;ref&gt;{{CiteCatagolueJob‎|job=2425153643|date=May 6, 2022|accessdate=May 13, 2022}}&lt;/ref&gt;<br /> <br /> == Phase shifting ==<br /> An octagon 2 can be used as a block catalyst on each side [[Phase shift|to skip a phase]].<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = p24shuttleshasslingoctagon2<br /> |viewerconfig = #C [[ GPS 12 ZOOM 10 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Four [[p24 shuttle]]s hassling an octagon 2. Found by [[Nicolay Beluchenko]] in March 2009&lt;ref&gt;{{LinkGoLNews|2009/04/new_oscillators_5.html|title=New Oscillators|date=April 14, 2009|author=Heinrich Koenig‏‎}}&lt;/ref&gt;<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = merzenichsp64shasslingoctagon2<br /> |viewerconfig = #C [[ GPS 32 ZOOM 10 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Four [[Merzenich's p64]]s hassling an octagon 2<br /> |style = width:300px;<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 30, y = 30, rule = B3/S23<br /> 8bob2o4b2obo$8b2o2bo2bo2b2o$6b2o3bo4bo3b2o$5bo3b2ob4ob2o3bo$6b3obobo2bobob3o$<br /> 8bobob4obobo6bo$10bo2b2o2bo7bobo$3bo7b2o2b2o8bobo$2bobo19b2o2b2o$2bobo21bobo$<br /> 2o2b2o17b4o2bo$bobo9bo2bo5bo4bobo$o2b4o6bo2bo5bob3obo$obo4bo3b2ob2ob2o4b2obo$<br /> bob3obo5bo2bo6b2obo$3bob2o6bo2bo5bob3obo$3bob2o4b2ob2ob2o3bo4bobo$bob3obo5bo<br /> 2bo6b4o2bo$obo4bo5bo2bo9bobo$o2b4o17b2o2b2o$bobo21bobo$2o2b2o19bobo$2bobo8b2o<br /> 2b2o7bo$2bobo7bo2b2o2bo$3bo6bobob4obobo$8b3obobo2bobob3o$7bo3b2ob4ob2o3bo$8b<br /> 2o3bo4bo3b2o$10b2o2bo2bo2b2o$10bob2o4b2obo!<br /> |viewerconfig = #C [[ GPS 32 ZOOM 14 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Four [[50P9]]s hassling an octagon 2<br /> |style = width:300px;<br /> |apgcode = xp9_y18kkjap5q88q5pajkk8zwo4ox10167w76101y08eh6o8zdj8mllooxgo4664ogx6655t243zo48nkkccx134cc431x33lld2pmz23che2y0g0gcswscg0gx343zy3255pajkb22bkjap552<br /> }}}}<br /> {{gallery item|{{EmbedViewer<br /> |rle = x = 38, y = 38, rule = B3/S23<br /> 7bobo16bobo$7b2obo14bob2o$10bo2b2o6b2o2bo$7b2obobobo6bobobob2o$7bo2bo<br /> 2bo8bo2bo2bo$9bo16bo$11bo12bo$9b3o5b2o5b3o6b2ob2o$16bo2bo14bobo$2ob2o<br /> 8b2obo2bob2o7bobo4bo$bobo9b2obo2bob2o7bo2b4o$o4bobo8bo2bo10b2o$b4o2bo<br /> 9b2o15bo$6b2o19b2o4bobo$3bo23b2o5b2o$2bobo4b2o6bo2bo$2b2o5b2o6bo2bo5b<br /> 4o$15b2ob2ob2o2bo4bo$8b4o5bo2bo4bo4bo$7bo4bo4bo2bo5b4o$7bo4bo2b2ob2ob<br /> 2o$8b4o5bo2bo6b2o5b2o$17bo2bo6b2o4bobo$2b2o5b2o23bo$2bobo4b2o19b2o$3bo<br /> 15b2o9bo2b4o$6b2o10bo2bo8bobo4bo$b4o2bo7b2obo2bob2o9bobo$o4bobo7b2obo<br /> 2bob2o8b2ob2o$bobo14bo2bo$2ob2o6b3o5b2o5b3o$13bo12bo$11bo16bo$9bo2bo2b<br /> o8bo2bo2bo$9b2obobobo6bobobob2o$12bo2b2o6b2o2bo$9b2obo14bob2o$9bobo16b<br /> obo!<br /> |viewerconfig = #C [[ GPS 32 ZOOM 12 HEIGHT 600 ]]<br /> |position = center<br /> |caption = Four [[60P7]]s hassling an octagon 2 into p14<br /> |style = width:300px;<br /> |apgcode = xp14_y3ra1u08kcy2ck80u1arzgg0ggy09720ggwsswgg0279wgwg4c0ckz254l46c42y011w77w11y0oo01319lp1zw321wggjjggxsq66qsxcccccczwo8gw11pp11x123321y166wg04a6z8k4l4c648wgxccwvvwccxg21139d1daz11011y0og4v2g8gw11wg8g2v4gozy56243w11y211w3426<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> == Occurrence ==<br /> {{related|List of common oscillators}}<br /> Octagon 2 is about the twenty-sixth most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]], being about as common as [[unix]].&lt;ref&gt;{{citeAchim|accessdate=January 15, 2009}}&lt;/ref&gt; On [[Catagolue]], it is the most common period 5 oscillator, being more common than [[fumarole]].&lt;ref&gt;{{citeCatagolueStats|October 27, 2018}}&lt;/ref&gt;<br /> <br /> In even 8-fold [[symmetry]] (D8_4), it is the nineteenth most common object and the fifth most common oscillator, appearing in 1 in 80 soups.<br /> <br /> == In other rules ==<br /> In B3-a/S23, this pattern skips a phase and becomes a period 4 pattern.<br /> <br /> == See also ==<br /> * [[Octagon 4]]<br /> * [[Smallest period 5 oscillators]]<br /> * [[Highest volatility period 5 oscillators]]<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;message997664404323709048&quot;&gt;{{CiteDiscord<br /> |author = Carson Cheng<br /> |date = July 15, 2022<br /> |channel = cgol<br /> |id = 997664404323709048<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> == External links ==<br /> * {{LinkLexicon|lex_o.htm#octagonii}}<br /> * {{LinkCatagolue|xp5_idiidiz01w1}}<br /> * {{LinkNiemiec|p5.htm#p5-16|The 1 sixteen-bit period 5 oscillator|rle=16/16oc.rle}}<br /> * {{LinkPentadecathlonObject|16P5.1|archivedate=20221105105902}}<br /> <br /> {{Symmetry|full}}<br /> {{Sparker|p=5|strength=weak}}<br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=Polyomino/Snippet&diff=144005 2024-01-03T11:51:43Z

<p>Bullet51: </p> <hr /> <div>&lt;noinclude&gt;{{Snippet}}&lt;/noinclude&gt;[[Image:Cross_small.png|right]]A '''polyomino''' (or simply '''omino''') is a finite collection of orthogonally connected [[cell]]s. Conway's early investigations of [[Conway's Game of Life|Life]] and other [[cellular automaton|cellular automata]] involved tracking the histories of small polyominoes, this being a reasonable way to ascertain the typical behaviour of different cellular automata when the patterns had to be evolved by hand rather than by computer. Polyominoes have no special significance in Life, but their extensive study during the early years lead to a number of important discoveries and has influenced the terminology of Life.<br /> <br /> It is possible for a polyomino to be an [[oscillator]]. In fact, there are infinitely many examples of such polyominoes, including the [[cross]] and its larger analogues. The only other known examples are the [[block]] (which has [[period]] 1), the [[blinker]], the [[toad]], the [[star]] (and its hybrid with cross that gives another [[extensible]] family of period-3 oscillators) and (in two different phases) the [[pentadecathlon]].<br /> <br /> A polyomino can also be a [[spaceship]], though the only known examples are the [[lightweight spaceship]], the [[middleweight spaceship]], and the [[heavyweight spaceship]].</div>

Bullet51 https://conwaylife.com/w/index.php?title=Polyomino/Snippet&diff=144004 2024-01-03T11:51:17Z

<p>Bullet51: </p> <hr /> <div>&lt;noinclude&gt;{{Snippet}}&lt;/noinclude&gt;[[Image:Cross_small.png|right]]A '''polyomino''' (or simply '''omino''') is a finite collection of orthogonally connected [[cell]]s. Conway's early investigations of [[Conway's Game of Life|Life]] and other [[cellular automaton|cellular automata]] involved tracking the histories of small polyominoes, this being a reasonable way to ascertain the typical behaviour of different cellular automata when the patterns had to be evolved by hand rather than by computer. Polyominoes have no special significance in Life, but their extensive study during the early years lead to a number of important discoveries and has influenced the terminology of Life.<br /> <br /> It is possible for a polyomino to be an [[oscillator]]. In fact, there are infinitely many examples of such polyominoes, including the [[cross]] and its larger analogues. The only other known examples are the [[block]] (which has [[period]] 1), the [[blinker]], the [[toad]], the [[star]] (and its hybrid with cross that gives another [[extensible]] family of period-3 oscillators&lt;ref name=&quot;post155104&quot; /&gt;) and (in two different phases) the [[pentadecathlon]].<br /> <br /> A polyomino can also be a [[spaceship]], though the only known examples are the [[lightweight spaceship]], the [[middleweight spaceship]], and the [[heavyweight spaceship]].</div>

