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Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 3rd, 2025, 4:59 pm
by rabbit
AforAmpere wrote: November 2nd, 2025, 7:06 pm
From a discussion with rabbit and Docsy on Discord, a C/5 that exists with only B2c3a for birth conditions, found with LLS:
Code: Select all
x = 8, y = 9, rule = B2c3a/S1c2a3-cj4aejnryz5-aiq6-c78
4bo2$4bo$ob4obo2$ob4obo$4bo2$4bo!
I've tried finding faster ships, but all results have come up negative, including any C/4s in a 40x40 box. I'm not sure if C/5 is the speed limit definitively, but it seems likely. If anyone would be able to prove or disprove that, I'd be interested to see.
Other spaceships also found by AforAmpere include:
c/6 orthogonal:
Code: Select all
x = 7, y = 6, rule = B2c3a/S1e2ci3eikn4ijnty5-cq6-k78
4bo$3b3o$ob5o$b5o$2b3o$3bo!
c/5 orthogonal:
Code: Select all
x = 8, y = 9, rule = B2c3a/S1c2a3-cj4aejnryz5-aiq6-c78
4bo2$4bo$ob4obo2$ob4obo$4bo2$4bo!
c/6 orthogonal:
Code: Select all
x = 6, y = 9, rule = B2c3a/S02-cn3-eq4-ikqwz5-ik6-a78
2bo2$2bo$ob2obo$bo$ob2obo$2bo2$2bo!
Oscillators found by me include:
p20:
Code: Select all
x = 8, y = 8, rule = B2c3a/S2c3i4ijnty5-cjq678
3bo$2b3o$b5o$7o$b7o$2b5o$3b3o$4bo!
p19 (None of S01ce2aceikn):
Code: Select all
x = 6, y = 6, rule = B2c3a/S3ij4nqry5-c678
3bo$2b3o$b5o$5o$b3o$2bo!
Also, here's a c/5 wickstretcher by Docsy, proving linear growths also exist in the B2c3a/S* space (I'm unsure if they have a conwaylife.com account):
Code: Select all
x = 6, y = 7, rule = B2c3a/S1c2ai3-cj4aejnryz5-inq6-c78
4b2o$3b2o$6o$bo$6o$3b2o$4b2o!
It seems like symmetric, dense clusters of cells lend themselves to expansionary behaviour in these rules.
Open problems without a well-defined solution: Does a B2c3a/S* rule exist with a 'common' spaceship? Are there any particularly small (common-spaceship-sized) spaceships in these rules?
EDIT (2025-11-07): I found another c/5 orthogonal spaceship on the 3rd:
Code: Select all
x = 7, y = 7, rule = B2c3a/S2ae3aiqr4aenry5acjn6eik7
2obo$ob3o$3bo$6bo$3bo$ob3o$2obo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 3rd, 2025, 6:04 pm
by hotcrystal0
(28,6)c/126 block puffer and a spaceship corderized from it:
Code: Select all
x = 55, y = 51, rule = B38/S234c5e6i
49b2ob2o$49bo3bo$50b3o3$53b2o$53b2o4$2ob2o$o3bo$b3o3$4b2o$4b2o6$49bo$
47b2ob2o$47b2o$46bobo2bo$32b2o13bo$32b2o14b2o2$48b2o$47bo5b2o$48b2o$52b
obo$52b2o3$44bo$42b2o$43b2o9$41bo$38bob3o$38bobobo$39bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 4th, 2025, 12:26 am
by yyh_baboon
Interesting puffer:
Code: Select all
x = 43, y = 42, rule = B2n3-n4cey/S2-n3-c4i
5bo18bo$4b2obo16bo$5b2o17bo$17b2o$17b2o6$4b3o27bo$b2obob2obo10b3o10bo
bo$2o4b3o8b2o2bo8bo5bo$b5o14b2o4bobo5bobo$2b2o11b2obob2o4bob2o5bo$16b
o3bo6b2o$16bo3bo$17b3o14bob2o$34bobo$34b3o$6b2o$6b2o$9b3o2$6b2o4$40bo
$15bo24bobo$4b2o8b3o23b3o$3bo2bo7bobo$2b2o2bo5bo4b2o11b2o$3b2o2bo3b2o
5b2o9bo$4b4o3b2o2b2obo11b3o$7bo2bo2bob3o12bo$8bo6bo$7b2o$8b2o3b2o$9b4o
$11bo$11bo!
[[ THEME INVERSE ]]
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 4th, 2025, 11:50 pm
by Sylvani
In Golly, you can have 6-letter (von Neumann) and 22-letter (hexagonal) MAP rules. I like to put words and phrases into these rules, and sometimes I find interesting things.
An example is the rule "MAP/gOrillaGorillaGorilLA". So far I've found these three spaceships with LLSSS's new update.
