Difference between revisions of "OCA:4diagonal"

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Interestingly, most traffic light predecessors from Life query B4c without any permanent evolutionary changes. Periods containing oscillators not in common with Life include 2, 3, 11, 12, 32, 38 and 90.<ref>{{LinkForumThread|f=11|t=3511|p=149022|format=ref|title=Re: Rules 1 transition from Life|author=Period1GliderGun|date=August 1, 2022}}</ref> Many were found in the much more thoroughly-apgsearched rule {{cata|census/b34cs234c|B34c/S234c}}, and found to be compatible with 4diagonal.
Interestingly, most traffic light predecessors from Life query B4c without any permanent evolutionary changes. Periods containing oscillators not in common with Life include 2, 3, 11, 12, 32, 38 and 90.<ref>{{LinkForumThread|f=11|t=3511|p=149022|format=ref|title=Re: Rules 1 transition from Life|author=Period1GliderGun|date=August 1, 2022}}</ref> Many were found in the much more thoroughly-apgsearched rule {{cata|census/b34cs234c|B34c/S234c}}, and found to be compatible with 4diagonal.
{{EmbedViewer
{{EmbedViewer
|rle          = x = 38, y = 102, rule = B34c/S23
|rle          = x = 706, y = 307, rule = B34c/S23
4bo$3bobo$b3ob3o$o7bo$b3ob3o$3bobo$4bo3$2ob2o$o3bo2$o3bo$2ob2o3$4bo$2b3o$2o3bo$bo3bo$bo3b2o$2b3o$2bo4$2bobobo$2b5o$2bobobo2$3bobo$b2o3b2o$4bo$b2o3b2o5$12b3o$b2o7b2o2bo7b2o$b2o7bo2b2o7b2o$10b3o6$16b2o$16b2o5$15b3o$15bobo$15bo2bo$16bobo$16b3o4$7b3o$b2o4bo2b2o8b2o$b2o4b2o2bo8bobo$9b3o9b2o2$16b2o9b3o$16bobo8bo2b2o4b2o$17b2o8b2o2bo4b2o$29b3o4$20b3o$20bobo$20bo2bo$21bobo$21b3o5$21b2o$21b2o7$10b2ob2o$9b2o3b2o$10b2ob2o$11b3o$2b3o7bo3$11bo7b3o$10b3o$9b2ob2o$8b2o3b2o$9b2ob2o!
646b2o$647bo$646bo12b2o$646b2o5bo5bo$649b2obobo5bo$644b5obobobo4b2o$643b
|viewerconfig = #C [[ THUMBSIZE 3 ZOOM 12 HEIGHT 1400 Y 5 AUTOSTART GPS 10 ]]
o8bobob2o$644b3ob2ob2obobob5o$646b2o6bo8bo27b3o$obobo5bo2bobobo8bo9bo
13bobobo37bobobo10b2o493bo14bo36b2ob2ob3o27bo3bo$10bo15b3o5b3o36bo3bo
23b2o3bobo95bo2bobobo15b2ob2o316b2o31b2o12b2o4bobo12bobo4b2o34b2o9bo19b
o3bo$o3bo8bo3bo11bo3bo20bo9bo7bobobobo17bo4bo125bo3bo92bobobo2bo165bo
3bo2bobobo14b2o23b2o31b2o12bobo4bo14bo4bobo44bobo18bo3bo$9bo12b2o4b2o
3b2o28bobo7b2ob2o24bobobo97bo2bo3bo16b3o126b2o164b2o72bo24bo46bobo14b
2o3b3o$obobo8bobobo5bo26bobobo6b3ob3o24bobobo231bo2bo25bobo2b2o133bo3b
o2bo3bo88b3o20b3o18bo26b2obob2obo8bobo$8bo14bobo34bo7bo4b2ob2o26bobob
o95bo2bobobo14b7o126bo3bo181bobo35bobo14bo18bo20bobo25bo2bobob2o8bo9b
2o$o3bo12bo6b2o24bo10b3ob3o4bobobobo13bo16bo116bo2bo2bo91bobobo2bo23b
4ob3o134bobobo2bo3bo11bobo35b3o9b3o24b3o20b3o17bobo26bobo12b2o7bo4bo$
7bo21b5o29bobo7bo3bo24bobo3b2o94bo2bo3bo8b2o15b2o116bo2bobo4b2o166b3o
9bobo10b4o7b4o10bobo11bo24bo12bob2obob2o9b2o14bo2bo$obobo2bo5bobobo9b
o7bo14bobobo9bo27bobobo5b2o112b2obob4o9b4obob2o85bo2bo33bo135bo2bo3bo
11bobo10b4o15bo4b2o13b2o4bo16bobo6b3o6b3o6bobo10b2obobo2bo8bobo16b2o20b
o4bo$29b5o170bo2bobobo4b2obo2b2obo2b3o2bob2o2bob2o100bo19bobo161bo4b2o
61b2o6bo3bo4bo3bo6b2o15bobo9bo16bo23bo4bo$37b2o180bo4bo3bobo3bo4bo84b
obobo2bo11b3o17b2o136bo2bobobo42b2o4bo6b3o6bo4b2o59bo2bo9bobo14b4o20b
o4bo$37bobo80b2o97b2o7b3o7b2o106bo179b2o4bo15b4o10bo5bo10b4o56b2o12b2o