Bullet51 https://conwaylife.com/w/index.php?title=Pi_ship_1&diff=143842 2023-12-31T06:33:31Z

<p>Bullet51: </p> <hr /> <div>{{GrowingSpaceship<br /> |name = Pi ship 1<br /> |pname = piship1<br /> |c = 452<br /> |bx = 99<br /> |by = 29<br /> |dir = Orthogonal<br /> |fp = 18<br /> |fs = c/2<br /> |bp = 30<br /> |bs = 3c/10<br /> |discoverer = David Bell<br /> |discoveryear = 1971<br /> |rulemin = B3/S23<br /> |rulemax = B3/S23<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3/S23<br /> |isorulemax = B34e6e/S234c5r6i<br /> |plaintext = true<br /> |rle = true<br /> |viewerconfig = [[ ZOOM 5 ]]<br /> }}<br /> The '''pi ship''' is a [[growing spaceship]] constructed by [[David Bell]]&lt;ref&gt;{{citation|author=[[David Bell]]|date=October 19, 1992|title=[[Spaceships in Conway's Life]] (Part 6)}}&lt;/ref&gt; which relies on the reappearance of the [[pi-heptomino]] 30 [[generation]]s through its evolution. [[Mike Beeler]] showed in [[Lifeline Volume 4]]&lt;ref&gt;{{CiteLifeline|vol=4|pages=page 3}}&lt;/ref&gt; that a pair of [[block]]s [[block fuse#3c/10|suppresses]] the pi's self-destructive exhaust and allows the reincarnated pi to evolve again, nine cells further forward. These blocks can of course be laid down by a [[puffer]], and that puffer is the front part of the pi ship.<br /> {{gallery top}}<br /> {{gallery item|{{EmbedViewer<br /> |pname = pishipblockpuffer<br /> |viewerconfig = #C [[ HEIGHT 360 WIDTH 840 THUMBSIZE 2 ZOOM 8 ]]<br /> |position = center<br /> |caption = Pi ship block puffer<br /> |style = width:300px;<br /> }}}}<br /> {{gallery bottom}}<br /> <br /> ==See also==<br /> * [[Pi ship]]<br /> <br /> ==References==<br /> &lt;references /&gt;<br /> <br /> ==External links==<br /> * {{LinkGoLNews|2005/03/pi_waves_and_pi_tracks.html|title=Pi Waves and Pi Tracks|date=March 19, 2005|author=Heinrich Koenig}}<br /> <br /> {{Symmetry|orthogonal2}}</div>

Bullet51 https://conwaylife.com/w/index.php?title=Period-256_glider_gun&diff=142290 2023-12-07T08:47:06Z

<p>Bullet51: </p> <hr /> <div>{{Gun<br /> |name = Period-256 glider gun<br /> |pname = period256glidergun<br /> |c = 90<br /> |bx = 49<br /> |by = 49<br /> |p = 256<br /> |b = 4<br /> |discoverer = David Buckingham<br /> |discoveryear = 1995<br /> |rulemin = B3/S23<br /> |rulemax = B38/S238<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3/S23<br /> |isorulemax = B34ce8/S234c8<br /> |animated = true<br /> |plaintext = true<br /> |rle = true<br /> |viewerconfig = #C [[ MAXGRIDSIZE 9 WIDTH 800 HEIGHT 800 THUMBSIZE 3 ZOOM 15 KILLGLIDERS GPS 15 ]]<br /> }}<br /> A '''period-256 glider gun''' is any [[glider gun]] with [[true]] [[period]] 256.<br /> <br /> A true period-256 four-[[barrel]]led glider gun was found by [[David Buckingham]] on September 26, {{year|1995}}, serving as an early &quot;teaser&quot; before releasing his full [[Herschel]] [[technology]]. It uses four [[R64]] conduits to make a [[Herschel loop]], which used to be the second smallest in terms of [[bounding box]] until the discovery of [[R49]].<br /> <br /> Either [[eater 1]]s or [[snake]]s can be added as shown in the infobox, to suppress three of the glider [[stream]]s so that only one stream escapes. This gun's p256 glider stream is well-suited for repeated reactions with receding [[Cordership]]s, or for &quot;[[Hashlife]]-friendly&quot; signal circuitry.<br /> <br /> {{EmbedViewer<br /> |pname = p256glidergunwithboatbits<br /> |viewerconfig = #C [[ THUMBSIZE 2 WIDTH 600 HEIGHT 600 ZOOM 10 THEME Book STARTFROM 495 ]]<br /> |position = center<br /> |caption = Using [[boat-bit]]s makes the former smallest known period-512 oscillator by population<br /> |style = width:300px;<br /> }}<br /> <br /> == Gallery ==<br /> <br /> {{EmbedViewer<br /> |pname = p128herschelloop<br /> |viewerconfig = #C [[ THUMBSIZE 2 WIDTH 1100 HEIGHT 600 ZOOM 8 ]]<br /> |position = center<br /> |caption = Two related period-128 Herschel loops with [[Kok's galaxy|Kok's galaxies]] and [[figure eight]]s. The left one ({{LinkCatagolue|xp128_ycg0gwgya777ooozybil11010n5yb111zyb234206261y2ccw88gzxgggym2d9073y64b23021eazsss333yzx57840c4d2zyaci364yio8gzyd247yh18ogiczy0gc8c084o8yr1y6gggeeezy0kt0g0ggl9y6go04cgym333zy21w101y7134510ccy3ogo0g8ggzyx9qy1bizyf777oooy811210313zyi111|style=brief}}) was found by Buckingham before November 1991, which can be modified to a Herschel factory.&lt;ref name=&quot;post101198&quot; /&gt; The right one ({{LinkCatagolue|xp128_y566y133yassszy1ccy033yc777y433y0ggzwgggyx66w11zw333sssyaggyj66zy8q62sy1ebg8m264cxkb2szy834d2x326461gt7y13465y0gggz66yz333sssz0oow66zy3ccy1gggeeeycccy033zya333yaccy166|style=brief}}) is an unsuccessful attempt to make a p64 oscillator.&lt;ref name=&quot;post100603&quot; /&gt;<br /> |style = width:300px;<br /> }}<br /> <br /> == See also ==<br /> * [[Simkin glider gun]]<br /> * [[p67 Herschel loop]]<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post100603&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 100603<br /> |title = Re: Thread for your unsure discoveries<br /> |author = Adam P. Goucher<br /> |date = July 17, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post101198&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 101198<br /> |title = Re: Thread for your unsure discoveries<br /> |author = Louis-François Handfield<br /> |date = July 27, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> == External links ==<br /> * {{LinkLexicon|lex_p.htm#p256gun}}<br /> * {{LinkCallahan|patterns/bhept/bhept.html|patternname=Buckingham on B-heptominos in oscillators}}<br /> * {{LinkCatagolue|guntrue_256|format=linear growth|style=nobullet}}<br /> <br /> {{Symmetry|osc=turn90}}<br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=Period-256_glider_gun&diff=142289 2023-12-07T08:45:55Z