Code:
Select all
x = 31, y = 16, rule = MAP/gOrillaGorillaGorilLA
2bo10bo13bo$b2o9bo15bo$2ob2o8bobo12bo$2o10bo2bo10bobo$3b2o8bob2o6bo3bo
$4bo8bo2b3o6b2o$o3b2o8bobo6b2ob4o$3bobo10b2o6b5o$2bo2b3o9bo10bo$3bob3o
10b2o7b4o$5bo21bo$5bobobo17bo$6b2ob2o17b2o$9b2o$10bo$11b2o!
The ships in the above RLE are (from left to right), (2,1)c/4 (west-northwest), c/2 diagonal (northwest), and c/2 orthogonal (north).
Here's a c/3n in an 86-character long rule from a brute-force script (I will provide details at the end).
Code:
Select all
x = 13, y = 16, rule = MAPASSesSWATERBeLiEfsvILlAgEceRtAInSUrgeOnsspArEcoTToNStanLEYdivISioNBiOlOgytoOlBaRPanamA
bo$o$obo$b3o$2o$bo$b3o$bo3b2o$3bobobo$2bo5bo$2b3o3bo$3bo$6bo2b3o$5bo3b
o2bo$5bo3bob2o$9b3o!
A fairly small c/3e ship in an 86-character long rule
Code:
Select all
x = 7, y = 7, rule = MAPAngErTEmPLEFAIrlYprOjEcTasKEdPaTCHEsSySteMFeEdSillNESswELLSfESTiVAlHospItalrUGBYASTHMA
5bo$2bobo$4bo$b3ob2o$o2bo$bo$3bo!
(2,2,3)-cell c/3NW
Code:
Select all
x = 2, y = 1, rule = MAPEXisTEDFLOReNCEhaRmfulBELOWcOLORSmOSTLYSYMpATHYBURnErVictIMSCrEatIVEMAjORcHERRYsInGiNg
2o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 6th, 2025, 5:40 am
by yyh_baboon
Faied-RRO ship:
Code: Select all
x = 16, y = 5, rule = B2n3-n4ce6n8/S2-n34ci6ei
2bo12bo$b2o$2obo$bobo$2b2o!
[[ THEME INVERSE ]]
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 6th, 2025, 6:11 pm
by WhiteHawk
yyh_baboon wrote: November 6th, 2025, 5:40 am
Faied-RRO ship:
Code: Select all
x = 16, y = 5, rule = B2n3-n4ce6n8/S2-n34ci6ei
2bo12bo$b2o$2obo$bobo$2b2o!
[[ THEME INVERSE ]]
Weird almost quadratic growth in the same rule
Code:
Select all
x = 11, y = 7, rule = B2n3-n4ce6n8/S2-n34ci6ei
7bo2bo$3o3bo$obo2b4o$o2bobo2bo$2obob3o$b3o2bo$2bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 6th, 2025, 7:21 pm
by 102564
What kind of growth is this? The population plot is wacky.
Code:
Select all
x = 26, y = 5, rule = B3ai4ce5c6c7c/S3acein4et5i6cei78
2o$2o$11b2o11bo$11b3o9b3o$11b2o11bo!
p184
Code:
Select all
x = 26, y = 26, rule = B3ai4ce5c6c7c/S3acein4eqt5i6cei78
2o20bo$2o19b3o$22bo10$22bo$21b3o$21b3o10$24b2o$24b2o!
Edit: gun with a p184 barrel and a p368 barrel
Code:
Select all
x = 154, y = 93, rule = B3ai4ce5c6c7c/S3acein4eqt5i6cei78
128b2o$128b2o37$152b2o$152b2o10$16b2o$16b2o4$18b3o$17bobobo$16bob3obo
$15bob5obo$14bob7obo$13bob9obo$12bob11obo$11bob13obo$10bob15obo$2b2o5b
ob17obo$2b2o4bob19obo$7bob21obo$6bob23obo$5bob25obo$4bob27obo$3bob29o
bo$2bob31obo$bob33obo$ob35obo$39o$ob35obo$bob33obo$2bob31obo$3bob29ob
o$4bob27obo$5bob25obo$6bob23obo$7bob21obo$8bob19obo$9bob17obo$10bob15o
bo$11bob13obo$12bob11obo$13bob9obo$14bob7obo$15bob5obo77b2o$16bob3obo
78b2o$17bobobo$18b3o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 7th, 2025, 1:15 pm
by Resu
Sparky p34.
Code: Select all
x = 7, y = 7, rule = B34ceiq5acky6-ek7c8/S23-a5cejkr6-c7e8
3bo$2bobo$bobobo$ob3obo$bobobo$2bobo$3bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 11th, 2025, 1:27 am
by WhiteHawk
yyh_baboon wrote: November 11th, 2025, 12:26 am
This one please:(3c/300d)
Really crazy quadratic growth in the same rule
Code:
Select all
x = 5, y = 9, rule = B3-kn5k6cn/S2-i34i5ek
o$b2o$2bo$3o2$2b2o$bob2o$bobo$b2o!
