Cole's Cellular Automata

[H. H. P. M. P. Cole]

Just a thread I will make to put in my low effort posts. Expect more later.

[H. H. P. M. P. Cole]

Rule 1: R3,C2,S5,26,B30-31,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000

Introductory pattern collection

Code: Select all

x = 44, y = 63, rule = R3,C2,S5,26,B30-31,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
bo5bo8bo9bo$bo5bo8bo9bo13b2o$39b2o$bo5bo8bo9bo11bo$9bo4bo3bo5bo3bo2$7b
o18bo$40b2o$39b2o$35bo2bo2$37bo3$bo5bo$bo5bo2$9bo30b2o$39b2o$bobo5bo25b
o2bo$37bo2$35bo5$40b2o$bobo35b2o$38bo$37bo$37bo$35bo$b2o6bo6b2o6b2o$11b
o6bo4bo2bo4$40b2o$b2o36b2o$2bo35bo4bo$3bo38b2o$3b2o37bo$41bo4$bo$3bo3$
3bo$4bobo7$o4bo$6bo$4bo$o4bo!

[H. H. P. M. P. Cole]

In my quest to make the most aesthetically pleasing rule, I decided to golf these objects first, because I feel they are aesthetically pleasing:

Code: Select all

x = 19, y = 8, rule = B2c3aj/S13j
2o3bo$6bo5$6bo3b2o4b2o$obo2bobo4bo4b2o!

Then I decided to add checkerboards and large block-based SLs:

Code: Select all

x = 42, y = 8, rule = B2c3aj4e6c7c/S12e3aej4ir5i8
2o3bo18b7o4b7o$6bo17b7o4bobobobo$24b7o4b2obob2o$24b7o4bobobobo$24b7o4b
2obob2o$24b7o4bobobobo$6bo3b2o4b2o6b7o4b7o$obo2bobo4bo4b2o!

But I realized they were not common enough, so I decided to make them more common:

Code: Select all

x = 48, y = 42, rule = B2c3ajnq4aeiz5ar6ci7c8/S12e3aeij4airw5aiq6acn7c8
2o3bo18b7o4b7o$6bo17b7o4bobobobo$24b7o4b2obob2o$24b7o4bobobobo$24b7o4b
2obob2o$24b7o4bobobobo$6bo3b2o4b2o6b7o4b7o$obo2bobo4bo4b2o4$24b7ob7o4b
2ob2o$24b7ob7o4b2ob2o$24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o4b2o
$43b2ob2o$46b2o3$24b7o$24b7ob7o4b2o$24b7ob7o4b2o$24b7ob7o7b2o$24b7ob7o
7b2o$24b7ob7o$24b7ob7o$32b7o$43b3o$43bobo$43b3o$24b7o$24b7o$24b7ob7o$
24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o$32b7o$32b7o!

Then I removed Margolus oscillators using B2n:

Code: Select all

x = 48, y = 42, rule = B2cn3ajnq4aeiz5ar6ci7c8/S12e3aeij4airw5aiq6acn7c8
2o3bo18b7o4b7o$6bo17b7o4bobobobo$24b7o4b2obob2o$24b7o4bobobobo$24b7o4b
2obob2o$24b7o4bobobobo$6bo3b2o4b2o6b7o4b7o$obo2bobo4bo4b2o4$24b7ob7o4b
2ob2o$24b7ob7o4b2ob2o$24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o4b2o
$43b2ob2o$46b2o3$24b7o$24b7ob7o4b2o$24b7ob7o4b2o$24b7ob7o7b2o$24b7ob7o
7b2o$24b7ob7o$24b7ob7o$32b7o$43b3o$43bobo$43b3o$24b7o$24b7o$24b7ob7o$
24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o$32b7o$32b7o!

I am satisfied with this rule even if it does not contain any small common spaceships to my knowledge.

[ThePlayzr]

Code: Select all

x = 48, y = 42, rule = B2cn3ajnq4aeiz5ar6ci7c8/S12e3aeij4airw5aiq6acn7c8
2o3bo18b7o4b7o$6bo17b7o4bobobobo$24b7o4b2obob2o$24b7o4bobobobo$24b7o4b
2obob2o$24b7o4bobobobo$6bo3b2o4b2o6b7o4b7o$obo2bobo4bo4b2o4$24b7ob7o4b
2ob2o$24b7ob7o4b2ob2o$24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o4b2o
$43b2ob2o$46b2o3$24b7o$24b7ob7o4b2o$24b7ob7o4b2o$24b7ob7o7b2o$24b7ob7o
7b2o$24b7ob7o$24b7ob7o$32b7o$43b3o$43bobo$43b3o$24b7o$24b7o$24b7ob7o$
24b7ob7o$24b7ob7o$24b7ob7o$24b7ob7o$32b7o$32b7o!