<p>Bullet51: The smallest p512 oscillator known at present is the p8 shuttle, with 92 cells. The link is https://conwaylife.com/wiki/User:Galoomba/Skopje.</p> <hr /> <div>{{Gun<br /> |name = Period-256 glider gun<br /> |pname = period256glidergun<br /> |c = 90<br /> |bx = 49<br /> |by = 49<br /> |p = 256<br /> |b = 4<br /> |discoverer = David Buckingham<br /> |discoveryear = 1995<br /> |rulemin = B3/S23<br /> |rulemax = B38/S238<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3/S23<br /> |isorulemax = B34ce8/S234c8<br /> |animated = true<br /> |plaintext = true<br /> |rle = true<br /> |viewerconfig = #C [[ MAXGRIDSIZE 9 WIDTH 800 HEIGHT 800 THUMBSIZE 3 ZOOM 15 KILLGLIDERS GPS 15 ]]<br /> }}<br /> A '''period-256 glider gun''' is any [[glider gun]] with [[true]] [[period]] 256.<br /> <br /> A true period-256 four-[[barrel]]led glider gun was found by [[David Buckingham]] on September 26, {{year|1995}}, serving as an early &quot;teaser&quot; before releasing his full [[Herschel]] [[technology]]. It uses four [[R64]] conduits to make a [[Herschel loop]], which used to be the second smallest in terms of [[bounding box]] until the discovery of [[R49]].<br /> <br /> Either [[eater 1]]s or [[snake]]s can be added as shown in the infobox, to suppress three of the glider [[stream]]s so that only one stream escapes. This gun's p256 glider stream is well-suited for repeated reactions with receding [[Cordership]]s, or for &quot;[[Hashlife]]-friendly&quot; signal circuitry.<br /> <br /> {{EmbedViewer<br /> |pname = p256glidergunwithboatbits<br /> |viewerconfig = #C [[ THUMBSIZE 2 WIDTH 600 HEIGHT 600 ZOOM 10 THEME Book STARTFROM 495 ]]<br /> |position = center<br /> |caption = Using [[boat-bit]]s makes the formerly smallest known period-512 oscillator<br /> |style = width:300px;<br /> }}<br /> <br /> == Gallery ==<br /> <br /> {{EmbedViewer<br /> |pname = p128herschelloop<br /> |viewerconfig = #C [[ THUMBSIZE 2 WIDTH 1100 HEIGHT 600 ZOOM 8 ]]<br /> |position = center<br /> |caption = Two related period-128 Herschel loops with [[Kok's galaxy|Kok's galaxies]] and [[figure eight]]s. The left one ({{LinkCatagolue|xp128_ycg0gwgya777ooozybil11010n5yb111zyb234206261y2ccw88gzxgggym2d9073y64b23021eazsss333yzx57840c4d2zyaci364yio8gzyd247yh18ogiczy0gc8c084o8yr1y6gggeeezy0kt0g0ggl9y6go04cgym333zy21w101y7134510ccy3ogo0g8ggzyx9qy1bizyf777oooy811210313zyi111|style=brief}}) was found by Buckingham before November 1991, which can be modified to a Herschel factory.&lt;ref name=&quot;post101198&quot; /&gt; The right one ({{LinkCatagolue|xp128_y566y133yassszy1ccy033yc777y433y0ggzwgggyx66w11zw333sssyaggyj66zy8q62sy1ebg8m264cxkb2szy834d2x326461gt7y13465y0gggz66yz333sssz0oow66zy3ccy1gggeeeycccy033zya333yaccy166|style=brief}}) is an unsuccessful attempt to make a p64 oscillator.&lt;ref name=&quot;post100603&quot; /&gt;<br /> |style = width:300px;<br /> }}<br /> <br /> == See also ==<br /> * [[Simkin glider gun]]<br /> * [[p67 Herschel loop]]<br /> <br /> == References ==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post100603&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 100603<br /> |title = Re: Thread for your unsure discoveries<br /> |author = Adam P. Goucher<br /> |date = July 17, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post101198&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |p = 101198<br /> |title = Re: Thread for your unsure discoveries<br /> |author = Louis-François Handfield<br /> |date = July 27, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> == External links ==<br /> * {{LinkLexicon|lex_p.htm#p256gun}}<br /> * {{LinkCallahan|patterns/bhept/bhept.html|patternname=Buckingham on B-heptominos in oscillators}}<br /> * {{LinkCatagolue|guntrue_256|format=linear growth|style=nobullet}}<br /> <br /> {{Symmetry|osc=turn90}}<br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=C/6_diagonal&diff=128728 2023-04-11T05:56:34Z

<p>Bullet51: </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 discovers] 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>

Bullet51 https://conwaylife.com/w/index.php?title=64P2H1V0&diff=119694 2022-12-04T03:53:51Z

<p>Bullet51: </p> <hr /> <div>{{Spaceship<br /> |name = 64P2H1V0<br /> |pname = 64p2h1v0<br /> |c = 64<br /> |bx = 31<br /> |by = 8<br /> |dir = Orthogonal<br /> |p = 2<br /> |m = 2<br /> |s = c/2<br /> |z = c/2<br /> |h = 62<br /> |discoverer = Dean Hickerson<br /> |discoveryear = 1989<br /> |rulemin = B3/S23<br /> |rulemax = B378/S2368<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3-cky/S23-cy<br /> |isorulemax = B2n34ejqz5aceky6-k78/S234ceikqwy5-acik67c8<br /> |plaintext = true<br /> |rle = true<br /> |animated = true<br /> |viewerconfig = #C [[ TRACKLOOP 2 0 -1/2 THUMBSIZE 2 GPS 4 ]]<br /> |apgcode = xq2_32mmgozg0igke72z1n2q1z0qgm1z31i2bsogzggqq261z1<br /> |pentadecathlonid = 64P2H1V0.1<br /> }}<br /> '''64P2H1V0''' is an unnamed [[c/2 orthogonal]] [[spaceship]] discovered, along with several other [https://conwaylife.com/wiki/Category:Spaceships_with_period_2 period-2] spaceships, by [[Dean Hickerson]] on July 28, {{year|1989}}. Although Hickerson does not remember which specific spaceship was discovered first, this was among the earliest.&lt;ref&gt;{{citation|author=[[David Bell]]|date=August 18, 1992|title=[[Spaceships in Conway's Life]] (Part 2)}}&lt;/ref&gt; In terms of its {{cells|64}} [[cell]]s, it is the smallest period 2 spaceship,&lt;ref&gt;{{cite_web|url=http://pentadecathlon.com/objects/spaceships/small/smallest.php|title=Smallest Spaceships|work=LifeInfo|accessdate=June 18, 2009}}&lt;/ref&gt; although there are several higher-period c/2 spaceships that are smaller.<br /> <br /> ==See also==<br /> * [[Barge 2 (spaceship)]]<br /> <br /> ==References==<br /> &lt;references/&gt;<br /> <br /> ==External links==<br /> * [http://members.canb.auug.org.au/~dbell/ The home page of David Ingalls Bell] including his article, ''Spaceships in Conway's Life (Part 2)''<br /> {{LinkCatagolue|xq2_32mmgozg0igke72z1n2q1z0qgm1z31i2bsogzggqq261z1}}<br /> {{LinkPentadecathlonObject|64P2H1V0.1}}<br /> <br /> {{Symmetry|orthogonal2}}<br /> <br /> [[Category:Unnamed periodic objects]]</div>

Bullet51 https://conwaylife.com/w/index.php?title=C/6_orthogonal&diff=117248 2022-11-01T09:30:23Z

<p>Bullet51: /* Puffers */</p> <hr /> <div>{{Speed<br /> |image = 56p6h1v0<br /> |speed = c/6 orthogonal<br /> |ss = yes<br /> |puff = yes<br /> |rake = yes<br /> |gun = yes<br /> }}<br /> '''c/6 orthogonal''' is an orthogonal [[speed]] that is equivalent to one sixth of the speed of light.<br /> <br /> ==Spaceships==<br /> The first c/6 orthogonal [[spaceship]] to be found was the [[dragon]], discovered in April {{year|2000}} by [[Paul Tooke]] using [[David Eppstein]]'s spaceship search program, [[gfind]]. Two dragons can pull a [[toad]] in a manner similar to a [[toad sucker]], and this was the only known way to create c/6 orthogonal spaceships until March {{year|2006}} when Paul Tooke discovered [[274P6H1V0]]. In October {{year|2008}} Paul Tooke found [[114P6H1V0]], based on a [[pushalong]] component discovered by [[Hartmut Holzwart]].&lt;ref&gt;{{LinkGoLNews|2009/03/new_c6_extensible_spaceship.html|title=New c/6 Extensible Spaceship|author=Dave Greene|date=March 8, 2009}}&lt;/ref&gt; This component provides a forward [[polyomino#domino|domino]] [[spark]] that can be used to support the component itself, resulting in an extensible spaceship. In May {{year|2009}} Hartmut Holzwart found another pushalong component for this spaceship, as well as a much smaller c/6 orthogonal spaceship, [[56P6H1V0]].&lt;ref&gt;{{LinkGoLNews|2009/05/new_c6_spaceships.html|title=New c/6 Spaceships|author=Heinrich Koenig|date=May 31, 2009}}&lt;/ref&gt; Many c/6 spaceships have since been found by [[Tim Coe]], [[Josh Ball]], [[Matthias Merzenich]], [[Dongook Lee]], and [[Tanner Jacobi]].<br /> <br /> Matthias Merzenich found [[period]]-12 and period-18 spaceships on July 27, {{year|2017}}.&lt;ref name=&quot;post47331&quot; /&gt; These were the first c/6 orthogonal spaceships to be found with periods other than 6.<br /> <br /> {|class=&quot;wikitable&quot;<br /> |&lt;center&gt;[[Image:dragon.png]]&lt;br/&gt;[[Dragon]], the first c/6&lt;br/&gt;orthogonal spaceship&lt;/center&gt;<br /> |}<br /> <br /> ==Guns==<br /> In March {{year|2020}}, a [[glider synthesis]] for 56P6H1V0 was completed.&lt;ref name=&quot;post91947&quot; /&gt;&lt;ref name=&quot;post92323&quot; /&gt; In December {{year|2020}}, a [[gun]] based on this synthesis was constructed by [[Goldtiger997]] and [[wwei23]].&lt;ref name=&quot;post114939&quot; /&gt;<br /> <br /> ==Puffers==<br /> [[Nico Brown]] constructed the first c/6 orthogonal [[puffer]] on July 26, 2017 using a spaceship found by Matthias Merzenich.&lt;ref name=&quot;post47306&quot; /&gt; The first clean c/6 orthogonal [[rake]] was found by [[May13]] and reduced by [[iNoMed]] in November {{year|2021}}&lt;ref name=&quot;post137751&quot; /&gt; and [[AlbertArmStain]] in August {{year|2022}}&lt;ref name=&quot;post148972&quot; /&gt;.<br /> <br /> ==See also==<br /> *[[c/6 diagonal]]<br /> *[[(2,1)c/6]]<br /> *[[:Category:speeds|List of important speeds]]<br /> *[[:Category:Spaceships with speed c/6|List of spaceships with speed c/6]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post47306&quot;&gt;{{LinkForumThread<br /> |p = 47306<br /> |title = Re: Spaceship Discussion Thread<br /> |format = ref<br /> |author = Nico Brown<br /> |date = July 26, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post91947&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 91947<br /> |author = Goldtiger997<br /> |date = March 22, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post92323&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 92323<br /> |author = Martin Grant<br /> |date = March 25, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post47331&quot;&gt;{{LinkForumThread<br /> |p = 47331<br /> |title = Re: Spaceship Discussion Thread<br /> |format = ref<br /> |author = Matthias Merzenich<br /> |date = July 27, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post137751&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 137751<br /> |author = May13<br /> |date = November 16, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post114939&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 114939<br /> |author = Goldtiger997<br /> |date = December 8, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post148972&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 148972<br /> |author = AlbertArmStain<br /> |date = August 1, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_c.htm#c6spaceship|name=c/6 spaceship}}<br /> <br /> {{DISPLAYTITLE:c/6 orthogonal}}<br /> <br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=C/6_orthogonal&diff=117247 2022-11-01T09:29:45Z

