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	Exploding
Black/white reversal	B0124678/S014578

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 wide 2c/5 spaceship (click above to open LifeViewer)

B35/S236 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.

x = 4, y = 5, rule = B35/S236 bo$2bo$o2bo$2bo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 3 AUTOSTART TRACKLOOP 5 2/5 0/5 ]]

Common 2c/5o spaceship (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