I am satisfied with this rule even if it does not contain any small common spaceships to my knowledge.

I found, with a mix of RLS and qfind, an absolutely massive 2c/4o (minimal by logical width), a timid c/3o, a c/4o that might appear semi-naturally due to being only 22 cells, a c/5o with a relatively high density, and a c/6o that gives Margolus vibes.

Code: Select all

x = 84, y = 280, rule = B2cn3ajnq4aeiz5ar6ci7c8/S12e3aeij4airw5aiq6acn7c8
40bo10bo2bo10bo$14bo5bo17b4o10b2o9b2ob2o9b3o$9bobobobobobobobobo12b2o
9bo2b2o2bo5b7o8b3o$6bobo17bobo9b2ob2obo6bo2bo7b2o3b2o8b3o$3bobo6bo9bo
6bobo6b4ob2o5bo4bo6b7o8bobo$bobob2o3bo3bobobobo3bo3b2obobo4bob3o2bo16b
2o2bo$bo9bobo7bobo9bo5bo9b2o4b2o6b3o10bo3bo$5b2o9bobo9b2o10bo2bo5b2o4b
2o7bob2o7bo5bo$o2bo3bobo15bobo3bo2bo6bo2b2o3b2o4b2o7b2ob2o$12bo9bo19b
o8bo2bo7bo4b2o6bo5bo$5bo2bob3o9b3obo2bo12bobo16bo2b3o8bobobobo$2bobob
2o19b2obobo8b3o16bo5bo8bo5bo$bobo2b2ob5o7b5ob2o2bobo9bo17bo6bo7b5o$5b
3o3bo11bo3b3o32b2obob2o7b2ob2o$3b6o17b6o28bo3bo2b2o5bo7bo$4b6obobo7bo
bob6o30bobo3b2o5bo2bobo2bo$8bo5bo5bo5bo38bob2o5bobobobobo$8bo4bo7bo4b
o35bo4b2o$4bo5bo5bobo5bo5bo31bo2bob2o$5bobob2o13b2obobo31bo5b2o8bobo$
4bobo2b2o3bo5bo3b2o2bobo36b2o$10bo13bo37b3o2b2o$3bobo6bo9bo6bobo29b4o
2b2o5bo2b3o2bo$5bobobob2o9b2obobobo32b3o2b2o4b2o2b3o2b2o$4b3obo7bobo7b
ob3o32b2o2b2o6bo5bo$3bo5bobo2bo5bo2bobo5bo30b2ob2obo5bo7bo$12bobo5bob
o38b3o12bobobo$5bo6bob2o3b2obo6bo30bo2bo2bo10bobo$3bo2bob2o2bobo5bobo
2b2obo2bo46bo$6bobo3b2o2bobo2b2o3bobo32bo2b2o$5bo2b2o3bo2bobo2bo3b2o2b
o$5bo2bo4bobo3bobo4bo2bo37bo$3bo2b3o2bob2o5b2obo2b3o2bo33b3o$2bo6b2o13b
2o6bo30bob3o$3bo3bo2bo4bo3bo4bo2bo3bo31bob3o$66bo$4b3o2bo3bo7bo3bo2b3o
35bo$8bobo3bo5bo3bobo38b3o$5b3o5bobobobobo5b3o35b3o$16bobo45b4o$3bo5b
o3bo3bo3bo3bo5bo31b5o$7bo4bobo5bobo4bo36b4o$9bo15bo37bo$7bobo2bo9bo2b
obo$6b3o2b2o3bobo3b2o2b3o$6b4o2b3o5b3o2b4o$6b4o3b3o3b3o3b4o$6b6o2bo2b
o2bo2b6o$6b5o2bo2bobo2bo2b5o$7bob2o2b2o2bo2b2o2b2obo$8bo6bo3bo6bo$11b
ob2obobob2obo$8bo3bo9bo3bo$14bo5bo$6b2obo5bo3bo5bob2o$8bo3bo9bo3bo$5b
o2bo2bobobo3bobobo2bo2bo$3b4o3b2o11b2o3b4o$b6o3bo4bo3bo4bo3b6o$b7obob
3o7b3obob7o$b6o2bo5bo3bo5bo2b6o$b6obo4bo7bo4bob6o$b3o4bo5bo5bo5bo4b3o
