Oscillators in Life-like cellular automata

Layz Boi · Post by **Layz Boi** » October 23rd, 2024, 8:41 am

Some small oscillators in a few miscellaneous rules. Period 2 oscillators omited for some. Many may already be known.

B3/S012: P(3-6, 8, 10)

Code: Select all

x = 120, y = 109, rule = B3/S012
57bo2bo10bobo22bo$6bobo40bo6bo4bo7bo5bo19bobo$18bobo16bo11bo6b6o6bo2b
obo2bo8bobo7bo2bo$9bo17bob2o16bobobo44b3o$16bobobobo13bobo6b2o2bo17bo
bobobobobo5bo5bo$6bobo36bobobo34b5o7b3o$16bobobobo4b5o4bobo4bobobo19b
obobobobobo6bo3bo6bo2bo$9bo17bo3bo11bobobo8b6o33bobo$18bobo7bobo6bo18b
o4bo6bo2bobo2bo8bobo8bo$6bobo48bo2bo8bo5bo$71bobo8$103bobo2$19bo54bo26b
7o5b2o3b2o$5bo3bo7b3o14bo39bo7b2ob2o28bobo$16bob2o2bo4b2o4bo13bo4bo19b
obobo4bobobobo15b3o9bobo$5bo3bo8b2o9bo3bobo5b2o4b2o2b2o3bo6bo5b2o3bob
o6bobo7bo11bo9bobo$18b2o8b2o10bobo5bo2bo4bobo2bobo4bobobobo5bobo3bobo
4bob2o5bobo8b3ob3o$6bobo7bob2o2bo4bo5bobo5bo6bo2bo6b4o6bobobobo20bobo
4bo$18b2o7b2o6bo3bo7b2o2b2o5bo2bo8bo9bobo3bobo6bobo5bobo7b3ob3o$9bo8b
2o14bo12bo4bo17bo12bobo10bo16bo5bo$16bob2o2bo58bobobobo13b7o6b2ob2o$9b
o7b3o62b2ob2o$19bo83bobo9$6bobo$16b2o2bobo2b2o$5bo10bo2bo3bo2bo$18bob
obobo$6bobo$18bobobobo$9bo6bo2bo3bo2bo$16b2o2bobo2b2o$6bobo11$38bobo$
6bobo7b2o5b2o7bobobobobobobobo$19bobo10bobobobobobobobo$5bo24bobo3bob
obobo3bobo$17bobobobo8bobobobobobobobo$6bobo21bobo13bobo$17bobobobo8b
obobobobobobobo$5bo3bo20bobo3bobobobo3bobo$19bobo10bobobobobobobobo$6b
obo7b2o5b2o7bobobobobobobobo$38bobo10$47b2o$6bobo17b2o8bo9b2o$16bo3bo
17bo6bo4bo$5bo3bo10bo5bo7bo2b2o5b2o3b2o$18b2o10bo5bo7bo4bo$6bobo9bo9b
obo4b2o10b2o$16b2o2bo25b2o$5bo3bo2$6bobo7$41bo3bo$25bo3bo11bo3bo$25bo
3bo10bobobobo$o5bobo15bobobobo$16bo21bo9bo$bo3bo3bo6bo19b2o4bobo4b2o$
15bobo5bo2bobo2bo6bo2bo3bo2bo$bo3bo3bo$23bo2bobo2bo6bo2bo3bo2bo$bo3bo
3bo6bo19b2o4bobo4b2o$38bo9bo$bo4bobo15bobobobo$25bo3bo10bobobobo$25bo
3bo11bo3bo$41bo3bo!

B3/S1234: P(2-11, 13, 15, 16, 20)

Code: Select all

x = 214, y = 176, rule = B3/S1234
147bo13b2o4b2o$135bo11bo12bobo4bobo$135bo8b2obob2ob2o8bob2obo$2b2o23b
2o89b2o8bo2bobob2o7b2obo2bob2o8bo4bo$4bo7bo14bobo83bo3bo2bo7b4obo13bob
2o10b2o4b2o$4bo8bob2o7b2obo85bo3bo2bo10b6o7b12o7bo2bo$2b2o10b3o7b4o84b
3o15bo13bob2o2bo10b3o2b3o$bo11b3o9bo87bo3bo2bo9bo16bo2b2obo9bo2bo$bo
11b2obo5b4o87bo3bo2bo10b6o5b12o7b3o2b3o$2b2o13bo4bo95b2o8b4obo13b2obo
11bo4bo$23bo104bo2bobob2o7b2obo2bob2o8bob2obo$135bo8b2ob2obob2o6bobo4b
obo$135bo14bo10b2o4b2o$150bo2$78bo8bo$77bo2bo7bo$60bo15bob5o2b3obo$11b
o31b2o10b2ob3o17bo3bo2bobo$11b3o8bobobo9b2o5b2o9bo6b2o3b2obob2o5b2o4bo
2b2o$2b2o10bo7bobobo8bobo6bob2o6bo3bo2bo4b2obob2o7bobo4bo$4bo6b2obo5b
2o2bo2b2o6bo2b2o4bo14bobo22bob2o75b2obo2bob2o11bo5bo13b2o$4bo28b2o5bo
13bobo9b2o3b2o5b2obo65bo16bobo2bobo10b5ob5o10bo5bo$2b4o14b3o3b3o4bo5b
2o6bo6bo2bo3bo16bo4bobo45bo4bo10bo3bo10bo10bo7bo11bo9bob3o2bo$4bo6b2ob
o19b2o2bo5b2obo5b2o6bo4b2obob2o4b2o2bo4b2o42bo2b2o2bo6b2obob5o6bo2b3o
4b3o2bo5bo2bo2bo2bo2bo6b2obob2ob3o$4bo9bo5b2o2bo2b2o7bobo8b2o6b3ob2o5b
2obob2o5bobo2bo3bo42b3o2b3o6bo2b2o4bo6b2obo2b4o2bob2o4b2obob2ob2obob2o
4bobob2o2b2o$2b2o7b3o8bobobo9b2o9b2o6bo20bob3o2b5obo23bo6bo12bo9b2obo
4bo11bo2bo2bo2bo8bo2bo5bo2bo7b2o6b4o$11bo10bobobo50bo7bo2bo24bo6bo7b
10o6bo2bob2ob4o4b2o2b2o4b2o2b2o5bo2bo5bo2bo6bobo2b2o2bo3bo$78bo8bo24b
3o4b3o7bo6bo7bo2bo4bo11bo6bo11bo7bo8b2o2bo2bo2b2obo$113bo6bo8bo6bo8bo
4bo2bo10bo6bo9bo2bo5bo2bo4bob2o2bo2bo2b2o$113bo6bo7b10o4b4ob2obo2bo6b
2o2b2o4b2o2b2o5bo2bo5bo2bo4bo3bo2b2o2bobo$133bo12bo4bob2o8bo2bo2bo2bo
7b2obob2ob2obob2o4b4o6b2o$130b3o2b3o6bo4b2o2bo6b2obo2b4o2bob2o5bo2bo2b
o2bo2bo9b2o2b2obobo$130bo2b2o2bo6b5obob2o6bo2b3o4b3o2bo5bo11bo7b3ob2ob
ob2o$131bo4bo9bo3bo11bo10bo8b5ob5o8bo2b3obo$50bo26bo72bo13bobo2bobo12b
o5bo11bo5bo$21b2ob2o23bobo7bo4bo7b2ob3o85b2obo2bob2o33b2o$11bobob2o5bo
bobo22bobo6bo2b2o2bo8b2o$bo2bo6bobobo5b2obo8bo14b2ob3o4b3o2b3o4b4o2b4o
$bo2bo7bo2bo5bo2bo6b5obo12bo3bo5bo2bo$2b4o29bobo8bo4b3o4b3o2b3o6bo4bo$
4bo26b2o4bobo4b3o4bo8bo2bo8bo4bo$4bo7bo2bo5bo2bo12b2o4bo3bo10b3o2b3o
69b2o$11bobobo5b2obo6b2obobo7b3ob2o8bo2b2o2bo4b4o2b4o52bo6bo$11bobob2o
5bobobo4b2obobo9bobo10bo4bo9b2o56b8o12b2o2b2o14b2o$21b2ob2o20bobo23b3o
b2o73bob4obo8b2obo4bob2o$47bo24bo45b2o8bob5o2b5obo4bo2bobo2bobo2bo5b2o
bob2obob2o$113bo6bo7bobo10bobo4b4ob4ob4o8bob2obo$113bo6bo9bobo6bobo11b
o2bo10b12o$112b3o3b4o8b3o6b3o8bob2o2b2obo$80bobo2bobo25bo6bo29bob2o2b
2obo$38b2o26bo13bob4obo25bo6bo9b4o4b4o11bo2bo10b12o$14bo9bo28b2obob2o
7bo11b2obo2bob2o29b2o10bo10bo6b4ob4ob4o8bob2obo$14bo9bo13b4o10bobobob
2o4b4o10bo2b2o2b2o2bo39b2obobo2bobob2o5bo2bobo2bobo2bo5b2obob2obob2o$
2b2o9b3o5b2obob2o12bobo11bo2bo10b2o6b3o10b3o37b2obobo2bobob2o8bob4obo
8b2obo4bob2o$bo10bo3bo7bobo9b3ob3o11b2o2b2o6bobobo8bo2b4o2bo45b4o14b2o
2b2o14b2o$bo10b5o4b6o9bo2bo2bobo4bo2bobobo9b5o5b4ob6ob4o42bo2bo$2b2o
18bo9bobobo3bobobo3bo6b5o17bo3b2o2b2o3bo$4bo17bo9bobo2bo2bo7b5o6bo17bo
3b2o2b2o3bo$4bo7b5o4b6o7b3ob3o10bobobo2bo7b5o5b4ob6ob4o$2b2o8bo3bo7bob
o7bobo11b2o2b2o12bobobo8bo2b4o2bo$13b3o5b2obob2o7b4o11bo2bo14b2o6b3o
10b3o$14bo9bo23b2obobobo8b4o10bo2b2o2b2o2bo$14bo9bo12b2o9b2obob2o12bo
11b2obo2bob2o$66bo13bob4obo$80bobo2bobo3$130bobo2bobo$130bob4obo$129b
2obo2bob2o$118b2o11bo4bo$113bo3bo11b3o4b3o$113bo3bo13bo4bo$18bo8bo5b2o
77b3o3b2o11bo4bo$18bo7bo8bo5bob2ob2obo7bobo8bobobobo8bobo2bobo22bo6bo
8b3o4b3o$15b2obobo4bob3ob4obo4b2o5b2o7bob3o6bobobobo8bobo2bobo22bo6bo
10bo4bo$15bob2obo4bobob3o2bo7bob3obo6bobobo7b2o5b2o42b2o9b2obo2bob2o$
12b2obo3bo7bo5b2o7b4ob2o6bobo2b2o6b7o6b4o4b4o37bob4obo$13bo13b2o4bo20b
2o12bo5bo55bobo2bobo$13bo14bo4b2o20bob2ob2o4bobo5bobo6bo6bo$12b2obo3bo
7b2o5bo7b4ob2o6bobobo7b2o5b2o7bobo2bobo$15bob2obo6bo2b3obobo5bob3obo8b
ob3o6bobobobo7b2obo2bob2o$15b2obobo4bob4ob3obo4b2o5b2o7bobo8bobobobo8b
o6bo$2b2o14bo7bo8bo5bob2ob2obo33bo6bo$bo16bo8b2o5bo$bo130bo2bo$4o128b
4o$bo2bo113b2o9bo8bo$bo2bo60b2o46bo3bo11b4o2b4o$2b2o12b2o29b2o2bo11b6o
44bo3bo14bo2bo$28bo2bobobob2o7bo5bo9bo6bo13bo28b3ob4o9b4o2b4o$16b4obo
6b4obobobo6bo3b4o9bobo2b2o2bo6b2obo2bo2bob2o23bo3bo2bo7bobobo2bobobo$
15bo3bobo13bobo5bob3o3bobo6bo2bo4b2obo6bobo5bobo24bo3bo2bo7bobob4obobo
$12bobobo4bobo4b3o6b2o6bo5bo2bo5bobo8bo6bo9bo29b2o10bob4obo$12bobo5bob
o22bo6bobo4b2obo8b2o4b3o7b3o40bobo2bobo$14bo5bo7b2o7b2o4bobo6bo6b2o8bo
b2o8bo3bo46b4o$14b2o4bo22bo2bo5bo7bo8bobo5b3obobobob3o42bo2bo$17b3o8b
2o6b3o5bobo3b3obo5bob2o4bo2bo7bob5obo$14b3o12bobo14b4o3bo7bo2b2o2bobo$
17bo11bobobob4o6bo5bo10bo6bo13bo$16bo11b2obobobo2bo7bo2b2o12b6o14bo50b
2o$65b2o$130bob6obo$130bobo4bobo$111b2o5b2o8b3o8b3o$113bo3bo2bo6bo3b2o
4b2o3bo$113bo3bo2bo8b12o$111b2o$110bo6bo2bo$110bo6bo2bo8b12o$111b2o5b
2o7bo3b2o4b2o3bo$128b3o8b3o$71bobo2bobo51bobo4bobo$18bo52bob4obo51bob
6obo$18bo24b2o10bo4bo9b2obo2bob2o$16bobobo19bo5bo8bo4bo8bobob4obobo53b
2o$2b2o12b5o9b2ob2o5b6o7bobob2obobo4b4ob6ob4o$4bo9b2o5b2o8bobo9bob4o4b
ob6obo8bobo2bobo$4bo10bo5bo7bo5bo4b2o3bo8b2o4b2o5b6o4b6o$3b3o6b4o5b4o
4b2obob2o9b2o21bob2o6b2obo$4bo10bo5bo10bo12b2o21bob2o6b2obo$4bo9b2o5b
2o6b2ob4o4b2o3bo8b2o4b2o5b6o4b6o$16b5o8b2obo2bo7bob4o4bob6obo8bobo2bob
o$16bobobo19b6o7bobob2obobo4b4ob6ob4o$18bo21bo5bo8bo4bo8bobob4obobo$
18bo24b2o10bo4bo9b2obo2bob2o$71bob4obo$71bobo2bobo7$19b2o$18bo4bo$15bo
bob5o$15bobo2bo16b2o2bo$12b2obob2obob4o7b2obobo2bo5b2obo2bob2o21bo2bo$
2b2o9bobo2b4o11b2obob2ob2o5bob4obo7b2o2b2o9b4o$bo2bo8bo2b3ob2ob3o9bobo
3bo6bobo2bobo10bo2bo6b2o4b2o$bo2bo6bob5o3b3o2bo6b2o3b2obo21b3o2bobo7bo
2bo$6o5bobo2bo5bo2bobo4bo2bo3bo6b5o2b5o5bobo4bo4bob6obo$bo2bo7bo2b3o3b
5obo4b3obo2bo9bob2obo7b2ob2o2bo5b2o6b2o$bo2bo8b3ob2ob3o2bo8bob3o9bobo
2bobo7bob4o7bo6bo$2b2o13b4o2bobo22b3o2b3o7bo4bobo5bobo2bobo$13b4obob2o
bob2o5b5o27b5obo4b4o2b4o$18bo2bobo10bo15b4o12bo8bo8bo$15b5obobo26bo2bo
24b4o$15bo4bo57bo2bo$18b2o9$20b2o28bo6bo$48b5o2b5o11bo3bo$18b4o12bob2o
bo7bo4bo2bo4bo9bobobo$17bo4bo11bob2obo7bo2b2o4b2o2bo11bobobo$2b2o13b6o
9b3o4b3o4b2obobo4bobob2o9bo2bobo$bo2bo10b2ob4ob2o11b2o9bob2obo2bob2obo
6bo6b2ob2o$bo2bo7bobob2ob2ob2obo6b10o5b2o2bo4bo2b2o5bo2bo6bo3bo$2b4o6b
obob3o2b3obo7bob4obo26b2o4bo2b4o$4bo9bob3o2b3obobo5bob4obo31bobo$4bo9b
ob2ob2ob2obobo4b10o5b2o2bo4bo2b2o6b4o2bo4b2o$2b2o11b2ob4ob2o11b2o9bob
2obo2bob2obo5bo3bo6bo2bo$17b6o9b3o4b3o4b2obobo4bobob2o6b2ob2o6bo$17bo
4bo11bob2obo7bo2b2o4b2o2bo9bobo2bo$18b4o12bob2obo7bo4bo2bo4bo9bobobo$
48b5o2b5o12bobobo$18b2o30bo6bo13bo3bo!

B3/S1237: P(2-11, 13, 16-18)