18bo19bo4bo$39bo10bobobo37bobobo9bo13bo219b2o3b2o176b4o10bobo9b3o27b3o
60bo24b6o20bo4bo$28b2o3b2o4b2o64bobo14bo100b2o9b2o104bobo14b3o164b3o35b
obobobo68b6o24bo26bo2bo$29bo3bo20bo41bo24b2o100bo2bo5bo2bo106bo14bobo
177bobo55b2o6bo3bo4bo3bo6b2o11bo18b2o12b2o23bo2bo$26b3o5b3o24b2ob2o39b
obo8b2o224b2o13b3o235bobo6b3o6b3o6bobo12b4o14bobo9bo2bo18b2o4b2o4b2o$
26bo9bo13bobobo6bo3bo26bobobo10b2o5bo2bo2bo219b2o7b3o208b2o7b2o26bo24b
o17bo16bo9bobo19bobo2bo2bo2bobo$107b2o5b2o3b3o3b2o96bob2o5b2obo103bo2b
2o5bobo183b2o23b2o7b2o26b3o20b3o14b2o16bobo8bo2bobob2o12bobo12bobo$54b
o6bo3bo30bo8bobo12bo2bo2bo91b2o2bobo9bobo2b2o98b2obo6b3o183b2o63bo18b
o17bo2bo14b2o9b2obob2obo12b2obo4b2o4bob2o$61b2ob2o57b2o93bo4bo11bo4bo
101bo25b2o227b3o20b3o15bobo26bobo20bobo6bobo$50bobobo37bobobo8bobo10b
2o102bo13bo105b2o25bo227bo24bo10b2obobo2bo25bobo17b2obobobo2bobobob2o
$106bo11bo100bo2bo13bo2bo120b3o6bob2o222bobo4bo14bo4bobo8bob2obob2o26b
o17bobob2ob2o2b2ob2obobo$120bo239bobo5b2o2bo166b2o7bo46b2o4bobo12bobo
4b2o13bobo45bobobo2bo4bo2bobobo$119b2o239b3o7b2o128bo3bo3bo26b2obobo5b
3o53bo14bo20bobo46bo2b2o8b2o2bo$352b3o13b2o156bo7bobobo6bo93bo9b2o37b
2o2bo6bo2b2o$352bobo14bo130bo3bo3bo16bobo5bo2bo2bo5b2o100b3ob2ob2o34b
2o8b2o$246b2o104b3o14bobo154bo7b2o2b2o106bo8bo6b2o26bo10bo$108bo3bo129b
2o2bo118b2o3b2o128bobobo3bo138b5obobob2ob2ob3o21b2obo2b6o2bob2o$92bo3b
o11bo3bo88bobobo2bobobo28bo2bobo25b2o7b2o82bo286b2obobo8bo21bobobo6bo
bobo$109b3o44bobo60b2o10b2o7bobobob2o24bo2b2ob2o2bo64b2o17b3o135bo3bo
40b2o98b2o4bobobob5o22bobobo6bobobo$92bo3bo6b2o2b2o3b2o2b2o31b2obo2bo
bobo2bob2o39bo2bo3bo7bo10bo6b3obobobo26b2obobob2o64bobo19bo180bo99bo5b
obob2o26b2obo2bo4bo2bob2o$103bo2b3o3b3o2bo32bob4obob4obo54bo13bo3bo4b
3o3bo25bo5bo65bo157bo3bo38bobo100bo5bo5b2o26b2o8b2o$92bobobo7b3o7b3o33b
o5b3o5bo36bobobo2bo3bo6b2o5bo5b4o2b4obob3obo24bob3obo19b2o4b2o37b2o4b
obo2bo169b2o13b2o4b2o100b2o12bo23b2obo10bob2o$148b2obob2o5b2obob2o55b
2obobob2o5b2o11bo25bo3bo20bobo2bobo41b3ob4o168bo2bo11bo2bo118bo25bobo
bo6bobobo$96bo7b3o7b3o31bo2bobobo3bobobo2bo34bo6bo3bo4b5obobobobob5o2b
3obobob3o53b4o42bo3bo172b2ob2o10b2ob2o117b2o23bo5bo4bo5bo$103bo2b3o3b
3o2bo32bo6bo6bo51bo4bo3bobo3bo4bo3b2obob2o28bo3bo5b2o13bo2b2o2bo40b2o
2bobo171bo2bo11bo2bo143b2ob2o6b2ob2o$96bo6b2o2b2o3b2o2b2o31b2ob4obob4o
b2o35bobobo2bobobo4b3ob2o2bobo2b2ob3o39bo3bo5bobo12bo2b2o2bo45b2o166b
2o4b2o13b2o145bobo8bobo$109b3o40bo4bo4bo56bo5bobo5bo33b2o13b2obobo14b
o2bo214bobo166bobo8bobo$108bo3bo36b2o2bo2bobo2bo2b2o83b2o15bobo7b3o3b
obobo233bo169bo10bo$108bo3bo36bob2o4bo4b2obo54bo3bo3bo3bo16bo16bobob2o
12bo234b2o$141b2o11b7o11b2o48bo7bo16bobo17bobobo10bo2bo7b2o3b2o$141bo
2bob2o2b2ob9ob2o2b2obo2bo73b2o20bo15bo8bobobo4b3o$139b2o2b2obo2bobob2o
5b2obobo2bob2o2b2o66b3o22bo2bo6b3obo3bo8b2ob2o4bobo224b2o2b2o7bo$63bo
bo45b2o9b2o14bo2b2o4bob2o4bo3bo4b2obo4b2o2bo56b3o6bobo25bo6bobo5bo8bo
bobo4b3o217b2o5bo2bo2bo5bobo$50bobobo6b3ob3o42bo2bo8bobo7b2o4b2o4b2ob
o5bobo3bobo5bob2o4b2o56bobo6b3o21bo3bo6b3o2bo2bo7b2o3b2o224bo6bobobo7b
o$60bo7bo23bobobo10bo3bobo10bo8bo5bob2obobo2b2obo2bo3bo2bob2o2bobob2o
bo57b3o34bo13bo34bobobo2bobobo9b2o8bo40bo129b3o5bobob2o$50bo8bob3ob3o
bo35b3o3bob2o10bo5b2o6bobo2bo3b3o3b2o3b2o3b3o3bo2bobo53b2o36bo2bo11bo