<p>Bullet51: /* References */</p> <hr /> <div>{{Speed<br /> |image = 56p6h1v0<br /> |speed = c/6 orthogonal<br /> |ss = yes<br /> |puff = yes<br /> |rake = yes<br /> |gun = yes<br /> }}<br /> '''c/6 orthogonal''' is an orthogonal [[speed]] that is equivalent to one sixth of the speed of light.<br /> <br /> ==Spaceships==<br /> The first c/6 orthogonal [[spaceship]] to be found was the [[dragon]], discovered in April {{year|2000}} by [[Paul Tooke]] using [[David Eppstein]]'s spaceship search program, [[gfind]]. Two dragons can pull a [[toad]] in a manner similar to a [[toad sucker]], and this was the only known way to create c/6 orthogonal spaceships until March {{year|2006}} when Paul Tooke discovered [[274P6H1V0]]. In October {{year|2008}} Paul Tooke found [[114P6H1V0]], based on a [[pushalong]] component discovered by [[Hartmut Holzwart]].&lt;ref&gt;{{LinkGoLNews|2009/03/new_c6_extensible_spaceship.html|title=New c/6 Extensible Spaceship|author=Dave Greene|date=March 8, 2009}}&lt;/ref&gt; This component provides a forward [[polyomino#domino|domino]] [[spark]] that can be used to support the component itself, resulting in an extensible spaceship. In May {{year|2009}} Hartmut Holzwart found another pushalong component for this spaceship, as well as a much smaller c/6 orthogonal spaceship, [[56P6H1V0]].&lt;ref&gt;{{LinkGoLNews|2009/05/new_c6_spaceships.html|title=New c/6 Spaceships|author=Heinrich Koenig|date=May 31, 2009}}&lt;/ref&gt; Many c/6 spaceships have since been found by [[Tim Coe]], [[Josh Ball]], [[Matthias Merzenich]], [[Dongook Lee]], and [[Tanner Jacobi]].<br /> <br /> Matthias Merzenich found [[period]]-12 and period-18 spaceships on July 27, {{year|2017}}.&lt;ref name=&quot;post47331&quot; /&gt; These were the first c/6 orthogonal spaceships to be found with periods other than 6.<br /> <br /> {|class=&quot;wikitable&quot;<br /> |&lt;center&gt;[[Image:dragon.png]]&lt;br/&gt;[[Dragon]], the first c/6&lt;br/&gt;orthogonal spaceship&lt;/center&gt;<br /> |}<br /> <br /> ==Guns==<br /> In March {{year|2020}}, a [[glider synthesis]] for 56P6H1V0 was completed.&lt;ref name=&quot;post91947&quot; /&gt;&lt;ref name=&quot;post92323&quot; /&gt; In December {{year|2020}}, a [[gun]] based on this synthesis was constructed by [[Goldtiger997]] and [[wwei23]].&lt;ref name=&quot;post114939&quot; /&gt;<br /> <br /> ==Puffers==<br /> [[Nico Brown]] constructed the first c/6 orthogonal [[puffer]] on July 26, 2017 using a spaceship found by Matthias Merzenich.&lt;ref name=&quot;post47306&quot; /&gt; The first clean c/6 orthogonal [[rake]] was found by [[May13]] and reduced by [[iNoMed]] in November {{year|2021}}&lt;ref name=&quot;post137751&quot; /&gt; and [[AlbertArmStain]] in August {{year|2022}}.<br /> <br /> ==See also==<br /> *[[c/6 diagonal]]<br /> *[[(2,1)c/6]]<br /> *[[:Category:speeds|List of important speeds]]<br /> *[[:Category:Spaceships with speed c/6|List of spaceships with speed c/6]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post47306&quot;&gt;{{LinkForumThread<br /> |p = 47306<br /> |title = Re: Spaceship Discussion Thread<br /> |format = ref<br /> |author = Nico Brown<br /> |date = July 26, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post91947&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 91947<br /> |author = Goldtiger997<br /> |date = March 22, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post92323&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 92323<br /> |author = Martin Grant<br /> |date = March 25, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post47331&quot;&gt;{{LinkForumThread<br /> |p = 47331<br /> |title = Re: Spaceship Discussion Thread<br /> |format = ref<br /> |author = Matthias Merzenich<br /> |date = July 27, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post137751&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 137751<br /> |author = May13<br /> |date = November 16, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post114939&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 114939<br /> |author = Goldtiger997<br /> |date = December 8, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post148972&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 148972<br /> |author = AlbertArmStain<br /> |date = August 1, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_c.htm#c6spaceship|name=c/6 spaceship}}<br /> <br /> {{DISPLAYTITLE:c/6 orthogonal}}<br /> <br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=C/6_orthogonal&diff=117246 2022-11-01T09:29:03Z

<p>Bullet51: /* Puffers */</p> <hr /> <div>{{Speed<br /> |image = 56p6h1v0<br /> |speed = c/6 orthogonal<br /> |ss = yes<br /> |puff = yes<br /> |rake = yes<br /> |gun = yes<br /> }}<br /> '''c/6 orthogonal''' is an orthogonal [[speed]] that is equivalent to one sixth of the speed of light.<br /> <br /> ==Spaceships==<br /> The first c/6 orthogonal [[spaceship]] to be found was the [[dragon]], discovered in April {{year|2000}} by [[Paul Tooke]] using [[David Eppstein]]'s spaceship search program, [[gfind]]. Two dragons can pull a [[toad]] in a manner similar to a [[toad sucker]], and this was the only known way to create c/6 orthogonal spaceships until March {{year|2006}} when Paul Tooke discovered [[274P6H1V0]]. In October {{year|2008}} Paul Tooke found [[114P6H1V0]], based on a [[pushalong]] component discovered by [[Hartmut Holzwart]].&lt;ref&gt;{{LinkGoLNews|2009/03/new_c6_extensible_spaceship.html|title=New c/6 Extensible Spaceship|author=Dave Greene|date=March 8, 2009}}&lt;/ref&gt; This component provides a forward [[polyomino#domino|domino]] [[spark]] that can be used to support the component itself, resulting in an extensible spaceship. In May {{year|2009}} Hartmut Holzwart found another pushalong component for this spaceship, as well as a much smaller c/6 orthogonal spaceship, [[56P6H1V0]].&lt;ref&gt;{{LinkGoLNews|2009/05/new_c6_spaceships.html|title=New c/6 Spaceships|author=Heinrich Koenig|date=May 31, 2009}}&lt;/ref&gt; Many c/6 spaceships have since been found by [[Tim Coe]], [[Josh Ball]], [[Matthias Merzenich]], [[Dongook Lee]], and [[Tanner Jacobi]].<br /> <br /> Matthias Merzenich found [[period]]-12 and period-18 spaceships on July 27, {{year|2017}}.&lt;ref name=&quot;post47331&quot; /&gt; These were the first c/6 orthogonal spaceships to be found with periods other than 6.<br /> <br /> {|class=&quot;wikitable&quot;<br /> |&lt;center&gt;[[Image:dragon.png]]&lt;br/&gt;[[Dragon]], the first c/6&lt;br/&gt;orthogonal spaceship&lt;/center&gt;<br /> |}<br /> <br /> ==Guns==<br /> In March {{year|2020}}, a [[glider synthesis]] for 56P6H1V0 was completed.&lt;ref name=&quot;post91947&quot; /&gt;&lt;ref name=&quot;post92323&quot; /&gt; In December {{year|2020}}, a [[gun]] based on this synthesis was constructed by [[Goldtiger997]] and [[wwei23]].&lt;ref name=&quot;post114939&quot; /&gt;<br /> <br /> ==Puffers==<br /> [[Nico Brown]] constructed the first c/6 orthogonal [[puffer]] on July 26, 2017 using a spaceship found by Matthias Merzenich.&lt;ref name=&quot;post47306&quot; /&gt; The first clean c/6 orthogonal [[rake]] was found by [[May13]] and reduced by [[iNoMed]] in November {{year|2021}}&lt;ref name=&quot;post137751&quot; /&gt; and [[AlbertArmStain]] in August {{year|2022}}.<br /> <br /> ==See also==<br /> *[[c/6 diagonal]]<br /> *[[(2,1)c/6]]<br /> *[[:Category:speeds|List of important speeds]]<br /> *[[:Category:Spaceships with speed c/6|List of spaceships with speed c/6]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post47306&quot;&gt;{{LinkForumThread<br /> |p = 47306<br /> |title = Re: Spaceship Discussion Thread<br /> |format = ref<br /> |author = Nico Brown<br /> |date = July 26, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post91947&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 91947<br /> |author = Goldtiger997<br /> |date = March 22, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post92323&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 92323<br /> |author = Martin Grant<br /> |date = March 25, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post47331&quot;&gt;{{LinkForumThread<br /> |p = 47331<br /> |title = Re: Spaceship Discussion Thread<br /> |format = ref<br /> |author = Matthias Merzenich<br /> |date = July 27, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post137751&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 137751<br /> |author = May13<br /> |date = November 16, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post114939&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 114939<br /> |author = Goldtiger997<br /> |date = December 8, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_c.htm#c6spaceship|name=c/6 spaceship}}<br /> <br /> {{DISPLAYTITLE:c/6 orthogonal}}<br /> <br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=C/6_orthogonal&diff=117245 2022-11-01T09:28:54Z