Code: Select all

x = 196, y = 158, rule = B3/S1237
161bo4bo$160bobo2bobo$133bobo11bobo10bob4obo$ob2o14b2o16bo77b2o5b2o10b
2obobobobobobob2o8bobobo2bobobo$obobo13bobo16bo81bo3bo12bobobobobobo
11bobob4obobo$4bo11bobo9bo5b3o6bo70b2o3b2ob2o9b2o5bobo5b2o6bobob2o4b2o
bobo$3bo11bo2bo6b2obo13bobo92b3o3b3o10bob3o6b3obo$2bo39b2obo68b2o3b2ob
2o9b2o3bo5bo3b2o5b2o14b2o$bo11b4o8b2obo5b3o7bobo109bob3o6b3obo$o12bo
14bo8bo6b2o68b2o3b2ob2o9b4o9b4o6bobob2o4b2obobo$obobo9bo21bo82bo3bo34b
obob4obobo$b2obo109b2o4b2o11b2o13b2o8bobobo2bobobo$160bob4obo$160bobo
2bobo$161bo4bo7$ob2o11b2o$2o2bo9bo2bo$3b2o9b3o5b2o$22b3o$b4o19b3o111b
2o12b2o2b2o$14b3o8b2o133b2o$3b2o9bo2bo118b6o8b8o2bo$2o2bo10b2o97b2o6b
2o18bo15bobo$ob2o130b7obo9b3o3bo$114b2o6b2o13b3o2bobo7bob3obo$134b2o6b
obo8bo2b2o$114b2o6b2o2$114b2o6b2o10b2o6bobo8bo2b2o$137b3o2bobo7bob3obo
$114b2o6b2o10b7obo9b3o3bo$142bo15bobo$136b6o8b8o2bo$2ob2o10bo21b2o121b
2o$15bo8b2ob2o7bo2bo98b2o12b2o2b2o$2ob2o8bobob2o4bo4bo9bo9bo10bobo$13b
obo8bo2bo6bo3bo2bo7bobo7bobo$5o10b2o16bo5b2obo4bobobo5bobo$o12bobo17bo
b2o5bo4bo9bo$3b2o8bobob2o5bo2bo6bo2bo3bo10bo5bo98bo2bo2bo$15bo7bo4bo8b
o10b2obo8b2o93b3o2bo2b3o$3b2o10bo8b2ob2o7bo2bo141bo3bobo3bo$37b2o114b
15o12bo4bobo4bo$152bo15bo11b4obobob4o$152bo2bo2b2ob2o2bo2bo9b2o5bobo5b
2o$136b2o2b2o8bobobo2b2o3b2o2bobobo6bobo2b2obobob2o2bobo$114b2o3bob2o
27bobo5b2ob2o5bobo8bobobobobobobobo$119b2o2bo10b4o2b4o5b2obo2bo3b3o3bo
2bob2o7bob2obo3bob2obo$42bo20bo25bo24b2o6b2o9bo10bo7bob3o3bo3b3obo14bo
5bo$31bo10bo12bo7b3o9b2ob2o9bo43bob2o4b2obo7bobob2o5b2obobo8b6o7b6o$
32bo22bo31bobob2o21b2o4b4o8b2o10b2o3b2obo4b2o3b2o4bob2o$b2obo10bobo8bo
2b4o32b3o5bo2b3o2bo5bobo3bo39bobobo2bobobo7bobob2o5b2obobo8b6o7b6o$o2b
2o10bobo8bo26b5o6bo3bo4bobo3bobo8b4o20b2o6b2o9bo3bo2bo3bo7bob3o3bo3b3o
bo14bo5bo$2o15bobo10bo7b9o9bobo5b5o6bo3bo39b2o2bo10b3o4b3o5b2obo2bo3b
3o3bo2bob2o7bob2obo3bob2obo$12b2o5bo10bo7b9o5bobo2b3o5b3o5bobo3bobo32b
2o3bob2o27bobo5b2ob2o5bobo8bobobobobobobobo$2o16bo7bo25bobo2b3o5b3o5bo
2b3o2bo8b4o40b3o4b3o6bobobo2b2o3b2o2bobobo6bobo2b2obobob2o2bobo$3bo8b
3o11bo11b9o9bobo5b5o18bobo3bo42bo4bo10bo2bo2b2ob2o2bo2bo9b2o5bobo5b2o$
4bo11bo13bo7b9o6b5o6bo3bo6b2ob2o7bobob2o59bo15bo11b4obobob4o$obobo9b2o
8b4o2bo34b3o21bo63b15o12bo4bobo4bo$ob2o20bo30bo33bo91bo3bobo3bo$25bo
29bo7b3o89b3o2bo2b3o$42bo20bo93bo2bo2bo$42bo4$60bo79bo$14b2obob2o7b2ob
2o9bo17b3o10bo64b5o$13bobobobobo5bo5bo9bo8bo18b3o2bobobo52bo2bo7bo2bo$
b2obo10bobobo7bo5bo6b4o8bo2b2ob3o15bobobo33b2o4b2obo9b4ob2ob2ob4o$o2b
2o10b5o7bo5bo5bo11b2obob3o2bo9b3o3b2ob2o37bo2b2o15bobo$2o25b3ob3o5bo2b
4o8bo5b2o11bo40b2o3b2o12b2ob3o3b3ob2o$28bo3bo9bo11b2o4bo10b2o61bobo7bo
bo$4o24bo3bo9b4o9bo4b2o17b2o33b2o3b4o11bo4bobo4bo$4bo22b3ob3o8bo11b2o
5bo16bo44bo8bob3o7b3obo$2ob2o10b5o7bo5bo5bo2b4o8bo2b3obob2o5b2ob2o3b3o
33b2o3b2ob2o8bo15bo$o14bobobo7bo5bo5bo15b3ob2o2bo7bobobo43bo13b7ob7o$b
ob2o8bobobobobo5bo5bo6b4o19bo7bobobo2b3o33b2o4bob2o$14b2obob2o7b2ob2o
10bo9b3o22bo56bob7obo$42bo12bo79bobo2bo2bobo7$16bo2bo$ob2o12b4o$2o2bo
8bo8bo$3b2o8b4o2b4o$16bo2bo113bobobobobobobobo$b4o8b4o2b4o110bobobobob
obobobo$12bo2bo4bo2bo107b2o4bobobobo4b2o$b2o9bob2o4b2obo113bobobobo$
14bo6bo109b2o4b2o3b2o4b2o$b2o11bobo2bobo92b2o3bob2o14b3ob3o$15bo4bo98b
2o2bo7b6o2bobo2b6o$114b2o6b2o11b2o2bobo2b2o$131b4ob3o3b3ob4o$114b2o4b
4o$131b4ob3o3b3ob4o$114b2o4b2o13b2o2bobo2b2o$131b6o2bobo2b6o$114b2o4b
2o15b3ob3o$131b2o4b2o3b2o4b2o$137bobobobo$131b2o4bobobobo4b2o$66bo66bo
bobobobobobobo$17bo31bo16bo66bobobobobobobobo$17bo29b3o36bo4bo$14bo49b
5o17bo4bo$14b6o27b3o13bo5bo14bobob2obobo$20bo10bobo9b2obobobob2o10b2ob
2o15bobo4bobo$bobo10b2o2b2obob2o6bobo10bob2ob2obo8bo2b2ob2o2bo9b2obobo
4bobob2o$o3bo8bo2bo2bobobo9bobo8bobobobobo7bob2o2bo2b2obo11bobo4bobo$
2ob2o7bob2o2bobo2bo8b2obo11b3o10bob2o5b2obo11bo3b2o3bo$12bobobo6bob2o
5b2obobo10bo8b2obo3bo3bo3bob2o$5o4b2obo6bobobo9bobobo10bo11bob2o5b2obo
11bo3b2o3bo$12bo2bobo2b2obo8b2obo11b3o10bob2o2bo2b2obo11bobo4bobo$2ob
2o7bobobo2bo2bo10bobo8bobobobobo8bo2b2ob2o2bo9b2obobo4bobob2o$o3bo6b2o
bob2o2b2o9bobo10bob2ob2obo11b2ob2o15bobo4bobo39bo3b2o2b2o2b2o$bobo11bo
15bobo9b2obobobob2o9bo5bo14bobob2obobo39bo$16b6o25b3o14b5o17bo4bo39bob
ob14o$21bo64bo4bo39bobo$18bo28b3o16bo47b2o4bobo10bob5ob4obo$18bo30bo
16bo52bo3bo9bobobobobo2bobo$114b2o3b2ob2o7bobobob2o3b3obobo$131bobob2o
5bobobobo$114b2o3b5o9bo9b2obo$133bob2o9bo$114b2o3b2ob2o7bobobobo5b2obo
bo$119bo3bo7bobob3o3b2obobobo$114b2o4bobo10bobo2bobobobobo$48bobo5bobo
74bob4ob5obo$48bobo5bobo87bobo$32bo17bobobobo74b14obobo$29bobo17b2obob
ob2o88bo$29bobobobo8b2o4bobobobo4b2o70b2o2b2o2b2o3bo$15b2o16bobo11bo3b
2ob2o3bo$2obo10b4o8b2o2b2ob2ob2o6b5o2b2ob2o2b5o$4bo8bob2obo10bo2b2obo
13b2o5b2o$2ob2o8bo4bo7b2obo4b4o8b5o5b5o$o14b2o8bo4bo3bo4bo$b4o6b10o6b
4o4bob2o7b5o5b5o$29bob2o2bo13b2o5b2o$3b2o8b2o2b2o8b2ob2ob2o2b2o5b5o2b
2ob2o2b5o$2bobo24bobo15bo3b2ob2o3bo$2b2o25bobobobo8b2o4bobobobo4b2o$
33bobo13b2obobob2o$32bo17bobobobo$48bobo5bobo$48bobo5bobo!

B368/S4567: P(3-17, 19, 21, 24, 26, 27, 30, 44)

Code: Select all

x = 301, y = 217, rule = B368/S4567
5bo109bobo13bo$4b3o109bo13b3o$obo2bo2bobo104bobo8bobo2bo2bobo85bobo13b
o$bo7bo102bo14bo7bo14b2o30bo40bo13b3o26bo12bo$obo5bobo31bob2obo63b3o
12bobo5bobo13b2o15b2o13bo14bo24bobo8bobo2bo2bobo22b2o3bo2bo3b2o$22b2o
18b6o64bo2bobo30bob2obo11b6o10b3o11b3o21bo14bo7bo21b2ob5o2b5ob2o8bo7bo
$8bobo10b4o15b4o2b4o66bo32b4o11b8o8b5o9b5o19b3o12bobo5bobo21b7o2b7o9b
4ob4o$9bo11b4o16b8o66bobo8bobo5bobo10bob4obo8b3ob2ob3o5bo2b3o2bo8b7obo
15bo2bobo41b2o2b6o2b2o9b11o$8bobo8b3o2b3o7b2o5b3o2b3o78bo7bo9bo2b2o2b
2o2bo7b2ob2ob2o7b3ob3o8b3o2bob4o18bo9bobo5bobo22b2o2b2o2b2o2b2o8b2obob
obobob2o$4bobo11b3o4b3o6b2o6b6o78bobo5bobo9b4o2b4o8b8o7b2o3b2o8bob9o
17bobo9bo7bo9bo3b2o8b4o6b4o8bo2bobobobo2bo$5bo12b3o4b3o5b4o6bo2bo68bob
o25b5o6b5o3bo3bo2bo3bo4b4ob4o7b3obobob4o27bobo5bobo7b2o2b3o7b5o6b5o7b
13o$4bobo12b3o2b3o6b4o6bo2bo69bo9bobo5bobo6b5o6b5o3bo3bo2bo3bo4b4ob4o
6b2ob2ob2ob2o33bobo11b8o9bo8bo11bob2obob2obo$8bobo10b4o9b2o6b6o67bobo
9bo7bo10b4o2b4o8b8o7b2o3b2o5b4obobob3o19bobo13bo11b4o2b2o10bo8bo11bob
2obob2obo$9bo11b4o16b3o2b3o77bobo5bobo8bo2b2o2b2o2bo7b2ob2ob2o7b3ob3o
6b9obo20bo13bobo12b2o2b4o5b5o6b5o7b13o$8bobo11b2o17b8o66bobo29bob4obo
8b3ob2ob3o5bo2b3o2bo5b4obo2b3o19bobo16bobo7b8o7b4o6b4o8bo2bobobobo2bo$
40b4o2b4o66bo32b4o11b8o8b5o8bob7o40bo9b3o2b2o7b2o2b2o2b2o2b2o8b2obobob
obob2o$obo5bobo31b6o67bobo8bobo5bobo11bob2obo11b6o10b3o14b5o19bobo16bo
bo8b2o3bo8b2o2b6o2b2o9b11o$bo7bo32bob2obo79bo7bo14b2o15b2o13bo16b3o21b
o41b7o2b7o9b4ob4o$obo2bo2bobo104bobo8bobo2bo2bobo13b2o30bo16bo22bobo
16bobo20b2ob5o2b5ob2o8bo7bo$4b3o109bo13b3o109bo23b2o3bo2bo3b2o$5bo109b
obo13bo90bobo13bo2bobo22bo12bo$223bo13b3o$222bobo13bo6$obo5bobo104bobo
12bobo$bo7bo106bo14bo$obo5bobo104bobo12bobo90bo13bobo$112bo14bo94b3o
13bo$obo5bobo33b2o65b3o12b3o54bo3bo14bobo13bobo2bo2bobo8bobo$bo7bo11bo
22b4o9b3o52bo2bobo9bo2bobo16bo14b2ob2o15b3o15b3o14bo7bo6bo36b2o$obo5bo
bo8bob3o9b2o9b3obo9b5obo51bo14bo16b3o12b2o3b2o13b5o12b3ob3o11bobo5bobo
4b3o35b2o$19b7o7b2o8b2o3b4o5b8o50bobo12bobo14b7o8b4ob4o9b11o8b2obobob
2o26bo2bobo30b4o$obo5bobo7b7o7b4o6bo6b3o5b3ob4o81bo2b5o7b3ob3ob3o8b2o
2bobo2b2o8bo2b3o2bo18bobo9bo17b3o10b2o2b2o$bo7bo8b3o2b4o4b2o2b2o5b2o5b
2o6b2o3b2o81b2o2b2ob2o7bob3ob3obo8b4o3b4o6b6ob6o17bo9bobo16b3o9b8o$obo
2bo2bobo6b4o2b3o5b2o2b2o4b3o6bo5b4ob3o51bobo12bobo11b5o2b4o9bo3bo11b3o
5b3o7bo2bo3bo2bo17bobo25b3ob3o7bobo2bobo$4b3o12b7o6b4o5b4o3b2o6b8o52bo
14bo13b4o2b5o5bob3ob3obo8b4o3b4o6b6ob6o12bobo28b2ob3ob2o5b10o$5bo12b7o
8b2o9bob3o7bob5o52bobo12bobo13b2ob2o2b2o6b3ob3ob3o8b2o2bobo2b2o8bo2b3o
2bo15bo13bobo12b5ob5o5b2ob2ob2o$8bobo9b3obo8b2o10b4o12b3o82b5o2bo8b4ob
4o9b11o8b2obobob2o14bobo13bo14b3o3b3o7b2o2b2o$9bo12bo24b2o66bobo12bobo
13b7o10b2o3b2o13b5o12b3ob3o30bobo12b5ob5o5b2ob2ob2o$8bobo105bo14bo17b
3o12b2ob2o15b3o15b3o14bobo31b2ob3ob2o5b10o$115bobo12bobo17bo32bo3bo14b
obo15bo16bobo14b3ob3o7bobo2bobo$8bobo208bobo16bo17b3o9b8o$9bo105bobo
12bobo104bobo16b3o10b2o2b2o$8bobo105bo14bo138b4o$115bobo12bobo86bo3bo
3bo9bobo31b2o$218b3ob3ob3o9bo32b2o$219bo3bo3bo9bobo6$bo3bo3bo105bobo
13bo$3ob3ob3o105bo13b3o$bo3bo3bo105bobo8bobo2bo2bobo86bo9bobo5bobo$
112bo14bo7bo86b3o9bo7bo$111b3o12bobo5bobo51bo29bobo2bo2bobo4bobo5bobo
13bo$obo109bo2bobo53bo15b4o28bo7bo25bo2b2o$bo29b2o27bobo53bo17bobo32bo
bobo6bo3b4obo28bobo5bobo4bobo5bobo10b4o$obo26bo4bo9bo3bo6bo3b5o51bobo
17bo33b5o6b5ob4o44bo7bo11b5o$17b5o6b3o2b3o7b3ob3o4b3o2b4o71bobo10bo9bo
b2obo4b4ob4o3b2ob5ob2o36bobo4bobo5bobo9b3ob2o$17b5o6b3o2b3o7b7o5b7o68b
obo14b3o6b7o6b2ob2o6b3ob2ob4o36bo24b5ob2o$bo3bo10b3ob3o5b2o4b2o7b2obob
2o4b4obobo53bobo13bo14b3ob2o5bob4o7b3o8b3ob4obo35bobo4bobo5bobo11b5o$
3ob3o11b3o6b4o2b4o7b2ob2o6b4ob4o52bo13bobo13b2ob3o4b4ob3o3bo3bo3bo5bob
4ob3o31bobo9bo7bo14b5o$bo3bo2bobo5b3ob3o4b4o2b4o6b2obob2o7bobob4o50bob
o30b3o5b3ob2o5bo3bo3bo5b4ob2ob3o31bo9bobo2bo2bobo15b5o$9bo7b5o6b2o4b2o
7b7o7b7o63bobo20bo6b4o9b3o9b2ob5ob2o29bobo12b3o19b2ob5o$8bobo6b5o6b3o
2b3o7b3ob3o6b4o2b3o50bobo10bo27b4o9b2ob2o8b4ob5o46bo21b2ob3o$28b3o2b3o
8bo3bo6b5o3bo52bo10bobo29bo7b4ob4o6bob4o3bo27bobo19bobo16b5o$8bobo18bo
4bo21bobo56bobo51b5o7b4o35bo21bo18b4o$9bo21b2o136bobobo9bo35bobo19bobo
17b2o2bo$bo3bo2bobo104bobo9bo3bo3bo35bo89bo$3ob3o109bo9b3ob3ob3o104bob
o$bo3bo109bobo9bo3bo3bo83bo3bo3bo14bo$218b3ob3ob3o12bobo$219bo3bo3bo6$
5bo3bo105bobo13bo$4b3ob3o82bo2b2o2bo15bo13b3o$obo2bo3bo42bo3bo34b3o6b
3o12bobo8bobo2bo2bobo12bobo4bobo64bo14bo3bo$bo16b2ob2o28b7o8bo10bob2ob
o7b2ob2o4b2ob2o8bo14bo7bo11bob3o4b3obo61b3o12b3ob3o$obo14b7o8b2o18b5o
7b3o8bob6obo5bob10obo7b3o12bobo5bobo11b5o2b5o58bobo2bo2bobo4bobo2bo3bo
$17b7o8b3o16b3ob3o5b2ob4o6b2ob2ob2o5b4ob6ob4o7bo2bobo28b7o2b7o57bo7bo
6bo$obo28b5o4b3ob3o3b2obobob2o4b8o3b3ob4ob3o5b3o2b2o2b3o13bo17bobo10b
3o2b4o2b3o57bobo5bobo4bobo$bo28b2ob3o5b5o5b7o5b2obobobo4bobob2obobo7b
2o6b2o13bobo17bo10b4o2bo2bo2b4o$obo25b3ob2o8bobo9bo6b5ob5o2b5o2b5o3bo
2b3o4b3o2bo29bobo11b12o66bobo4bobo18b4o$4bobo21b5o8b5o8bo7bobobob2o4b
5o2b5o3bo2b3o4b3o2bo25bobo17bobo2bobo69bo6bo18b6o$5bo23b3o8b3ob3o4b7o
4b8o5bobob2obobo7b2o6b2o13bobo13bo18bobo2bobo68bobo4bobo18b4o$4bobo10b
7o6b2o18b2obobob2o4b4ob2o4b3ob4ob3o5b3o2b2o2b3o13bo13bobo15b12o62bobo
12bobo15b2o$obo5bobo6b7o27b3ob3o8b3o7b2ob2ob2o5b4ob6ob4o10bobo16bobo9b
4o2bo2bo2b4o61bo14bo16b2o$bo7bo8b2ob2o29b5o9bo8bob6obo5bob10obo31bo11b
3o2b4o2b3o61bobo12bobo14b4o$obo5bobo40b7o19bob2obo7b2ob2o4b2ob2o11bobo
16bobo9b7o2b7o71bobo5bobo9b6o$52bo3bo34b3o6b3o13bo31b5o2b5o59bobo12bo
7bo11b4o$obo5bobo82bo2b2o2bo14bobo8bobo5bobo10bob3o4b3obo59bo12bobo5bo
bo$bo7bo117bo7bo13bobo4bobo60bobo$obo2bo2bobo104bobo8bobo2bo2bobo96bob
o5bobo$4b3o109bo13b3o101bo7bo$5bo109bobo13bo87bo3bo3bo5bobo2bo2bobo$
218b3ob3ob3o8b3o$219bo3bo3bo10bo6$bo3bo3bo105bobo8bobo5bobo$3ob3ob3o
105bo10bo7bo$bo3bo3bo105bobo8bobo5bobo86bo10bo3bo3bo$40b2ob2o6bo3bo56b
o109b3o8b3ob3ob3o$20bo8b2ob2o5b3ob3o5b5o55b3o12bobo5bobo81bobo2bo2bobo
5bo3bo3bo$8bobo9bo7b3ob3o4b7o4b7o55bo2bobo9bo7bo83bo7bo$9bo9b3o6b7o3b
4ob4o4b2ob2o60bo9bobo5bobo16bo2bo61bobo5bobo47bo$8bobo7b5o4b4ob4o4b2ob
2o5b3ob3o10bo47bobo34b4o85bobo9b2o5b2o10bo3b3o$18b2ob2o6b2ob2o6b5o5b7o
8b4o57bobo5bobo14b2ob2o70bobo13bo10b4ob4o9b2o2bob2o$7bo9b2o2b3o5b5o7b
3o6b7o9b4o57bo7bo14b2o3b2o70bo13bobo9b9o6b11o$6b3o8b2o2b3o5bo3bo8bo9bo
bo10b4o46bobo8bobo2bo2bobo14b2ob2o70bobo24b2o5b2o6b3o2bo2bob2o$7bo10b
2ob2o6b5o7b3o8bobo7bob3obo47bo13b3o18b4o67bobo15bo12b4ob4o5b2ob7ob3o$
18b5o6b2ob2o6b5o5b7o5b4o49bobo13bo18bo2bo69bo15b3o10b11o6b2ob2ob4o$19b
3o5b4ob4o4b2ob2o5b7o4b4o69bobo85bobo15bo13bo2bo2bo9bobo3bobo$4bobo13bo
7b7o3b4ob4o3b3ob3o5b4o49bobo17bo116b11o7b4ob2ob2o$5bo14bo7b3ob3o4b7o5b
2ob2o7bo52bo17bobo82bobo31b4ob4o6b3ob7ob2o$4bobo22b2ob2o5b3ob3o4b7o58b
obo102bo16bobo13b2o5b2o7b2obo2bo2b3o$40b2ob2o6b5o78bobo82bobo16bo14b9o
8b11o$4bobo44bo3bo59bobo17bo101bobo13b4ob4o8b2obo2b2o$5bo110bo17bobo
116b2o5b2o8b3o3bo$4bobo108bobo101bo3bo3bo9bobo32bo$218b3ob3ob3o9bo$
219bo3bo3bo9bobo6$5bo109bobo9bo3bo3bo$4b3o109bo9b3ob3ob3o$obo2bo2bobo
104bobo9bo3bo3bo87bo14bo$bo7bo102bo109b3o12b3o32bo2b2o2bo$obo5bobo100b
3o76bobo25bobo2bo2bobo4bobo2bo2bobo28b8o$44bo2bob2obo2bo56bo2bobo8bobo
34bo26b3o26bo7bo6bo7bo28b10o$obo5bobo20b2obo10b10o61bo10bo33b5o10bob2o
bo6b7o23bobo5bobo4bobo5bobo26b5o2b5o$bo7bo11bo9b4o2b3o5b3ob2ob3o60bobo
8bobo21b2o9b2ob2o10b6o7b5o75bob10obo$obo5bobo8b3o9b9o4b3ob4ob3o91b6o8b
5o9b3o2b3o5b3ob3o31bobo26b4o9b4obo4bob4o$4bobo12b6o7b7o6bob6obo92b6o5b
5ob5o6b8o5b3ob3o32bo5bobo5bobo11b4o7b5ob8ob5o$5bo13b6o7b2o2b4o4b5o2b5o
59bobo9bo3bo13b3o2b2o6b5ob5o5b4o2b4o4b7o31bobo5bo7bo11b2o2b2o7b6obo2bo
b6o$4bobo15b3o5b4o2b2o6b5o2b5o60bo9b3ob3o12b2o3b2o5b2obo2bo2bob2o6bo4b
o8bobo29bobo8bobo5bobo10b6o7b4ob2o4b2ob4o$obo5bobo11bo8b7o7bob6obo60bo
bo9bo3bo2bobo8b2o2b3o6b5ob5o5b4o2b4o6bobo30bo30bo4bo6b3obobo6bobob3o$b
o7bo20b9o5b3ob4ob3o79bo8b6o8b5ob5o6b8o5b7o27bobo8bobo5bobo9b3o2b3o5b3o
bobo6bobob3o$obo5bobo19b3o2b4o6b3ob2ob3o60bobo16bobo7b6o11b5o9b3o2b3o
5b3ob3o31bobo5bo7bo11b6o7b4ob2o4b2ob4o$35bob2o6b10o61bo28b2o14b2ob2o
10b6o6b3ob3o32bo5bobo5bobo12b2o9b6obo2bob6o$obo5bobo33bo2bob2obo2bo59b
obo16bobo24b5o10bob2obo7b5o32bobo37b5ob8ob5o$bo7bo125bo27bo24b7o73b4ob
o4bob4o$obo2bo2bobo104bobo9bo3bo2bobo53b3o25bobo5bobo4bobo5bobo25bob
10obo$4b3o109bo9b3ob3o57bobo26bo7bo6bo7bo27b5o2b5o$5bo109bobo9bo3bo86b
obo2bo2bobo4bobo2bo2bobo27b10o$222b3o12b3o32b8o$223bo14bo33bo2b2o2bo6$
5bo109bobo13bo3bo$4b3o109bo13b3ob3o$obo2bo2bobo36bob2obo62bobo8bobo2bo
3bo82bobo5bobo4bobo5bobo$bo7bo37b6o59bo14bo91bo7bo6bo7bo$obo5bobo35b3o
2b3o13bo43b3o12bobo19bob2obo64bobo5bobo4bobo5bobo$35b2o8b2o6b2o10b4o
43bo2bobo30b6o$obo5bobo12b2o10b2o7b3o6b3o7b5obo46bo9bobo19bo4bo64bobo
5bobo4bobo5bobo12bobo$bo7bo10b6o8b4o7b4o2b4o7b3o2b4o44bobo9bo17b12o62b
o7bo6bo7bo11b3ob3o$obo5bobo8b7o7b6o6b10o7b2o4b2o56bobo17bobob2obobo62b
obo5bobo4bobo5bobo8b11o$4bobo12b3o2b2o6b8o6bo2b2o2bo7b2o5b2o60bobo12b
2ob2o2b2ob2o95b3obobob3o$5bo14b2o2b3o6b2o2b2o6b10o6b2o4b2o46bobo13bo
13b2ob2o2b2ob2o61bobo5bobo4bobo5bobo9b3o3b3o$4bobo13b7o6b2o2b2o6b4o2b
4o5b4o2b3o47bo13bobo13bobob2obobo63bo7bo6bo7bo11bo5bo$8bobo9b6o8b4o6b
3o6b3o5bob5o47bobo8bobo5bobo8b12o61bobo2bo2bobo4bobo2bo2bobo9b3o3b3o$
9bo11b2o11b4o7b2o6b2o7b4o61bo7bo12bo4bo68b3o12b3o12b3obobob3o$8bobo23b
4o8b3o2b3o9bo51bobo8bobo5bobo11b6o69bo14bo13b11o$47b6o63bo31bob2obo72b
obo12bobo10b3ob3o$8bobo36bob2obo62bobo8bobo5bobo90bo14bo13bobo$9bo117b
o7bo90bobo12bobo$5bo2bobo104bobo8bobo2bo2bobo$4b3o109bo13b3o93bobo12bo
bo$5bo109bobo13bo95bo14bo$226bobo12bobo7$115bobo9bo3bo3bo$116bo9b3ob3o
b3o$115bobo9bo3bo3bo12bobo2bobo$112bo35b3o2b3o$111b3o33b10o$112bo2bobo
16bobo9b3o2b2o2b3o$116bo18bo8b4o8b4o$115bobo16bobo8b2o10b2o$144b3o10b
3o$133bo12b2o8b2o$115bobo14b3o11b2o8b2o$116bo16bo10b3o10b3o$115bobo27b
2o10b2o$144b4o8b4o$115bobo12bobo13b3o2b2o2b3o$116bo14bo15b10o$115bobo
12bobo15b3o2b3o$148bobo2bobo$115bobo12bobo$116bo14bo$115bobo12bobo!