bobo53b2o8b2o9b2o18b2o8b2o9b2o117bo7b2o$59bobo5bobo22bo11bo21bo3bo7b2o
2bobo3b2ob13ob2o3bobo2b2o51bobo16bo7bo13bo12b2obobo35bo6bo20b2o8b2o18b
2o9b2o8b2o$50bobobo3b2obo5bob2o33bob2obobo14bob2o7bo2bo5bob2o5b5o5b2o
bo5bo2bo50bo16bo3bo3bo3bo9bobobo13bobo64bo40bo$92bobobo8bo9bo22b3o2b3o
b3o5b2ob2o5b3ob3o2b3o50b2o37bobob2o3b3o7b2o14b7o11bobobo2bobobo46b2o$
54bo3b2obo5bob2o38bobob2obo8b2obo8bo2bo5bob2o5b5o5b2obo5bo2bo66bo5bob
o5bo7bobo7bo22b3ob3ob3o67b2o26b2o$59bobo5bobo26bo19bo7bo3bo9b2o2bobo3b
2ob13ob2o3bobo2b2o65b3ob2o2bobo2b2ob3o6b2o29bo4b3o4bo12bo2bo78b2o90bo
3bo2bobobo38bo2bo38bo19bo$50bobobo4bob3ob3obo36b2obo3b3o6b2o5bo9bobo2b
o3b3o3b2o3b2o3b3o3bo2bobo55b2obob2o3bo4bo3bobo3bo4bo13b3o20bob3obob4o
220bo2bo12bo40b3o5b2o12b3o$60bo7bo23bobobo10bobo3bo7bo8bo8bob2obobo2b
2obo2bo3bo2bob2o2bobob2obo53b3obobob3o2b5obobobobob5o13bo3bo20bo19bob
obo2bobobo166bo3bo6bo25bo10bo5bo34bo8b2o15bo$61b3ob3o39bo2bo10b2o7bob
o5b2o4b2obo5bobo3bobo5bob2o4b2o51bo11b2o5b2obobob2o17bo5bo21bobobob2o
bo77bobo138bo5bo9bo4b2o34b2o23b2o24bo$63bobo42b2o21b2o5bo2b2o4bob2o4b
o3bo4b2obo4b2o2bo51bob3obob4o2b4o5bo5b2o14bobobobo20b2obobobob2o77b2o
107bobobo2bobobo20b2o4bo10bo90b3o$139b2o2b2obo2bobob2o5b2obobo2bob2o2b
2o53bo3b3o4bo3bo13bo13b2obobob2o20bobo2bo82bo144bo12bo47b3o16b2o24bo$
141bo2bob2o2b2ob9ob2o2b2obo2bo57bobobob3o6bo10bo13bo2b2ob2o2bo19bo2b2o
91b2o102bo2bo28bo9bob4o35b2o4b2o2bob2o15bobo23b2o$92bobobo44b2o11b7o11b
2o56b2obobobo7b2o10b2o12b2o7b2o18b2o94b2o134b4obo6bo3bo26bo7bo2bo3b2o
2b2o17b2o$105b2o42bob2o4bo4b2obo65bobo2bo103b2o8bo27b2o18bo102bo2bobo
bo23bo3bo9bo3bo23bobo5b2obo8b2o46b2o$92bo12b2o42b2o2bo2bobo2bo2b2o65b
o2b2o104b2o8b2o25b2o27b2o122bo3bo11b4obo22b2o7b2o56bobo$108bo43bo4bo4b
o67b2o119b2o8b2o13b2o27b2o122bob4o12bo93b2o$92bobobo8bo2bo40b2ob4obob
4ob2o186bo8b2o22bo18b2o127bo14bo63b2o27bo$105bo44bo6bo6bo221b2o144bo10b
2o4bo62b2o26bo$50bobobo8b3ob3o22bo3bo10bob2o37bo2bobobo3bobobo2bo218b
2o144bo4b2o5bo5bo64bo24b2o$109b2o37b2obob2o5b2obob2o227bo136bo5bo10bo
6b2o56b3o22b2o2bo$54bo37bobobo12b2o39bo5b3o5bo229b2o128b2o6bo11bo2bo5b
3o6b2o63bo9b2o3b3o$65b3o82bob4obob4obo40bobobo2bo12b2o9bo156bobo121b2o
6b3o5bo2bo15bo4bo5bo23b2o7b2o24b3ob2o17bo$54bo10b3o83b2o2bobobo2b2o62b
o9bo280bo5bo4bo23bob3obob3o13b2o8bob2o5bobo10b3o9bo3bo11b3o2bo3bo$58b
o5bo3bo5bo81bobo50bo2bo12bo10bo281b3obob3obo27bobobo15b2o2b2o3bo2bo7b
o12bo11b2obo2bo7b3o7bo$54bo3bo4bob3obo4bo53b2o95b4o6b2o140b2o141bobob
o30bo2b2o14b2obo2b2o4b2o22b2o14b2o6bo7b3o$58bo2b2obo3bob2o2bo17bobobo
11b2o5b2o12bo75bobobo2bo10b2o4bo3bo143b2o26b2o114b2o2bo30bo17b3o33b2o
22bo3bo2b3o$54bo6b2obo3bob2o36bo2bobo2bo9bobo90b2obobob3o3bo4bo112bo54b
2o117bo31bo4bo72bo$58bo2b2obo3bob2o2bo17bo3bo108bo6bo6b2obo3bo5bo107b
2o8b2o9b2o27bo128bo4bo19bo8bo2bo3bobo21b2o49b3o3b2o$58bo4bob3obo4bo33b
o2bobo2bo7bobo2b2o91b2o10b3o103b2o9b2o8b2o17b2o8b2o9b2o115bobo3bo2bo8b
o6bobo7bo2bo3bobo12b2o8bo51bo2b2o$58bo5bo3bo5bo17bobobo10bo2bo3bo2bo87b
obobo2bo6b3o130bo27b2o9b2o8b2o115bobo3bo2bo7bobo4bo3bo9bo4bo13b2o5b3o
24b2o28b2o$65b3o39bobo5bobo4bobo2bo3bo86bo2bo23bo146bo126bo4bo9bo3bo4b
obo10bo25bo25bobo28bo$65b3o24bo3bo11bo7bo5b2o3bo4bo85b2o14bo9bobo277b
o10bobo6bo10bo2b2o48b2o28bo$129bobobo80bob2o10b3o2bobo8bobo274b2o2bo10b