<p>Bullet51: /* Puffers */</p> <hr /> <div>{{Speed<br /> |image = 56p6h1v0<br /> |speed = c/6 orthogonal<br /> |ss = yes<br /> |puff = yes<br /> |rake = yes<br /> |gun = yes<br /> }}<br /> '''c/6 orthogonal''' is an orthogonal [[speed]] that is equivalent to one sixth of the speed of light.<br /> <br /> ==Spaceships==<br /> The first c/6 orthogonal [[spaceship]] to be found was the [[dragon]], discovered in April {{year|2000}} by [[Paul Tooke]] using [[David Eppstein]]'s spaceship search program, [[gfind]]. Two dragons can pull a [[toad]] in a manner similar to a [[toad sucker]], and this was the only known way to create c/6 orthogonal spaceships until March {{year|2006}} when Paul Tooke discovered [[274P6H1V0]]. In October {{year|2008}} Paul Tooke found [[114P6H1V0]], based on a [[pushalong]] component discovered by [[Hartmut Holzwart]].&lt;ref&gt;{{LinkGoLNews|2009/03/new_c6_extensible_spaceship.html|title=New c/6 Extensible Spaceship|author=Dave Greene|date=March 8, 2009}}&lt;/ref&gt; This component provides a forward [[polyomino#domino|domino]] [[spark]] that can be used to support the component itself, resulting in an extensible spaceship. In May {{year|2009}} Hartmut Holzwart found another pushalong component for this spaceship, as well as a much smaller c/6 orthogonal spaceship, [[56P6H1V0]].&lt;ref&gt;{{LinkGoLNews|2009/05/new_c6_spaceships.html|title=New c/6 Spaceships|author=Heinrich Koenig|date=May 31, 2009}}&lt;/ref&gt; Many c/6 spaceships have since been found by [[Tim Coe]], [[Josh Ball]], [[Matthias Merzenich]], [[Dongook Lee]], and [[Tanner Jacobi]].<br /> <br /> Matthias Merzenich found [[period]]-12 and period-18 spaceships on July 27, {{year|2017}}.&lt;ref name=&quot;post47331&quot; /&gt; These were the first c/6 orthogonal spaceships to be found with periods other than 6.<br /> <br /> {|class=&quot;wikitable&quot;<br /> |&lt;center&gt;[[Image:dragon.png]]&lt;br/&gt;[[Dragon]], the first c/6&lt;br/&gt;orthogonal spaceship&lt;/center&gt;<br /> |}<br /> <br /> ==Guns==<br /> In March {{year|2020}}, a [[glider synthesis]] for 56P6H1V0 was completed.&lt;ref name=&quot;post91947&quot; /&gt;&lt;ref name=&quot;post92323&quot; /&gt; In December {{year|2020}}, a [[gun]] based on this synthesis was constructed by [[Goldtiger997]] and [[wwei23]].&lt;ref name=&quot;post114939&quot; /&gt;<br /> <br /> ==Puffers==<br /> [[Nico Brown]] constructed the first c/6 orthogonal [[puffer]] on July 26, 2017 using a spaceship found by Matthias Merzenich.&lt;ref name=&quot;post47306&quot; /&gt; The first clean c/6 orthogonal [[rake]] was found by [[May13]] and reduced by [[iNoMed]] in November {{year|2021}}.&lt;ref name=&quot;post137751&quot; /&gt; and [[AlbertArmStain]] in August {{year|2022}}.<br /> <br /> ==See also==<br /> *[[c/6 diagonal]]<br /> *[[(2,1)c/6]]<br /> *[[:Category:speeds|List of important speeds]]<br /> *[[:Category:Spaceships with speed c/6|List of spaceships with speed c/6]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post47306&quot;&gt;{{LinkForumThread<br /> |p = 47306<br /> |title = Re: Spaceship Discussion Thread<br /> |format = ref<br /> |author = Nico Brown<br /> |date = July 26, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post91947&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 91947<br /> |author = Goldtiger997<br /> |date = March 22, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post92323&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Small Spaceship Syntheses<br /> |p = 92323<br /> |author = Martin Grant<br /> |date = March 25, 2020<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post47331&quot;&gt;{{LinkForumThread<br /> |p = 47331<br /> |title = Re: Spaceship Discussion Thread<br /> |format = ref<br /> |author = Matthias Merzenich<br /> |date = July 27, 2017<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post137751&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Spaceship Discussion Thread<br /> |p = 137751<br /> |author = May13<br /> |date = November 16, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post114939&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 114939<br /> |author = Goldtiger997<br /> |date = December 8, 2020<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_c.htm#c6spaceship|name=c/6 spaceship}}<br /> <br /> {{DISPLAYTITLE:c/6 orthogonal}}<br /> <br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=RLE:Sealtagalong0&diff=112749 2022-08-04T14:21:14Z

<p>Bullet51: The original seal tagalong found by Nicolay Beluchenko.</p> <hr /> <div>#N sealtagalong0.rle<br /> #C https://conwaylife.com/wiki/Seal<br /> #C https://www.conwaylife.com/patterns/sealtagalong0.rle<br /> x = 55, y = 55, rule = B3/S23<br /> 2b2o$b3ob3o$3bo3b2o$2ob2o2bo2bobo$o6bob4o$6b2obo2bo$o4b2o3bob2o$2o8bob<br /> o2bo$o2b5ob3o4bo$bo9bo4bo$b2obo2bo3bo3bo$2bo9b2o$9b2o2b2o4bo$2bo3b2obo<br /> 4b3o2bo$3b2obob5o5bob2o$7b2ob2ob2ob2o2b3o$17bobo4bo$8b2o4bobo3b6o$13bo<br /> 7b2o$13bo3bo$13bo4bo3b3o6bo$14b5o3b2ob2o2b2ob2o$17b2obo2bob2o2bo$16b2o<br /> 5bo4bo2b3o$15b3obobobobo$22bo2bo$18bobo9bo3bo$19bo8b6obo$26b2o3b4obo$<br /> 21b3o5bo4bo3bo$21b3o2b3o6bo3bo$26bo9b2ob2o$20b2o13b2o2bo2b2o$20b2o3bo<br /> 8bobo4bo2bo$21bo3bobo5bo$26b3o4bobo5bob2o$28b3o2b2o9bo$32b2o5bobo2b2o$<br /> 29b2obo4b2obobob2o$30bob2o3bob2o4bo$37bobo$37b2obo2b2o$31bo3bo3b3o3bo$<br /> 31b2o2bo2bo4bo2bo$35b2o5bo5b3o$37bo4b5obo$38bo2b2o2bo5bo$49bob2o$44bo<br /> 4bo$44bo5b2ob2o$43bo2b2o$44b3o$46bob2o$48bo$47bo!</div>

Bullet51 https://conwaylife.com/w/index.php?title=LifeWiki:Spaceship_Search_Status_Page&diff=107762 2022-05-24T09:51:15Z

<p>Bullet51: /* Known spaceships by width */</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 /> This table assumes horizontal symmetry and does not account for diagonal symmetry for diagonal spaceships.<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; | [[409P6H1V0|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; | [[600P6H1V0|19]]<br /> | style=&quot;background: #80ff80;&quot; | [[Dragon|18]]<br /> | style=&quot;background: #80ff80;&quot; | [[274P6H1V0|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&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>

Bullet51 https://conwaylife.com/w/index.php?title=LifeWiki:Spaceship_Search_Status_Page&diff=107761 2022-05-24T09:50:26Z