All-blocks puffer
Code:
Select all
x = 14, y = 10, rule = B3-kn5k6cn/S2-i34i5ek
2bo3b2o4b2o$2o5b2o3bo$o5b2o$3o3bo2$3o4b2o$o6b2o$obo5b2o$b2o7bo$10bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 11th, 2025, 1:40 am
by Resu
Spaceship hits slower spaceships and turns into a puffer.
Code: Select all
x = 43, y = 39, rule = B3-kn5k6cn/S2-i34i5ek
3o$o$obo$b2o32$40b3o$40bo$40bobo$41b2o!
2 puffers partially suppressing each other:
Code: Select all
x = 53, y = 39, rule = B3-kn5k6cn/S2-i34i5ek
3o$o$obo$b2o32$50b3o$50bo$50bobo$51b2o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 11th, 2025, 3:10 am
by yyh_baboon
Weird rake:
Code: Select all
x = 4, y = 5, rule = B3-cn4e5e/S2-i34ci
bo$ob2o$o2bo$o2bo$b2o!
[[ THEME INVERSE ]]
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 11th, 2025, 6:23 pm
by Naszvadi
yyh_baboon wrote: November 11th, 2025, 3:10 am
Weird rake:
Code: Select all
x = 4, y = 5, rule = B3-cn4e5e/S2-i34ci
bo$ob2o$o2bo$o2bo$b2o!
[[ THEME INVERSE ]]
Corderized:
Code: Select all
x = 644, y = 53, rule = B3-cn4e5e/S2-i34ci
3bo573b2o$2b3o571bo2bo$bo574b2o$b5o27b2o540bo2b2o$32b2o2bo449bo4bo82b
2ob3o$32b2o2bo448bo5bo81bobo3bo$2o30bo3bo12bo436bo2bo84bo2b2o$obo28bo
2bo13bobo524b3o$2b2o27bo2bo19b2o463bobo54bo$bo3b2o24bo2b2o19b2o433bo
28bobo$b3o2bo22bob5o14bo3b2o39b2o305bo84bob2o29bo$3b3o22bo4bobo17b2o
39bob2o302b4o83b3o$4bo22bo2bo3bo13b2o39b2o3bo3b2o216bo82b2o2b2o83bo59b
2o71bo$27b4o3bo25b2o26bobo3bobobobo97bo87bo29b2o56bo23bob4o57b2o84bob
2o30b2o18b2o17bob2o8b2o$28bo30bobo25b2obo5bo3bo96b3o28b2o55b3o29b2o54b
3o22bo2bo58bob2o49bo32b2obo30bobo17bo2bo15bo2bobo6bob2o$59b2o27b2o5bob
4o95bo2b2o26b2o2bo52bo2b2o21b2o4b2o55bob2o22b3o57bo2bo30b2o16b4o31b2ob
o30b2o17b2o2bo15b2ob3o6bo3b2o$89bo5bobo42b2o54b2ob2o26b2o2bo52bo3bo21b
3o3bo83bo24b2o34b2o29bobo15bob2o27b3o56b2o2bo26bobobobo$93b2o44b2o2bo
51b3o29b2o2bo14bo38b2obo21bobo21bo70b2o14b2o2bo2b2o26b4o32b2o15b2o4b3o
22b5o3bobo50b4o22bo5bo3bo$139b2o2bo52bo31b2o15bobo39b2o22bob2o18b3o30b
3o35bobo13bobo3b2obo23b3o3bo50b3o4bo22bo3bo2bobo82bob4o$139b2o2bo12bo
41bobo43b3obo30bo31b3o3b2o12bo3bo2bo26bob2o35b2o13b2obo4bob2o21b3o4b2o
50b2o2b3o29b2o83bobo$140b2o13bobo40bobo24b2o15b2o4b2o28b2o32bo3bobo12b
4o6bo23bob2ob2o48bobo7b2o20bo3b4ob2o78b3o86b2o$137bo3bo19b2o35b3o23b3o
2b2o10bobobob2o29b2o36b2o12bo9b4o25b2o3bo47bo5bobo27b3o$136b3o2b2o19b
2o59bo4bobo10bo2b2obo29b2o61b3obo19b2ob4o3bo53b2o23b3o$136bo2bo17bo3b
2o26b2o32b4o2bo12bob3o31bo60bo2bobo19b2ob2o2b2obo$134b2o6bo17b2o29bo
32bo3bo26b2o82bob3o28b2o$125b2o6b2o3b2obo13b2o32b2o63bobo25b2o57bo$
125b3o6bo2bo29b2o85b2o26b3o$126b2ob2o4b3o30bo$126b2ob3o4bo29bo$127bo3b
o33b3o$13b2o28b2o28b2o28b2o23bo2bobo31b2o$13b2o28b2o28b2o28b2o58bo3b2o
$159b2o2bob3o$135b2o22b2o3bo3bo52b2o31b2o$135b2o82b2ob2o24b3o3bobo$