o19bobobo76b2o$92bobobo11b2o5b2o13bobobo79b2obob2o22b2obob2o270bobobo
27bob3obob3o48b2o23bobo$63b3ob3o38b2o5b2o14bo4bo80bobo8bobo2b3o10b2ob
o268b3obob3obo23bo4bo5bo47bo24b2o$132bo3bo80bobo9bo14b2o73bobobo2bobo
bo18bo167bo5bo4bo15bo2bo5b3o6b2o48b3o$218bo23bo2bo103bo167b2o6b3o5bo2b
o11bo6b2o57bo24b2o$133b2o107b3o78bo6bo18bo174b2o6bo10bo5bo89bo$227b3o
10b2o106bo182bo5bo5b2o4bo90b3o$110bo120bo5bo3bob2o74bobobo2bobobo11bo
3b2obo181bo4b2o10bo93bo$92bobobo14bo114bo4bo3b3obobob2o96bo2b5o183bo14b
o$108bo2bo118bo3bo4b2o82bo6bo11bo2bo187bo12b4obo$92bo3bo11b3o116b2o6b
4o290bob4o11bo3bo$107bo11b2o106bo10bo80bobobo2bobobo13b2o184bo3bo9bo3b
o$58b2o18b2o12bobobo9bo12bo107bo9bo102bo4bo15bo170bo3bo6bob4o$57bo2bo
2b2o8b2o2bo2bo26bob2o6bobo107bo9b2o101bo3bo14b3o170b4obo9bo$58b2o2bob
o8bobo2b2o16bo12bob2o4b2o220b2obo15bo174bo12bo$41bobobo2bobobo7b2o14b
2o31bob2o230bo14b2o174bo10bo4b2o$60bo16bo14bobobo15bo225b2o2bo186b2o4b
o9bo5bo$45bo6bo4b2obo8b3o5bob2o28bob2o226bo189bo5bo10bo$57bo2bob2o5bo
bob3obo2bo28bob2o4b2o217b3o195bo12bo2bo$41bobobo2bobobo6b2ob2o5b3ob3o
b2o28bob2o6bobo81bobobo2bobobo13b2o108bo18b3o172bo2bo$106bo12bo106bo12b
ob2o12b2obo87b3o6bobo$41bo6bo58bo11b2o84bo6bo7b2o6bob2o5bobo18bobo85b
obo6b3o$108b3o110bo5b3obo5bobob3o10b3obobo85b3o18bo$41bobobo2bobobo6b
2ob2o5b3ob3ob2o29bo2bo89bobobo2bobobo5bobo3b2o139b3o129bo3bo2bobobo29b
2o$57bo2bob2o5bobob3obo2bo30bo105bo8b2o9b3obobo10bobob3o103bo173bo$57b
2obo8b3o5bob2o29bo90bo6bo8b2o2b2o5bo12bobo6bo3bobo104bo2b2o131bo3bo2b
o30b2obo$60bo16bo146b3obo9b2obo6b2ob2o3bob2o84b2o14bo168b2o4bobo$60b2o
14b2o123bobobo2bobobo7bob2o2bobob2o18bo94bo15bob2o132bobobo2bobobo21b
o$58b2o2bobo8bobo2b2o140bo3bobobob2o110b3o14bo3bo166bobo$57bo2bo2b2o8b
2o2bo2bo140b4ob2o114bo15bo4bo137bo6bo22b2o$58b2o18b2o10bo2bobobo127bo
18bo8bo104b2o$109b2o4b2o16b2o4bo11bo15bo55bobo16b3o8b3o245bo2bobobo78b
o2bob2obo2bo$90bo2bo3bo11b2o4b2o17bo3bobo10b3o11b3o55b2o15b2o3bo6bo3b
2o100bo2bo224b2o2bo4bo2b2o$131bobo4bobo13bo9bo76bo3bo6bo3bo98b5o2bo224b
o2bob2obo2bo$90bo2bo3bo11bo6bo13bo6b2obob2o9b2o9b2o75bo3b2o4b2o3bo97b
ob2o3bo$108bobo4bobo12b2o2b2o4b2obo3b2o21b2o70b3o8b3o99bo174b2ob6o16b
o$90bo2bo3bo5b2o2bo3bo2bo3bo2b2o14b3o8bo8bo3bo8bo71bo12bo98bo175b2o13b
2o6b3o$103b2o3bobo4bobo3b2o16bo8bobo4b2obobob2o4bobo183bo190b2o5bo$90b
o2bobobo11bo6bo15bo4b2o10b2o4bo2bobo2bo4b2o184bo197b2o$135bobo15b2ob2o
3b2ob2o380bo$109bo6bo15b2obo3bob2o10bobo7bobo380bo$103b2o3bobo4bobo3b
2o11b2obob2obo9bo2bo7bo2bo34bobobo2bo3bo333bo8b2o35b3o5b2o3bo2bo3b2o$
103b2o2bo3bo2bo3bo2b2o8bo4bobo14b2o9b2o109b3o239bo28bo9bo35bobo5b5o4b
5o$108bobo4bobo13b4obobo66bo2bo3bo7b2o24b2o15b2o14bo39bobobo2bo3bo18b
o167b3o9bo16bo8bo36b3o5b2o3bo2bo3b2o$109bo6bo17bob2o15b2o9b2o52bo2bo24b
o2bo11bo2bo9bo4bo69b3o168bo8bo16bo9b3o$131b3o18bo2bo7bo2bo34bobobo2bo
bobo65bo44bo2bo3bo21bo166bo9bo28bo$109b2o4b2o14bo21bobo7bobo109b2o74b
2o166b2o8bo38b2o3bo2bo3b2o5b3o$109b2o4b2o36b2ob2o3b2ob2o35bo10bo5b2ob
o24bob2o11b2obo10bo43bobobo2bobobo198bo38b5o4b5o5bobo$149b2o4bo2bobo2b
o4b2o50bobo2b2o14b2o2bobo15bobo2b2o5bo80bo172bo38b2o3bo2bo3b2o5b3o$148b
obo4b2obobob2o4bobo30bobobo6bo8bo4bo14bo4bo17bo4bo5bo47bo6bo26b2o163b
2o$148bo8bo3bo8bo51bo22bo19bo13b2o65bo176bo5b2o$147b2o21b2o50bo2bo16b
