This rule is originally by ThePlayzr:
(Note that the p15+ wire loop fails, so we need an alternative way to prove omniperiodicity).ThePlayzr wrote: ↑August 25th, 2025, 4:04 amI found a VERY interesting rule, b3-cknqs2-n34eiq. It has a p15+ wire loop:It has a 6c/12, a 4c/58, and a 23c/50 puffer.Code: Select all
x = 18, y = 18, rule = B3-cknq/S2-n34eiq 9bo5bo$b2o5bobo3bobo$obo5b2o5b2o$bo$8b3o$10bo$8b3o$bo2b3o$obobobob2ob obob2o$b2obobob2obobobobo$11b3o2bo$7b3o$7bo$7b3o$16bo$b2o5b2o5bobo$bo bo3bobo5b2o$2bo5bo!(...)Code: Select all
x = 56, y = 8, rule = B3-cknq/S2-n34eiq b3o6bo3bo17b2o12b3o4b3o$b3o5b3ob3o17b2o11bo2bo2bo2bo$o7b2obobob2o14bo bo12bob2o2b2obo$bo29b2o2$6b2o9b2o$6b2o9b2o$7bo9bo!
The smallest spaceship is the ant from tlife, but there are many high-period spaceships:
Code: Select all
x = 468, y = 170, rule = B3-cknq/S2-n34eiq
2o49b2o49b4o44b2o7b2o41b2o48b4o47b4o44b2o48b2o22b2o25bo$b2o47b2o49b2o
2bo44bo2b2ob2o2bo40b5o45b2o2bo46b2o2bo43b3o47b2o24b2o23b2o$3bo47bobo
46b2o2b2o45b3o3b3o40b2o4bo43b2o2b2o45b2o2b2o43b2obo47bobo20bobo23b2o$b
2o49b2o47b3o48bo5bo42b2o3bo44b3o48b3o46b3o48b2o20b2o25b2o$202b5o145bo$
101b3o146b5o46b3o146b3o$100b2o2b2o96b3o45bo3b2o44b2o2b2o144bo$101b2o2b
o94b2o2b2o44bo4b2o44b2o2bo144b2o$102b4o94bo2b2o46b5o46b4o$200b4o49b2o
41$2b4o46b4o46b4o45b2o47bo49b2o48bo52bo15bo31b3o48b2o$b2o2bo45b2o2bo
45b2o2bo44b2ob3o44b2o48bobo47b2o50b3o13b3o30bo50bobo$2o2b2o44b2o2b2o
44b2o2b2o45b5o45b2o49bo48b2o48bo2bob3o5b3obo2bo29b3o9b3o38b2o$b3o47b3o
47b3o48b3o45b2o48b3o47b2o49b3o2bo2bo3bo2bo2b3o40bo2bo37b2o$356bob2o3b
2obo34b2o14bo35bo$2b3o48b3o44b3o98b3o46b2o49b3o96b2o14b2o$2bo49b2o2b2o
42bo2bo99bo47b2o50bo46bo21bo28b2o6b2obo4bo33bo$2b3o48b2o2bo42b2ob2o96b
3o46b2o49b3o47bo19bo30bo6b2ob4o35b2o$54b4o44b2o3bo242bo21bo79b2o$b3o
103bo92b2o99b3o98bo6b2ob4o34bobo$2o2b2o195b2o100bo97b2o6b2obo4bo32b2o$
b2o2bo194b2o99b3o96b2o14b2o$2b4o194bo49b2o149b2o14bo$251b2o47b2o110bo
2bo$250b2o49b2o98b3o9b3o$300b2o99bo$250b3o47bo100b3o$252bo$250bobo$
250b2o31$3bo2b3o5b3o2bo30b2o49b2o53b3o4b3o34b2o54b3o5b3o36bo2b3o5b3o2b
o31b2o49b4o49bo6bo$2b3obo2bo3bo2bob3o29bo2bo46b2ob3o50bo2bo2bo2bo34bo
52bo2bobo5bobo2bo32b3obobo5bobob3o29b2ob4o44b2o2bo44b3ob3o4b3ob3o$bo2b
obob2o3b2obobo2bo29b3o47b5o46b3obo2bo2bo2bob3o30b3o49b3obo2bo3bo2bob3o
30bo2bobo2bo3bo2bobo2bo29b6o43b2o2b2o44bobobob2o2b2obobobo$b3o15b3o30b
o49b3o47bobobo2b4o2bobobo81bo2bo2b3o3b3o2bo2bo29b3o3b3o3b3o3b3o30b4o
45b3o46bobobo2bo2bo2bobobo$151bo2bobob2o2b2obobo2bo30b2o48b3o4bo5bo4b
3o36bo5bo140b3o2b3o$102b3o45b3obo12bob3o28b2o150b4o45b5o$o21bo78b5o44b
o3bo12bo3bo29b2o97bo21bo28b6o43b2obobo$bo19bo78b2ob3o44b2o2b2o10b2o2b
2o30bo47bo21bo28bo19bo28b2ob4o44b2o4bo$o21bo78b2o48bo2b2o10b2o2bo80bo