199b2o18bo2bo25bobo4b2o85b2o$199bobo17bo2bo8bo16bobo58b3o30bobo114bo$
167bo32bo19b2o65b2o20bo7b2o24b2o85b2o27bo$201bo28b2o20b3o31bo2bo19b2o
5b2obo16b3o91bobo$162bo4bo62bo23bo31bo2bo26b4o16bobo59b3o2b2o15bo10b2o
84bobo27bobo$163bo86b2o2bo30b2o2b2o24b2o19bo2b2o34bo22bo2b5o13bo3b2o
28b2o63bobo25b2o57bo19bo14b2o$225bo25bobo33bobo26bo20bo2bo33bobo24bo4b
o12bo33b2o64b2o82b5o13bo3bo13bo2bo$224bo2bo60b2o27bo19bo2bo32bo3bo21b
2ob2ob2o11b4o3b2o27bo32b3ob3o13bobo31bo61bo4bo16bo12bo3b2o$194b3o27bo
2bo55bobo26bobo2bo20b2o32b2o2b2o24bo2bo12b3o5bo59bo2bo4bo10b2o2b2o31b
2o51bo8bo3bo11b2o2bo14bob2o$193bo2bo29bobo54bo29bob3o55b2o27b3o14b3o4b
o36bo25b3ob2o11b2obob2o28bo38b2o12bo4bo5b3o15b2o15b2o$193bo3bo116bo2bo
53bo31bobo13b3o3bo36b3o23bo18bo4bo31bo35bobo12b3o4bo2bo$193bo2b3o84bo
2bo27b2ob2o52b2o31bobo57bo43bo3bo29b2o31b3o3b2o13bobo$194bo88b2o32bo
86b4o53bo23bo6b2o15b3o39bo22bo2bo19b3ob2o17bo$195b2obo84bobo118bobo52b
2o2bo22bo5bobo54b4o24bo42bo$196b2o86b2o86b2ob2o27b2o54bo3bo27b4o52bo3b
o21b2o$197bo87bobo84bo2bo84bo2bo28bobo53bo2bo23bo3b3o$286bo86b3o85b3o
28b2o55b3o29bo$579b3o!
unsimplified is c/2, and a different smaller ship:
Code: Select all
x = 311, y = 71, rule = B3-cn4e5e/S2-i34ci
12bo$11bobo3b3o20bo$11b2o2bob2obo18bobo3b3o20bo$39b2o2bob2obo18bobo3b
3o20bo$22b3o42b2o2bob2obo18bobo3b3o20bo$22bo2bo24b3o42b2o2bob2obo18bo
bo3b3o20bo$8b3o10bo3bo24bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo$8bo2bo10b
4o10b3o10bo3bo24bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo$7bo3bo24bo2bo10b
4o10b3o10bo3bo24bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo$8b4o10b4o9bo3bo
24bo2bo10b4o10b3o10bo3bo24bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo$21bo3b
o10b4o10b4o9bo3bo24bo2bo10b4o10b3o10bo3bo24bo2bo24b3o42b2o2bob2obo18b
obo3b3o20bo4bo$8b4o10bo2bo23bo3bo10b4o10b4o9bo3bo24bo2bo10b4o10b3o10b
o3bo24bo2bo24b3o42b2o2bob2obo18bobo2bobo3b3o$7bo3bo10b3o11b4o10bo2bo23b
o3bo10b4o10b4o9bo3bo24bo2bo10b4o10b3o10bo3bo24bo2bo24b3o42b2o3b2o2bob
2obo$8bo2bo23bo3bo10b3o11b4o10bo2bo23bo3bo10b4o10b4o9bo3bo24bo2bo10b4o
10b3o10bo3bo24bo2bo24b3o$8b3o4bobo18bo2bo23bo3bo10b3o11b4o10bo2bo23bo
3bo10b4o10b4o9bo3bo24bo2bo10b4o10b3o10bo3bo24bo2bo29b3o$36b3o4bobo18b
o2bo23bo3bo10b3o11b4o10bo2bo23bo3bo10b4o10b4o9bo3bo24bo2bo10b4o10b3o10b
o3bo29bo2bo$4bobo57b3o4bobo18bo2bo23bo3bo10b3o11b4o10bo2bo23bo3bo10b4o
10b4o9bo3bo24bo2bo10b4o10b3o15bo3bo$b2o22b2o2bob2obo57b3o4bobo18bo2bo
23bo3bo10b3o11b4o10bo2bo23bo3bo10b4o10b4o9bo3bo24bo2bo15b4o$3o17bobo2b
obo3b3o19b2o2bob2obo57b3o4bobo18bo2bo23bo3bo10b3o11b4o10bo2bo23bo3bo10b
4o10b4o9bo3bo$b2o23bo21bobo2bobo3b3o19b2o2bob2obo57b3o4bobo18bo2bo23b
o3bo10b3o11b4o10bo2bo23bo3bo10b4o15b4o$bo52bo21bobo2bobo3b3o19b2o2bob