o2bo19bo2bo50bobobo6bo14bobo8bobo4b3o154b3o6b2o13b2o$153b2o9b2o64b3o2b
3o35b3obo3bo62bo3bo7b2o6bo155bo16b6ob2o$154bo9bo65bobo2bobo35bobobo4b
o62bobo$151b3o11b3o62b3o2b3o35b3o3bobobo56b2o4bo$151bo15bo112bobobo54b
obo$281bo4bo52bo26b2o215bo2bob2obo2bo$282bo3bo51b2o6bo14bo4bo215b2o2b
o4bo2b2o$346b2o14b2o3b3o173b2o38bo2bob2obo2bo$140bo85b2o12b2o27b2o12b
2o63bo12b2o6bo8b2o163bobo$93bo2bo12bob2o25b3o83bob2o12b2obo23bob2o75b
obo29bo166bo$107bobo17b2o8bo3b2o80bo20bo21bo79b2o28bobo159bobo4b2o$93b
o2bo10bobob3o13bo5b2o3b3o2bo82bo14bo27bo106b2o159bob2o$128bo4b2o5bobo
bob2obo72b2obo16bob2o19b2obo268bo$93bo2bo10b3obobo13b2o13bobobob2o72b
2o20b2o19b2o74b2o193b2o$111bobo27bo2bo195bobo28b2o$93bo2bo11b2obo20bo
bobo4b2obo195bo29bobo$125bo7b3o7bo195b2o8bo6b2o12bo$93bo2bo27bob2o221b
3o3b2o14b2o$124bo2bo73bobobo2bobobo44b2o93bo4bo14bo6b2o$119b2obobobo13b
2o116bo2b2o88b2o26bo$119bob2obobobo7b2o2bo64bo2bo22b2o25bobo2bo113bob
o$125bo2b3o5bo4bo85b2o2bo25b2obobobob2o104bo4b2o118bo3bo2bobobo$126b2o
3bo5b4o60bobobo2bobobo13bo2bobo26bobobob2obo103bobo150b2o$128b3o91b2o
bob3ob2o23bo31bo65bo6b2o7bo3bo122bo3bo2bo9b2o7bobo15b2o$128bo8b2o62bo
10bo9bob2obobobo23bob3obob4o21b3o62b3o4bobo8bobo140b2o7bo17b2o$137b2o
94bo21bo4b3o4bo23bo80bo124bobobo2bobobo14b3o$201bobobo2bobobo10b4obob
3obo21b3ob3ob3o17bo5b2o68b2o$89bo2bobobo125bo3b2ob2o3bo23b7o19b3o75bo
138bo2bo3bo$108bobobo110b3ob3ob3o53bo$89bo6bo11b5o112bo5bo7bo46b2o5b2o
71b2o133bo2bobobo14b3o$108bobobo124b3o52b2o11bo60bo147b2o7bo17b2o$89b
o2bobobo129bo3bo5bo66b3o61b3o144b2o7bobo15b2o$109bobo116bo7b2o64bo66b
o154b2o$89bo2bo14b2o3b2o106b2o38b3o39b2o$110bo110bo38bobo10b2o15bo$89b
o2bobobo10b2o3b2o107bobo9b3o24b3o10bo5b2o8b2o$222b2o9bobo15b2o18bobo5b
2o8bobo$227b3o3b3o14bobo18b2o17bo$227bobo9b2o9bo10b3o35bo19bobobo2bob
obo36bo2b2o34bo$227b3o9bobo7b2o10bobo34bobo8b2o55bobo2bo33bobo$241bo19b
3o35b2o8b2o12bo2bo18bo20bobobo16b2o17bo$241b2o56bo45b3o17b2obob2o16bo
29b2o$225b2o7bo51b2o31bobobo2bobobo17bo16bo2bo3bo13bo31bo104b2o$226bo
5bo3bo50bo59b2o17bo2b3obo12b5o25bobo7b2o5bo14bo49bo3bo2bobobo14bo37b2o
3b2o$223b3o58b3o36bo6bo34bo2b2o3bo16bo25b2o8b2o4b2o13bobo65b2o7bobo12b
2o21b2o3b2o$89bo2bobobo14b2o14b2o94bo7bo5bo46bo11b2o59b3o6bo2b4o11b4o
18b3o21b2o16bo49bo3bo2bo3bo4bobo8b2o12bobo16bo$107b2obobo14bobob2o96b
3ob3ob3o19b7o29b2o5b2o15bobobo2bobobo25bo2bo5bo2bo15bo2bo13b2o3bobo18b
o2b3ob2o2bo21b2o52bobob2o16b2obobo10b2o3b2o$89bo6bo11bobo18bobo96bo3b
2ob2o3bo16b3ob3ob3o34bo38b2o12bo2bo6b2obob5o25bo2bo2b3o17b3obo2bob3o22b
o37bobobo2bobobo5bobobo11b2o3bobobo11b2o2bo10bo$108bob2o16b2obo96bob3o
bob4o16bo4b3o4bo34b3o34bo2bo6b3o3bo2bo6bobo2bo2bo26b2o22bo2b2ob3o2bo21b
obo56bo12b2o6bo18bo3b2o2b2obo$89bo2bobobo10b2o22b2o96bo27b4obob3obo29b
2o5bo29bo2bo2bobo6bo2bo3b3o6bo2bo26b2o34b2o24b2o42bo2bo3bo6b2o13bo3bo
2b2o17bo3bo6b2o$106bo3b2o16b2o3bo97bobobob2obo26bo30bo36b5obob2o6bo2b
o12b2o21b3o2bo2bo31b2o4b2o10b3o64b3o17bo2b3o$89bo6bo10bobo20bobo97b2o
b3obob2o15bob2obobobo33b3o39bo2bo5bo2bo36bobo3b2o13bo2bo15bo5b2o5b2o3b
obo51bo2bobobo5b3o20b3o11b2o$106b2obo20bob2o97bobo2bo19b2obobobob2o34b
o35b4o2bo6b3o37b3o18b4o27bo2bo2b3o64b3o20b3o11b2o3bo7b2o$89bo2bobobo7b
o2bob2o18b2obo2bo95bo2b2o24bo2bobo70bo3b2o2bo36b2o25bo34b2o70b3o2bo17b
