OCA:B35/S236

B35/S236
x=64, y = 64, rule = B35/S236 ! #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	236/35 B35/S236
Rule integer	38952
Character	Explosive
Black/white reversal	B0124678/S014578

x = 3, y = 3, rule = B35/S236 2o$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 640 THUMBSIZE 2 ZOOM 14 X -1 Y -1 GPS 12 THEME Book AUTOSTART T 0 PAUSE 3 T 100 PAUSE 2 LOOP 101 ]] The boat is a 18-tick predecessor of the loaf, and is one of the most common chaotic growth seeds. The animation shows first 100 ticks of the evolution, with highlighted envelope (click above to open LifeViewer)

B35/S236 (LifeViewer and Catagolue alias Eppstein) is a Life-like cellular automaton in which a cell survives from one generation to the next if it has 2, 3 or 6 neighbours, and is born if it has 3 or 5 neighbours.

This rule is highly explosive, and almost every sufficiently large pattern will quickly evolve into a spacefiller-like structure, with large numbers of spaceships often emerging from the surface.

Patterns

Oscillators

x = 75, y = 55, rule = B35/S236 obobo49bo2bobobo$22bo4bo41b4o$4bo5b2o9bobo2bobo25bo2bo3bo7bo2bo$10b2o 10bo4bo39b2o4b2o$obobo7b3o8b4o27bo2bo3bo5bo6bo$12b2obo8bo42bo6bo$o11b ob2o8bo29bo2bo3bo5b2o4b2o$13b3o7b4o42bo2bo$obobo11b2o4bo4bo26bo2bobob o7b4o$16b2o3bobo2bobo$22bo4bo4$o3bo2$o3bo8b2o35bobobo2bo3bo$12bo2bo6b obo$obobo6bo4bo5bo2bo28bo2bo3bo$11bo4bo4bo$4bo7bo2bo6bob2o24bobobo2bo bobo9b2o$13b2o8bo47bobo$4bo45bo10bo11bo$72b2o$50bobobo6bo3$obobo2$o2$ obobo7b6o$11bob4obo$4bo7b6o32bobobo2bobobo$12bo4bo$obobo45bo6bo3bo2$50b obobo2bobobo9b3o$72bobo$50bo3bo2bo3bo11b2o$74bo$23b2o8b2o15bobobo2bob obo$obobo17bobo3b2o3bobo$22b2o3b4o3b2o$o3bo7bobo13b2o$12b3o$obobo19bo 8bo$12b3o8b3o6b3o$4bo7bobo8b3o6b3o$24bo8bo$obobo$28b2o$22b2o3b4o3b2o$ 22bobo3b2o3bobo$23b2o8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 ]]

Oscillators appear in b35s236/D8_4_spaceinvaders_stdin. (click above to open LifeViewer)

Spaceships

x = 51, y = 7, rule = B35/S236 3bo7bo6bo7bo6bo11b2o$b2ob2o4bobo4bobo5b3o4b3o8b2o2b2o$o2bo2bo2bo3bo2b o3bo10bo3bo7bo4bo$obobobo4bo4bo3bo4bobo4bo2bo5b3o4b3o$3bo12bobobo5bo7b 2obo3bob2o2b2obo$bo3bo12bo18bo4bo6bo$bobobo11bobo4b2ob2o6bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]

Several small orthogonal spaceships (click above to open LifeViewer)