2obo57b3o4bobo18bo2bo23bo3bo10b3o11b4o10bo2bo28bo3bo$82bo21bobo2bobo3b
3o19b2o2bob2obo57b3o4bobo18bo2bo23bo3bo10b3o11b4o15bo2bo$7b3o100bo21b
obo2bobo3b3o19b2o2bob2obo57b3o4bobo18bo2bo23bo3bo15b3o$6bo2bo128bo21b
obo2bobo3b3o19b2o2bob2obo57b3o4bobo18bo2bo$6bo3b2o154bo21bobo2bobo3b3o
19b2o2bob2obo57b3o12bobo$6bo4bo182bo21bobo2bobo3b3o19b2o2bob2obo41b2o
$9b3o210bo21bobo2bobo3b3o19b2o2bob2obo12b3o$250bo21bobo2bobo3b3o14b2o
$9b3o266bo21bo$6bo4bo$6bo3b2o294b3o$6bo2bo295bo2bo$7b3o295bo3b2o$obo302b
o4bo$obo305b3o2$obo305b3o$obo302bo4bo$7b3o295bo3b2o$6bo2bo295bo2bo$6b
o3b2o294b3o$6bo4bo$9b3o266bo21bo$250bo21bobo2bobo3b3o14b2o$9b3o210bo21b
obo2bobo3b3o19b2o2bob2obo12b3o$6bo4bo182bo21bobo2bobo3b3o19b2o2bob2ob
o41b2o$6bo3b2o154bo21bobo2bobo3b3o19b2o2bob2obo57b3o12bobo$6bo2bo128b
o21bobo2bobo3b3o19b2o2bob2obo57b3o4bobo18bo2bo$7b3o100bo21bobo2bobo3b
3o19b2o2bob2obo57b3o4bobo18bo2bo23bo3bo15b3o$82bo21bobo2bobo3b3o19b2o
2bob2obo57b3o4bobo18bo2bo23bo3bo10b3o11b4o15bo2bo$bo52bo21bobo2bobo3b
3o19b2o2bob2obo57b3o4bobo18bo2bo23bo3bo10b3o11b4o10bo2bo28bo3bo$b2o23b
o21bobo2bobo3b3o19b2o2bob2obo57b3o4bobo18bo2bo23bo3bo10b3o11b4o10bo2b
o23bo3bo10b4o15b4o$3o17bobo2bobo3b3o19b2o2bob2obo57b3o4bobo18bo2bo23b
o3bo10b3o11b4o10bo2bo23bo3bo10b4o10b4o9bo3bo$b2o22b2o2bob2obo57b3o4bo
bo18bo2bo23bo3bo10b3o11b4o10bo2bo23bo3bo10b4o10b4o9bo3bo24bo2bo15b4o$
4bobo57b3o4bobo18bo2bo23bo3bo10b3o11b4o10bo2bo23bo3bo10b4o10b4o9bo3bo
24bo2bo10b4o10b3o15bo3bo$36b3o4bobo18bo2bo23bo3bo10b3o11b4o10bo2bo23b
o3bo10b4o10b4o9bo3bo24bo2bo10b4o10b3o10bo3bo29bo2bo$8b3o4bobo18bo2bo23b
o3bo10b3o11b4o10bo2bo23bo3bo10b4o10b4o9bo3bo24bo2bo10b4o10b3o10bo3bo24b
o2bo29b3o$8bo2bo23bo3bo10b3o11b4o10bo2bo23bo3bo10b4o10b4o9bo3bo24bo2b
o10b4o10b3o10bo3bo24bo2bo24b3o$7bo3bo10b3o11b4o10bo2bo23bo3bo10b4o10b
4o9bo3bo24bo2bo10b4o10b3o10bo3bo24bo2bo24b3o42b2o3b2o2bob2obo$8b4o10b
o2bo23bo3bo10b4o10b4o9bo3bo24bo2bo10b4o10b3o10bo3bo24bo2bo24b3o42b2o2b
ob2obo18bobo2bobo3b3o$21bo3bo10b4o10b4o9bo3bo24bo2bo10b4o10b3o10bo3bo
24bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo4bo$8b4o10b4o9bo3bo24bo2bo10b4o
10b3o10bo3bo24bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo$7bo3bo24bo2bo10b4o
10b3o10bo3bo24bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo$8bo2bo10b4o10b3o10b
o3bo24bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo$8b3o10bo3bo24bo2bo24b3o42b
2o2bob2obo18bobo3b3o20bo$22bo2bo24b3o42b2o2bob2obo18bobo3b3o20bo$22b3o
42b2o2bob2obo18bobo3b3o20bo$39b2o2bob2obo18bobo3b3o20bo$11b2o2bob2obo
18bobo3b3o20bo$11bobo3b3o20bo$12bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 12th, 2025, 2:26 pm
by vilc
Naszvadi wrote: November 11th, 2025, 6:23 pm
unsimplified is c/2, and a different smaller ship:
6-engines version, using the same frontend.