3o16b2o7bo3b2o$104b2obo5b3o8b3o5bob2o94b2o29b2o2bo70bob3o2bo17b2o17bo
bo25b5o103b2o2bo3bo13b2o30b2o$107bo5bobo3b2o3bobo5bo132b2o70bo3bo2bo16b
o18bo31bo104bo6b2o12bo$107b2o4b3o2bo2bo2b3o4b2o205b2obob2o17b3o14b2o29b
o42bo2bo58bobobo3b2o11bobobo13b2o6bo3bo$119b2o218bobobo20bo27bo17b2o41b
4o57bobob2o16b2obobo13bob2o2b2o3bo$338bo2bobo47bobo56bo63bobo12b2o8bo
bo14bo10bo2b2o$119b2o217b2o2bo49bo57b5o60b2o12bobo7b2o24b2o3b2o$107b2o
4b3o2bo2bo2b3o4b2o107b2o212bo76bo33bo$107bo5bobo3b2o3bobo5bo91b2o14bo
211bo78b2o22b2o3b2o$104b2obo5b3o8b3o5bob2o65bobobo2bobobo10bobo12bobo
211b2o101b2o3b2o$104bo2bob2o18b2obo2bo83b2o2bo14b2o$106b2obo20bob2o71b
o6bo6bobob2o$107bobo20bobo88bo3bo345bo$106bo3b2o16b2o3bo67bobobo6bo8b
ob2o9bo6b2o200bo127b2o$107b2o22b2o86b2o2b2o8b3o6bo198bobo127bo$108bob
2o16b2obo69bo10bo5bo2b2o19bob2o196bobo33bo97b2o$108bobo18bobo86b2obo19b
2o2bo135bo28bo31bo25b2o9bo96bobo$107b2obobo14bobob2o68bobobo6bo8bo6b3o
8b2o2b2o136b3o20b2o4bo4b2o50bobo8bobo97bo$111b2o14b2o92b2o6bo9b2obo141b
o18bobo4bo4bobo49b2o10bobo96b2o$238bo3bo120bo19b2o18bo13bo27bo26bo$239b
2obobo74bobobo2bobobo22bo8bobo35b2obo4b5o4bob2o23bobo25bo$224b2o14bo2b
2o106b3o8bobo10bo3b2o19b2obo2bob5obo2bob2o23bobo24bobo68b2o$223bobo12b
obo82bo2bo23bo9b2o2b2o8bobobobo22bobo2b5o2bobo27bo26bo24bo3bo2bobobo33b
obo$90bo2bo3bo6b2o4bo19bo4b2o86bo14b2o110b2o9bobo6b2o2bobobo7bo16bobo
9bobo54bo71bo4b2o$103bobo4bobo15bobo4bobo84b2o95bobobo2bobobo29bo2b3o
4bobobobob2o5b3o11b2o3bo11bo3b2o15bo22bo36bo3bo2bo3bo4bo26b4ob2o2bo2b
o$90bo2bo3bo4b3o6bo2bo11bo2bo6b3o201b3o17bobo3bo5bobobo3bo17bo2bo17bo
2bo13bobo20bo27b2o45b2o4bo2bobobobob2o$102b2o5bobob3o9b3obobo5b2o184b
o2bo3bo10bo19bob3ob2o4b2o5bo16bobobo7bobo7bobobo13bo5b3o12bobo10bo15b
obo7bobobo2bobobo2bobobo18bo8bobobobo$90bo2bobobo5b2o3b4o3b2o7b2o3b4o
3b2o17bo192bo14bo10bo5bo16bobob2o15b2obobo20bo12bobo11bo16b2o46bo7b2o
bobo$104b3obobo5b2o5b2o5bobob3o17bobo162bobobo2bobobo16b3o13bo10bo5bo
14b2obo3bo6b3o6bo3bob2o44bobo4bo23bo6bo4bo18b5o11bo$90bo6bo7bo2bo6b3o
5b3o6bo2bo18bobo44bobobo2bobobo10bo6bo130bob3ob2o4b2o5bo14bo2bob2o17b
2obo2bo45bo3b2ob2o4bo47bo$107bobo4bobo7bobo4bobo13b2o4b2obob2o62bobo4b
obo106b2o20bobo3bo5bobobo3bo11b2obobobo2bo15bo2bobobob2o20b2o20bo5bo4b
2ob2o14bo2bobobo26b4o$90bo6bo11bo4b2o9b2o4bo16bo2bo4b2obo45bo2bo3bo5b
2o3bo6bo3b2o103bo20bo2b3o4bobobobob2o12bo2bobobob2o15b2obobobo2bo19bo
bo33bo50bo2bo4b2o$120b3o22bobo3bob3o62b2o14b2o10b3o11b3o73b3o22bobo6b
2o2bobobo14b2o6bo17bo6b2o19b2o14bo79b2o$120bobo21bo10bo45bobobo2bobob
o31bob3o11b3obo71bo23b2o2b2o8bobobobo14b5obo17bob5o21b2o12b2ob2o4bo5b
o53b2o$120b3o21b2o2b2o2b3o72b3o13bobobo13bobobo96bobo10bo3b2o14bo4bo3b
o3bobobo3bo3bo4bo21b2o14bo4b2ob2o3bo53bo2bob2o$109bo4b2o9b2o4bo19bo49b
o6bo3bo14bobo13bo2bo15bo2bo96bobo31b4o3bobo9bobo3b4o22b2o21bo4bobo54b
2ob2o$107bobo4bobo7bobo4bobo13bobobob2o64b3o5b3o2b3o9b2o17b2o98bo33bo
5bobo9bobo5bo24bobo7b2o16bo11bobo51b2o$105bo2bo6b3o5b3o6bo2bo9b3obobo
b2o46bobobo2bobobo182bo5bobobob7obobobo5bo23b2o7bobo15bo10bobo51bobo$
104b3obobo5b2o5b2o5bobob3o7bo4b2o99bobo3bobo136b2o2b3obo13bob3o2b2o33b
2o27bo54bo9bo$103b2o3b4o3b2o7b2o3b4o3b2o7b4o95b2o5bo5bo5b2o133bo4bo13b
o4bo64bo66b2o13b2o$102b2o5bobob3o9b3obobo5b2o9bo70b3o5b3o2b3o8bo2bo4b
