OCA:2×2 2

2×2 2
x=64, y = 64, rule = B3678/S1258 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 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	1258/3678 B3678/S1258
Rule integer	150984
Character	Stable
Black/white reversal	B12458/S34678

2×2 2 is a Life-like cellular automaton in which a cell survives from one generation to the next if it has 1, 2, 5 or 8 neighbours, and is born if it has 3, 6, 7 or 8 neighbours.

Block evolution

For more about 2×2 block rules, see OCA:2×2#Block evolution.

The 2×2 2 rule can emulate a simpler block cellular automaton one differing 2×2 by only one transition. The emulated automaton is a block cellular automaton that makes use of the Margolus neighbourhood and evolves according to the following six rules:

x = 42, y = 26, rule = B3678/S1258History 6F7.6F4.6F7.6F$F4AF3.D3.F4.F4.F4AF3.D3.F4.F$F4AF4.D2.F.2A.F4.F4AF4.D2. F4.F$F4AF.5D.F.2A.F4.F2A2.F.5D.F4.F$F4AF4.D2.F4.F4.F2A2.F4.D2.F4.F$6F 3.D3.6F4.6F3.D3.6F5$6F7.6F4.6F7.6F$F2.2AF3.D3.F4.F4.F2A2.F3.D3.F4.F$F 2.2AF4.D2.F4.F4.F2A2.F4.D2.F.2A.F$F2A2.F.5D.F4.F4.F2A2.F.5D.F.2A.F$F2A 2.F4.D2.F4.F4.F2A2.F4.D2.F4.F$6F3.D3.6F4.6F3.D3.6F5$6F7.6F4.6F7.6F$F2A 2.F3.D3.F4.F4.F4.F3.D3.F4.F$F2A2.F4.D2.F4.F4.F4.F4.D2.F4.F$F4.F.5D.F4. F4.F4.F.5D.F4.F$F4.F4.D2.F4.F4.F4.F4.D2.F4.F$6F3.D3.6F4.6F3.D3.6F! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

(click above to open LifeViewer)

Patterns

Oscillators

The emulation differs from 2×2 by one transition, so It's possible to make giant oscillators with this rule, by making a line with a length that is a power of 2 (greater than 2) and a thickness of 2.