B3/S124: P(3-7, 22)

Code: Select all

x = 86, y = 95, rule = B3/S124
9b2ob2o19b2o$14bo7b2o2b2o5bo2b2ob2o$14bo7bob2obo6bobobobo$24b2o7bo$11b
2o20b2o3b2o$24b2o13bo$14bo7bob2obo4bobobobo$14bo7b2o2b2o4b2ob2o2bo$9b
2ob2o24b2o5$40bo$41bo$38b3o$13bo9b2o12bo43bo2bo$10bo2bo8bo2bo13b2o39bo
4bo$9bo12b4o4b2o15b4o6bo2bo19bob2obo$13bo9b2o4bo2bo3b2ob2o5bob2obo4bo
4bo4b2o6b2o6b2o$8bo4bo15b4o13bob2obo5bo2bo5b2o5bobo$9bob5o14b2o4b2ob2o
6bo2bo5bo4bo5bo4b2o8b2o$13bo9b2o21b2o2b2o4b2o2b2o10bo7bob2obo$13bo8b4o
4b2o7b2o39bo4bo$22bo2bo11bo43bo2bo$23b2o13b3o$41bo$40bo5$10b2ob2o$9bo
15bobo$9bo14bo$24bo2bo$11b2o9b2ob2o$21bo2bo$14bo9bo$14bo6bobo$9b2ob2o
10$23bobo$10b2ob2o8b2obo$9bo12bo3b2o11bo$9bo11b3ob2ob2o4bob2obo$7b5obo
6bo2bo4bo5b5o$9bo4bo6bo4bo2bo$9bo10b2ob2ob3o5b5o$14bo7b2o3bo6bob2obo$
9bo4bo8bob2o12bo$10bob2o10bobo11$9b2ob2o11bobo$14bo10bo$14bo11bo2bo$
12b5o5b2o3bo$14bo9bo3b2o$14bo7bo2bo$26bo$14bo9bobo$14bo8$2ob2o4b2ob2o
12bo$5bo8bo9b2o$5bo8bo12bobo$24b4obo$2b2o7b2o9bo2bobo2bo$23bob4o$o8bo
13bobo$o8bo17b2o$b2ob2o4b2ob2o11bo!

hibiscus · Post by **hibiscus** » January 6th, 2025, 4:13 am

p161 in B356/S1456

Code: Select all

x = 7, y = 6, rule = B356/S1456
5o$bob4o$2obo$3bob2o$4obo$2b5o!

Layz Boi · Post by **Layz Boi** » February 8th, 2025, 1:43 am

P47, P66, P80, P87, P96 and P110 in a rule that resembles Coral, but about 3/4 the density: B37/S14567

Code: Select all

x = 140, y = 44, rule = B37/S14567
8bo3bo3bobobo18bobobo3bobobo11bobobo3bobobo9bobobo3bobobo6bobobo3bobo
bo8bo4bo4bobobo2$8bo3bo7bo18bo7bo15bo3bo3bo3bo9bo3bo7bo6bo3bo3bo12bo4b
o4bo3bo2$8bobobo7bo18bobobo3bobobo11bobobo3bo3bo9bobobo7bo6bobobo3bob
obo8bo4bo4bo3bo2$12bo7bo18bo3bo3bo3bo11bo3bo3bo3bo9bo3bo7bo10bo3bo3bo
8bo4bo4bo3bo2$12bo7bo18bobobo3bobobo11bobobo3bobobo9bobobo7bo6bobobo3b
obobo8bo4bo4bobobo5$11bo7bo$11bo7bo$10b3o5b3o108b2o3b2o$10b3o5b3o26bo
82bo3bo$11bo7bo26b2o22bo57b4ob4o$7bo2b2o7b2o2bo20b5o20b2o18bob2o16bob
o15b5ob5o$7bo2b3o5b3o2bo17b8o19b3o18b6o12b7o12b3ob2ob2ob3o$5b8o5b8o13b
6ob3o16b7o15b5ob4o10b3ob3o14b4ob4o$7bo2bob2o3b2obo2bo16b10o16b3ob3o15b
3o2b2o9bob9obo11b4ob4o$7bo2b4o3b4o2bo17b2obobob2o17b7o15b3ob2o8bo2b2o
bobob2o2bo11b2o3b2o$2b2ob5ob3o3b3ob5ob2o12b10o17b3o17b2ob3o10bob9obo12b
3ob3o$8ob2ob2o3b2ob2ob8o11b3ob6o16b2o18b2o2b2o13b3ob3o16b5o$2b2o2b6o7b
6o2b2o13b8o18bo20b2o2b3o11b7o16b2ob2o$8b4o7b4o19b5o42b5o15bobo19b3o$43b
2o45b4o37b3o$43bo46b2ob3o36bo$91b3o38bo$8b4o7b4o68b3o$2b2o2b6o7b6o2b2o
63bo$8ob2ob2o3b2ob2ob8o61bo$2b2ob5ob3o3b3ob5ob2o$7bo2b4o3b4o2bo$7bo2b
ob2o3b2obo2bo$5b8o5b8o$7bo2b3o5b3o2bo$7bo2b2o7b2o2bo$11bo7bo$10b3o5b3o
$10b3o5b3o$11bo7bo$11bo7bo!

Some oscillators in the rule "Bacteria" (B34/S456) https://conwaylife.com/wiki/OCA:Bacteria
Periods; {3, 4, 6, 7, 8, 10, 12, 14, 16, 17, 18, 20, 26, 36}

Code: Select all

x = 247, y = 93, rule = B34/S456
2bobobo7bo3bo11bobobo10bobobo8bobobo10bo4bobobo11bo4bobobo12bo4bo3bo9b
o4bobobo10bo4bobobo10bo4bobobo9bobobo3bobobo7bobobo3bobobo7bobobo3bobo
bo2$6bo7bo3bo11bo18bo8bo3bo10bo4bo3bo11bo8bo12bo4bo3bo9bo4bo14bo8bo10b
o4bo3bo13bo3bo3bo11bo3bo15bo3bo2$4bobo7bobobo11bobobo14bo8bobobo10bo4b
o3bo11bo4bobobo12bo4bobobo9bo4bobobo10bo8bo10bo4bobobo9bobobo3bo3bo7bo
bobo3bobobo9bobo3bobobo2$6bo11bo11bo3bo14bo8bo3bo10bo4bo3bo11bo4bo16bo
8bo9bo4bo3bo10bo8bo10bo4bo3bo9bo7bo3bo7bo7bo3bo11bo3bo3bo2$2bobobo11bo
11bobobo14bo8bobobo10bo4bobobo11bo4bobobo12bo8bo9bo4bobobo10bo8bo10bo
4bobobo9bobobo3bobobo7bobobo3bobobo7bobobo3bobobo5$220bo$120b2o36bobob
o16bo2bo59bo$3b2o41bobo28bobo16bo6bo52bo7bo14b2obo16bob2o16b3o17b4ob2o
$2b4o11b2o26b2ob2o11bo13b2obo17bob4obo14bo4bo12bobo5bo11bo7bo14bobobo
15b4o15bo3bo15bo2b5o$bobo2bo10b2o15bobo7b2obob2o10b3o13bob2o14b10o13b
6o13bobob3o10b6ob6o9b9o12b4ob3o13b2ob2o14bobo2bobo$2ob5o8b4o11bo2b2o9b
5o10b4o12bo18b3ob2ob3o13b6o13b6obo11bob5obo12bobobobob2o10b2ob4o12b2ob
3ob2o11bob9o$5ob2o8b4o9b8o7b2obob2o7bo2b4o13bo18bob2obo15bo4bo13b2obob
2o9bo2b3obob3o2bo10b7o13b4ob2o10bob2obob2obo10bo2bob2ob2o$bo2bobo9b4o
10b2o2bo10b2ob2o6b4o2bo32b3ob2ob3o33b5o13b2ob3ob2o11b2obobobobo11b3ob
4o8bobo2b5o2bobo8b2ob2obo2bo$2b4o11b2o10bobo14bobo8b4o34b10o15b2o15b2o
bob2o9bo3b3ob3o3bo10b9o12b4o12bob2obob2obo9b9obo$3b2o12b2o38b3o36bob4o
bo32bob6o12b2ob3ob2o14bobobo15b2obo13b2ob3ob2o12bobo2bobo$59bo36bo6bo
33b3obobo9bo2b3obob3o2bo12bob2o34b2ob2o13b5o2bo$79bo56bo5bobo11bob5obo
15bo2bo34bo3bo13b2ob4o$75bob3o74b6ob6o52b3o17bo$78bo77bo7bo$31b4o37b2o
3b2o2bo38b3o33bo7bo55bo$17b2o12b4o38b4obo40b2ob2o34bobobo$17b2o10b8o
36bobobobobo36bobobobo13bob2obo$16b4o11b4o41bob4o15bobobobo13b9o10b3ob
2ob3o$16b4o11b4o25b5o8bo2b2o3b2o12b3obobob3o11bo2bobo2bo10bob6obo51bob
o3bo$15bob2obo38bo2b3o11bo19b4ob4o12b9o8b2ob2ob2ob2ob2o47b3obo3b3o$17b
2o38b3o2bo12b3obo15bobo5bobo12bobobobo10b2ob2o2b2ob2o48bob7obo$15bo4bo
36b8o10bo20b4ob4o14b2ob2o9b3ob3o2b3ob3o45b3obobobob3o$17b2o40bo2b3o30b
3obobob3o14b3o12bo2bo4bo2bo49b4ob4o$15bob2obo11b2o23b3o2bo34bobobobo
29b4o8b4o46bo2b2ob2o2bo$16b4o37b5o71b4o8b4o49bobobo$16b4o8b10o97bo2bo
4bo2bo$17b2o10b2o4b2o96b3ob3o2b3ob3o$17b2o9bobo4bobo38bobo56b2ob2o2b2o
b2o$29b2o4b2o40bo56b2ob2ob2ob2ob2o$28b10o37b5o38bo5bo11bob6obo$73bo2bo
bo2bo18bo15bo4bo4bo9b3ob2ob3o$32b2o39b9o13b4o3b4o10bo2bo3bo2bo11bob2ob
o$72b3obobob3o12b2obobobob2o9b13o$72b3obobob3o13b9o12bobobobobo$73b9o
13bobobobobobo9b6ob6o$73bo2bobo2bo14b9o12bob2ob2obo$33bo41b5o15b2obobo
bob2o14bobo$77bo17b4o3b4o$31bo3bo40bobo21bo$29bobobobobo$27bo2bobobobo
2bo$28b2ob5ob2o$26b3ob2obob2ob3o$26b3ob2obob2ob3o36bo$28b2ob5ob2o$27bo
2bobobobo2bo35bo3bo$29bobobobobo35bob5obo$31bo3bo38bo5bo16b6o$71b13o
11bob2o2b2obo$33bo37bobobobobobobo11b4o2b4o$70b3ob7ob3o9b3ob4ob3o$72b
3o2bo2b3o13b3o2b3o$70b3obobobobob3o10bo2b4o2bo$72b2obo3bob2o15b4o2$32b
4o$30b3o2b3o$31b6o$31bo4bo2$73bo2bo2bo2bo$74b2ob2ob2o$31bo4bo35b3ob4ob
3o$31b6o37b3o2b3o$30b3o2b3o34b3obo2bob3o$32b4o38b2o4b2o$72b3obo2bob3o$
74b3o2b3o$72b3ob4ob3o$74b2ob2ob2o$33bo39bo2bo2bo2bo$33b3o$31b4obo$30bo
5bo$30b2o4b3o$29b3o4b2o$31bo5bo$31bob4o$32b3o$34bo!

LaundryPizza03 · Post by **LaundryPizza03** » April 13th, 2025, 2:26 pm

This is the complete list of the 295 OT rules without still lifes and where they are not proven impossible, as found in Eppstein (2009):

Code: Select all

B25/S157
B258/S157
B246/S257
B246/S24
B246/S248
B246/S247
B246/S2478
B2468/S257
B2468/S24
B2468/S248
B2468/S247
B2468/S2478
B2467/S256
B2467/S2568
B2467/S24
B2467/S248
B2467/S247
B2467/S2478
B2467/S246
B2467/S2468
B2467/S2467
B2467/S24678
B24678/S2568
B24678/S24
B24678/S248
B24678/S247
B24678/S2478
B24678/S246
B24678/S2468
B24678/S2467
B24678/S24678
B245/S25
B245/S258
B245/S257
B245/S2578
B245/S256
B245/S2568
B245/S2567
B245/S25678
B245/S246
B245/S2468
B245/S2467
B245/S24678
B245/S245
B245/S2458
B245/S2457
B245/S24578
B245/S2456
B245/S24568
B245/S24567
B245/S245678
B245/S23
B245/S238
B245/S237
B245/S2378
B245/S236
B245/S2368
B245/S2367
B245/S23678
B245/S12
B245/S128
B245/S127
B245/S1278
B245/S126
B245/S1268
B245/S1267
B245/S12678
B245/S125
B245/S1258
B245/S1257
B245/S12578
B245/S1256
B245/S12568
B245/S12567
B245/S125678
B2458/S25
B2458/S258
B2458/S257
B2458/S2578
B2458/S256
B2458/S2568
B2458/S2567
B2458/S25678
B2458/S246
B2458/S2468
B2458/S2467
B2458/S24678
B2458/S245
B2458/S2458
B2458/S2457
B2458/S24578
B2458/S2456
B2458/S24568
B2458/S24567
B2458/S245678
B2458/S23
B2458/S238
B2458/S237
B2458/S2378
B2458/S236
B2458/S2368
B2458/S2367
B2458/S23678
B2458/S12
B2458/S128
B2458/S127
B2458/S1278
B2458/S126
B2458/S1268
B2458/S1267
B2458/S12678
B2458/S125
B2458/S1258
B2458/S1257
B2458/S12578
B2458/S1256
B2458/S12568
B2458/S12567
B2458/S125678
B2457/S25
B2457/S258
B2457/S257
B2457/S2578
B2457/S256
B2457/S2568
B2457/S2567
B2457/S25678
B2457/S245
B2457/S2458
B2457/S2457
B2457/S24578
B2457/S2456
B2457/S24568
B2457/S24567
B2457/S245678
B2457/S23
B2457/S238
B2457/S237
B2457/S2378
B2457/S236
B2457/S2368
B2457/S2367
B2457/S23678
B2457/S12
B2457/S128
B2457/S127
B2457/S1278
B2457/S126
B2457/S1268
B2457/S1267
B2457/S12678
B2457/S125
B2457/S1258
B2457/S1257
B2457/S12578
B2457/S1256
B2457/S12568
B2457/S12567
B2457/S125678
B24578/S25
B24578/S258
B24578/S257
B24578/S2578
B24578/S256
B24578/S2568
B24578/S2567
B24578/S25678
B24578/S245
B24578/S2458
B24578/S2457
B24578/S24578
B24578/S2456
B24578/S24568
B24578/S24567
B24578/S245678
B24578/S23
B24578/S238
B24578/S237
B24578/S2378
B24578/S236
B24578/S2368
B24578/S2367
B24578/S23678
B24578/S12
B24578/S128
B24578/S127
B24578/S1278
B24578/S126
B24578/S1268
B24578/S1267
B24578/S12678
B24578/S125
B24578/S1258
B24578/S1257
B24578/S12578
B24578/S1256
B24578/S12568
B24578/S12567
B24578/S125678
B2456/S23
B2456/S238
B2456/S237
B2456/S2378
B2456/S236
B2456/S2368
B2456/S2367
B2456/S23678
B2456/S12
B2456/S128
B2456/S127
B2456/S1278
B2456/S126
B2456/S1268
B2456/S1267
B2456/S12678
B2456/S125
B2456/S1258
B2456/S1257
B2456/S12578
B2456/S1256
B2456/S12568
B2456/S12567
B2456/S125678
B24568/S23
B24568/S238
B24568/S237
B24568/S2378
B24568/S236
B24568/S2368
B24568/S2367
B24568/S23678
B24568/S12
B24568/S128
B24568/S127
B24568/S1278
B24568/S126
B24568/S1268
B24568/S1267
B24568/S12678
B24568/S125
B24568/S1258
B24568/S1257
B24568/S12578
B24568/S1256
B24568/S12568
B24568/S12567
B24568/S125678
B24567/S23
B24567/S238
B24567/S237
B24567/S2378
B24567/S236
B24567/S2368
B24567/S2367
B24567/S23678
B24567/S12
B24567/S128
B24567/S127
B24567/S1278
B24567/S126
B24567/S1268
B24567/S1267
B24567/S12678
B24567/S125
B24567/S1258
B24567/S1257
B24567/S12578
B24567/S1256
B24567/S12568
B24567/S12567
B24567/S125678
B245678/S23
B245678/S238
B245678/S237
B245678/S2378
B245678/S236
B245678/S2368
B245678/S2367
B245678/S23678
B245678/S12
B245678/S128
B245678/S127
B245678/S1278
B245678/S126
B245678/S1268
B245678/S1267
B245678/S12678
B245678/S125
B245678/S1258
B245678/S1257
B245678/S12578
B245678/S1256
B245678/S12568
B245678/S12567
B245678/S125678

In particular, all of the unknown cases are B2 rules. Based on the kind of proofs given in this source, it is likely that any proofs of nonexistence in this ruleset requires a demonstration that an infinite repeating component is forced, like in the p1 ship project.