o5bo4bo2bo133bo3bobo9bobo3bo22bo30bo70b2o5b2o15bo$102b3o6bo2bo11bo2bo
6b3o8bo79bobo13bobo17bobo132b2o4b2o3b3o3b2o4b2o14bo5b3o29bo70bo21bo5b
2o$103bobo4bobo15bobo4bobo9b2o78b3o14bob2o13b2obo171bobo35bobo70b3o18b
2o5bo$104b2o4bo19bo4b2o108b3o13b3o173bo37bo73bo25bob2o$218b2o14b2o10b
2o13b2o212bo92b2o2b2obo2bo$218b2o3bo6bo3b2o209bo20bobo10b2o87b2o3bob2o
$222bobo4bobo212bobo20bobo8bobo92bo$223bo6bo213bobo21bo9b2o92b2o$91bo
2bobobo346bo23bo60bo$530b2o46b2o$91bo2bo13b8o9bo242b2o159bobo34bo12bo
$108bob4obo8b3o240bo2bo71bo72b2o50bo11bob2o$91bo2bobobo9b8o7bobobo239b
obo72bobo71bo48b3o3b2o4b3o2bo$123bobobo191bobobo2bobobo9b2o26bo72bobo
70bo56b2o3bo3b2o$91bo6bo25b3o212bobo101bo70b5o14b2o41b4o$125bo75bobob
o2bobobo110bo6bo4b2o2bo179bo13bo28b2o15bo$91bo2bobobo125b3o18b3o87bob
ob2o24bo150b3o12bobo27bobo12b3o$205bo2bo3bo10bo3bo5bo10bo3bo22bo17bo29b
obobo6bo6bobo25bo149bo15b2o28bo13bo$107bo4b3o10bo96bo5bo3bobo8bo5bo20b
obo15bobo45b2obo6b2o18bo9b2o137b4o41b2o14b5o$106b3o3bobo9b3o74bobobo2b
o3bo18bo3bo27b2o4bob2o15b2obo4b2o25bo6bo3bo2bob2o5b2o16b2o5b2obo2bo135b
2o3bo3b2o56bo$105bobobo2b3o8bobobo93bo7bobo3bo6bo7bo12b2o3b2ob2o15b2o
b2o3b2o36b2o9bo18b2o6bob2o136bo2b3o4b2o3b3o48bo$105bobobo8b3o2bobobo77b
o2bo3bo8bo7bob2ob2o6bo7bo18bob2o15b2obo27bobobo6bo15bo25bobo137b2obo11b
o50b2o$106b3o9bobo3b3o143bobo15bobo55bo24b2obobo138bo12bo34bobo$107bo
10b3o4bo75bobobo2bobobo9bo5bo14bo5bo21bo17bo82bo2b2o138b2o46b2o$223bo
3bo16bo3bo121bobo191bo$224b3o18b3o95bo26b2o149b2o$107bo234bobo176bo$106b
3o232bo2bo173b2obo3b2o$105bobobo232b2o172bo2bob2o2b2o$105bobobo7b8o110b
o280b2obo25bo$106b3o8bob4obo110b3o281bo5b2o18b3o$107bo9b8o113bo280b2o
5bo21bo$237b2o8b2o6b2o16bo250bo15b2o5b2o$246bo2bo4bo2bo15b3o248b2o13b
2o$240b2o3b6o2b6o17bo264bo9bo$239bobo4bo2bo4bo2bo17b2o274bobo$239bo7b
2o6b2o27bo2bob2obo2bo23bobobo2bobobo23b2o195b2o$91bo2bobobo18b2o120bo
bo35b3o4b4ob2ob4o58b2o202b2ob2o$117b2o121b2o34bo2bo4bo2bob2obo2bo27bo
2bo3bo86bo140b2obo2bo$91bo2bo180bo140bobo144b2o$276bo2bo39bobobo2bobo
bo84bo3bo130b2o$91bo2bobobo126b2o6b2o42b3o136bobo131b2o4bo2bo$113b2o2b
3o104bo2bo4bo2bo87bo2bo3bo67b2o17bo4b2o132b4o$91bo2bo3bo14b2o9b3o96b6o
2b6o116b3o42bo23bobo137bo$117bobo4b3o97bo2bo4bo2bo83bobobo2bobobo22bo
2bo39bobo25bo121bo11b5o$91bo2bobobo19bo5b3o98b2o6b2o8b2o151b2o26b2o119b
obob2o7bo$127b3o113bo110b3o188bobobobo8bo$105b3o19b3o114b3o168bo126b2o
bobobobo2bo4b2o$105b3o19b3o116bo31b2o135b2o125bo2bo2b2ob4o$105b3o168b
o4bo103bo29b3o126b2o4bo$108b3o5bo158bo6bo63b2o37bo4b2o158bobo$108b3o4b
obo156bo8bo55b2o5bo2bo8b2o25bo4b3o22b2o2bo131b2o$108b3o9b2o152bo8bo55b
2o5bo2bo8bobo31bo22bo$115b3o2b2o152bo8bo63bobo9b2o23bo8b2o19b5obo$275b
o6bo100b2o8bob4o6bo9bobobo$276bo4bo72b2o9bobo15b2o5bobo3bobo5b2o$278b
2o74bobo8bo2bo5b2o7bo6b4obo8b2o$116b2o237b2o8bo2bo5b2o18b2o8bo$116b2o
249b2o27bo$396b3o4bo11bobobo$397b2o4bo10b5obo$403bo11bo$358b3o54b2o2b
o2$358bo2bo53b3o$359b3o29b2o22b2o$390bobo22bo$390bo$389b2o33b2o$424bo
$422bobo$359b2o56bo4b2o$359b2o55bobo$415bo3bo$416bobo$417bo!
|position    = center
|position    = center
|caption      = Oscillator collection
|caption      = Alien oscillator collection
|style        = width:300px;
|style        = width:300px;
}}
}}