x = 223, y = 142, rule = B3678/S1258 4bobo$3bo3bo2$7bo$6bo2$4bo$3bo2b2o126bobo5bobo$133bo3bo3bo3bo13b24o8b 32o$159b24o8b32o$137bo4bobo14b24o8b32o$52bo12bo70bo4bo3bo13b24o8b32o$ 3b2obo46bo10bo$7bo12bo4bo12bo15b2o6b2o9b2o2b2o2b2o51bo6bo3bo$20bo4bo11b obo14b3o4b3o69bo2b2o4bobo$3b2obo10bo10bo9bo16b2o4b2o10b2o2b2o2b2o$7bo 8bobobob2obobobo24bo2bo2bo2bo10bo2b2o2bo$17bo10bo6b2obob2o12bo3b2o3bo 10bo2b2o2bo$7bo12bo4bo28bo2bo2bo2bo9b2o2b2o2b2o$3b2obo13bo4bo12bo16b2o 4b2o$37bobo14b3o4b3o9b2o2b2o2b2o$38bo15b2o6b2o$53bo10bo$52bo12bo2$112b o$19b3o7b4o10b4o9bo4bo10bo6bo31bobo$3bo3bo11b3o7b4o10b4o8bo6bo8bo8bo32b o$3bo3bo11b3o7b4o10b4o22bo12bo23bo2bo2bo$16bo2b3o2bobo2b4o2bo7b4o9b6o 7b2o10b2o6b8o10b4o$3bo3bo11b3o7b4o10b4o9b6o10b8o9b8o10b3o$4bobo12b3o7b 4o10b4o22b2o10b2o6b8o9b4o54b2o$19b3o7b4o10b4o8bo6bo6bo12bo6b8o7bo2bo2b o53b2o$7bo35b4o9bo4bo9bo8bo22bo60b2o$7bo64bo6bo23bobo58b2o$104bo59b2o $164b2o$164b2o$4bo2b2o155b2o$4bo56bo102b2o$60bobo101b2o$4bo12bob2obo7b 2o2b2o24bobo101b2o$5bobo10bo2bo9b2ob2o18bo2b2obo103b2o$8bo8bob2obo7b2o 2b2ob2o2b2o10bobo4bo103b2o$37b2ob2o9bo4bobo74b2obo5bobo19b2o$8bo28b2o 2b2o8bob2o2bo79bo3bo3bo18b2o$4b2obo41bobo112b2o$49bobo81b2obo4bo3bo18b 2o$50bo86bo3bo3bo18b2o$164b2o$137bo3bo3bo18b2o$5bob2o124b2obo5bobo19b 2o$4bo13b2o144b2o$18b2o144b2o$4bo2bo10b2o7bo136b2o$4bo3bo9b2o7bobo7bo 4bo11bo3bo105b2o$18b2o7bobo7bo4bo12b2o2bob2o101b2o$4bo3bo9b2o7bobo7bo 4bo7b3ob4ob3o102b2o$5bobo10b2o9bo8bo2bo7b2obo2b2o107b2o$18b2o33bo3bo106b 2o$164b2o$164b2o$164b2o$70b4o$70b4o$22b7o15b8o16b8o20b6o$22b7o15b8o16b 8o20b6o$22b7o15b8o14b2o2b4o2b2o18b6o$5bobo14b7o15b8o14b2o2b4o2b2o18b6o 32bo3bo3b2obo$4bo3bo13b7o15b8o14b2o2b4o2b2o18b6o32bo3bo7bo10b3o$22b7o 15b8o14b2o2b4o2b2o18b6o55bobo$5bobo14b7o15b8o14b2o2b4o2b2o18b6o32bo3b o3b2obo11b2o$4bo3bo13b7o15b8o14b2o2b4o2b2o18b6o33bobo8bo10b2o$22b7o15b 8o14b2o2b4o2b2o10b8o6b8o47b2o$4bo3bo13b7o15b8o14b2o2b4o2b2o10b8o6b8o28b o7bo10b2o$5bobo14b7o15b8o14b2o2b4o2b2o18b6o36bo3b2obo10bobo$22b7o15b8o 14b2o2b4o2b2o18b6o54b3o$22b7o15b8o14b2o2b4o2b2o18b6o$22b7o15b8o14b2o2b 4o2b2o18b6o$22b7o15b8o16b8o20b6o$22b7o15b8o16b8o20b6o$70b4o22b6o$70b4o 22b6o4$160b2o$160b2o$160b2o$160b2o$64bo2bo92b2o$64bo2bo92b2o$o4bobo56b 4o92b2o$o3bo3bo54b6o91b2o$39b16o7bob4obo11b13o36bob2o4bobo19b2o$o7bo12b 2o2b3o2b2o7b16o7bo2b2o2bo11b13o35bo7bo3bo18b2o$o6bo18bo12b16o7bo2b2o2b o9b17o64b2o$22bo7bo8b16o7bob4obo11b13o35bo2bo8bo18b2o$o4bo17b3ob3o33b 6o12b13o35bo3bo6bo19b2o$o3bo2b2o55b4o92b2o$64bo2bo61bo3bo4bo21b2o$64b o2bo62bobo4bo2b2o18b2o$160b2o$160b2o$160b2o$160b2o3$35b2o35b4o20bobo$ 35b2o35b4o19bo3bo$18b2o15b2o14b6o13b2o4b2o$o3bo3bo9b2o15b2o14b6o13b2o 4b2o19bo$o3bo3bo9b2o15b2o14b6o13b2o4b2o18bobo$18b2o15b2o14b6o13b2o4b2o 18bobo61b2o$o3bo3bo9b2o15b2o14b6o13b2o4b2o82b2o$o4bobo10b2o15b2o14b6o 13b2o4b2o15b3o3b3o58b2o$18b2o15b2o14b6o13b2o4b2o16bobobobo59b2o$o7bo9b 2o15b2o14b6o13b2o4b2o18bobo61b2o$o7bo9b2o15b2o14b6o13b2o4b2o16bobobob o59b2o$18b2o15b2o14b6o13b2o4b2o15b3o3b3o58b2o$18b2o15b2o14b6o13b2o4b2o 47bo4bobo5bob2o18b2o$18b2o15b2o14b6o13b2o4b2o18bobo26bo3bo3bo3bo22b2o $35b2o35b4o20bobo61b2o$35b2o35b4o21bo27bo7bo3bo2bo19b2o$125bo6bo4bo3b o18b2o$95bo3bo60b2o$96bobo26bo4bo6bo3bo18b2o$125bo3bo2b2o4bobo19b2o$160b 2o$160b2o$160b2o$o3bo2b2o151b2o$o3bo13b2o2b3o2b2o131b2o$23bo136b2o$o3b o13b2o3bo3b2o131b2o$o4bobo9bo2bo5bo2bo130b2o$8bo9bo9bo131b2o$o22bo$o7b o13bobo$4b2obo15bo$22bobo$22b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 1000 WIDTH 1400 ]]