Infinite growth

x = 98, y = 91, rule = B35/S236 o5$66b3o$66bo$66b2o2bo$60b3o5bobo$60bob2o4b3o$59bo4bo17b2o$60bob2o11bo 7b2o$60b2o4bo8bo4bo2bo$65bobo6b3o3b3o$65bob2o5b3o4bo$64bo3bo5b3o$40b2o 22b2ob2o20b2o$42bo23bo21b3o$40b2obo33bobo9b2o$42bobo31bo2b2o10b3o$25bo bo14bobo32bobo11b3o$25bobo29b2o33bo$26b3o28b2o11b3o$29bo18b3o6bo11b2ob 2o$29b3o16b3o3b3o13bo2bo$29bo10b2o7bo4b2o14bo$30b2o7b3o24bo4b2o$38bo 26b4o$37bo27bo3bo$17bobo16bo28b2o2bo$17bobo15b2o4bo24b2o$15b2obo16b2o 3bo$17bo$15b2o56b3o$74bo$73b2o$6bo68b2o$5bobo76bo$4b2obo12b2o25b3o33bo bo$6bob2o10b3o10bo11b5o$7bo2bo9b2o11bo13b3o33b3o$8b2o22b3o49bo$8bo23b 3o$32b3o57bo2bo$14bo77bo2bo$15bo24bobo8b2o15b2o6bobo16b3o$13bo2bo22bo 2b2o6bo17b3o4bob2o13b3ob2o$15bo24bobo8b2o15b2o6bobo16b3o$14bo77bo2bo$ 92bo2bo2$12b3o69bo$14bo32b3o33b3o$10bo2b2o30b5o$10bobo34b3o33bobo$10b 3o71bo$75b2o$31b2o40b2o$31b3o40bo$34bo38b3o$34b2o$34b2o30b3o$19bo46bob o$18b3o4bo42bo$18b3o3bobo23bo2bo12b3o$23b2obo22bob2o13b2ob4o$25bob2o 20b2obo15b2o2bo$26bo2bo20b2o16b2ob2o$13bo13b2o21b2o5bo32bobo$12b4o11bo 16b3o8b2o33bobo$12b4o27b2ob2o5b2obo18bobo13b2o$10b2ob2o29bo2bo5b3obo 16bo2b2o8b2o$9b4o31bo10b2o18bobo11bo$10b3o27bo4b2o40b3o$10b2o27b4o$39b o3bo19b5o$39b2o2bo24bo11bobo$40b2o19bo3b3o6b3o2bo2bo$61bo3b2o7b3o3bo2b 2o$61bob2o9b3o$61bob2o10bo6bobo$61bobo5bo5bo7bo$62bo5bob2o$67bo$66bo$ 67bo$67bo4$97bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 HEIGHT 600 WIDTH 640 THUMBSIZE 2 ZOOM 6 GPS 17 AUTOSTART ]]

Period-68 gun for the glider 3736 (click above to open LifeViewer)

x = 114, y = 92, rule = B35/S236 52b2o$52b3o$51b3o$51b2o4$44b3o11b3o$43bo2bo11bo2bo$43b2o15b2o4$38bo$38b o$70b3o$39bo20b2o17bo$15b2o10b2o3b2o5b2o19b3o6bobobo3bo3bo11b2o$15bo12b 3o7b2o19b3o7bo7bobobo10bo2bo$15bobo11bo8bo20b2o9b3o4bo3bo10b5o7b3o$16b 2o61b2o12b3o7bo$103bobobo2$104b3o$11b3o97bo$10bo2bo88b3o4bo3bo$10b2o90b 3o4bobobo$102b3o4bo3bo$51b3o49bo6b2o$51b3o49bo$26b2o24bo$25bo2bo$25b5o $26b3o3$38b2o$37bo2bo28b2o3b2o35bo$9bo16bo10b5o28b3o37b3o$9bo15b3o10b 3o30bo37bob2o$24bob2o54b3o24bob2o$10bo13bob2o53b5o24b2o$10b2o13b2o54b o2bo$9b2o7bo31b3o29b2o$9bo7b3o30b3o$17b3o31bo2$57b2o$2bo53b3o26b2o$b3o 9b3o41b2o25b3o$2o3b2o4b5o69b3o$13b3o70b2o3$60b3o$78b3o$9bo17b2o30bobo bo13bobo$9b2o16bobo29bo18b3o14b3o11b3o$10b2o17bo30b3o14bo16bo17bo$10b o17b2o64bobobo9bobobo2$9bo85b3o11b3o$9bo2$46b2o$46b3o18b2o$45b3o19b3o 38bobo$11bo13bo19b2o20b2o38bobo$10b2o13b2o80b3o$9b2o15b2o79bobo$10bo15b o$102b2o$11bo13bo64b3o8bobo$11bo13bo35b2o19b2o5b5o7bo$60b3o18b2obo5bo 2bo7b2o$61b3o17b2obo6b2o$62b2o17b3o$82bo$12bo62bo$10bo3bo58bo3bo$10bo bobo47b2o9bobobo$10bo3bo46b3o9bo3bo$11b2o49b2o11b2o5$16b2o3b2o28bobo16b 3o$17b3o6b2o24bobo18bo$18bo7b4o22b3o14bobobo$27b3o22bobo$28bo41b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 HEIGHT 600 WIDTH 800 THUMBSIZE 2 ZOOM 6 GPS 17 AUTOSTART ]]

Period-408 gun (click above to open LifeViewer)

David Eppstein and Dean Hickerson proved that B35/S236 has a universal computer and universal constructor, using the same method of proof that John Conway used to prove that Life is universal.

See also

• Grounded Life, which has much more stable evolution despite the change in only one transition.

External links

• B35/S236 at Adam P. Goucher's Catagolue
• B35/S236 (discussion thread) at the ConwayLife.com forums