<p>Bullet51: /* Known spaceships by width */</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 /> This table assumes horizontal symmetry and does not account for diagonal symmetry for diagonal spaceships.<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; | [[600P6H1V0|19]]<br /> | style=&quot;background: #80ff80;&quot; | [[Dragon|18]]<br /> | style=&quot;background: #80ff80;&quot; | [[274P6H1V0|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&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>

Bullet51 https://conwaylife.com/w/index.php?title=LifeWiki:Spaceship_Search_Status_Page&diff=107760 2022-05-24T09:48:33Z

<p>Bullet51: /* Known spaceships by width */</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 /> This table assumes horizontal symmetry and does not account for diagonal symmetry for diagonal spaceships.<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; | [[274P6H1V0|21]]<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> |-<br /> | (1,1)c/6<br /> | style=&quot;background: #ffa0a0;&quot; | 10<br /> | style=&quot;background: #c0c0c0;&quot; | -<br /> | style=&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>

Bullet51 https://conwaylife.com/w/index.php?title=Infinite_growth&diff=107215 2022-05-11T17:27:02Z

<p>Bullet51: /* Quadratic growth */</p> <hr /> <div>A finite [[pattern]] is said to exhibit '''infinite growth''' if it is such that its population is unbounded. That is, for any number N there exists a generation n such that the population in [[generation]] n is greater than N. The first known pattern to exhibit infinite growth was the [[Gosper glider gun]].<br /> <br /> Apparent infinite growth may occur in many cellular automata, and rules in which such patterns are commonplace are known as [[class three cellular automata]]. However, in many cases there is no known ''proof'' that any such pattern in fact will continue to grow indefinitely (and is not simply a particularly vigorous [[methuselah]]). Most patterns known to be infinite growth patterns, therefore, follow some type of orderly periodic growth.<br /> <br /> ==Growth geometry==<br /> Infinite-growth patterns can be classified by their growth rate. In any cellular automaton, the maximum rate of growth is determined by the geometry of the space. In cellular automata set in 2D Euclidean space such as Life, the maximum growth rate is quadratic; cubic, quartic, quintic etc. growth require spaces of higher dimensionality.<br /> <br /> For linear and quadratic growth patterns, '''S''' means stationary and '''M''' mobile.<br /> === Linear ===<br /> '''Linear growth''' is a growth rate proportional to ''T'', where ''T'' is the number of [[tick]]s that a [[pattern]] has been run. Linear growth is common for [[:Category:Growing_spaceships|Growing spaceships]], [[:Category:Guns|Guns]], [[Puffers]], [[Rakes]] and [[:Category:Wickstretchers|Wickstretchers]].<br /> <br /> Four types of linear growth patterns can occur in cellular automata that operate by a basic [[engine]] that repeatedly creates new objects. In simple cases this leads to linear growth of the pattern's population:<br /> <br /> * Type SS, a rare type of growth with both a stationary engine and output. One example of this is [[bricklayer]].<br /> * Type SM, a.k.a. [[gun]]: a pattern that has a stationary engine and moving output. For example, see [[Simkin glider gun]].<br /> * Type MS, a.k.a. [[puffer]]: a pattern that has a moving engine and stationary output. See [[puffer 2]] for an example.<br /> **Puffers whose output is a single, connected, growing object, and not isolated [[ash]], are known as [[wickstretcher]]s.<br /> * Type MM, a.k.a. [[rake]]: a pattern that has a moving engine and moving output. [[Space rake]] is one such pattern.<br /> <br /> A fifth type are linear [[replicator]]s, which in their basic form cannot be separated into an engine and an output. Most known natural replicators have [[rule 90]] type growth, and are thus [[sawtooth]]s in their population growth rate.<br /> === Quadratic ===<br /> {{main|Breeder}}<br /> Quadratic growth can be split into these sections:<br /> <br /> * '''SSS''' breeder - A stable object, usually a [[slide gun]], creates copies of an SS infinite growth (e.g. a slide gun that shoots out a [[blockstacker]]-like mechanism).<br /> * '''SSM''' breeder - A stable object that generates guns.<br /> * '''SMS''' breeder - A stable object that generates puffers.<br /> * SMM breeder - A stationary object that produces [[rakes]]. This is more commonly referred to as a rake gun.<br /> * '''MSS''' breeder - A moving object that generates SS infinite growth.<br /> * MMS breeder - A moving object generates [[puffer]]s periodically. Examples include [[Riley's breeder]], [[metacatacryst]], [[Jaws]] and [[pufferfish|pufferfish breeder]].<br /> * MSM breeder - A puffer that produces [[gun]]s. [[Breeder 1|Gosper's original breeder]] was a MSM breeder; so was Lucas Brown's LWSS breeder.<br /> * MMM breeder - A moving pattern that produces rakes periodically (i.e. a rake puffer).<br /> <br /> The ones in '''bold''' require the use of slide guns, so are not very frequently constructed. The remaining four types are general types of breeders. However, breeders that can be classed as SSS and SMS have also been constructed.&lt;ref&gt;{{Cite web|url=http://pentadecathlon.com/lifeNews/2011/03/these_are_not_just_breeders.html|title=These are not just breeders|work=Game of Life News|author=Adam Goucher|date=March 9, 2011|accessdate=August 25, 2016}}&lt;/ref&gt;<br /> <br /> Similarly to wickstretchers, the [[spacefiller]] is an infinite growth pattern that can be said to be MMS. This does not create puffers in the classical sense, but instead stretches an infinite line of wickstretchers.<br /> <br /> ==Small infinite growth patterns==<br /> [[Image:10cellinfinitegrowth.png|framed|right|10-cell infinite growth&lt;br /&gt;{{JavaRLE|10cellinfinitegrowth|brief}}]]<br /> A natural question to ask is what the smallest starting size of an infinite growth pattern can be (either in terms of number of [[cell]]s, [[bounding box]] or [[glider synthesis]]). In {{year|1971}}, [[Charles Corderman]] found that a [[switch engine]] could be stabilized by a [[pre-block]] in a number of different ways to produce either a [[block-laying switch engine]] or a [[glider-producing switch engine]], giving several 11-cell patterns with infinite growth. This record stood for more than quarter of a century until [[Paul Callahan]] found, in November {{year|1997}}, two 10-cell patterns with infinite growth. The following month he found the one shown to the right, which is much neater, being a single [[cluster]]. It produces a block-laying switch engine. Today 24 different infinite growth patterns with 10 cells are known (most of them found by [[Michael Simkin]] in 2014&lt;ref name=&quot;post14021&quot; /&gt;&lt;ref name=&quot;post14133&quot; /&gt;). [[Nick Gotts]] and Paul Callahan have shown that there is no infinite growth pattern with fewer than 10 cells, so that the question of the smallest infinite growth pattern in terms of number of cells has been answered completely.<br /> <br /> On October 24, {{year|2014}}, [[Michael Simkin]] disovered a [[three-glider collision]] for a pattern whose ash includes a [[glider-producing switch engine]].&lt;ref name=&quot;post13988&quot; /&gt;<br /> <br /> Also of interest are some infinite growth patterns with particularly small bounding boxes. The following pattern is the smallest [[one-cell-thick pattern]] that exhibits infinite growth, found via computer search in October {{year|1998}} by Callahan:<br /> <br /> [[Image:Unidimensional_infinite.png|framed|center|Paul Callahan's one cell thick infinite growth pattern&lt;br /&gt;{{JavaRLE|unidimensionalinfinitegrowth}}]]<br /> <br /> Indeed, this pattern produces two [[block-laying switch engine]]s at about [[generation]] 700. The following pattern (also found by Callahan) is the only pattern with infinite growth that fits inside a 5×5 bounding box. It too emits a block-laying switch engine.<br /> <br /> [[Image:5x5_infinite.png|framed|center|Paul Callahan's 5×5 infinite growth pattern&lt;br /&gt;{{JavaRLE|5x5infinitegrowth|brief}}]]<br /> <br /> Paul Callahan's pattern shows that infinite growth patterns exist in bounding boxes with area 25, but whether or not infinite growth patterns could exist in smaller boxes was not known until {{year|2009}}, when exhaustive computer searches were conducted to show that there is an infinite growth pattern with bounding box 2×12 (area 24), and that this area is minimal.&lt;ref&gt;{{cite web|url=http://infinitegrowth.wordpress.com/2009/06/05/n-cell-thick-patterns-1/|title=n-Cell Thick Patterns|work=Infinite Growth|accessdate=June 12, 2009|date=June 5, 2009}}&lt;/ref&gt;&lt;ref name=&quot;post244&quot; /&gt; This pattern is shown below.<br /> <br /> [[Image:2x12_infinite.png|framed|center|The minimally sized 2&amp;times;12 infinite growth pattern&lt;br /&gt;{{JavaRLE|2x12infinitegrowth|brief}}]]<br /> <br /> ==Growth rates==<br /> Although the simplest infinite growth patterns grow at a rate that is (asymptotically) linear, many other growth rates are possible. The following table summarizes asymptotic growth rates that have been explicitly constructed in [[Conway's Game of Life|Life]]:<br /> <br /> {| class=&quot;wikitable&quot; style=&quot;margin-left:auto;margin-right:auto;&quot; |<br /> |-<br /> ! Growth rate f(t)<br /> ! Examples<br /> |-<br /> | t&lt;sup&gt;2&lt;/sup&gt; (quadratic)<br /> | [[breeder 1]], [[max]], [[mosquito 5]], [[metacatacryst]]<br /> |-<br /> | t&lt;sup&gt;3/2&lt;/sup&gt;<br /> | [https://conwaylife.com/forums/viewtopic.php?f=2&amp;t=1145 ?]<br /> |-<br /> | tlog(t)&lt;sup&gt;2&lt;/sup&gt;<br /> | ?<br /> |-<br /> | tlog(t)<br /> | [[tlog(t) growth]], [[Gotts dots]]<br /> |-<br /> | tlog(log(t))<br /> | [[tlog(log(t)) growth]]<br /> |-<br /> | tlog*&lt;sup&gt;(n)&lt;/sup&gt;(t)<br /> | [[Sawmill]]<br /> |-<br /> | t (linear)<br /> | [[block-laying switch engine]], [[Gosper glider gun]], [[space rake]], [[puffer 2]]<br /> |-<br /> | sqrt(t)<br /> | [[sqrtgun]]<br /> |-<br /> | t&lt;sup&gt;1/3&lt;/sup&gt;<br /> | ?<br /> |-<br /> | t^(2^(-n))<br /> | ?<br /> |-<br /> | log(t)&lt;sup&gt;2&lt;/sup&gt;<br /> | [[log(t)^2 growth]]<br /> |-<br /> | log(t) (logarithmic)<br /> | [[Caber tosser 1]]<br /> |-<br /> | log&lt;sup&gt;(n)&lt;/sup&gt;(t)<br /> | ?<br /> |-<br /> | log*&lt;sup&gt;(n)&lt;/sup&gt;(t)<br /> | [[Sawmill]]<br /> |}<br /> <br /> It is not difficult to see that quadratic growth is the fastest possible growth rate, and many patterns that grow at such speed are now known. There are patterns that exhibit infinite growth but whose population does not tend toward infinity – see [[sawtooth]]. By combining a sawtooth with a pattern that grows infinitely at a different rate, it is possible to construct patterns that grow (for example) logarithmically at some times and linearly at other times. There are even patterns, such as the [[Fermat prime calculator]], for which it is not known if they grow infinitely or not.<br /> <br /> ===Quadratic growth===<br /> The first quadratic growth pattern constructed was the [[breeder 1|original breeder]], found in {{year|1971}} by [[Bill Gosper]]. Since then, many other [[breeder]]s have been found, and even some [[spacefiller]]s have been constructed. It is unknown how small quadratic growth patterns can be, and a race has been taking place since the early 1990's to construct the smallest such pattern. The current record holder is [[20-cell quadratic growth]]. Previous record holders include [[catacryst]], [[metacatacryst]], [[mosquito]]es, [[26-cell quadratic growth|26-]], [[25-cell quadratic growth|25-]] and [[24-cell quadratic growth]], [[switch engine ping-pong]] (23), and [[22-cell quadratic growth]].<br /> <br /> On March 12, {{year|2022}}, [[dani]] found a pair of switch engines with perpendicular switch engines in its exhaust by searching random soups behind two pre-existing switch engines.&lt;ref name=&quot;post142708&quot; /&gt; The simplest form is two switch engines and two blocks. The minimum population is 29 cells (one 8-cell switch engine, 15 cells for three gliders to create a switch engine later in the sequence, and 6 cells for two pre-blocks). [[Luka Okanishi]] found a variant with a bounding box of 26×18,&lt;ref name=&quot;post142715&quot; /&gt; beating the previous record, a [[Max]] predecessor, and [[Rocknlol]] later found a variant with a bounding box of 23&amp;times;13.&lt;ref name=&quot;post143277&quot; /&gt; This means that quadratic growth could conceivably occur naturally, since many different pairs of two interacting switch engines have occurred from random soups.<br /> <br /> Later in the same day, dani assembled a variant of the pattern with only 23 cells, tying the previous 23-cell [[switch engine ping-pong]] record, and [[David Raucci]] was able to adjust that to create [[22-cell quadratic growth]], a new record for population. Both versions set new records (by a huge margin) for bounding-box size at those populations.<br /> <br /> On March 15, a new breeder was found which allowed for the construction of a [[21-cell quadratic growth]] pattern. On April 4, yet another breeder was found leading to a [[20-cell quadratic growth|20-cell pattern]], which is the current record holder in terms of population.<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post14021&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Making switch-engines<br /> |p = 14021<br /> |author = Michael Simkin<br /> |date = October 27, 2014<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post14133&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Making switch-engines<br /> |p = 14133<br /> |author = Michael Simkin<br /> |date = November 5, 2014<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post13988&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Making switch-engines<br /> |p = 13988<br /> |author = Michael Simkin<br /> |date = October 24, 2014<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post244&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = n-cell thick patterns &amp; infinite growth<br /> |p = 244<br /> |author = DivusIulius<br /> |date = June 5, 2009<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post142708&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Cordership Discussion Thread<br /> |p = 142708<br /> |author = dani<br /> |date = March 12, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post142715&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Cordership Discussion Thread<br /> |p = 142715<br /> |author = Luka Okanishi<br /> |date = March 12, 2022<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post143277&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Cordership Discussion Thread<br /> |p = 143277<br /> |author = Rocknlol<br /> |date = March 23, 2022<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_i.htm#infinitegrowth}}<br /> [[Category:Everything else]]</div>