I'm compiling a comprehensive list of rules with small (width and height ≤10, likely lower for large periods), low-period oscillators using a Python LLS wrapper. The cases evaluated, at time of writing, include all still lifes with bounding box area ≤64.

EDIT: B2467/S24678 solved:

Code: Select all

x = 72, y = 72, rule = B2467/S24678
15bo$13bob2o$12b2ob2obo$10bob2o2bob2o$9b2obo5b2obo$7bob2o8bob2o$6b2obo
7b2obob2o$5b2obob2o6b2obo$7bob2o4bob4ob3o$4b3ob4obob3ob3ob3o$3b3ob3ob
3ob5obo$7bob5o2b3o5b3o$2b3o5b2obob5o5b3o$b3o5b5ob3ob2o$15bo4b2o2b3o$3o
5b3ob3obo2b3ob3o$b3o5b5ob3ob2o$6bob6o2bob4o2b3o$2b3ob3ob3o4bo7b3o$3b3o
b4ob2ob3ob2o$6bob2o3b5obo6b3o$4b2obob2o3b2obo9b3o$5b2obo$6bob2o5bo12b
3o$8b2obo2b2obo11b3o$9bob2ob2ob2o$11b2obo2b2obo9b3o$12bo5bob2o9b3o$20b
2obo$21bob2o7b3o$23b2obo6b3o$24bob2o$26b2obo4b3o$27bob2o4b3o$29b2obob
2ob2o$30bob3o3b2o$32b2o3b3obo$33b2ob2obob2o$34b3o4b2obo$35b3o4bob2o$
44b2obo$36b3o6bob2o$37b3o7b2obo$48bob2o$38b3o9b2obo5bo$39b3o9bob2o2bob
2o$53b2ob2ob2obo$40b3o11bob2o2bob2o$41b3o12bo5b2obo$63bob2o$42b3o9bob
2o3b2obob2o$43b3o6bob5o3b2obo$51b2ob3ob2ob4ob3o$44b3o7bo4b3ob3ob3o$45b
3o2b4obo2b6obo$51b2ob3ob5o5b3o$46b3ob3o2bob3ob3o5b3o$45b3o2b2o4bo$51b
2ob3ob5o5b3o$44b3o5b5obob2o5b3o$45b3o5b3o2b5obo$50bob5ob3ob3ob3o$46b3o
b3ob3obob4ob3o$47b3ob4obo4b2obo$50bob2o6b2obob2o$48b2obob2o7bob2o$49b
2obo8b2obo$50bob2o5bob2o$52b2obo2b2obo$53bob2ob2o$55b2obo$56bo!

EDIT2: Much smaller, and solves all rules with at least S246 and at most B24678.

Code: Select all

x = 49, y = 49, rule = B24678/S24678
16bo$15b2obo$13bob2ob2o$8bo3b2obo2b2obo$7b2obob2o5bob2o$6b2ob2obo8b2ob
o$5b2o2bobob2o7bob2o$4b2o5b2obobo7b2obo$3b2o8bob2obo6bob2o$5b2o3b3ob3o
b2o7b2obo$4b2o3b3ob3o2b2obo6bob2o$6b2ob2obo6bob2o3b2obob2o$3b3obobobob
2o6b2obobob2o2b2o$2b3obobobob2o8bob2obo5b2o$6b2ob2obo7b2obobob2o5b2o$b
3o4b3o10b2obobob2o5b2o$3o4b3o12bob2obo8b2o$24b3ob3o6b2o$b3o4b3o14b3ob
3o6b2o$2b3o4b3o16bob2obo2b2o$14bo11b2obobob2obob3o$3b3o4b3ob2o11b2obob
ob2obob3o$4b3o4b3ob2o11bob2obo2b2o$14bo15b3ob2o4b3o$5b3o4b2ob3o13b3ob
2o4b3o$6b3o4b2ob3o15bo$11b2o2bob2obo11b2ob3o4b3o$7b3obob2obobob2o11b2o
b3o4b3o$8b3obob2obobob2o11bo$11b2o2bob2obo16b3o4b3o$9b2o6b3ob3o14b3o4b
3o$10b2o6b3ob3o$11b2o8bob2obo12b3o4b3o$12b2o5b2obobob2o10b3o4b3o$13b2o
5b2obobob2o7bob2ob2o$14b2o5bob2obo8b2obobobob3o$15b2o2b2obobob2o6b2obo
bobob3o$16b2obob2o3b2obo6bob2ob2o$17b2obo6bob2o2b3ob3o3b2o$18bob2o7b2o
b3ob3o3b2o$20b2obo6bob2obo8b2o$21bob2o7bobob2o5b2o$23b2obo7b2obobo2b2o
$24bob2o8bob2ob2o$26b2obo5b2obob2o$27bob2o2bob2o3bo$29b2ob2obo$30bob2o
$32bo!

FWKnightship · Post by **FWKnightship** » April 13th, 2025, 8:39 pm

An oscillator collection in B378/S01234567 I made 4 years ago:

Code: Select all

x = 172, y = 356, rule = B378/S01234567
19b2obo$19bob2o$23b2o$23bo$24bo$23b2o6bo6bo2bo$19b2obo6b5o4b4o$19bob2o
7bobo4b2o2b2o$17b2o10b5o4b4o$17bo13bo6bo2bo$18bo$17b2o$19b2obo$19bob2o
5$19b2obo$19bob2o$23b2o$23bo$24bo$23b2o5bobo2bo5bobo7bo2bo$19b2obo7b6o
5b5o5b6o$19bob2o6b2o4b2o3b2o3bo4b2o4bo$23b2o5b6o5bo3b2o4bo4b2o$23bo6bo
2bobo5b5o5b6o$24bo18bobo7bo2bo$23b2o$19b2obo$19bob2o5$18b2o3b2o$18b2o
3b2o2$18b2o3b2o27bo7bo2bo$18bobobobo7bo8bo2bo7b3o5b6o$20bobo7b5o4b6o4b
ob2obo4b2o3bo$19b2obo7bo3bo5bo3b2o4b2o2b2o4bo3bo$23b2o4b2o3b2o4bo3bo4b
2o3bo5bo3b2o$24bo5bo3bo4b2o2b3o4bo3bo4b2o3bo$23bo6b5o5b4o6b3ob2o4b6o$
23b2o7bo7bo2bo8b3o5bo2bo$24bo29bo$23bo$23b2o5$19bob2o$19b2obo$17b2o41b
o10b2o$18bo41b3o6b6o41bo$17bo41b2obo7bo3bo2bo7bo2bo2bo9bo2bo2bo6b5o$
17b2o11bo2bobo2bo5bo2bo2bo2bo6bob2o6b2o2b6o3b11o3bob11o5bo2bo$19bob2o
7b9o5b10o5b2o2b3o5bo6bo5bo7bo4bobo8bo5b2o2b2o$19b2obo6b2o7b2o3b2o8b2o
5bo3bo5b2o2b6o4bo7bo6bo8bo5bo4bo$23b2o5b9o5b10o5b2o2b3o4bob3o2bo5b11o
5b11o3b2o3b3o$24bo5bo2bobo2bo5bo2bo2bo2bo5bo3bo5b2obo12bo2bo2bo9bo2bo
2bo6b5o$23bo34b6o6b3o41bobo$23b2o35b2o8bo$19bob2o$19b2obo5$21bob2o$21b
2obo$19b2o20bo2bo$18bobo13bo6b6o$18bo13b3o5b2o4b3o$17b2o13bob2o4b6obo$
19b2obo7b3obo4b4o2b3o$19bob2o7bo3b2o4b3o2b4o$17b2o4b2o4b2o3bo5bob6o$
17bo5bo6bo2b2o4b3o4b2o$18bo5bo5b4o7b6o$17b2o4b2o7bobo8bo2bo$19b2obo$
19bob2o5$19bob2o$19b2obo$23b2o$24bo5bo9bo12bo$23bo6b3o7b3o8b5o$23b2o4b
2ob3o4b2ob3o6bo3bo$21b2o7bo3bo4b2o3bo4b3o3b3o$22bo6b3o2b2o4bo2b3o4bob
3o2bo$21bo9b2obo5b2obo6bobob5o$21b2o9b3o6b3o5b2obo3bo$19b2o11bo8bo8b3o
$20bo29bo$19bo$19b2o5$19b2obo$19bob2o$17b2o4b2o$17bo5bo28bo2bo38bo2bo
10bo32bobo10bo9b2o$18bo5bo5bo12bo8b4o38b4o10b3o8bo2bobo2bo11b4o6b2o3b
3obo3b6o$17b2o4b2o5b3obo6b5o4b3o2b2o4bo2bobobo2bo5bo2bo2bobo2bo4b2o2b
2o8b2ob3o4b13o9bo2b2o6b3obobobo4bo3b3o$19b2obo6b2ob3o4b3o2bo6bo3bo5b
11o5b12o5bo3bo6b3o4bo5bo9bo6bob3o3b3o4bob3obo6b4o2b3o$19bob2o7bo3b2o4b
o3bo6bo3bo4b2o9b2o3b2o10b2o4bo3b3o5bo5b2o4bo9bo4b6o5bo4b3o3b2o9bo3bo$
17b2o4b2o5bo3b2o4b2o2b2o4b3o2b2o4b11o5b12o4b4o3bo5b2o3b3o3b13o4b2ob9o
5bo3bo9b2o3bo$17bo5bo5b6o6b4o7b4o5bo2bobobo2bo5bo2bobo2bo2bo4bo2b6o5bo
2b2o7bo2bobo2bo5b6obo2bo7b2ob3o9b6o$18bo5bo6bo2bo6bo2bo7bo2bo42b2o7b4o
24bo2bo13b3o11bo2bo$17b2o4b2o84b2o27bo13bo$19b2obo$19bob2o5$19b2obo$
19bob2o$17b2o4b2o$17bo5bo9bo$18bo5bo6b5o$17b2o4b2o4b3o2bo$19b2obo7bo3b
o$19bob2o7bo3b2o$23b2o4b4obo$23bo8b3o$24bo6b2o$23b2o$19b2obo$19bob2o5$
13b2o4b2obo$13bo5bob2o$14bo2b2o4b2o$13b2o2bo5bo7bobo$18bo5bo6b3o6bo2bo
2bo5bobo$13b2o2b2o4b2o4b3ob3o4b7o5b5o$13bo3bo5bo6bo3b2o3b2obobob2o3b2o
bob3o$14bo3bo5bo5bobobo5bo3bobo5bo3bobo$13b2o2b2o4b2o4b6o5b3ob3o5b3obo
b2o$17bo5bo6bo2bo8b3o9b5o$13b2o3bo5bo5b5o9bo11bobo$13bo3b2o4b2o7bo$14b
o4b2obo$13b2o4bob2o5$19b2o2b2o$19bo3bo$20bo3bo$19b2o2b2o$31bobobo$19b
2o2b2o4b9o$19bo3bo6bo3b3o$20bo3bo5bo3b3o$19b2o2b2o4b3ob2o$31b3o$19b2o
2b2o8bo$19bo3bo$20bo3bo$19b2o2b2o5$13b2o4b2obo$13bo5bob2o$14bo8b2o$13b
2o8bo$24bo$13b2o8b2o5bo2bobo2bo5bo2bo2bo2bo$13bo5b2obo7b9o5b10o$14bo4b
ob2o6b4o5b2o3b4o6b2o$13b2o2b2o11b9o5b10o$17bo12bo2bobo2bo5bo2bo2bo2bo$
13b2o3bo$13bo3b2o$14bo4b2obo$13b2o4bob2o5$15b2o2b2obo$15bo3bob2o$16bo
6b2o$15b2o6bo6bobo$24bo5b3o$15b2o6b2o4b2obobo6bo2bo2bo2bo2bo5bo2bobobo
2bo2bo$15bo3b2obo7bob5o4b13o5b14o$16bo2bob2o7b2o3bo4b2o11b2o3b2o12b2o$
15b2o6b2o6bo3bo5b13o5b14o$23bo7bo3b2o4bo2bo2bo2bo2bo5bo2bo2bobobo2bo$
15b2o7bo5b6o$15bo7b2o7bo2bo$16bo2b2obo$15b2o2bob2o5$14b2o2b2o3b2o$14bo
3b2o3b2o$15bo27bo2bo9bo2bo$14b2o2b2o3b2o18b6o7b6o$18bobobobo6b2o9b2ob
6o4b2o2b5o4bo2bo2bo2bo2bo2bo6bo2bo2bo2bo2bo2bo$14b2o4bobo8b4o2bo4bob4o
bo5bob6o5b18o4b18o$14bo4b2obo7b2o2b4o3b2obo2bobo4b2obo2bobo4b2o15bo4b
2o16bo$15bo7b2o5bo5bo5bobo2bob2o4bobo2bob2o3b2o15bo5bo16b2o$14b2o8bo4b
2o3b3o5bob4obo5bob4obo5b18o4b18o$23bo6b5o6b3o4b2o4b3o4b2o5bo2bo2bo2bo
2bo2bo8bo2bo2bo2bo2bo2bo$14b2o7b2o5bobo10b6o7b6o$14bo9bo20bo2bo9bo2bo$
15bo7bo$14b2o7b2o5$13b2o4b2obo$13bo5bob2o9bo$14bo2b2o13b3o$13b2o2bo13b
6o$18bo13b4o$13b2o2b2o12bobobo$13bo5b2obo10bob3o$14bo4bob2o8bobo3bo$
13b2o8b2o7b2o3b2o$23bo7b3o2b2o$13b2o9bo4b8obo$13bo9b2o5b4o$14bo4b2obo
7bo2b2o$13b2o4bob2o5$13b2o4b2obo$13bo5bob2o$14bo2b2o4b2o$13b2o2bo5bo$
18bo5bo6bo2bo2bo2bo$13b2o2b2o4b2o4b12o$13bo5b2obo7b3o7b2o$14bo4bob2o7b
3o7b2o$13b2o2b2o4b2o4b12o$17bo5bo7bo2bo2bo2bo$13b2o3bo5bo$13bo3b2o4b2o
$14bo4b2obo$13b2o4bob2o5$9b2obo6b2obo$9bob2o6bob2o$13b2o2b2o4b2o$13bo
3bo5bo$14bo3bo5bo6bo2bo2bo2bo2bo$13b2o2b2o4b2o4b17o$9b2obo4bo5bo6bo13b
o$9bob2o5bo5bo5bo13bo$7b2o8b2o4b2o4b17o$7bo9bo5bo7bo2bo2bo2bo2bo$8bo9b
o5bo$7b2o8b2o4b2o$9b2obo6b2obo$9bob2o6bob2o5$9b2obo8bob2o$9bob2o8b2obo
$13b2o4b2o$13bo4bobo$14bo3bo12bo2bo2b2o2bo2bo2bo$13b2o2b2o10b21o$9b2ob
o6b2obo7bo17bo$9bob2o6bob2o7bo17bo$7b2o8b2o4b2o4b21o$7bo9bo5bo7bo2bo2b
2o2bo2bo2bo$8bo9bo5bo$7b2o8b2o4b2o$9b2obo6b2obo$9bob2o6bob2o5$11b2obo
4bob2o$11bob2o4b2obo$15b2o6b2o$15bo8bo$16bo6bo$15b2o6b2o5bo2bo2bobobo
2bo2bo5bo2bo2bo2bobo2bo2bo$11b2obo6b2o7b17o5b18o$11bob2o7bo6b2o15b2o3b
2o16b2o$9b2o10bo8b17o5b18o$9bo11b2o7bo2bo2bobobo2bo2bo5bo2bo2bo2bobo2b
o2bo$10bo8b2o$9b2o9bo$11b2obo4bo$11bob2o4b2o5$8b2obo8bob2o$8bob2o8b2ob
o$12b2o4b2o$12bo4bobo$13bo3bo13bo2bo2bobo2bo2bo2bo2bo$12b2o2b2o11b25o$
8b2obo6b2obo8bo21bo$8bob2o6bob2o8bo21bo$12b2o2b2o4b2o5b25o$12bo3bo5bo
8bo2bo2bobo2bo2bo2bo2bo$13bo3bo5bo$12b2o2b2o4b2o$8b2obo6b2obo$8bob2o6b
ob2o5$2o4b2obo8bob2o$o5bob2o8b2obo$bo2b2o4b2o4b2o$2o2bo5bo4bobo$5bo5bo
3bo15bo2bo2bo2bo2bo2bo2bo2bo2bo$2o2b2o4b2o2b2o13b29o$o3bo5bo5b2obo10bo
25bo$bo3bo5bo4bob2o10bo25bo$2o2b2o4b2o2b2o4b2o7b29o$4bo5bo3bo5bo10bo2b
o2bo2bo2bo2bo2bo2bo2bo$2o3bo5bo3bo5bo$o3b2o4b2o2b2o4b2o$bo4b2obo6b2obo
$2o4bob2o6bob2o!

LaundryPizza03 · Post by **LaundryPizza03** » November 13th, 2025, 6:06 pm

A user PM'd me to an oscillator collection they compiled in the early 2010s at http://www.parvarium.com/CA_patterns/patterns.js]. This collection is in Life 1.05 format and will need to be compared to ours.

This is the latest collection I have right now. Perhaps I should return to compiling the small ones.

actinophrys · Post by **actinophrys** » November 14th, 2025, 6:04 pm

I could make a script to convert them all to RLE if that would be valuable. To be clear it is the collection that is that old, which is why it's in an idiosyncratic format with S before B, but most of the patterns are later updates. Of the original set the most interesting are probably the small p2s in rules with no p1s; besides the ones LaundryPizza03 posted there are:

Code: Select all

# p2 with 8 cells
x=4, y=4, rule=B4/S5
bo$b3o$3o$2bo!

Code: Select all

# p2 with 10 cells
x=5, y=4, rule=B47/S4
bobo$bobo$5o$2bo!

Code: Select all

# p2 with 49 cells
x=10, y=10, rule=B5678/S46
4b2o$3b4o$2b2ob2o$bob2ob3o$6ob3o$4ob2ob2o$bo2b5o$2bob2obo$3b4o$4b2o!

Most of the newer ones are little and obvious things just to help fill out a rule viewer I made, although a couple might stand out for high periods with few cells, notably:

Code: Select all

# p16 with 3 cells
x=3, y=3, rule=B345/S013
o$2bo$o!

Code: Select all

# p52 with 5 cells
x=4, y=3, rule=B35/S125
obo$o2bo$2bo!

Then I have been trying to find still lifes or oscillators for rules with B2/S1. Even without B3 there are some that I have and others that I haven't including B2/S1 itself. Here are a couple of the examples. For these it doesn't look like anything I have listed made it into the oscillators db. I'd be interested if other people have found some that work in different rules or are smaller than them though.