Code:
Select all
x = 48, y = 67, rule = B3-cn4e5e/S2-i34ci
8$20bo$19bobo3b3o$19b2o2bob2obo2$30b3o$17bo12bo2bo$16b3o10bo3bo$15b2o
2bo10b4o$15bo3b2o$16bob2o10b4o$29bo3bo$16bob2o10bo2bo$15bo3b2o9b3o$15b
2o2bo$16b3o7bobo$17bo5b2o$9b2o11b3o$12b2o9b2o$10bob2o9bo$12bo$29b3o$
18bo9bo2bo$17b3o8bo3b2o$16bo2b2o7bo4bo$17b3o11b3o2$17b3o11b3o$16bo2b2o
7bo4bo$17b3o8bo3b2o$18bo9bo2bo$29b3o$12bo$10bob2o9bo$12b2o9b2o$9b2o11b
3o$17bo5b2o$16b3o7bobo$15b2o2bo$15bo3b2o9b3o$16bob2o10bo2bo$29bo3bo$
16bob2o10b4o$15bo3b2o$15b2o2bo10b4o$16b3o10bo3bo$17bo12bo2bo$30b3o2$
19b2o2bob2obo$19bobo3b3o$20bo!
(edited with a shorter one)
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 12th, 2025, 9:02 pm
by hotcrystal0
WhiteHawk wrote: November 11th, 2025, 1:27 am
yyh_baboon wrote: November 11th, 2025, 12:26 am
This one please:(3c/300d)
Really crazy quadratic growth in the same rule
Code:
Select all
x = 5, y = 9, rule = B3-kn5k6cn/S2-i34i5ek
o$b2o$2bo$3o2$2b2o$bob2o$bobo$b2o!
All-blocks puffer
Code:
Select all
x = 14, y = 10, rule = B3-kn5k6cn/S2-i34i5ek
2bo3b2o4b2o$2o5b2o3bo$o5b2o$3o3bo2$3o4b2o$o6b2o$obo5b2o$b2o7bo$10bo!
Beehive puffer:
Code: Select all
x = 12, y = 9, rule = B3-kn5k6cn/S2-i34i5ek
6b4o$6bo2b2o$3o3b3ob2o$3o5b3o2$4bo3b3o$3b2o5bo$2b2o5b2o$3b2o3bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 12th, 2025, 10:12 pm
by 102564
p438 12-barrelled gun:
Code:
Select all
x = 284, y = 139, rule = B3ai4ce5c6c7c/S3acein4et5i6cei78
268bo$264bobob2o$265b6o$262bob8o$263b10o$261b13o$259bob14o$260b16o$258b
19o$256bob20o$257b22o$255b25o$253bob26o$254b28o$252b31o$250bob32o$251b
32o$249b33o$247bob32o$248b32o$246b33o$244bob32o$245b32o$243b33o$241bo
b32o$242b32o$242b31o$245b27o$245bo2bob21o$248bo4b17o$253bo2bob5ob5o$233b
obo20bob5o3b2o$234bo31bo$234bo$233b3o$234bo$193b3o$192bobobo$191bob3o
bo$190bob5obo$189bob7obo$188bob9obo$187bob11obo$186bob13obo$185bob15o
bo$184bob17obo$183bob19obo$182bob21obo$181bob23obo$180bob25obo$180b29o
$180bob25obo$181bob23obo$182bob21obo$183bob19obo$184bob17obo$185bob15o
bo$186bob13obo$187bob11obo$188bob9obo$189bob7obo$190bob5obo$191bob3ob
o$89bo102bobobo4bobo$88b3o102b3o6bo$89bo112bo$89bo111b3o$88bobo111bo4$
81bo111bobo$80b3o111bo$81bo112bo$81bo6b3o102b3o$80bobo4bobobo102bo$86b
ob3obo$85bob5obo$84bob7obo$83bob9obo$82bob11obo$81bob13obo$80bob15obo
$79bob17obo$78bob19obo$77bob21obo$76bob23obo$75bob25obo$75b29o$75bob25o
bo$76bob23obo$77bob21obo$78bob19obo$79bob17obo$80bob15obo$81bob13obo$
82bob11obo$83bob9obo$84bob7obo$85bob5obo$86bob3obo$87bobobo$88b3o$49b
o$48b3o$49bo$17bo31bo$16b2o3b5obo20bobo$15b5ob5obo2bo$14b17o4bo$13b21o
bo2bo$12b27o$11b31o$10b32o$9b32obo$8b33o$7b32o$6b32obo$5b33o$4b32o$3b
32obo$2b33o$b32o$32obo$b31o$2b28o$3b26obo$4b25o$5b22o$6b20obo$7b19o$8b
16o$9b14obo$10b13o$11b10o$12b8obo$13b6o$14b2obobo$15bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 15th, 2025, 6:29 am
by yyh_baboon
Something:
Code: Select all
x = 4, y = 3, rule = B3-n5k7e/S2-n3-c4iq6c
3o$o2bo$ob2o!