Bullet51 https://conwaylife.com/w/index.php?title=Period-48_glider_gun&diff=107214 2022-05-11T17:26:31Z

<p>Bullet51: </p> <hr /> <div>{{Gun<br /> |name = Period-48 glider gun<br /> |pname = period48glidergun<br /> |c = 53<br /> |bx = 31<br /> |by = 16<br /> |p = 48<br /> |b = 1<br /> |discoverer = Tanner Jacobi<br /> |discoverer2 = goldenratio<br /> |discoverer3 = iNoMed<br /> |discoverer4 = praosylen<br /> |discoverer5 = James Pascua<br /> |discoveryear = 2022<br /> |rulemin = B3/S23<br /> |rulemax = B3/S238<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3/S23<br /> |isorulemax = B34c/S234c8<br /> |plaintext = true<br /> |rle = true<br /> |viewerconfig = #C [[ THUMBSIZE 2 GPS 12 WIDTH 520 HEIGHT 480 ZOOM 16 ]]<br /> }}<br /> A '''period-48 glider gun''' is any [[glider]] [[gun]] with a [[true]] [[period]] of 48. The original version, found by [[Tanner Jacobi]] in {{year|2016}}, was based on the [[period-24 glider gun]], using the [[Rob's p16]] [[oscillator]] as a [[filter]] to remove half of the gliders from the [[stream]].&lt;ref name=&quot;post32769&quot; /&gt; In January {{year|2019}} a slightly smaller period-48 glider gun was constructed -- 51&amp;times;35, 252 cells minimum -- based on the newly discovered period-24 [[dueling banjos]] oscillator.&lt;ref&gt;{{Cite web|url=https://conwaylife.com/w/index.php?title=RLE:Duelingbanjosp48glidergun&amp;action=history|title=Revision history of &lt;tt&gt;RLE:Duelingbanjosp48glidergun&lt;/tt&gt;|author=Dave Greene|date=January 16, 2019|accessdate=December 21, 2021}}&lt;/ref&gt; Both of these guns are shown in the gallery below.<br /> <br /> On December 21, {{year|2021}}, [[goldenratio]] constructed a brand-new p48 glider gun using a new mechanism.&lt;ref name=&quot;post139169&quot; /&gt; Reductions by [[iNoMed]]&lt;ref name=&quot;message922921631599456276&quot; /&gt;&lt;ref name=&quot;message922923585796972574&quot; /&gt;&lt;ref name=&quot;message922925814381682708&quot; /&gt; and [[praosylen]]&lt;ref name=&quot;post139175&quot; /&gt; brought it down to a bounding box of 35&amp;times;16 -- the third-smallest of any unique-period glider gun. On January 10, 2022, [[James Pascua]] found a reduction to 31&amp;times;16 using [[Rob's p16]],&lt;ref name=&quot;post140094&quot; /&gt; beating out [[Three quarters traffic light catalyst|the p46 gun]] for second place.&lt;ref&gt;{{CiteCatagolue|page=textcensus/b3s23/synthesis-costs/gun|title=&lt;tt&gt;synthesis-costs/gun&lt;/tt&gt;|accessdate=January 11, 2022}}&lt;/ref&gt; This version is shown in the infobox to the right.<br /> <br /> ==Gallery==<br /> {|<br /> |{{EmbedViewer<br /> |viewerconfig = #C [[ GPS 12 LOOP 48 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 WIDTH 600 HEIGHT 480 ]]<br /> |pname = originalp48glidergun<br /> |position = center<br /> |caption = Original period-48 gun&lt;br&gt;<br /> }}<br /> |{{EmbedViewer<br /> |viewerconfig = #C [[ GPS 12 LOOP 48 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 WIDTH 600 HEIGHT 480 ]]<br /> |pname = duelingbanjosp48glidergun<br /> |position = center<br /> |caption = Period 48 gun based on [[dueling banjos]], also using&lt;br/&gt; a Rich's p16 filter to double the period&lt;br/&gt;<br /> }}<br /> |-<br /> |{{EmbedViewer<br /> |viewerconfig = #C [[ GPS 12 LOOP 48 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 10 WIDTH 600 HEIGHT 480 ]]<br /> |pname = period48glidergun2021<br /> |position = center<br /> |caption = Period 48 gun found in December 2021&lt;br/&gt;<br /> }}<br /> |{{EmbedViewer<br /> |viewerconfig = #C [[ THUMBSIZE 2 ZOOM 10 WIDTH 600 HEIGHT 480 ]]<br /> |pname = p48glidergunwithboatbit<br /> |position = center<br /> |caption = [[SKOP]] 96: Period 48 glider gun with [[boat bit]]&lt;br/&gt;<br /> }}<br /> |}<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post32769&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Soup search results<br /> |p = 32769<br /> |author = Tanner Jacobi<br /> |date = July 5, 2016<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post139169&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 139169<br /> |author = goldenratio<br /> |date = December 21, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message922921631599456276&quot;&gt;{{CiteDiscord<br /> |author = iNoMed<br /> |date = December 21, 2021<br /> |channel = cgol<br /> |id = 922921631599456276<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message922923585796972574&quot;&gt;{{CiteDiscord<br /> |author = iNoMed<br /> |date = December 21, 2021<br /> |channel = cgol<br /> |id = 922923585796972574<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;message922925814381682708&quot;&gt;{{CiteDiscord<br /> |author = iNoMed<br /> |date = December 21, 2021<br /> |channel = cgol<br /> |id = 922925814381682708<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post139175&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 139175<br /> |author = praosylen<br /> |date = December 21, 2021<br /> }}&lt;/ref&gt;<br /> &lt;ref name=&quot;post140094&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Gun Discussion Thread<br /> |p = 140094<br /> |author = James Pascua<br /> |date = January 10, 2022<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkLexicon|lex_p.htm#p48gun}}<br /> <br /> [[Category:Patterns found in 2016]]<br /> [[Category:Patterns found in 2021]]</div>