Code: Select all

# p2 with 12 cells
x=9, y=9, rule=B2/S16
4bo2$3bobo$2bo3bo$o7bo$2bo3bo$3bobo2$4bo!

Code: Select all

# p2 with 56 cells
x=17, y=17, rule=B2/S15
6bo2bo2$4bobo2bobo$7b2o$14bo$2bo2b3ob3o$5bo5bo2bobo$obo2bo2bo2bobo$3bo
3bobo3bo$3bobo2bo2bo2bobo$obo2bo5bo$5b3ob3o2bo$2bo$8b2o$5bobo2bobo2$7b
o2bo!

Code: Select all

# p4 with 31 cells
x=11, y=9, rule=B2456/S126
3bo3bo$5bo$4b3o$bobobobobo$4obob4o$bobobobobo$4b3o$5bo$3bo3bo!

LaundryPizza03 · Post by **LaundryPizza03** » November 15th, 2025, 9:07 am

actinophrys wrote: November 14th, 2025, 6:04 pm I could make a script to convert them all to RLE if that would be valuable. To be clear it is the collection that is that old, which is why it's in an idiosyncratic format with S before B, but most of the patterns are later updates. Of the original set the most interesting are probably the small p2s in rules with no p1s; besides the ones LaundryPizza03 posted there are:
Code: Select all
# p2 with 8 cells
x=4, y=4, rule=B4/S5
bo$b3o$3o$2bo!
Code: Select all
# p2 with 10 cells
x=5, y=4, rule=B47/S4
bobo$bobo$5o$2bo!
Code: Select all
# p2 with 49 cells
x=10, y=10, rule=B5678/S46
4b2o$3b4o$2b2ob2o$bob2ob3o$6ob3o$4ob2ob2o$bo2b5o$2bob2obo$3b4o$4b2o!
Most of the newer ones are little and obvious things just to help fill out a rule viewer I made, although a couple might stand out for high periods with few cells, notably:
Code: Select all
# p16 with 3 cells
x=3, y=3, rule=B345/S013
o$2bo$o!
Code: Select all
# p52 with 5 cells
x=4, y=3, rule=B35/S125
obo$o2bo$2bo!
Then I have been trying to find still lifes or oscillators for rules with B2/S1. Even without B3 there are some that I have and others that I haven't including B2/S1 itself. Here are a couple of the examples. For these it doesn't look like anything I have listed made it into the oscillators db. I'd be interested if other people have found some that work in different rules or are smaller than them though.
Code: Select all
# p2 with 12 cells
x=9, y=9, rule=B2/S16
4bo2$3bobo$2bo3bo$o7bo$2bo3bo$3bobo2$4bo!
Code: Select all
# p2 with 56 cells
x=17, y=17, rule=B2/S15
6bo2bo2$4bobo2bobo$7b2o$14bo$2bo2b3ob3o$5bo5bo2bobo$obo2bo2bo2bobo$3bo
3bobo3bo$3bobo2bo2bo2bobo$obo2bo5bo$5b3ob3o2bo$2bo$8b2o$5bobo2bobo2$7b
o2bo!
Code: Select all
# p4 with 31 cells
x=11, y=9, rule=B2456/S126
3bo3bo$5bo$4b3o$bobobobobo$4obob4o$bobobobobo$4b3o$5bo$3bo3bo!

Please convert to a similar format as mine. That is,

Code: Select all

[name]:[discoverer ,[year]]:<minrule>:<maxrule>:<period>[/ period/mod]:<dx>:<dy>:<width>:<height>:<RLE w/o prefix or linebreaks>

actinophrys · Post by **actinophrys** » November 20th, 2025, 3:40 pm

Right, same as Eppstein's glider.db. I made an export that is supposed to be available here but unfortunately the site is down right now. I've attached a static copy here rather than keep you waiting. I hope it's of some use.

Thinking more about oscillators with very few cells I also had an idea for something new to try. In rules with B2, little symmetrical patterns like obo! and 3o! often cut off their own growth and oscillate or collapse. Has anyone looked at interactions with them? They usually explode but I found a couple where two sustain one another.

Code: Select all

# p10 with 4 cells
x=7, y=3, rule=B278/S0378
o5bo2$o5bo

Code: Select all

# p14 with 4 cells
x=8, y=8, rule=B26/S03
2bo2$o3$7bo2$5bo!

So far though the highest period for 4 cells has been this odd rhombus:

Code: Select all

# p22 with 4 cells
x=4, y=4, rule=B24/S1357
o$2bo$bo$3bo!

LaundryPizza03 · Post by **LaundryPizza03** » November 21st, 2025, 11:47 am

actinophrys wrote: November 20th, 2025, 3:40 pm Right, same as Eppstein's glider.db. I made an export that is supposed to be available here but unfortunately the site is down right now. I've attached a static copy here rather than keep you waiting. I hope it's of some use.

Thinking more about oscillators with very few cells I also had an idea for something new to try. In rules with B2, little symmetrical patterns like obo! and 3o! often cut off their own growth and oscillate or collapse. Has anyone looked at interactions with them? They usually explode but I found a couple where two sustain one another.
Code: Select all
# p10 with 4 cells
x=7, y=3, rule=B278/S0378
o5bo2$o5bo
Code: Select all
# p14 with 4 cells
x=8, y=8, rule=B26/S03
2bo2$o3$7bo2$5bo!
So far though the highest period for 4 cells has been this odd rhombus:
Code: Select all
# p22 with 4 cells
x=4, y=4, rule=B24/S1357
o$2bo$bo$3bo!

Can you list the date of discovery for each item in the list with an attributed discoverer?

actinophrys · Post by **actinophrys** » December 28th, 2025, 6:46 pm

All right, my list is thankfully back up and as requested now gives dates where I can. I should say I don't know how to verify many of them though. For the B34/S34 patterns in particular I've left off credit since several are mentioned in Lifeline, but Eppstein instead credits the small spaceship to Bill Gosper, 1971 and without knowing what that refers to I can't tell which might be from which.

Here's a collection of more oscillators in B2/S13. Besides replicators, this rule has boxes with walls that are invulnerable from one side, so putting any soup inside them will eventually give a billiard table or empty box. Sometimes they go for a long time though, and I thought the last one here might be of interest as a random p626.

Code: Select all

x = 188, y = 127, rule = B2/S13
42bo9bo30bo9bo12bo$80bo2$39bo5bo3bo5bo27bo6bo5bo9bo3$39bo5bo3bo5bo27bo6bo5bo9bo3$39bo5bo3bo5bo27bo6bo5bo9bo3$42bo9bo27bo2bo2bo6bo12bo3$106bo58bo9bo2$111bo3bo2bo2bo2bo2bo2bo3bo27bo5bo$3bo102bo5b22o38bo5bo$87bo2bo21bo20bo$81bo4b6o4bo15bo20bo34bo$o5bo75b4o6b4o10bo4b2ob2o14b2ob2o37bo5bo$82bo2bobo4bo2bo16bo20bo31bo$82bo2bo6bo2bo16bo20bo$o5bo74b2ob2o3b2ob2ob2o9bo5b22o28bo9bo5bo$82bo2bo6bo2bo15bo3bo2bo2bo2bo2bo2bo3bo$82bo2bobo4bo2bo$o5bo75b4o6b4o10bo55bo2bo2bo6bo$81bo4b6o4bo20bo3bo2bo3bo14bo7bo4bo$87bo2bo27b10o$3bo11bo90bo11bo8bo12bo5bo$12bo105bob2o5bo22bo5bo$81bo3bo2bo2bo3bo21b2o8b2o$15bo66b13o11bo11bo5b2obo18bo$46bo2bo32bo11bo23bob2o5bo22bo2bo2bo$47b2o33bob2o8bo22b2o8b2o14bo$15bo29b2o2b2o30b2o8b2ob2o10bo11bo5b2obo$47b2o33bob2o8bo23bo8bo12bo15bo$46bo2bo32bo11bo23b10o$15bo66b13o11bo10bo3bo2bo3bo$81bo3bo2bo2bo3bo44bo2bo2bo9bo$162bo2bo8bo$3bo8bo2bo2bo87bo13bo2bo2bo$83bo3bo2bo3bo19bo4b9o4bo$o5bo32bo2bo7bo3bo3bo25b10o21b4o9b4o35bo3bo5bo$40b2o9b7o26bo8bo12bo8bo2bo6b2obo2bo$38b2o2b2o7bo5bo26bobo3bo2bo21bo2bobo7bo2bo$6bo33b2o9bo2bo2bo25b2o6bob2o19b2ob2o2bobo4b2ob2o29bo2bo5bo5bo$36bo8bo4b2obobob2o25bo8bo12bo8bo2bobo7bo2bo$3bo36b2o9bo2bo2bo26bo8bo21bo2bo6b2obo2bo$38b2o2b2o7bo5bo25b2obo6b2o20b4o9b4o35bo3bo5bo$o39b2o9b7o26bo2bo3bobo12bo7bo4b9o4bo$39bo2bo7bo3bo3bo25bo8bo26bo2bo2bo$84b10o68bo2bo8bo$o2bo2bo5bo2bo67bo3bo2bo3bo11bo33bo2bo8bo$121bo2bo24bo$49bo3bo2bo3bo54bo4b6o4bo$17bo20bo2bo8b10o46bo9b4o6b4o15bo6bo$35bo8bo5bo8bo56bo2bobo4bo2bo$38bo2bo8bo2bo3bobo56bo2bo6bo2bo$12bo2bo22bo2bo7b2obo6b2o45bo8b2ob2obob2ob2ob2o9bo2bo8bo$38bo2bo8bo2bo3bobo56bo2bo6bo2bo$35bo8bo5bo8bo56bo2bo6bo2bo$17bo20bo2bo8b10o46bo9b4o6b4o15bo6bo$49bo3bo2bo3bo54bo4b6o4bo$121bo2bo$bo4bo5bo2bo90bo33bo2bo5bo2bo2bo6bo2bo6bo2bo2$24bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo11bo3bo2bo3bo18bo3bo2bo2bo2bo2bo3bo$o5bo18b7o6b7o6b7o6b7o13b10o12bo7b19o34bo9bo$25bo5bo6bo5bo6bo5bo6bo5bo13bo8bo20bo17bo$25bo2bo2bo6bob2o2bo6bob2o2bo6bob2o2bo13bo3bo4bo20bob2o14bo$o2bo2bo17b2obo3b2o4b2obobob2o4b2o3bob2o4b2o3bob2o11b2o2bo2bo2b2o11bo6b2o3bo10b2ob2o28bo2bo6bo2bo$25bo5bo6bo5bo6bo2bo2bo6bobo3bo13bo4bo3bo20bob2o14bo$25bo5bo6bo5bo6bo5bo6bo5bo13bo8bo20bo17bo$6bo18b7o6b7o6b7o6b7o13b10o12bo7b19o34bo9bo$24bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo11bo3bo2bo3bo18bo3bo2bo2bo2bo2bo3bo2$6bo5bo2bo2bo87bo33bo2bo9bo8bo2bo6bo2bo$118bo2bo2bo2bo28bo$25bo3bo2bo2bo2bo2bo3bo4bo3bo2bo2bo2bo2bo3bo43bo4b8o4bo$12bo13b19o6b19o36bo8b4o8b4o14bo4bo$26bo17bo6bo17bo45bo2bo3b2o3bo2bo$26bobob2o4bob2obo2bo6bobo2bo3bo3bo4bo45bo2bo3b2o3bo2bo$12bo2bo9b2o8bo8b2o4b2obobobobo5b3ob2o35bo7b2ob2o8b2ob2o8bo2bo6bo2bo$26bo2bob2obo4b2obobo6bobo2bo3bo3bo4bo45bo2bo8bo2bo$26bo17bo6bo17bo45bo2bo8bo2bo25bo$18bo7b19o6b19o36bo8b4o8b4o14bo4bo$25bo3bo2bo2bo2bo2bo3bo4bo3bo2bo2bo2bo2bo3bo43bo4b8o4bo$118bo2bo2bo2bo27bo$3bo8bo2bo90bo33bo2bo8bo10bo4bo6bo$6bo23bo3bo2bo3bo4bo4bo8bo4bo18bo2bo2bo2bo$31b10o6b4o10b4o20b8o20bo3bo2bo2bo2bo2bo3bo$o30bo8bo6bo2bo10bo2bo15bo2b2o8b2o2bo8bo7b19o29bo5bo3bo5bo$31bob2o2bo2bo6bo2bo3bo6bo2bo16b2obo8bob2o17bo17bo$30b2ob2o3bob2o4b2ob2o10b2ob2o15bo2bob2o2b2obo2bo17bobo13bobo$o2bo27bo8bo6bo2bo6bo3bo2bo16bob2o8b2obo9bo6b2obo5bobo5bob2o28bo2bo2bo3bo5bo$31bo8bo6bo2bo6bo3bo2bo15b2o2bo8bo2b2o16bobo13bobo$6bo23b2obo3b2ob2o4b2ob2o10b2ob2o15bo2bo8bo2bo17bo17bo$o30bo2bo2b2obo6bo2bo3bo6bo2bo16bo2b10o2bo9bo7b19o35bo3bo5bo$31bo8bo6bo2bo10bo2bo16b3o3bo2bo3b3o16bo3bo2bo2bo2bo2bo3bo$5bo25b10o6b4o10b4o15bo3bo8bo3bo$2bo9bo2bo2bo11bo3bo2bo3bo4bo4bo8bo4bo40bo34bo4bo6bo14bo6bo$156bo$78bo3bo2bo2bo2bo2bo3bo17bo3bo2bo2bo3bo$18bo21bo3bo2bo2bo3bo24b19o8bo10b13o10bo5bo3bo$41b13o25bo17bo19bo11bo$41bo11bo25bobo6bo8bo19bo2bo8bo$17bo23bobo2bo3bo2bo24b2o4bobo4bo2b2ob2o7bo9b2obo6b2ob2o9bo2bo2bo3bo2bo$40b2o5bo5b2o24bobo6bo8bo19bo11bo$41bo2bo3bo2bobo25bo17bo19bo11bo26bo$16bo24bo11bo25b19o8bo10b13o16bo3bo$41b13o24bo3bo2bo2bo2bo2bo3bo17bo3bo2bo2bo3bo$40bo3bo2bo2bo3bo100bo$3bo11bo90bo39bo5bo11bo9bo9bo$o5bo69bo4bo14bo4bo15bo3bo2bo3bo38bo19bo$42bo3bo2bo3bo23b4o16b4o17b10o43bo5bo$43b10o24bo2bo16bo2bo5bo11bo8bo33bo19bo$o5bo36bo8bo24bo2bo3bo12bo2bo17bo8bo$43bo2bo5bo23b2ob2o16b2ob2o15b2o2b2o4b2o48bo$3bo38b2obo3b2ob2o23bo2bo6bo9bo2bo5bo11bo8bo33bo2bo16bo2bo$43bo8bo24bo2bo6bo9bo2bo17bo8bo46bo$o5bo36bo8bo23b2ob2o16b2ob2o15b2o5bo2b2o38bo19bo$43b10o24bo2bo3bo12bo2bo5bo11bo8bo33bo9bo9bo$42bo3bo2bo3bo23bo2bo16bo2bo17bo8bo$o5bo70b4o16b4o17b10o38bo19bo$3bo72bo4bo14bo4bo4bo10bo3bo2bo3bo34bo7bo2bo2bo5bo!

A rule that doesn't seem to have any obvious oscillators is B4/S3, even though many similar ones do. I haven't managed to prove anything about it though. Has anyone ever looked into it?

Edit: I found a couple more periods so figured I should make a proper stamp collection out of them.

Layz Boi · Post by **Layz Boi** » February 6th, 2026, 5:57 pm

Here are some oscillators I found through the past few weeks>:

Code: Select all

x = 19, y = 19, rule = B2456/S127
7b5o$6b2obob2o$3b3o7b3o$2b4ob5ob4o$2b4obobobob4o$2b3o4bo4b3o$bo4b3ob3o
4bo$2ob2ob2obob2ob2ob2o$o2bo2bobobobo2bo2bo$2ob3obobobob3ob2o$o2bo2bob
obobo2bo2bo$2ob2ob2obob2ob2ob2o$bo4b3ob3o4bo$2b3o4bo4b3o$2b4obobobob4o
$2b4ob5ob4o$3b3o7b3o$6b2obob2o$7b5o!

Larger than above, but works in more rules:

Code: Select all

x = 35, y = 35, rule = B2456/S127
12bo9bo2$13bob2ob2obo$10b4ob2ob2ob4o$9b2o6bo6b2o$7bob3ob2obobob2ob3obo
$9b4ob2obob2ob4o$5bo5b2o4bo4b2o5bo$8bob3o4bo4b3obo$4b3o4b2ob2obob2ob2o
4b3o$3b4obo3bob7obo3bob4o$3bob5o2bo9bo2b5obo$o2bo2b6ob3obob3ob6o2bo2bo
$2b2obo6bo2b5o2bo6bob2o$5b2o2b2obo9bob2o2b2o$2b2o2bo2b2ob2o7b2ob2o2bo
2b2o$2b2obo4bo2bo7bo2bo4bob2o$4bob5ob2o7b2ob5obo$2b2obo4bo2bo7bo2bo4bo
b2o$2b2o2bo2b2ob2o7b2ob2o2bo2b2o$5b2o2b2obo9bob2o2b2o$2b2obo6bo2b5o2bo
6bob2o$o2bo2b6ob3obob3ob6o2bo2bo$3bob5o2bo9bo2b5obo$3b4obo3bob7obo3bob
4o$4b3o4b2ob2obob2ob2o4b3o$8bob3o4bo4b3obo$5bo5b2o4bo4b2o5bo$9b4ob2obo
b2ob4o$7bob3ob2obobob2ob3obo$9b2o6bo6b2o$10b4ob2ob2ob4o$13bob2ob2obo2$
12bo9bo!

Code: Select all

x = 17, y = 17, rule = B2456/S128
6bo3bo2$7b3o$8bo$5b2o3b2o$4bo2bobo2bo$o3bobo3bobo3bo$2bo2bo2bo2bo2bo$
2b2o3b3o3b2o$2bo2bo2bo2bo2bo$o3bobo3bobo3bo$4bo2bobo2bo$5b2o3b2o$8bo$
7b3o2$6bo3bo!

Some P2s in B23/S1 rules:

Code: Select all

x = 24, y = 22, rule = B23567/S146
o4bo3bo4bo3bo4bo$2bo2b5o4b5o2bo$2bo5b8o5bo$6obo2b4o2bob6o$bob2o2b3o4b
3o2b2obo$b2ob4obob2obob4ob2o$3o4bobob2obobo4b3o$2bob2obobob2obobob2obo
$2bobobo2bo4bo2bobobo$2b7ob4ob7o$5b4obo2bob4o$2ob2o14b2ob2o$bob7o4b7ob
o$bobobob2ob4ob2obobobo$2obo4bobo2bobo4bob2o$2b2ob2obobo2bobob2ob2o$3b
o2b3obo2bob3o2bo$2b6o2b4o2b6o$bo2bobob2o4b2obobo2bo$4o2b2o8b2o2b4o$b4o
5b4o5b4o$bo2bo2bo2bo2bo2bo2bo2bo!