19bo28bo21bo28b2o53b2o$153b2o12b2o81bo21bo$58bo4b2o341b2o$58bo3bo2bo
335b2o4bo$58bo2b2ob2o136bo197b2obobo$64b2o135b2o198b5o$200b2o$201b2o
198b3o$400b2o2b2o$200b3o198b2o2bo$200bo201b4o$200b2o31$3b3o44b3o11b3o
33b4o46b2o21b2o32bo7bo37bo3bo7bo3bo$2b2ob2o43bobo2bobobobo2bobo33bo2b
2o47bo19bo30bo2b3o5b3o2bo32b3ob3o5b3ob3o$2b2obob2o41bo2bobobobobobo2bo
33b2o2b2o44b2o21b2o27b3obo2bo3bo2bob3o30bo2bobo2bo3bo2bobo2bo$3bo4bo
41b2obob3ob3obob2o35b3o96bo2bo2b3o3b3o2bo2bo29b3o3b3o3b3o3b3o$2o3b4o
42b3o9b3o135b3o15b3o$4o48bo11bo36b3o48b2obo13bob2o$2bo3b2o95bo48bo2bo
13bo2bo77bo21bo$7b2o91bob2o49b3obob2o3b2obob3o28bo21bo28bo19bo$2bo3b2o
92b2o55bo2bo3bo2bo33bo19bo28bo21bo$4o153b3o5b3o32bo21bo$2o3b4o$3bo4bo
91b2o$2b2obob2o91bob2o$2b2ob2o96bo$3b3o95b3o2$102b3o$100b2o2b2o$100bo
2b2o$100b4o!
Code: Select all
x = 214, y = 92, rule = B3-cknq/S2-n34eiq
82b2o$59b2o2b2o18bo12b2o3b2o30b2ob2o26b2o$38b2o4b2o13bobob2o16b2o13bob
obobo27b2obobobob2o23b2ob2o$38bobo2bobo15bo19bo2b2o12bobo29b2obo3bob2o
22bo3b2o$17b2o6b3o12bo2bo18bo20bo2bo9bobobobo30bo3bo26b2ob2o$17b2o21bo
2bo18bo18bo2b2o10b2o3b2o29b2o3b2o25b2o$61bo19b2o20b2o4b2o$59bobob2o18b
o19bobo2bobo$59b2o2b2o17b2o21bo2bo$105bo2bo27$12b2ob2o26b2o2b2o48b2ob
6ob2o63b2ob2o$12b2ob2o26b2o2b2o48b2obo4bob2o64bobo$14bo85bo4bo63b2ob2o
b2ob2o$11b2o3b2o20b2ob3o4b3ob2o46bo4bo63bo9bo17bo7bo$11bobobobo20b2obo
2bo2bo2bob2o48b2o63b2o11b2o14bobo5bobo3b2o$13bobo25bobo4bobo47bo7bo31b
o28bo13bo14bobo2b2o2bo5bo$14bo27b2o4b2o47bobo2bo2bobo29bobo57bo2bo2bo
5b2o$14bo83bo7bo27b2o2bo26bobo13bobo17b2o6bo2bo$13bobo26b2o4b2o50bo3bo
28bo2bo28b3o13b3o14bo2b2o2bo3b3obo$11bobobobo23bobo4bobo48bob3obo27bob
2o61bo2b2o2bo3bo2bo$11b2o3b2o20b2obo2bo2bo2bob2o45bob3obo24b2ob2o30b3o
13b3o17b2o6b2o$14bo23b2ob3o4b3ob2o46bo3bo25b2o33bobo13bobo13bo2bo2bo7b
o$12b2ob2o81bo7bo26b2o61bobo2b2o2bo4b2o$12b2ob2o26b2o2b2o48bobo2bo2bob
o25b2o32bo13bo14bobo5bobo$43b2o2b2o49bo7bo60b2o11b2o15bo7bo$169bo9bo$
169b2ob2ob2ob2o$173bobo$172b2ob2o15$8bo5bo$7bobo3bobo$8bo5bo$11bo35bo
5bo$10b3o33bobo3bobo$10b3o33bobo3bobo$47bo5bo$bo19bo$obo17bobo26b3o$bo
19bo28bo$4b2o11b2o31bo$3b3o11b3o$4b2o11b2o$bo19bo25bo5bo$obo17bobo23bo
bo3bobo$bo19bo24bobo3bobo$47bo5bo$10b3o$10b3o$11bo$8bo5bo$7bobo3bobo$
8bo5bo!
There is a simple yet sparky p25, which might be useful in larger constructions:
Code: Select all
x = 9, y = 3, rule = B3-cknq/S2-n34eiq
bo5bo$2o5b2o$bo5bo!
Code: Select all
x = 50, y = 9, rule = B3-cknq/S2-n34eiq
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2$b3o$3bo$b3o2$2ob2ob2ob2ob2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o$2ob2ob2ob2ob2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o!