Bullet51 https://conwaylife.com/w/index.php?title=28P7.3&diff=107213 2022-05-11T17:26:05Z

<p>Bullet51: </p> <hr /> <div>{{Oscillator<br /> |name = 28P7.3<br /> |pname = 28p7.3<br /> |c = 28<br /> |bx = 10<br /> |by = 13<br /> |p = 7<br /> |m = 7<br /> |h = 8<br /> |v = 0.55<br /> |sv = 0.55<br /> |discoveryear = 2017<br /> |discoverer = Bullet51<br /> |rulemin = B3/S23<br /> |rulemax = B378/S2378<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3-y/S2-n3-k<br /> |isorulemax = B34ceyz5ik6-kn78/S234ceitz5-inq6-a78<br /> |synthesis = 24<br /> |synthesisRLE = true<br /> |plaintext = true<br /> |rle = true<br /> |apgcode = xp7_5b8b94gszw652y06a8o<br /> |viewerconfig = #C [[ AUTOSTART GPS 7 THUMBSIZE 2 THEME 6 ]]<br /> }}<br /> '''28P7.3''' is an unnamed {{period|7}} [[oscillator]] discovered by &quot;Bullet51&quot; on December 26, {{year|2017}}.&lt;ref name=&quot;post54236&quot; /&gt; In terms of its 28 [[cell]]s, it is tied with oscillators [[burloaferimeter]], [[28P7.1]] and [[28P7.2]] as the smallest known period 7 oscillator. It contains an [[eater 1]] that can be replaced with another copy of this mechanism. Its [[boat]] can act as an [[eater 1]], and thus this oscillator is infinitely [[extensible]]. Because its boat acts as an [[eater 1]], it can eat [[glider]]s, [[LWSS]], [[MWSS]] and [[loafer]]s (with the help of an [[eater 1]]). It is used to turn the pi output from [[P21 B-heptomino hassler]] into a gun.<br /> <br /> ==Gallery== <br /> {|<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ AUTOSTART GPS 7 LOOP 7 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 480 ]]<br /> |pname = double28p7.3<br /> |caption = Two copies of 28P7.3 interacting with each other&lt;br/&gt;<br /> |position = center<br /> |apgcode = xp7_ra1u08kczw546zxg8g3p5gozx11w3426<br /> }}<br /> |}<br /> {|<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ AUTOSTART GPS 10 THUMBLAUNCH THUMBSIZE 2 THEME 6 ]]<br /> |pname = catereron28p7.3<br /> |caption = Caterer on 28P7.3, the former smallest known p21 oscillator by population&lt;br/&gt;<br /> |position = center<br /> |apgcode = xp21_5b8b94gszw6520gw6a8ozx332f7zy2121<br /> }}<br /> |}<br /> <br /> ==See also==<br /> <br /> * [[33P3.1]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post54236&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 54236<br /> |author = Bullet51<br /> |date = December 25, 2017<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkCatagolue|xp7_5b8b94gszw652y06a8o}}<br /> <br /> {{Sparker|p=7|type=dot|strength=strong}}<br /> [[Category:Unnamed periodic objects]]<br /> [[Category:Patterns discovered by pseudonymous users]]<br /> __NOTOC__</div>

Bullet51 https://conwaylife.com/w/index.php?title=28P7.3&diff=107212 2022-05-11T17:22:58Z

<p>Bullet51: /* Gallery */</p> <hr /> <div>{{Oscillator<br /> |name = 28P7.3<br /> |pname = 28p7.3<br /> |c = 28<br /> |bx = 10<br /> |by = 13<br /> |p = 7<br /> |m = 7<br /> |h = 8<br /> |v = 0.55<br /> |sv = 0.55<br /> |discoveryear = 2017<br /> |discoverer = Bullet51<br /> |rulemin = B3/S23<br /> |rulemax = B378/S2378<br /> |rulespecial = [[Conway's Game of Life|Conway Life]]<br /> |isorulemin = B3-y/S2-n3-k<br /> |isorulemax = B34ceyz5ik6-kn78/S234ceitz5-inq6-a78<br /> |synthesis = 24<br /> |synthesisRLE = true<br /> |plaintext = true<br /> |rle = true<br /> |apgcode = xp7_5b8b94gszw652y06a8o<br /> |viewerconfig = #C [[ AUTOSTART GPS 7 THUMBSIZE 2 THEME 6 ]]<br /> }}<br /> '''28P7.3''' is an unnamed {{period|7}} [[oscillator]] discovered by &quot;Bullet51&quot; on December 26, {{year|2017}}.&lt;ref name=&quot;post54236&quot; /&gt; In terms of its 28 [[cell]]s, it is tied with oscillators [[burloaferimeter]], [[28P7.1]] and [[28P7.2]] as the smallest known period 7 oscillator. It contains an [[eater 1]] that can be replaced with another copy of this mechanism. Its [[boat]] can act as an [[eater 1]], and thus this oscillator is infinitely [[extensible]]. Because its boat acts as an [[eater 1]], it can eat [[glider]]s, [[LWSS]], [[MWSS]] and [[loafer]]s (with the help of an [[eater 1]]). <br /> <br /> ==Gallery== <br /> {|<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ AUTOSTART GPS 7 LOOP 7 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 16 HEIGHT 480 ]]<br /> |pname = double28p7.3<br /> |caption = Two copies of 28P7.3 interacting with each other&lt;br/&gt;<br /> |position = center<br /> |apgcode = xp7_ra1u08kczw546zxg8g3p5gozx11w3426<br /> }}<br /> |}<br /> {|<br /> | {{EmbedViewer<br /> |viewerconfig = #C [[ AUTOSTART GPS 10 THUMBLAUNCH THUMBSIZE 2 THEME 6 ]]<br /> |pname = catereron28p7.3<br /> |caption = Caterer on 28P7.3, the former smallest known p21 oscillator by population&lt;br/&gt;<br /> |position = center<br /> |apgcode = xp21_5b8b94gszw6520gw6a8ozx332f7zy2121<br /> }}<br /> |}<br /> <br /> ==See also==<br /> <br /> * [[33P3.1]]<br /> <br /> ==References==<br /> &lt;references&gt;<br /> &lt;ref name=&quot;post54236&quot;&gt;{{LinkForumThread<br /> |format = ref<br /> |title = Re: Oscillator Discussion Thread<br /> |p = 54236<br /> |author = Bullet51<br /> |date = December 25, 2017<br /> }}&lt;/ref&gt;<br /> &lt;/references&gt;<br /> <br /> ==External links==<br /> {{LinkCatagolue|xp7_5b8b94gszw652y06a8o}}<br /> <br /> {{Sparker|p=7|type=dot|strength=strong}}<br /> [[Category:Unnamed periodic objects]]<br /> [[Category:Patterns discovered by pseudonymous users]]<br /> __NOTOC__</div>

Bullet51