Code: Select all

x = 40, y = 40, rule = B236/S145678
4bo2bo2bo2bo3bo4bo3bo2bo2bo2bo$2bob4o5b5o4b5o5b4obo$4bo5bo8b2o8bo5bo$o
3bobo7b5o2b5o7bobo3bo$3b3o3b2obo3b8o3bob2o3b3o$b2ob4ob2obob2o8b2obob2o
b4ob2o$3bob3o7bo2b4o2bo7b3obo$2bobob4o4bo2bo4bo2bo4b4obobo$2o2bob4o3bo
3bob2obo3bo3b4obo2b2o$bobo7bo2b3obo2bob3o2bo7bobo$bobo2b4o2b6o4b6o2b4o
2bobo$bobo2bo2bob3o2bo6bo2b3obo2bo2bobo$2o2b2o2bob3o2bo2bo2bo2bo2b3obo
2b2o2b2o$2b2ob3o2b2o2b4ob2ob4o2b2o2b3ob2o$3bo5b2o2b3o8b3o2b2o5bo$obobo
2bob2ob4o2b4o2b4ob2obo2bobobo$2b3ob2ob3obo2b8o2bob3ob2ob3o$3b2obo3bo3b
ob2o4b2obo3bo3bob2o$2ob2o5b2obob2o2b2o2b2obob2o5b2ob2o$bobobo3bo2bo2b
2ob4ob2o2bo2bo3bobobo$bobobo3bo2bo2b2ob4ob2o2bo2bo3bobobo$2ob2o5b2obob
2o2b2o2b2obob2o5b2ob2o$3b2obo3bo3bob2o4b2obo3bo3bob2o$2b3ob2ob3obo2b8o
2bob3ob2ob3o$obobo2bob2ob4o2b4o2b4ob2obo2bobobo$3bo5b2o2b3o8b3o2b2o5bo
$2b2ob3o2b2o2b4ob2ob4o2b2o2b3ob2o$2o2b2o2bob3o2bo2bo2bo2bo2b3obo2b2o2b
2o$bobo2bo2bob3o2bo6bo2b3obo2bo2bobo$bobo2b4o2b6o4b6o2b4o2bobo$bobo7bo
2b3obo2bob3o2bo7bobo$2o2bob4o3bo3bob2obo3bo3b4obo2b2o$2bobob4o4bo2bo4b
o2bo4b4obobo$3bob3o7bo2b4o2bo7b3obo$b2ob4ob2obob2o8b2obob2ob4ob2o$3b3o
3b2obo3b8o3bob2o3b3o$o3bobo7b5o2b5o7bobo3bo$4bo5bo8b2o8bo5bo$2bob4o5b
5o4b5o5b4obo$4bo2bo2bo2bo3bo4bo3bo2bo2bo2bo!

Code: Select all

x = 44, y = 44, rule = B2356/S14
5bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$3bob4o5b4o8b4o5b4obo$5bo4b2o8b4o
8b2o4bo$bo3bo2bobob2o4b2o4b2o4b2obobo2bo3bo$4b3ob2o2bo2b3ob2o2b2ob3o2b
o2b2ob3o$6o3bobob2o3b8o3b2obobo3b6o$bo2bo4bo4bob4o4b4obo4bo4bo2bo$bo7b
ob2ob2ob2ob4ob2ob2ob2obo7bo$2ob2o3bo2bo2b2ob2o6b2ob2o2bo2bo3b2ob2o$4b
4o5b3ob3o4b3ob3o5b4o$2b2o6b3o4b2o2b2o2b2o4b3o6b2o$obo2bob2ob2ob2o2b2ob
o2bob2o2b2ob2ob2obo2bobo$3b2o2bo2bobobo2b3ob2ob3o2bobobo2bo2b2o$3bobo
3bobo3bo2b3o2b3o2bo3bobo3bobo$2o3b5ob2o2bo3b6o3bo2b2ob5o3b2o$bo2bo2b3o
3b2o3bo6bo3b2o3b3o2bo2bo$bo2bobo10bo8bo10bobo2bo$2o2bob7o3b2o2b4o2b2o
3b7obo2b2o$3bob9obo3bo4bo3bob9obo$3b4o2bo2b3o3bob4obo3b3o2bo2b4o$obob
2obo3bob2o2bob6obo2b2obo3bob2obobo$2bo2bobo2bobobo2bob2o2b2obo2bobobo
2bobo2bo$2bo2bobo2bobobo2bob2o2b2obo2bobobo2bobo2bo$obob2obo3bob2o2bob
6obo2b2obo3bob2obobo$3b4o2bo2b3o3bob4obo3b3o2bo2b4o$3bob9obo3bo4bo3bob
9obo$2o2bob7o3b2o2b4o2b2o3b7obo2b2o$bo2bobo10bo8bo10bobo2bo$bo2bo2b3o
3b2o3bo6bo3b2o3b3o2bo2bo$2o3b5ob2o2bo3b6o3bo2b2ob5o3b2o$3bobo3bobo3bo
2b3o2b3o2bo3bobo3bobo$3b2o2bo2bobobo2b3ob2ob3o2bobobo2bo2b2o$obo2bob2o
b2ob2o2b2obo2bob2o2b2ob2ob2obo2bobo$2b2o6b3o4b2o2b2o2b2o4b3o6b2o$4b4o
5b3ob3o4b3ob3o5b4o$2ob2o3bo2bo2b2ob2o6b2ob2o2bo2bo3b2ob2o$bo7bob2ob2ob
2ob4ob2ob2ob2obo7bo$bo2bo4bo4bob4o4b4obo4bo4bo2bo$6o3bobob2o3b8o3b2obo
bo3b6o$4b3ob2o2bo2b3ob2o2b2ob3o2bo2b2ob3o$bo3bo2bobob2o4b2o4b2o4b2obob
o2bo3bo$5bo4b2o8b4o8b2o4bo$3bob4o5b4o8b4o5b4obo$5bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo!

Code: Select all

x = 45, y = 45, rule = B236/S145
5bo4bo3bo4bo5bo4bo3bo4bo$7bo2b5o2bo9bo2b5o2bo$3bo3bobo5bobo4bo4bobo5bo
bo3bo$8b2ob3obobo2b5o2bobob3ob2o$bo4bobo2bo2bob6ob6obo2bo2bobo4bo$4bo
2b3o2b2ob2o2b2o3b2o2b2ob2o2b3o2bo$6o2b5ob3o4b3o4b3ob5o2b6o$bo3bobobobo
3bo2bo2b3o2bo2bo3bobobobo3bo$bob3o4b2obobob4o3b4obobob2o4b3obo$2o3b4o
2bo4b2o2b2ob2o2b2o4bo2b4o3b2o$6bobob3ob3ob2o2bo2b2ob3ob3obobo$6b2ob3ob
3o3b2obob2o3b3ob3ob2o$obob3o3bo3bobo2b2o3b2o2bobo3bo3b3obobo$5bobobobo
b2ob2ob2obob2ob2ob2obobobobo$4bobobob3obo15bob3obobobo$2o4b2o2bobob17o
bobo2b2o4b2o$bob4o2b2o4bob3ob3ob3obo4b2o2b4obo$bob2obob2ob2o2b2o11b2o
2b2ob2obob2obo$3obobob2o3bob2obob2ob2obob2obo3b2obobob3o$4b3ob5o2b2o2b
7o2b2o2b5ob3o$2b2obo2b2ob2o2bo2b2o2bo2b2o2bo2b2ob2o2bob2o$3b2ob2o5bob
2ob2o2bo2b2ob2obo5b2ob2o$3bo2b2obob2o2b2o2b7o2b2o2b2obob2o2bo$3b2ob2o
5bob2ob2o2bo2b2ob2obo5b2ob2o$2b2obo2b2ob2o2bo2b2o2bo2b2o2bo2b2ob2o2bob
2o$4b3ob5o2b2o2b7o2b2o2b5ob3o$3obobob2o3bob2obob2ob2obob2obo3b2obobob
3o$bob2obob2ob2o2b2o11b2o2b2ob2obob2obo$bob4o2b2o4bob3ob3ob3obo4b2o2b
4obo$2o4b2o2bobob17obobo2b2o4b2o$4bobobob3obo15bob3obobobo$5bobobobob
2ob2ob2obob2ob2ob2obobobobo$obob3o3bo3bobo2b2o3b2o2bobo3bo3b3obobo$6b
2ob3ob3o3b2obob2o3b3ob3ob2o$6bobob3ob3ob2o2bo2b2ob3ob3obobo$2o3b4o2bo
4b2o2b2ob2o2b2o4bo2b4o3b2o$bob3o4b2obobob4o3b4obobob2o4b3obo$bo3bobobo
bo3bo2bo2b3o2bo2bo3bobobobo3bo$6o2b5ob3o4b3o4b3ob5o2b6o$4bo2b3o2b2ob2o
2b2o3b2o2b2ob2o2b3o2bo$bo4bobo2bo2bob6ob6obo2bo2bobo4bo$8b2ob3obobo2b
5o2bobob3ob2o$3bo3bobo5bobo4bo4bobo5bobo3bo$7bo2b5o2bo9bo2b5o2bo$5bo4b
o3bo4bo5bo4bo3bo4bo!

Code: Select all

x = 68, y = 68, rule = B236/S14
19bo2bo4bo12bo4bo2bo$17bob4o2bo6bo2bo6bo2b4obo$19bo5bo3bo2b4o2bo3bo5bo
$15bo3bob2ob3o2bo2b4o2bo2b3ob2obo3bo$18b2o4b4obo3b2o3bob4o4b2o$13bo5b
3o2bob2o3bob2obo3b2obo2b3o5bo$16bo2b3o3bob2o10b2obo3b3o2bo$9bo4bobo4b
2obobob2ob2o2b2ob2obobob2o4bobo4bo$11bo3b2o2bo2b6o2bo6bo2b6o2bo2b2o3bo
$7bo4bob3o6b5o12b5o6b3obo4bo$10b2o6b2ob2ob2o4bob4obo4b2ob2ob2o6b2o$8bo
bo2bo3b6o6bobo4bobo6b6o3bo2bobo$9bo2bob2o2bob2o4bobo10bobo4b2obo2b2obo
2bo$5bo5bobob2o3b2o2bo3bo2bob2obo2bo3bo2b2o3b2obobo5bo$7bobo2bob2obo2b
obobobo4b6o4bobobobo2bob2obo2bobo$3bo4b2o2b4o2b5ob4o3b6o3b4ob5o2b4o2b
2o4bo$6b4o3bo7b2o3b3o2bob2obo2b3o3b2o7bo3b4o$bo9bo2bo4bo4b2ob2o10b2ob
2o4bo4bo2bo9bo$4bo5b3o2bo2b2o2b2o6bo6bo6b2o2b2o2bo2b3o5bo$7obob2o3bob
4ob2o2bo2b3ob2ob3o2bo2b2ob4obo3b2obob7o$bo3b2o4b5o3b2ob2o2b2o3b6o3b2o
2b2ob2o3b5o4b2o3bo$bobob3o2b4ob2o4b2obo4bob6obo4bob2o4b2ob4o2b3obobo$
2obo3b2ob2o2b3ob6obo2bob2o4b2obo2bob6ob3o2b2ob2o3bob2o$8b2o8b3ob5o5b4o
5b5ob3o8b2o$3b3ob4o2b3obo3bobob5obo4bob5obobo3bob3o2b4ob3o$b4obob3o4bo
bo4b3obob2o8b2obob3o4bobo4b3obob4o$3b3ob3o2bob3o2b2o2b3o2b3o2b2o2b3o2b
3o2b2o2b3obo2b3ob3o$o3b3ob2o5b3o2bo3bo2b2ob2ob2ob2ob2o2bo3bo2b3o5b2ob
3o3bo$6b2o4b2o2b2o4bob4o3b2o2b2o3b4obo4b2o2b2o4b2o$2b3o2bo3bo7bobo2b3o
3b8o3b3o2bobo7bo3bo2b3o$8bobo7b2o2bo3b2ob2o2b2o2b2ob2o3bo2b2o7bobo$5bo
bo3bob4o2b4obo2b3o2b4o2b3o2bob4o2b4obo3bobo$b3o3bo2bo3b2o4b2obo4b2obob
2obob2o4bob2o4b2o3bo2bo3b3o$2b4o4bo2b4o2b3obo2b2ob4o2b4ob2o2bob3o2b4o
2bo4b4o$2b4o4bo2b4o2b3obo2b2ob4o2b4ob2o2bob3o2b4o2bo4b4o$b3o3bo2bo3b2o
4b2obo4b2obob2obob2o4bob2o4b2o3bo2bo3b3o$5bobo3bob4o2b4obo2b3o2b4o2b3o
2bob4o2b4obo3bobo$8bobo7b2o2bo3b2ob2o2b2o2b2ob2o3bo2b2o7bobo$2b3o2bo3b
o7bobo2b3o3b8o3b3o2bobo7bo3bo2b3o$6b2o4b2o2b2o4bob4o3b2o2b2o3b4obo4b2o
2b2o4b2o$o3b3ob2o5b3o2bo3bo2b2ob2ob2ob2ob2o2bo3bo2b3o5b2ob3o3bo$3b3ob
3o2bob3o2b2o2b3o2b3o2b2o2b3o2b3o2b2o2b3obo2b3ob3o$b4obob3o4bobo4b3obob
2o8b2obob3o4bobo4b3obob4o$3b3ob4o2b3obo3bobob5obo4bob5obobo3bob3o2b4ob
3o$8b2o8b3ob5o5b4o5b5ob3o8b2o$2obo3b2ob2o2b3ob6obo2bob2o4b2obo2bob6ob
3o2b2ob2o3bob2o$bobob3o2b4ob2o4b2obo4bob6obo4bob2o4b2ob4o2b3obobo$bo3b
2o4b5o3b2ob2o2b2o3b6o3b2o2b2ob2o3b5o4b2o3bo$7obob2o3bob4ob2o2bo2b3ob2o
b3o2bo2b2ob4obo3b2obob7o$4bo5b3o2bo2b2o2b2o6bo6bo6b2o2b2o2bo2b3o5bo$bo
9bo2bo4bo4b2ob2o10b2ob2o4bo4bo2bo9bo$6b4o3bo7b2o3b3o2bob2obo2b3o3b2o7b
o3b4o$3bo4b2o2b4o2b5ob4o3b6o3b4ob5o2b4o2b2o4bo$7bobo2bob2obo2bobobobo
4b6o4bobobobo2bob2obo2bobo$5bo5bobob2o3b2o2bo3bo2bob2obo2bo3bo2b2o3b2o
bobo5bo$9bo2bob2o2bob2o4bobo10bobo4b2obo2b2obo2bo$8bobo2bo3b6o6bobo4bo
bo6b6o3bo2bobo$10b2o6b2ob2ob2o4bob4obo4b2ob2ob2o6b2o$7bo4bob3o6b5o12b
5o6b3obo4bo$11bo3b2o2bo2b6o2bo6bo2b6o2bo2b2o3bo$9bo4bobo4b2obobob2ob2o
2b2ob2obobob2o4bobo4bo$16bo2b3o3bob2o10b2obo3b3o2bo$13bo5b3o2bob2o3bob
2obo3b2obo2b3o5bo$18b2o4b4obo3b2o3bob4o4b2o$15bo3bob2ob3o2bo2b4o2bo2b
3ob2obo3bo$19bo5bo3bo2b4o2bo3bo5bo$17bob4o2bo6bo2bo6bo2b4obo$19bo2bo4b
o12bo4bo2bo!

Code: Select all

x = 54, y = 54, rule = B2367/S14
21bo2bo4bo2bo$13bo4bo2b5o2b5o2bo4bo$15bo2b3o2b3o2b3o2b3o2bo$11bo4bo5b
3o4b3o5bo4bo$14b3obo3bo2bo2bo2bo3bob3o$12bobobo2bob4ob2ob4obo2bobobo$
13b3o4bob2o2b2o2b2obo4b3o$9bo3b2ob4ob2o8b2ob4ob2o3bo$11bo3b2ob2ob2obo
4bob2ob2ob2o3bo$7bo3bobobo4bo4b4o4bo4bobobo3bo$10bobo3bob2obob2o4b2obo
b2obo3bobo$3bo4b2o2bo5b2o4b6o4b2o5bo2b2o4bo$5bo4b2o2b2obob2o2b8o2b2obo
b2o2b2o4bo$bo4b2obo3b3o2b4ob2ob2ob2ob4o2b3o3bob2o4bo$4b4o4b3o3bob3o8b
3obo3b3o4b4o$2bobobob2o2b2obo3b2o3bo4bo3b2o3bob2o2b2obobobo$3b3ob2obo
6bobo2bo3b2o3bo2bobo6bob2ob3o$7bo4bo3b2ob3o3bo2bo3b3ob2o3bo4bo$b2obo2b
2ob2ob2o3b5obo4bob5o3b2ob2ob2o2bob2o$2bo2bob2ob4ob4o2b2o2bo2bo2b2o2b4o
b4ob2obo2bo$2bo3bo2bo2b4ob2ob2o3bo2bo3b2ob2ob4o2bo2bo3bo$2o3bob2obo2b
2o2b6o2bo2bo2b6o2b2o2bob2obo3b2o$bob6o5bobob2ob2o2bo2bo2b2ob2obobo5b6o
bo$b3ob2o3bob2o11bo2bo11b2obo3b2ob3o$4obo2bob4obo2bo5bo4bo5bo2bob4obo
2bob4o$b2obo4bob2o4bob5obo2bob5obo4b2obo4bob2o$5b2o2bob3o2bo20bo2b3obo
2b2o$5b2o2bob3o2bo20bo2b3obo2b2o$b2obo4bob2o4bob5obo2bob5obo4b2obo4bob
2o$4obo2bob4obo2bo5bo4bo5bo2bob4obo2bob4o$b3ob2o3bob2o11bo2bo11b2obo3b
2ob3o$bob6o5bobob2ob2o2bo2bo2b2ob2obobo5b6obo$2o3bob2obo2b2o2b6o2bo2bo
2b6o2b2o2bob2obo3b2o$2bo3bo2bo2b4ob2ob2o3bo2bo3b2ob2ob4o2bo2bo3bo$2bo
2bob2ob4ob4o2b2o2bo2bo2b2o2b4ob4ob2obo2bo$b2obo2b2ob2ob2o3b5obo4bob5o
3b2ob2ob2o2bob2o$7bo4bo3b2ob3o3bo2bo3b3ob2o3bo4bo$3b3ob2obo6bobo2bo3b
2o3bo2bobo6bob2ob3o$2bobobob2o2b2obo3b2o3bo4bo3b2o3bob2o2b2obobobo$4b
4o4b3o3bob3o8b3obo3b3o4b4o$bo4b2obo3b3o2b4ob2ob2ob2ob4o2b3o3bob2o4bo$
5bo4b2o2b2obob2o2b8o2b2obob2o2b2o4bo$3bo4b2o2bo5b2o4b6o4b2o5bo2b2o4bo$
10bobo3bob2obob2o4b2obob2obo3bobo$7bo3bobobo4bo4b4o4bo4bobobo3bo$11bo
3b2ob2ob2obo4bob2ob2ob2o3bo$9bo3b2ob4ob2o8b2ob4ob2o3bo$13b3o4bob2o2b2o
2b2obo4b3o$12bobobo2bob4ob2ob4obo2bobobo$14b3obo3bo2bo2bo2bo3bob3o$11b
o4bo5b3o4b3o5bo4bo$15bo2b3o2b3o2b3o2b3o2bo$13bo4bo2b5o2b5o2bo4bo$21bo
2bo4bo2bo!

Edit 2/15/2026:
P4 for B2456(78)/S12(8):

Code: Select all

x = 24, y = 24, rule = B2456/S12
11bo3bo2$8b2o2bo$5bo2bo2b2o2bo3bo$7b5ob3obob2o$3bo2bobo2b2o2b3o$5b3o2b
o2bo2b4o$4bob4ob2ob2ob2o$2b4obo2bo2bob2ob3o2bo$2bobo2bobob2obobo2bo$4b
obobobo2bobobobo$o2b3obobo2bobobobob2o$2b2obobobobo2bobob3o2bo$4bobobo
bo2bobobobo$4bo2bobob2obobo2bobo$o2b3ob2obo2bo2bob4o$5b2ob2ob2ob4obo$
4b4o2bo2bo2b3o$6b3o2b2o2bobo2bo$3b2obob3ob5o$4bo3bo2b2o2bo2bo$11bo2b2o
2$8bo3bo!

And a couple smaller ones that don't work in as many rules:

Code: Select all

x = 11, y = 9, rule = B24568/S12
2b5o$b4ob2o$5o2b3o$2o2bob4o$2o3b3ob2o$2o2bob4o$5o2b3o$b4ob2o$2b5o!

Code: Select all

x = 18, y = 18, rule = B24567/S12
5bo3bo$bo10b4o$9bo2b5o$3b3ob2obob2ob2o$3b3ob4o3b3o$o2b2obo4bo2b3o$5bo
2bobobo$3b2o3bo2bob2o$3b2ob2o5bobobo$obobo5b2ob2o$3b2obo2bo3b2o$5bobob
o2bo$b3o2bo4bob2o2bo$b3o3b4ob3o$b2ob2obob2ob3o$b5o2bo$2b4o10bo$8bo3bo!