Known oscillators not in 2×2 (click above to open LifeViewer) RLE: 2osc.rle here Plaintext: 2osc.cells here

Spaceships

2c/5o,c/3o, c/5 and c/6 spaceships not in 2×2 are known.

x = 72, y = 102, rule = B3678/S1258 4b3o6b3o13bo10bo12bo12bo$2b2obob2o2b2obob2o10b3o8bo2bo8bo2bo11bo$4b3o 6b3o12bobo8bo14bo7bo2b3o2bo$2b2ob2o6b2ob2o9bobobo10b2o6b2o9bobo5bobo$ 3bobo2bo2bo2bobo8b2o5b2o9b2o4b2o11bo3bo3bo$29bo33bobobobo$b2o14b2o9bo bo$b2obob2o4b2obob2o9b3o31bo7bo$3bo3bo4bo3bo25b10o10b4ob4o$4bob2o4b2o bo27b8o10bo9bo$7bo4bo30b3o2b3o$3b2o3bo2bo3b2o25b3o4b3o12b2ob2o$5bo3b2o 3bo26b3obo2bob3o13bo$4b2o3b2o3b2o26bo2bo2bo2bo13bobo$2b2o5b2o5b2o24b10o 12b2ob2o$8b4o31bobo2bobo12bo5bo$3bob2ob4ob2obo24b3o2b2o2b3o9b2o5b2o$2b ob3o6b3obo22bo12bo8bo2bobo2bo$2bob2o2b4o2b2obo22b4o2b2o2b4o8b2o5b2o$2b 4o2b4o2b4o23bo10bo$5bo2b4o2bo25bo5b2o5bo$7bo4bo28b4o4b4o$3b2o2bo4bo2b 2o28b4o$3b2o4b2o4b2o26b3o2b3o$4b3o6b3o30b2o$42bobo4bobo$6b2o4b2o27bo2b o4bo2bo$5bo8bo25bo12bo$4bobobo2bobobo27bo6bo$5bob6obo28b2o4b2o$3bo3b2o 2b2o3bo24bo3bo2bo3bo$2b3ob8ob3o22bobo2bo2bo2bobo$7b6o27bob3o4b3obo$9b 2o32b2o4b2o$7b6o30bo6bo$6b2o4b2o$6b2o4b2o28b2o6b2o$4b3o6b3o$3bo2bo6bo 2bo25b2obo2bob2o$2b3o10b3o27b4o$3b2o10b2o24bo2b2o2b2o2bo$7bo4bo28b5o2b 5o$bo4bo6bo4bo23bo8bo$b2o2b2o6b2o2b2o24bo2b2o2bo$9b2o$7bo4bo$6bobo2bo bo$5bo8bo$5b2o2b2o2b2o$8bo2bo$4b3o6b3o$4bob2o4b2obo$4bo2b2o2b2o2bo$3b 2ob2o4b2ob2o$3bo3bo4bo3bo$8bo2bo2$3bob4o2b4obo$4bo10bo$2b2o12b2o$5bo2b o2bo2bo$b3obobo4bobob3o$b2obo2bo4bo2bob2o$3bo2bo6bo2bo$3bo12bo2$3bobo 8bobo$3bo12bo$3bobo8bobo$b3obo8bob3o3$o18bo$3b3o8b3o2$bobo12bobo$bobo 12bobo$bo2bo10bo2bo$2b4o8b4o2$5bo8bo$2bo2bob2o2b2obo2bo$4bob2o4b2obo$ 3b2o2bob2obo2b2o$4bo4b2o4bo$4bo10bo$5bobo4bobo$3b2ob2ob2ob2ob2o$8bo2b o$2b2o12b2o$2b2ob2obo2bob2ob2o$7b2o2b2o$7b2o2b2o$6bo2b2o2bo$5b2o6b2o$ 4bo10bo2$5bo8bo$3bobo8bobo$4bo2bo4bo2bo$4bo2bo4bo2bo$6bo6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 1000 WIDTH 1400 ]]

from left to right: 2c/5o, c/3o, c/5, c/6 (click above to open LifeViewer)

See also

• List of Life-like cellular automata
• HighFlock
• Flock
• 2×2

External links

• "2x2 2" (B3678/S1258) (discussion thread) at the ConwayLife.com forums
• 2×2 2 at Adam P. Goucher's Catagolue