$b2ob4o8bobo8b4ob2o$b2ob3o7bobobobo7b3ob2o$b5o2bo2bo4bobo4bo2bo2b5o$b
o3b2o2bo4bob3obo4bo2b2o3bo$4bobo21bobo$6bo8bo3bo8bo$2bo3bobo7b3o7bobo
3bo$3bo4b2o15b2o4bo$2bobo8bo3bo3bo8bobo$2b2o4bo5bobobobo5bo4b2o$o2bo3b
obobo11bobobo3bo2bo$bob2obo21bob2obo$3b2o2bobo3b2obobob2o3bobo2b2o$4b
o8bo2b3o2bo8bo$2bo2bo5bob3obob3obo5bo2bo$5o6bob3o3b3obo6b5o$2o3b3o5b3o
bob3o5b3o3b2o$4o7bobobo3bobobo7b4o$o2bob4o6bo3bo6b4obo2bo$3o2b5o4bo2b
o2bo4b5o2b3o$9o8bo8b9o$obob6o2bo9bo2b6obobo$ob2o6b4o3bo3b4o6b2obo$bo4b
o2b6o2bo2b6o2bo4bo$5b3o2bob5ob5obo2b3o$4b4obo2b5ob5o2bob4o$4b4o4b5ob5o
4b4o$4b4o3bob4ob4obo3b4o$4b4o2bobob3ob3obobo2b4o$4b3o2bobo2b3ob3o2bob
o2b3o$4b3ob2obo2b3ob3o2bob2ob3o$4bo3b3o3b7o3b3o3bo$4b2o2b3o3b7o3b3o2b
2o$4bo3b2o2b5ob5o2b2o3bo$4b6o3b4ob4o3b6o$4b6o2b11o2b6o$4b6o2bo2b5o2bo
2b6o$4b6o2b3obobob3o2b6o$4b7o2b2o2bo2b2o2b7o$4b7ob3obobob3ob7o$4b7ob3o
bobob3ob7o$4b8ob2obobob2ob8o$4b13ob13o$4b8o2b2obob2o2b8o$4b8o2b3ob3o2b
8o$4b7o3bo5bo3b7o$4b5o4b2o5b2o4b5o$4b6o2b3o5b3o2b6o$4b2o2bo2b4o2bo2b4o
2bo2b2o$4bo3bo2bobo7bobo2bo3bo$9bo2bo9bo2bo$5b4ob2obo7bob2ob4o$4b2o5b
o3bobobo3bo5b2o$5bo3bo15bo3bo$2bo2bo6bo2bobobo2bo6bo2bo$4b3o21b3o$3b5o
4bo4bo4bo4b5o$3b5o5bo7bo5b5o$3b5o2b2o5bo5b2o2b5o$3b5o2b2o4b3o4b2o2b5o
$3b5ob4obob3obob4ob5o$3b4o2bob2o9b2obo2b4o$3b5o3b2obo2bo2bob2o3b5o$3b
2o3b3o5b3o5b3o3b2o$3bo2bob4o3bo3bo3b4obo2bo$3b2o3b4o11b4o3b2o$3bo4b8o
3b8o4bo$9b2o3b7o3b2o$5bob6obo2bo2bob6obo$4b2ob5o4bobo4b5ob2o$4b9o9b9o
$3b2ob7obo5bob7ob2o$3bo2b11ob11o2bo$6b6o5bo5b6o$7b6obobobobob6o$6b3o2b
o2bo5bo2bo2b3o$5bo3bo5bobobo5bo3bo$4bobo4bo2bobobobo2bo4bobo$11bo2bob
3obo2bo$4bo8b3o3b3o8bo$7bo2bo13bo2bo$4bo5bo4bo3bo4bo5bo$3b2obo2bo2bo3b
obo3bo2bo2bob2o$3b4o3bo2bobobobobo2bo3b4o$3bob2o2bobo11bobo2b2obo$5b2o
3bo13bo3b2o$6bo7bo5bo7bo$3bo2b2obo5bo3bo5bob2o2bo$2b3obo5bo3bobo3bo5b
ob3o$3b2o2b2o17b2o2b2o$2bob6o5b5o5b6obo$bobo11bo3bo11bobo$2bo4bo2bo4b
2ob2o4bo2bo4bo$16b3o$4b3ob2o2b2o2b3o2b2o2b2ob3o$3b2obobo2b5o3b5o2bobo
b2o$3b2o3bo2b13o2bo3b2o$2b4obobo2b11o2bobob4o$2b4o3b2ob5ob5ob2o3b4o$2b
4o4b7ob7o4b4o$2b5obo5b7o5bob5o$2b4o4bo3b7o3bo4b4o$2b5o2b2o3b7o3b2o2b5o
$3bo5bo4bob3obo4bo5bo$7bo3bo11bo3bo$3b2o10bo3bo10b2o$2b2o4bo4bo2bobo2b
o4bo4b2o$2bobo4bo2bobo2bo2bobo2bo4bobo$2bo7b2o4bobo4b2o7bo$7bo3b2o3bo