And some more P2s in B23/S1 rules:

Code: Select all

x = 20, y = 20, rule = B235/S16
bo2bo2bo2bo3bo4bo$5o5b5o2bo$b3o3bo2bo4bo2bo$b2o7bob4o$2o2b3o3b3o3b2o$
5bobobobobob2ob2o$4b2o2bobo2bo2bobo$obo2bob3o3bob2obo$6b3obo3b2o2bo$5b
obo2b2obob5o$5obob2o2bobo$bo2b2o3bob3o$bob2obo3b3obo2bobo$bobo2bo2bobo
2b2o$2ob2obobobobobo$2b2o3b3o3b3o2b2o$4b4obo7b2o$bo2bo4bo2bo3b3o$2bo2b
5o5b5o$o4bo3bo2bo2bo2bo!

Code: Select all

x = 18, y = 18, rule = B2356/S16
o4bo6bo4bo$2bo2b3o2b3o2bo$bo2bobo4bobo2bo$4b3ob2ob3o$2b2o2b2o2b2o2b2o$
2obobob4obobob2o$b4ob2o2b2ob4o$bo2b3o4b3o2bo$3bobo6bobo$3bobo6bobo$bo
2b3o4b3o2bo$b4ob2o2b2ob4o$2obobob4obobob2o$2b2o2b2o2b2o2b2o$4b3ob2ob3o
$bo2bobo4bobo2bo$2bo2b3o2b3o2bo$o4bo6bo4bo!

Code: Select all

x = 10, y = 10, rule = B2356/S16
bo2bo4bo$5o2bo$b3obo2bo$b4o$2obobobo$2bobobob2o$5b4o$bo2bob3o$2bo2b5o$
o4bo2bo!

Edit 2/22/2026: some more:

Code: Select all

x = 59, y = 59, rule = B2/S167
8bo41bo$13bo5bo19bo5bo$6bo3bo2b2o9bo3bobo3bo9b2o2bo3bo$10bo3bo2bo3bo3b
4ob4o3bo3bo2bo3bo$4bo12bo3bo2bob3ob3obo2bo3bo12bo$7bo2b2o14bo5bo14b2o
2bo$2bo7bo2b2o3b2o9bo9b2o3b2o2bo7bo$5bo3b2o12b2o9b2o12b2o3bo$o8bo6bo4b
o5bo3bo5bo4bo6bo8bo$7b2o3bo3bo4bo5bo3bo5bo4bo3bo3b2o$2b2ob3o4bo5bo5bo
9bo5bo5bo4b3ob2o$5bo9bo4bobobobob3obobobobo4bo9bo$9b2o3b5ob2o15b2ob5o
3b2o$b2o3bo8b2o5b3ob3ob3ob3o5b2o8bo3b2o$2b2o2bo5bob4o23b4obo5bo2b2o$
11b4o2bo2bo3b4obob4o3bo2bo2b4o$8b2o2b3o2bo2bo8bo8bo2bo2b3o2b2o$3b2o7bo
b3o25b3obo7b2o$6bo3bobo8b2ob3o5b3ob2o8bobo3bo$bo4bo15b2o3bo3bo3b2o15bo
4bo$11b2o2b2o5b2o4bobo4b2o5b2o2b2o$3b2o3b2o2bo5bo2b4o3bobo3b4o2bo5bo2b
2o3b2o$11bobo4b4o2b4o3b4o2b4o4bobo$7bo5bo5b3o2b3o5b3o2b3o5bo5bo$2bobo
2bo2b2obobo2bo2b4o2bo3bo2b4o2bo2bobob2o2bo2bobo$3bo11bo2bo3b2o4bobo4b
2o3bo2bo11bo$3b3o5bobobo2bo3b2o4bobo4b2o3bo2bobobo5b3o$3b2o3b2o3bobo3b
o2bobo2bo3bo2bobo2bo3bobo3b2o3b2o$2b3o6bobo6b2o3b2o5b2o3b2o6bobo6b3o$
6bo4bo3b2o25b2o3bo4bo$2b3o6bobo6b2o3b2o5b2o3b2o6bobo6b3o$3b2o3b2o3bobo
3bo2bobo2bo3bo2bobo2bo3bobo3b2o3b2o$3b3o5bobobo2bo3b2o4bobo4b2o3bo2bob
obo5b3o$3bo11bo2bo3b2o4bobo4b2o3bo2bo11bo$2bobo2bo2b2obobo2bo2b4o2bo3b
o2b4o2bo2bobob2o2bo2bobo$7bo5bo5b3o2b3o5b3o2b3o5bo5bo$11bobo4b4o2b4o3b
4o2b4o4bobo$3b2o3b2o2bo5bo2b4o3bobo3b4o2bo5bo2b2o3b2o$11b2o2b2o5b2o4bo
bo4b2o5b2o2b2o$bo4bo15b2o3bo3bo3b2o15bo4bo$6bo3bobo8b2ob3o5b3ob2o8bobo
3bo$3b2o7bob3o25b3obo7b2o$8b2o2b3o2bo2bo8bo8bo2bo2b3o2b2o$11b4o2bo2bo
3b4obob4o3bo2bo2b4o$2b2o2bo5bob4o23b4obo5bo2b2o$b2o3bo8b2o5b3ob3ob3ob
3o5b2o8bo3b2o$9b2o3b5ob2o15b2ob5o3b2o$5bo9bo4bobobobob3obobobobo4bo9bo
$2b2ob3o4bo5bo5bo9bo5bo5bo4b3ob2o$7b2o3bo3bo4bo5bo3bo5bo4bo3bo3b2o$o8b
o6bo4bo5bo3bo5bo4bo6bo8bo$5bo3b2o12b2o9b2o12b2o3bo$2bo7bo2b2o3b2o9bo9b
2o3b2o2bo7bo$7bo2b2o14bo5bo14b2o2bo$4bo12bo3bo2bob3ob3obo2bo3bo12bo$
10bo3bo2bo3bo3b4ob4o3bo3bo2bo3bo$6bo3bo2b2o9bo3bobo3bo9b2o2bo3bo$13bo
5bo19bo5bo$8bo41bo!

Code: Select all

x = 56, y = 56, rule = B278/S168
14bo5bo14bo5bo$11bo6bo18bo6bo$15bobo20bobo$9bo3bo6b4o8b4o6bo3bo$12bo8b
2o10b2o8bo$7bo10bob3o10b3obo10bo$11bo2b5obobo10bobob5o2bo$5bo9b6o3bo6b
o3b6o9bo$15bo24bo$3bo22bo2bo22bo$26bo2bo$bo4bo42bo4bo$4bo17bobo6bobo
17bo$3bo20b2o4b2o20bo$o5bo13bo14bo13bo5bo$2bo3b3o38b3o3bo$6b2o10bo6b2o
2b2o6bo10b2o$2bo3b2o16b2o4b2o16b2o3bo$bo3b3o8bo22bo8b3o3bo$7bo40bo$o2b
ob3o6bo10b2o2b2o10bo6b3obo2bo$3b3o18b2o4b2o18b3o$3b4o5bo14b2o14bo5b4o$
3bo23b2o23bo$7bo4b2o3bo3bo3b6o3bo3bo3b2o4bo$13bo2b2o2b2o2bo6bo2b2o2b2o
2bo$9b2o5bo3bo3bo6bo3bo3bo5b2o$22b3o6b3o$22b3o6b3o$9b2o5bo3bo3bo6bo3bo
3bo5b2o$13bo2b2o2b2o2bo6bo2b2o2b2o2bo$7bo4b2o3bo3bo3b6o3bo3bo3b2o4bo$
3bo23b2o23bo$3b4o5bo14b2o14bo5b4o$3b3o18b2o4b2o18b3o$o2bob3o6bo10b2o2b
2o10bo6b3obo2bo$7bo40bo$bo3b3o8bo22bo8b3o3bo$2bo3b2o16b2o4b2o16b2o3bo$
6b2o10bo6b2o2b2o6bo10b2o$2bo3b3o38b3o3bo$o5bo13bo14bo13bo5bo$3bo20b2o
4b2o20bo$4bo17bobo6bobo17bo$bo4bo42bo4bo$26bo2bo$3bo22bo2bo22bo$15bo
24bo$5bo9b6o3bo6bo3b6o9bo$11bo2b5obobo10bobob5o2bo$7bo10bob3o10b3obo
10bo$12bo8b2o10b2o8bo$9bo3bo6b4o8b4o6bo3bo$15bobo20bobo$11bo6bo18bo6bo
$14bo5bo14bo5bo!

Code: Select all

x = 25, y = 25, rule = B26/S167
10bo3bo$7bo9bo$11bobo$5bo3bo5bo3bo$9bo2bo2bo$3bo17bo$9bo5bo$bo7bo5bo7b
o$10b2ob2o$3b2ob2o9b2ob2o$o7bo7bo7bo$2bo5bo7bo5bo$4bo15bo$2bo5bo7bo5bo
$o7bo7bo7bo$3b2ob2o9b2ob2o$10b2ob2o$bo7bo5bo7bo$9bo5bo$3bo17bo$9bo2bo
2bo$5bo3bo5bo3bo$11bobo$7bo9bo$10bo3bo!

Code: Select all

x = 16, y = 16, rule = B26/S167
$bo12bo$3bobo4bobo$2bo3bo2bo3bo2$2bo3bo2bo3bo$3bobo4bobo3$3bobo4bobo$
2bo3bo2bo3bo2$2bo3bo2bo3bo$3bobo4bobo$bo12bo!

Code: Select all

x = 26, y = 26, rule = B23567/S16
bo2bo4bo2bo4bo2bo4bo$5o4b4o4b4o2bo$b3obob3o4b2o5bo2bo$b2o2bobob3ob2o2b
obobo$2o2b3o6b5o4b2o$2b3ob2o2b3o3b2o2bo3b2o$4b2o3bo3b3o2bo3bobo$2b2obo
2b2ob2o5b2o4bo$2bo4bobo2bob2obo2b3ob2o$4o2b3o4b2obo3b2o$bobobo6bo4bobo
bobo$bobobobo5b2ob2obob3o$2o3bob2obobobobo2bob2o$3b2obo2bobobobob2obo
3b2o$2b3obob2ob2o5bobobobo$2bobobobo4bo6bobobo$4b2o3bob2o4b3o2b4o$2ob
3o2bob2obo2bobo4bo$bo4b2o5b2ob2o2bob2o$bobo3bo2b3o3bo3b2o$2o3bo2b2o3b
3o2b2ob3o$2b2o4b5o6b3o2b2o$4bobobo2b2ob3obobo2b2o$bo2bo5b2o4b3obob3o$
2bo2b4o4b4o4b5o$o4bo2bo4bo2bo4bo2bo!

Code: Select all

x = 52, y = 24, rule = B23568/S1467
bo2bo4bo2bo2bo20bo2bo2bo4bo2bo$b4o4b4o5bo2bo2bo2bo2bo2bo5b4o4b4o$4o2b
2o7b4o5b4o5b4o7b2o2b4o$bo2b2o2b2ob3obo5b2o6b2o5bob3ob2o2b2o2bo$2b6o4bo
3b4ob2ob4ob2ob4o3bo4b6o$2bo4bob4obo3bob2o3b2o3b2obo3bob4obo4bo$bob4obo
2b4o2bob2obob4obob2obo2b4o2bob4obo$3o9bo2bobob2obo6bob2obobo2bo9b3o$b
2ob2ob2ob2obobob2ob3o2b2o2b3ob2obobob2ob2ob2ob2o$bobob4o4bobobobobo3b
2o3bobobobobo4b4obobo$bob4ob2obobobo2bo2b3o4b3o2bo2bobobob2ob4obo$2ob
2o4bob3ob6o3bo2bo3b6ob3obo4b2ob2o$5bobo2b2o2bo6b3ob2ob3o6bo2b2o2bobo$
2b3ob3o3bobob2ob2o3b4o3b2ob2obobo3b3ob3o$ob2ob3obob2obobobobob3o2b3obo
bobobob2obob3ob2obo$6b2ob2o3bobo2bo3b2o2b2o3bo2bobo3b2ob2o$3b3o2b4ob2o
bobo5b4o5bobob2ob4o2b3o$3o4bobo5b2obo2bobob2obobo2bob2o5bobo4b3o$b7o5b
ob3obo4b4o4bob3obo5b7o$bob4obob2ob3o4bob2ob2ob2obo4b3ob2obob4obo$4o2b
2ob2o3bob5o4b2o4b5obo3b2ob2o2b4o$2bobo5b5o4b5o4b5o4b5o5bobo$2bo2b4o4b
3o3bo3bo4bo3bo3b3o4b4o2bo$o4bo2bo4bo24bo4bo2bo4bo!

hibiscus · Post by **hibiscus** » April 24th, 2026, 2:18 am

p23 in B356/S1456 found yesterday:

Code: Select all

x = 13, y = 13, rule = B356/S1456
5bobo$4b5o$3b3ob3o$2b2obobob2o$b2o2b3o2b2o$13o$bo2b2ob2o2bo$13o$b2o2b
3o2b2o$2b2obobob2o$3b3ob3o$4b5o$5bobo!

Edit (2026/04/24 16:12): p41 in Corrosion of Conformity, found 10 minutes ago:

Code: Select all

x = 23, y = 23, rule = B3/S124
8b2o3b2o$9bo3bo$7b3o3b3o5$2bo17bo$obo17bobo$3o17b3o4$3o17b3o$obo17bob
o$2bo17bo5$7b3o3b3o$9bo3bo$8b2o3b2o!

Layz Boi · Post by **Layz Boi** » May 2nd, 2026, 3:05 pm

Code: Select all

#C works in B26(78)/S168
x = 60, y = 60, rule = B26/S168
3bo5bo10bo5bo$5bo18bo$6bobo12bobo$3bo5bobo6bobo5bo$3o9bob2obo9b3o$b2o
5bo12bo5b2o$b2o24b2o$b3o10b2o10b3o$b4o8b2o14bo2bo$b4o$2b3o26bo$3b2o9b
2o14bo$3b2o12bo$3b3o3bo2bo4b2o8bo2bo$3b4o2b4obo11b2o2bo$3b4o3b3obo4bo
3bo2bo$3b3o5bobob2o2bo2b2o6bo$3b2o9bo7bo8bo$3b2o10b3o$2b3o9b3o14bo2bo$
b4o10b2o12bo2bo$b4o11b2o$b3o28bo$b2o30bo$b2o12b2o10bo$3o11b2o13bo2bo2b
o$3bo4bo21bo3b7o$6bo20bo5bob7o8bo$5bo7b2o9b3o5b3o3b13o$3bo4bo3b4o9b2o
6b2o4b12o$9b12o4b2o6b2o9b4o3bo4bo$9b13o3b3o5b3o9b2o7bo$9bo8b7obo5bo20b
o$19b7o3bo21bo4bo$24bo2bo2bo13b2o11b3o$32bo10b2o12b2o$26bo30b2o$27bo
28b3o$42b2o11b4o$27bo2bo12b2o10b4o$25bo2bo14b3o9b3o$42b3o10b2o$28bo8bo
7bo9b2o$29bo6b2o2bo2b2obobo5b3o$33bo2bo3bo4bob3o3b4o$29bo2b2o11bob4o2b
4o$29bo2bo8b2o4bo2bo3b3o$42bo12b2o$29bo14b2o9b2o$28bo26b3o$55b4o$27bo
2bo14b2o8b4o$31b3o10b2o10b3o$31b2o24b2o$31b2o5bo12bo5b2o$30b3o9bob2obo
9b3o$33bo5bobo6bobo5bo$36bobo12bobo$35bo18bo$33bo5bo10bo5bo!

Code: Select all

#C works in B2(8)/S167(8)
x = 77, y = 77, rule = B2/S167
25bo35bo6bo$7bobo4bobo3bo9bo4bo2bo2bo4bo3bobo3bo$9b6ob4o3bo3bo3b4o4b2o
6b4ob4o3bo3bo2bo3bo$5bo3b6ob3obo2bo3bo2bob2obo2bobo2b2o2b4ob3obo2bo3b
o2bo$9bo4bo2bo12bob2obo14bobobo17bo$3bo4bobo2bobobob2obobo2b4o5bob3o6b
o2b2o2bob2obobo6bo$11b2o9bo3bob3o2b2o12bo11bo2b2o2b2o6bo$bo15bo2b2obo
b2o2bo2b5ob3ob2o8b2o2bob3o3bo2bo$5bo3b2o6bo9bobobob2o10bobobobo4bob3o
b4o2bo2bo4bo$b4o3bo2bob2o7b2o9bo2bob3o4bobobo2b2obo2bo2b3o5b2o$2b2obo
2bo2bo4b2o3bo3bobobobo2b2o7b2o2bobobo4b3o3b2o6bo2b2o$2b2o2bo2b2o5bobo
bo3bo2bobo6bob3o2bo9bo7bo2b2o2bo$2b2o2bo6bo4bobo3bo2bobo4bo8b3obobo11b
2o2bo2b2o$2b2obo3bo2b2o2b2o3b3obo5b2o3b2obo4b2obobobo4b3o2bo4b3obo2b2o
$b4o4bo5bo11bobo4b2o3bo2b5o2bo2b2obo2bo5bob3obo$5bo8bo3bo8bo12bo11b2o
bob3obob3obo3bo4bo$b3o6b2obo4bo2b3obobob2o2b2obo3bob2o2b2obobo4b4o8b2o
$2b4ob2obo2bo7bo2bo11bobo10bo8bob2o6b4ob2o$2b2o7b2o2b2obob3obo2bo2b3o
bobobobo2b2obob4o3bo3b5o2b4o$2bo2bo14b4o3bo12bobo4b4obo2bo4b2obo2bo4b
o$bobobobo3b2o5b3obo7b2o2bobo3bobobobo3bobo7bo2bo2bob2obobobo$7bo2bo2b
o2b4o2bo2bo6bobobobo11b4o3b2o2b2o4bo6bo$5b2o2bo3bo2bob4o3bo2bob2o2bob
obobobobob2o2b3obo16b4o$2b2o3bobo3bo2bo2bo20bobo5bobobo2bo5b2o2bobobo
3b2o$5bo5b2o4b2o5bobobo2b2obobo3bo2b2obobobo2b5o3b2o4bobo2b4o$o6bo2bo
2bo2bo4b2o3bobobo5bobo15b2o2bobo2bo2bobo2bo$6b2o16b2o2bobobob2o2bobob
2o2bobobob7o12b5o$2b2obo2bob3ob3ob2o24bobobo8b4ob3ob3o4b2o$5b2o15bob3o
bobobobob3ob2o2bobo2b2ob2o3b2o14b2o$5b4ob3obobo13bobo9bo11bo2bo2bo2b2o
b3ob2ob2o$bob4o9bobobobo2b2ob2o2bobo2b2obobobobob3obobobobobobo12bo$2b
o5bobo2bo4bobobobo9bobo7bo17b3o2b2o$2b3o2bo5bo4bo2bo2bobob3obob3obo2b
o3b2ob2o2bobobobo3b3obo6bo$2b3ob4o6bo17b4o3bo8bobo5bobobob3o2bo3bo$2b
o3b3obobobobobob3obobobob5o3bo7b2o2bo2b2ob2o2bobo6bo$bob2o2bo2bo3bo11b
o5b2o9b2o3bo26bo$5bobobobobo2b3ob3ob2o2bo2b3o12bobobob3ob3ob2o3bobobo
bob2o$13bo14bobo2bo28b2obobobobo2bo$bobobobobobo5b2o2b2o2b2obobobobo7b
obobobob2o2b2o2b2o5bobobobobobo$2bo2bobobobob2o28bo2bobo14bo$2b2obobo
bobo3b2ob3ob3obobobo12b3o2bo2b2ob3ob3o2bobobobobo$bo26bo3b2o9b2o5bo11b
o3bo2bo2b2obo$7bo6bobo2b2ob2o2bo2b2o7bo3b5obobobob3obobobobobob3o3bo$
3bo3bo2b3obobobo5bobo8bo3b4o17bo6b4ob3o$3bo6bob3o3bobobobo2b2ob2o3bo2b
ob3obob3obobo2bo2bo4bo5bo2b3o$8b2o2b3o17bo7bobo9bobobobo4bo2bobo5bo$b
o12bobobobobobob3obobobobob2o2bobo2b2ob2o2bobobobo9b4obo$2b2ob2ob3ob2o
2bo2bo2bo11bo9bobo13bobob3ob4o$2b2o14b2o3b2ob2o2bobo2b2ob3obobobobob3o
bo15b2o$2b2o4b3ob3ob4o8bobobo24b2ob3ob3obo2bob2o$b5o12b7obobobo2b2obo
bo2b2obobobo2b2o16b2o$5bo2bobo2bo2bobo2b2o15bobo5bobobo3b2o4bo2bo2bo2b
o6bo$b4o2bobo4b2o3b5o2bobobob2o2bo3bobob2o2bobobo5b2o4b2o5bo$2b2o3bob
obo2b2o5bo2bobobo5bobo20bo2bo2bo3bobo3b2o$2b4o16bob3o2b2obobobobobobo
2b2obo2bo3b4obo2bo3bo2b2o$2bo6bo4b2o2b2o3b4o11bobobobo6bo2bo2b4o2bo2b
o2bo$bobobob2obo2bo2bo7bobo3bobobobo3bobo2b2o7bob3o5b2o3bobobobo$5bo4b
o2bob2o4bo2bob4o4bobo12bo3b4o14bo2bo$7b4o2b5o3bo3b4obob2o2bobobobob3o
2bo2bob3obob2o2b2o7b2o$2b2ob4o6b2obo8bo10bobo11bo2bo7bo2bob2ob4o$7b2o
8b4o4bobob2o2b2obo3bob2o2b2obobob3o2bo4bob2o6b3o$o4bo3bob3obob3obob2o
11bo12bo8bo3bo8bo$6bob3obo5bo2bob2o2bo2b5o2bo3b2o4bobo11bo5bo4b4o$2b2o
2bob3o4bo2b3o4bobobob2o4bob2o3b2o5bob3o3b2o2b2o2bo3bob2o$7b2o2bo2b2o11b
obob3o8bo4bobo2bo3bobo4bo6bo2b2o$8bo2b2o2bo7bo9bo2b3obo6bobo2bo3bobob
o5b2o2bo2b2o$2b2o2bo6b2o3b3o4bobobo2b2o7b2o2bobobobo3bo3b2o4bo2bo2bob
2o$6b2o5b3o2bo2bob2o2bobobo4b3obo2bo9b2o7b2obo2bo3b4o$o4bo2bo2b4ob3ob
o4bobobobo10b2obobobo9bo6b2o3bo$9bo2bo3b3obo2b2o8b2ob3ob5o2bo2b2obob2o
2bo15bo$2bo6b2o2b2o2bo11bo12b2o2b3obo3bo9b2o$8bo6bobob2obo2b2o2bo6b3o
bo5b4o2bobob2obobobo2bobo4bo$4bo17bobobo14bob2obo12bo2bo4bo$10bo2bo3b
o2bob3ob4o2b2o2bobo2bob2obo2bo3bo2bob3ob6o3bo$6bo3bo2bo3bo3b4ob4o6b2o
4b4o3bo3bo3b4ob6o$20bo3bobo3bo4bo2bo2bo4bo9bo3bobo4bobo$8bo6bo35bo!