[[ THEME INVERSE ]]
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 15th, 2025, 8:01 am
by b-engine
yyh_baboon wrote: November 15th, 2025, 6:29 am
Something:
It's a gun of this orthogonal 30c/122 spaceship:
Code: Select all
x = 19, y = 8, rule = B3-n5k7e/S2-n3-c4iq6c
3bo$2b3o$b2obo2$5bo$2ob3o12bo$2ob3o11b2o$17bo!
EDIT:
30c/132 failed replicator spaceship:
Code: Select all
x = 21, y = 18, rule = B3-n4c5k7e/S2-n3-c4iq6c
10bo$9b2o$8b2obo$9bobo6b2o$10b2o7b2o$18b2o$18bo4$15b2o$2o12bobo$2o4$11b
o5b2o$16b3o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 15th, 2025, 8:04 pm
by rabbit
B becomes 8c/106 LWSS rake:
Code: Select all
x = 3, y = 4, rule = B34w/S2-n34n7e
2o$b2o$2o$o!
7c/54 diagonal LWSS rake:
Code: Select all
x = 3, y = 4, rule = B34w6c/S2-n3-ek4n
2o$b2o$2o$o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 16th, 2025, 5:20 am
by yyh_baboon
Some failed-rep thing:
Code: Select all
x = 4, y = 3, rule = B3-n4ce6n7c/S2-n34ci5e6n
3o$o2bo$ob2o!
[[ THEME INVERSE ]]
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 16th, 2025, 8:05 am
by Naszvadi
rabbit wrote: November 15th, 2025, 8:04 pm
B becomes 8c/106 LWSS rake:
...
The first is corderized:
Code: Select all
#C [[ TRACK 0/106 -8/106 ]]
x = 1037, y = 577, rule = B34w/S2-n34n7e
311bo2bo407bo2bo$311bo2bo407bo2bo$315bo405bo$310bo2b3o405b3o2bo$310bob
ob2o405b2obobo$311b2obo20b2o363b2o20bob2o$334b4o361b4o$334b2ob2o359b2o
b2o$336b2o361b2o$269bo2bo491bo2bo$268bo499bo$268bo3bo491bo3bo$268b4o
38b2o413b2o38b4o$310b2o413b2o$389b2o255b2o$387b2ob2o253b2ob2o$321b2o
64b4o255b4o64b2o$321b2o65b2o257b2o65b2o$215b4o599b4o$215bo3bo597bo3bo$
215bo605bo$216bo2bo221b2o151b2o221bo2bo$440b4o149b4o$440b2ob2o147b2ob
2o$321b2o119b2o149b2o119b2o$163bo2bo154b2o391b2o154bo2bo$162bo711bo$
162bo3bo703bo3bo$162b4o127bo449bo127b4o$293b2o447b2o$292bobo200b2o43b
2o200bobo$493b2ob2o41b2ob2o$321b2o170b4o43b4o170b2o$321b2o171b2o45b2o
171b2o$109b4o811b4o$109bo3bo809bo3bo$109bo817bo$110bo2bo809bo2bo3$321b
2o391b2o$321b2o391b2o2$80bo875bo$80bobo871bobo$80b2o873b2o$88bo859bo$
87bobo15b2o159b2o501b2o159b2o15bobo$87bobo14b2o161b2o52b2o391b2o52b2o
161b2o14bobo$88bo17bo159bo54b2o391b2o54bo159bo17bo5$88bo412bo33bo412bo
$87bobo409b2o35b2o409bobo$87bobo231b2o177b2o33b2o177b2o231bobo$88bo
232b2o391b2o232bo5$88bo859bo$87bobo857bobo$87bobo231b2o391b2o231bobo$
88bo43bo107bo80b2o391b2o80bo107bo43bo$131b2o107b2o553b2o107b2o$131bobo
105bobo553bobo105bobo3$88bo859bo$87bobo857bobo$87bobo231b2o391b2o231bo
bo$88bo232b2o391b2o232bo4$54bo927bo$53bo34bo859bo34bo$53b3o31bobo857bo
bo31b3o$87bobo231b2o391b2o231bobo$88bo232b2o391b2o232bo3$158b2o53b2o