bo3b2o3bo$6bobobob2o3bo3b2obobobo$2b2obo6b3o5b3o6bob2o$11b2o9b2o$2bob
2obo4bo9bo4bob2obo$8bo3bob2obob2obo3bo$3bobo3bo2bo4bo4bo2bo3bobo$2bo3b
o3bo2bo2bobo2bo2bo3bo3bo$5bobobobo2bo2bo2bo2bobobobo$3bo6bo13bo6bo$3b
o4bobobo9bobobo4bo$b2obo3bob2obo7bob2obo3bob2o$2o2b2obo6bo5bo6bob2o2b
2o$o4b2ob2obo3bobobo3bob2ob2o4bo$2b3o3bo2b2o9b2o2bo3b3o$3bo7bo11bo7bo
$2bo3b3o2bo4bobo4bo2b3o3bo$5bo6b2obo3bob2o6bo$3bo2bobo2b2o9b2o2bobo2b
o$9bo2bobo5bobo2bo$bo2b2o3bobo2bo5bo2bobo3b2o2bo$4obo4bo13bo4bob4o$4o
27b4o$4obo6b3o5b3o6bob4o$3o5bobobo3bobo3bobobo5b3o$3o6bo3bo7bo3bo6b3o
$3ob2o4b2o2bo2bo2bo2b2o4b2ob3o$o3b2o4bo4b2ob2o4bo4b2o3bo$2o2b2o3b2o2b
o7bo2b2o3b2o2b2o$o3b2o3b3o4bobo4b3o3b2o3bo$3bo4b2o6bobo6b2o4bo$9bo4bo
2bo2bo4bo$8bo6bo3bo6bo$2bo5bo3bobo5bobo3bo5bo$5bo5bo11bo5bo$4bo2bo6bo
5bo6bo2bo$7bo7bobobo7bo$7b2obobo9bobob2o$4bo25bo$5b2o7bo5bo7b2o$4bobo
bobo13bobobobo$4b6o5b5o5b6o$2bo3b2o6b7o6b2o3bo$5b3o4b11o4b3o$5b25o$5b
4o3b5ob5o3b4o$6b2o3b6ob6o3b2o$4bobo8b2ob2o8bobo$3b4o3b2o4bobo4b2o3b4o
$4b2o4bo3b3ob3o3bo4b2o$2bo2bo3bo4bobobobo4bo3bo2bo$2bo2bo2bo7b3o7bo2b
o2bo$3b2o4bo2bo9bo2bo4b2o$9b2o5b3o5b2o$4bo5b3o2b5o2b3o5bo$5bo3bo2b2ob
5ob2o2bo3bo$4bobo3bob2ob5ob2obo3bobo$3bobobo2bob2ob5ob2obo2bobobo$4bo
bo2b5ob5ob5o2bobo$3bobo8b7o8bobo$2b2o10b7o10b2o$9bobob9obobo$2bo9bo4b
o4bo9bo$b2obo3b3o2bo2b3o2bo2b3o3bob2o$5bo7bo7bo7bo$4bo3b3o2bo7bo2b3o3b
o$2bobo7bo9bo7bobo$b2obo3bo17bo3bob2o$b2obo4bo3bo7bo3bo4bob2o$3o2bo7b
3o3b3o7bo2b3o$5o8b3o3b3o8b5o$o3bobo6b3o3b3o6bobo3bo$2o2b2o7b3o3b3o7b2o
2b2o$obobobo6b3o3b3o6bobobobo$2o2b3obobobo2bo3bo2bobobob3o2b2o$o3bo2b
o3b3ob5ob3o3bo2bo3bo$bo4bo5b3o5b3o5bo4bo$6b2o3bobobo3bobobo3b2o$3b2o3b
o3bo4bo4bo3bo3b2o$bo9bobo7bobo9bo$bo2bo3bo3b2o7b2o3bo3bo2bo$8b3o4b2ob
2o4b3o$2bobo2b6o9b6o2bobo$3bo2b2ob5ob5ob5ob2o2bo$6b2ob5obo3bob5ob2o$3b
o3bob6ob3ob6obo3bo$o3b2o3b6o2bo2b6o3b2o3bo$bo5b4ob5ob5ob4o5bo$9b2ob5o
b5ob2o$2bobobob3ob4o3b4ob3obobobo$3bob2ob3ob2ob5ob2ob3ob2obo$6bo2b3ob
ob5obob3o2bo$bo5b4o5b3o5b4o5bo$8b3o2b2o2bo2b2o2b3o$5bo2b4o2bo5bo2b4o2b
o$2bo3bo2b5ob2ob2ob5o2bo3bo$8b6obobobob6o$2bo5bob3o9b3obo5bo$bo6b5o2b
o3bo2b5o6bo$o3bo6b5o3b5o6bo3bo$5bobob7o3b7obobo$8bo6bo3bo6bo$7bo6b2o3b
2o6bo$6bo5b2o7b2o5bo$11bo11bo$12bobo5bobo2$12bo9bo!