Revision as of 08:51, 12 January 2026

Gemini.png This page is under construction. Sorry for the inconvenience.
4diagonal
x=64, y = 64, rule = B34c/S23 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]]
LifeViewer-generated pseudorandom soup
Rulestring 23/34c
B34c/S23
Character Chaotic

4diagonal is an Isotropic non-totalistic rule that differs from regular Life by one isotropic birth transition B4c. Any true or pseudo still-life from life with four live corners (& only 4 live corner cells) situated around a cell will either become an oscillator (e.g. a 2x2 grid of blocks) or will fail (e.g. the standard eater 2).


Patterns

Oscillators

Several new oscillators emerge. Interestingly, most traffic light predecessors from Life query B4c without any permanent evolutionary changes. Periods containing oscillators not in common with Life include 2, 3, 11, 12, 32, 38 and 90.[1] Many were found in the much more thoroughly-apgsearched rule B34c/S234c, and found to be compatible with 4diagonal.

x = 706, y = 307, rule = B34c/S23 646b2o$647bo$646bo12b2o$646b2o5bo5bo$649b2obobo5bo$644b5obobobo4b2o$643b o8bobob2o$644b3ob2ob2obobob5o$646b2o6bo8bo27b3o$obobo5bo2bobobo8bo9bo 13bobobo37bobobo10b2o493bo14bo36b2ob2ob3o27bo3bo$10bo15b3o5b3o36bo3bo 23b2o3bobo95bo2bobobo15b2ob2o316b2o31b2o12b2o4bobo12bobo4b2o34b2o9bo19b o3bo$o3bo8bo3bo11bo3bo20bo9bo7bobobobo17bo4bo125bo3bo92bobobo2bo165bo 3bo2bobobo14b2o23b2o31b2o12bobo4bo14bo4bobo44bobo18bo3bo$9bo12b2o4b2o 3b2o28bobo7b2ob2o24bobobo97bo2bo3bo16b3o126b2o164b2o72bo24bo46bobo14b 2o3b3o$obobo8bobobo5bo26bobobo6b3ob3o24bobobo231bo2bo25bobo2b2o133bo3b o2bo3bo88b3o20b3o18bo26b2obob2obo8bobo$8bo14bobo34bo7bo4b2ob2o26bobob o95bo2bobobo14b7o126bo3bo181bobo35bobo14bo18bo20bobo25bo2bobob2o8bo9b 2o$o3bo12bo6b2o24bo10b3ob3o4bobobobo13bo16bo116bo2bo2bo91bobobo2bo23b 4ob3o134bobobo2bo3bo11bobo35b3o9b3o24b3o20b3o17bobo26bobo12b2o7bo4bo$ 7bo21b5o29bobo7bo3bo24bobo3b2o94bo2bo3bo8b2o15b2o116bo2bobo4b2o166b3o 9bobo10b4o7b4o10bobo11bo24bo12bob2obob2o9b2o14bo2bo$obobo2bo5bobobo9b o7bo14bobobo9bo27bobobo5b2o112b2obob4o9b4obob2o85bo2bo33bo135bo2bo3bo 11bobo10b4o15bo4b2o13b2o4bo16bobo6b3o6b3o6bobo10b2obobo2bo8bobo16b2o20b o4bo$29b5o170bo2bobobo4b2obo2b2obo2b3o2bob2o2bob2o100bo19bobo161bo4b2o 61b2o6bo3bo4bo3bo6b2o15bobo9bo16bo23bo4bo$37b2o180bo4bo3bobo3bo4bo84b obobo2bo11b3o17b2o136bo2bobobo42b2o4bo6b3o6bo4b2o59bo2bo9bobo14b4o20b o4bo$37bobo80b2o97b2o7b3o7b2o106bo179b2o4bo15b4o10bo5bo10b4o56b2o12b2o 18bo19bo4bo$39bo10bobobo37bobobo9bo13bo219b2o3b2o176b4o10bobo9b3o27b3o 60bo24b6o20bo4bo$28b2o3b2o4b2o64bobo14bo100b2o9b2o104bobo14b3o164b3o35b obobobo68b6o24bo26bo2bo$29bo3bo20bo41bo24b2o100bo2bo5bo2bo106bo14bobo 177bobo55b2o6bo3bo4bo3bo6b2o11bo18b2o12b2o23bo2bo$26b3o5b3o24b2ob2o39b obo8b2o224b2o13b3o235bobo6b3o6b3o6bobo12b4o14bobo9bo2bo18b2o4b2o4b2o$ 26bo9bo13bobobo6bo3bo26bobobo10b2o5bo2bo2bo219b2o7b3o208b2o7b2o26bo24b o17bo16bo9bobo19bobo2bo2bo2bobo$107b2o5b2o3b3o3b2o96bob2o5b2obo103bo2b 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Alien oscillator collection
(click above to open LifeViewer)

Stable circuitry

The Snark and Snark64, along with several Herschel Conduits, are preserved in this rule. Notably, the Colour-preserving semi-Snark becomes a RT49 reflector on its own in this rule.

Spaceships

Despite the single-transition change from life, there are several new speeds of ships, including a large 17c/35 orthogonal ship, two minuscule c/17 orthogonal ships, and

Below is a table of the smallest ships:

Direction Speed Period Smallest known Minimum # of cells
orthogonal c/2 2 66P2H1V0 66
4 lightweight spaceship 9
c/3 3 25P3H1V0.1 25
c/4 4 37P4H1V0 37
c/5 5 Spider 58
10 68P10H2V0 68
c/6 6 56P6H1V0 56
c/7 7 16P7H1V0 16
c/10 10 Copperhead 28
c/17 17 30P17H1V0 28
2c/5 5 51P5H2V0.1 51
2c/7 7 Weekender 36
17c/35 45 1768P45H17V0 1768
diagonal c/4 4 glider 5
c/5 5 58P5H1V1 58
c/6 6 77P6H1V1 77
c/8 8 walrus 68

Infinite Growth

The century is a 42c/220 puffer in this rule.

In addition to the p41 glider gun, there is an extremely simple p46 gun.

References

  1. ↑ Period1GliderGun (August 1, 2022). Re: Rules 1 transition from Life (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=OCA:4diagonal&oldid=167435"