Edit:
I discovered pieces of this separately, then manually assembled them:

Code: Select all

#C works in B26(78)/S167(8)
x = 54, y = 74, rule = B268/S1678
4bo5bo3bo3bo3bo3bo3bo3bo3bo3bo$9b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
o2bobo$2bo3bo2bo3bo3bo3bo3bo3bo3bo3bo3bo3b4o$6bo39b3o3bo$o46b2o$5bo3b
o39b4o$2b2o8bo9bo9bo11b8o$6bobo8bo2bo6bo2bo6bo2bobobobo3b2o$10bo3bo2b
4o3bo2b4o3bo2b4o3bo2b2o2b2o$b2o3bo7bo3b4o2bo3b4o2bo3b3ob3ob3o$2b2o2bo
3bo7bo2bo6bo2bo6bobobo3b3o$12bo3bo9bo9bo5bobobo3b2o$8bo31b3o6b2o$3b2o
7bo28b2o$2b2o7bo29b2o$41b3o6b2o$10bo2bo3bo17bo4bo8b2o$3b2o9b4o19bo$2b
2o10b4o20bo$14bo3bo2bo13bo4bo9b2o$32b3o14b2o$3b2o15bo12b2o$2b2o15bo6b
o6b2o$28bo4b3o14b2o$18bo2bo2bo3b6o15b2o$3b2o16bo2bo3b6o$2b2o24bo4bobo
$17bobo6bo23b2o$19b2o16bo11b2o$3b2o10bo17b2o$2b2o23bo6b4o$17b2obo4bo9b
2o13b2o$20b6o3bo2bo2b2o12b2o$3b2o15b6o3bo2bo2b2o$2b2o13b2obo4bo9b2o$27b
o6b4o12b2o$15bo17b2o14b2o$3b2o14b2o17bo$2b2o12b4o6bo$17b2o9bo4bob2o13b
2o$17b2o2bo2bo3b6o15b2o$3b2o12b2o2bo2bo3b6o$2b2o13b2o9bo4bob2o$16b4o6b
o23b2o$19b2o17bo10b2o$3b2o11bo16b2o$2b2o23bo6bobo$18bobo4bo24b2o$20b6o
3bo2bo16b2o$3b2o15b6o3bo2bo2bo$2b2o14b3o4bo$19b2o6bo6bo15b2o$19b2o12b
o15b2o$3b2o14b3o$2b2o9bo4bo13bo2bo3bo$15bo20b4o10b2o$16bo19b4o9b2o$3b
2o8bo4bo17bo3bo2bo$2b2o6b3o$11b2o29bo7b2o$11b2o28bo7b2o$3b2o6b3o31bo$
2b2o3bobobo5bo9bo9bo3bo$5b3o3bobobo6bo2bo6bo2bo7bo3bo2b2o$5b3ob3ob3o3b
o2b4o3bo2b4o3bo7bo3b2o$b2o2b2o2bo3b4o2bo3b4o2bo3b4o2bo3bo$2b2o3bobobo
bo2bo6bo2bo6bo2bo8bobo$2b8o11bo9bo9bo8b2o$b4o39bo3bo$5b2o46bo$bo3b3o39b
o$5b4o3bo3bo3bo3bo3bo3bo3bo3bo3bo2bo3bo$3bobo2bo2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o$11bo3bo3bo3bo3bo3bo3bo3bo3bo5bo!

There aren't many OT rules within B2(45678)/S(012345678) remaining, which neither have known oscillators or known still lifes.

pifricted · Post by **pifricted** » August 2nd, 2026, 1:38 am

Weird oscillators in B357/S1358:

Code: Select all

 x = 31, y = 26, rule = B357/S1358
bo15bo$2ob2ob2o3b2ob2ob2o$bo15bo$2ob2ob2o3b2ob2ob2o$bo15bo6$bo27bo$2o
b2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo27bo$2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo
27bo7$bo$2ob2ob2ob2ob2ob2o$bo$2ob2ob2ob2ob2ob2o$bo!

melwin22 · Post by **melwin22** » August 2nd, 2026, 6:17 am

pifricted wrote: August 2nd, 2026, 1:38 am Weird oscillators in B357/S1358:

Code: Select all

 x = 31, y = 26, rule = B357/S1358
bo15bo$2ob2ob2o3b2ob2ob2o$bo15bo$2ob2ob2o3b2ob2ob2o$bo15bo6$bo27bo$2o
b2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo27bo$2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo
27bo7$bo$2ob2ob2ob2ob2ob2o$bo$2ob2ob2ob2ob2ob2o$bo!

Interesting stuff! Let's investigate further. First five iterations of both types:

Code: Select all

 x = 114, y = 45, rule = B357/S1358
bo46bo15bo$2ob2ob2ob2ob2ob2o30b2ob2ob2o3b2ob2ob2o$bo46bo15bo$2ob2ob2ob
2ob2ob2o30b2ob2ob2o3b2ob2ob2o$bo46bo15bo6$bo46bo27bo$2ob2ob2ob2ob2ob2o
b2ob2o24b2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo46bo27bo$2ob2ob2ob2ob2ob2ob
2ob2o24b2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo46bo27bo6$bo46bo39bo$2ob2ob2o
b2ob2ob2ob2ob2ob2ob2o18b2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2o$bo
46bo39bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2o18b2ob2ob2ob2ob2ob2ob2o3b2ob2ob
2ob2ob2ob2ob2o$bo46bo39bo6$bo46bo51bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2o12b2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2ob2ob2o$bo46bo51b
o$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o12b2ob2ob2ob2ob2ob2ob2ob2ob2o3b2o
b2ob2ob2ob2ob2ob2ob2ob2o$bo46bo51bo6$bo46bo63bo$2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2o6b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2o$bo46bo63bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2o6b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
$bo46bo63bo!

Oscillators on the left side have periods 124, 56, 60, 48 and... 8188. Crazy sequence.

Oscillators on the right are p8, 28, 16, 60 and 56. Less crazy, but still doesn't follow any obvious pattern.

Besides stating the obvious point that all of these periods are divisible by 4, I can only observe that 8188 is close to a power of 2, maybe that is a clue about what's going on here?

Rhombicubocta · Post by **Rhombicubocta** » August 2nd, 2026, 7:26 am

melwin22 wrote: August 2nd, 2026, 6:17 am
pifricted wrote: August 2nd, 2026, 1:38 am Weird oscillators in B357/S1358:
Code: Select all
 x = 31, y = 26, rule = B357/S1358
bo15bo$2ob2ob2o3b2ob2ob2o$bo15bo$2ob2ob2o3b2ob2ob2o$bo15bo6$bo27bo$2o
b2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo27bo$2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo
27bo7$bo$2ob2ob2ob2ob2ob2o$bo$2ob2ob2ob2ob2ob2o$bo!
Interesting stuff! Let's investigate further. First five iterations of both types:
Code: Select all
 x = 114, y = 45, rule = B357/S1358
bo46bo15bo$2ob2ob2ob2ob2ob2o30b2ob2ob2o3b2ob2ob2o$bo46bo15bo$2ob2ob2ob
2ob2ob2o30b2ob2ob2o3b2ob2ob2o$bo46bo15bo6$bo46bo27bo$2ob2ob2ob2ob2ob2o
b2ob2o24b2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo46bo27bo$2ob2ob2ob2ob2ob2ob
2ob2o24b2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o$bo46bo27bo6$bo46bo39bo$2ob2ob2o
b2ob2ob2ob2ob2ob2ob2o18b2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2o$bo
46bo39bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2o18b2ob2ob2ob2ob2ob2ob2o3b2ob2ob
2ob2ob2ob2ob2o$bo46bo39bo6$bo46bo51bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2o12b2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2ob2ob2o$bo46bo51b
o$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o12b2ob2ob2ob2ob2ob2ob2ob2ob2o3b2o
b2ob2ob2ob2ob2ob2ob2ob2o$bo46bo51bo6$bo46bo63bo$2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2o6b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2o$bo46bo63bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2o6b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
$bo46bo63bo!
Oscillators on the left side have periods 124, 56, 60, 48 and... 8188. Crazy sequence.

Oscillators on the right are p8, 28, 16, 60 and 56. Less crazy, but still doesn't follow any obvious pattern.

Besides stating the obvious point that all of these periods are divisible by 4, I can only observe that 8188 is close to a power of 2, maybe that is a clue about what's going on here?

It appears to be emulating some 4 state 1D rule.
Look at the even generations. The states are represented by bar going through dominos on the left or right, no bar, or 2 dots in between the dominos.
Each “meta-cell” is 3 cells long.

pifricted · Post by **pifricted** » August 2nd, 2026, 8:10 am

melwin22 wrote: August 2nd, 2026, 6:17 am Besides stating the obvious point that all of these periods are divisible by 4, I can only observe that 8188 is close to a power of 2, maybe that is a clue about what's going on here?

That just emulates W90 every tick, so all oscillators made of this should be period-(2*n).

But I don't really know why they are divisible by 4. Here is the p124 one as an example:

Code: Select all

x = 23, y = 126, rule = W90Investigator
E3.A17.E$E2.A.A16.E$E.A3.A15.E$EA.A.A.A14.E$E7.A13.E$E6.A.A12.E$E5.A3.
A11.E$E4.A.A.A.A10.E$E3.A7.A9.E$E2.A.A5.A.A8.E$E.A3.A3.A3.A7.E$EA.A.A
.A.A.A.A.A6.E$E15.A5.E$E14.A.A4.E$E13.A3.A3.E$E12.A.A.A.A2.E$E11.A7.A
.E$E10.A.A5.A.AE$E9.A3.A3.A3.E$E8.A.A.A.A.A.A2.E$E7.A11.A.E$E6.A.A9.A
.AE$E5.A3.A7.A3.E$E4.A.A.A.A5.A.A2.E$E3.A7.A3.A3.A.E$E2.A.A5.A.A.A.A.
A.AE$E.A3.A3.A11.E$EA.A.A.A.A.A10.E$E11.A9.E$E10.A.A8.E$E9.A3.A7.E$E8.
A.A.A.A6.E$E7.A7.A5.E$E6.A.A5.A.A4.E$E5.A3.A3.A3.A3.E$E4.A.A.A.A.A.A.
A.A2.E$E3.A15.A.E$E2.A.A13.A.AE$E.A3.A11.A3.E$EA.A.A.A9.A.A2.E$E7.A7.
A3.A.E$E6.A.A5.A.A.A.AE$E5.A3.A3.A7.E$E4.A.A.A.A.A.A6.E$E3.A11.A5.E$E
2.A.A9.A.A4.E$E.A3.A7.A3.A3.E$EA.A.A.A5.A.A.A.A2.E$E7.A3.A7.A.E$E6.A.
A.A.A5.A.AE$E5.A7.A3.A3.E$E4.A.A5.A.A.A.A2.E$E3.A3.A3.A7.A.E$E2.A.A.A
.A.A.A5.A.AE$E.A11.A3.A3.E$EA.A9.A.A.A.A2.E$E3.A7.A7.A.E$E2.A.A5.A.A5.
A.AE$E.A3.A3.A3.A3.A3.E$EA.A.A.A.A.A.A.A.A.A2.E$E19.A.E$E18.A.AE$E17.
A3.E$E16.A.A2.E$E15.A3.A.E$E14.A.A.A.AE$E13.A7.E$E12.A.A6.E$E11.A3.A5.
E$E10.A.A.A.A4.E$E9.A7.A3.E$E8.A.A5.A.A2.E$E7.A3.A3.A3.A.E$E6.A.A.A.A
.A.A.A.AE$E5.A15.E$E4.A.A14.E$E3.A3.A13.E$E2.A.A.A.A12.E$E.A7.A11.E$E
A.A5.A.A10.E$E3.A3.A3.A9.E$E2.A.A.A.A.A.A8.E$E.A11.A7.E$EA.A9.A.A6.E$
E3.A7.A3.A5.E$E2.A.A5.A.A.A.A4.E$E.A3.A3.A7.A3.E$EA.A.A.A.A.A5.A.A2.E
$E11.A3.A3.A.E$E10.A.A.A.A.A.AE$E9.A11.E$E8.A.A10.E$E7.A3.A9.E$E6.A.A
.A.A8.E$E5.A7.A7.E$E4.A.A5.A.A6.E$E3.A3.A3.A3.A5.E$E2.A.A.A.A.A.A.A.A
4.E$E.A15.A3.E$EA.A13.A.A2.E$E3.A11.A3.A.E$E2.A.A9.A.A.A.AE$E.A3.A7.A
7.E$EA.A.A.A5.A.A6.E$E7.A3.A3.A5.E$E6.A.A.A.A.A.A4.E$E5.A11.A3.E$E4.A
.A9.A.A2.E$E3.A3.A7.A3.A.E$E2.A.A.A.A5.A.A.A.AE$E.A7.A3.A7.E$EA.A5.A.
A.A.A6.E$E3.A3.A7.A5.E$E2.A.A.A.A5.A.A4.E$E.A7.A3.A3.A3.E$EA.A5.A.A.A
.A.A.A2.E$E3.A3.A11.A.E$E2.A.A.A.A9.A.AE$E.A7.A7.A3.E$EA.A5.A.A5.A.A2.
E$E3.A3.A3.A3.A3.A.E$E2.A.A.A.A.A.A.A.A.A.AE$E.A19.E$EA.A18.E$E3.A17.
E$23E!

Edit:
And another type... what? :

Code: Select all

x = 26, y = 55, rule = B357/S1358
3bo$6o$o$6o$3bo6$3bo3bo$10o$o$10o$3bo3bo6$3bo3bo3bo$14o$o$14o$3bo3bo3b
o6$3bo3bo3bo3bo$18o$o$18o$3bo3bo3bo3bo6$3bo3bo3bo3bo3bo$22o$o$22o$3bo
3bo3bo3bo3bo6$3bo3bo3bo3bo3bo3bo$26o$o$26o$3bo3bo3bo3bo3bo3bo!

And just a few minutes later, another another:

Code: Select all

x = 36, y = 40, rule = B357/S1358
3bo$6o$o$6o$3bo3$3bo5bo$6ob5o$o$6ob5o$3bo5bo3$3bo5bo5bo$6ob5ob5o$o$6o
b5ob5o$3bo5bo5bo3$3bo5bo5bo5bo$6ob5ob5ob5o$o$6ob5ob5ob5o$3bo5bo5bo5bo
3$3bo5bo5bo5bo5bo$6ob5ob5ob5ob5o$o$6ob5ob5ob5ob5o$3bo5bo5bo5bo5bo3$3b
o5bo5bo5bo5bo5bo$6ob5ob5ob5ob5ob5o$o$6ob5ob5ob5ob5ob5o$3bo5bo5bo5bo5b
o5bo!

All of these are extended from the two p12s.

pifricted · Post by **pifricted** » August 2nd, 2026, 9:08 am

The p14 is also "extendable":

Code: Select all

x = 52, y = 38, rule = B357/S1358
5bobo$ob2ob2ob2o$bo3$5bobo$ob2ob2ob2ob2ob2o$bo9bobo3$5bobo9bobo$ob2ob
2ob2ob2ob2ob2ob2o$bo9bobo3$5bobo9bobo$ob2ob2ob2ob2ob2ob2ob2ob2ob2o$bo
9bobo9bobo3$5bobo9bobo9bobo$ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$bo9bob
o9bobo3$5bobo9bobo9bobo$ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$bo9b
obo9bobo9bobo3$5bobo9bobo9bobo9bobo$ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2o$bo9bobo9bobo9bobo3$5bobo9bobo9bobo9bobo$ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$bo9bobo9bobo9bobo9bobo!

It seems it emulates a 2xn rule:

Code: Select all

# [[ STEP 2 ]]
x = 16, y = 3, rule = B357/S1358History
.D.D.C.C.D.D.D$A.2A.2A.2A.2A.2A$.C.D.D.D.D.C.C!

Edit: is B2ek3a4a/S01e3jn every 2 ticks:

Code: Select all

# p7 -> p14
x = 4, y = 2, rule = B2ek3a4a/S01e3jn
2.2A$A!

NNlk05 · Post by **NNlk05** » August 2nd, 2026, 9:59 am

Try looking these sequences up in OEIS.

Rhombicubocta · Post by **Rhombicubocta** » August 2nd, 2026, 6:00 pm

NNlk05 wrote: August 2nd, 2026, 9:59 am Try looking these sequences up in OEIS.

The first 2 series did not fit any of the OEIS sequences directly when I checked.

actinophrys · Post by **actinophrys** » August 2nd, 2026, 7:55 pm

As said these are xor oscillators, equivalent to W90 so long as the dots don't end up next to each other. But so far you're only getting some of the possible periods because you're only looking at track lengths that break evenly into dominoes (or the little hat things). Compare for example these simpler relatives in B5/S123, where it's easy enough to increase the length by one using a bumper:

Code: Select all

# xor oscillators of length 11, 12, 13, 14
x=15, y=21, rule = B5/S123
b2ob2ob2ob2o$bo$b2ob2ob2ob2o4$b2ob2ob2ob2obo$bo11bo$b2ob2ob2ob2o4$ob2o
b2ob2ob2obo$2o12bo$2b2ob2ob2ob2o4$b2ob2ob2ob2ob2o$bo$b2ob2ob2ob2ob2o!

There are lots of rules where these can be made to work along different sorts of tracks, although yours is nice for how well it works at the ends. A lot of the others need some kind of special blockers to keep them stable. Complete W90 emulators where the dots can be adjacent make the rule omniperiodic so I had done my best to collect examples on this thread. I don't know if there's interest in collecting the xor oscillators that only cover even periods, but there are some other examples here.

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