607b2o53b2o$157b2o55b2o605b2o55b2o$88bo70bo53bo609bo53bo70bo$87bobo
857bobo$87bobo231b2o391b2o231bobo$88bo232b2o150bobo85bobo150b2o232bo$
473b2o87b2o$474bo87bo3$88bo859bo$87bobo857bobo$87bobo68bo2bo49bo2bo
106b2o391b2o106bo2bo49bo2bo68bobo$88bo69bo2bo49bo2bo106b2o391b2o106bo
2bo49bo2bo69bo$162bo47bo615bo47bo$157bo2b3o47b3o2bo605bo2b3o47b3o2bo$
157bobob2o47b2obobo605bobob2o47b2obobo$158b2obo20b2o5b2o20bob2o607b2ob
o20b2o5b2o20bob2o$88bo92b4o3b4o653b4o3b4o92bo$87bobo91b2ob2ob2ob2o653b
2ob2ob2ob2o91bobo$87bobo93b2o3b2o131b2o391b2o131b2o3b2o93bobo$88bo27bo
2bo133bo2bo64b2o391b2o64bo2bo133bo2bo27bo$115bo141bo521bo141bo$115bo3b
o133bo3bo521bo3bo133bo3bo$115b4o38b2o55b2o38b4o521b4o38b2o55b2o38b4o$
157b2o55b2o605b2o55b2o3$27bo140b2o33b2o116b2o391b2o116b2o33b2o140bo$
27bobo138b2o33b2o116b2o391b2o116b2o33b2o138bobo$27b2o278b4o415b4o278b
2o$306bo3bo415bo3bo$157b2o55b2o94bo415bo94b2o55b2o$157b2o55b2o90bo2bo
417bo2bo90b2o55b2o3$168b2o33b2o627b2o33b2o$168b2o33b2o627b2o33b2o2$
448bo139bo$157b2o55b2o230b2o141b2o230b2o55b2o$157b2o55b2o231b2o139b2o
231b2o55b2o3$168b2o33b2o627b2o33b2o$168b2o33b2o627b2o33b2o3$157b2o55b
2o605b2o55b2o$157b2o55b2o605b2o55b2o3$168b2o33b2o627b2o33b2o$168b2o33b
2o627b2o33b2o3$157b2o55b2o605b2o55b2o$157b2o55b2o605b2o55b2o3$168b2o
33b2o627b2o33b2o$168b2o33b2o627b2o33b2o$bo1033bo$o1035bo$3o154b2o55b2o
605b2o55b2o154b3o$47b2o108b2o55b2o605b2o55b2o108b2o$49bo937bo$46bob2o
7b4o915b4o7b2obo$45bob2o7bo3bo107b2o33b2o627b2o33b2o107bo3bo7b2obo$45b
3o12bo107b2o33b2o627b2o33b2o107bo12b3o$17b2o37bo2bo917bo2bo37b2o$16b4o
997b4o$15b2ob2o137b2o55b2o605b2o55b2o137b2ob2o$16b2o139b2o55b2o605b2o
55b2o139b2o$109bo2bo307bobo191bobo307bo2bo$113bo306b2o193b2o306bo$109b
o3bo54b2o33b2o216bo193bo216b2o33b2o54bo3bo$56b2o52b4o54b2o33b2o627b2o
33b2o54b4o52b2o$56b2o921b2o2$214b2o605b2o$45b2o167b2o605b2o167b2o$45b
2o943b2o2$168b2o33b2o627b2o33b2o$56b2o110b2o33b2o627b2o33b2o110b2o$56b
2o921b2o2$214b2o605b2o$45b2o167b2o605b2o167b2o$45b2o943b2o2$bobo164b2o
33b2o627b2o33b2o164bobo$2b2o52b2o110b2o33b2o627b2o33b2o110b2o52b2o$2bo
53b2o921b2o53bo2$214b2o605b2o$45b2o167b2o605b2o167b2o$45b2o943b2o2$
168b2o33b2o627b2o33b2o$56b2o110b2o33b2o627b2o33b2o110b2o$56b2o921b2o2$
214b2o605b2o$45b2o167b2o605b2o167b2o$45b2o943b2o2$168b2o33b2o190bo245b
o190b2o33b2o$56b2o110b2o33b2o188b2o247b2o188b2o33b2o110b2o$56b2o336b2o
245b2o336b2o2$214b2o605b2o$45b2o167b2o605b2o167b2o$45b2o943b2o2$168b2o
33b2o627b2o33b2o$56b2o110b2o33b2o627b2o33b2o110b2o$56b2o921b2o2$214b2o
605b2o$45b2o167b2o605b2o167b2o$45b2o943b2o2$168b2o33b2o627b2o33b2o$56b
2o110b2o33b2o627b2o33b2o110b2o$28bo27b2o921b2o27bo$29b2o975b2o$28b2o
184b2o605b2o184b2o$45b2o167b2o605b2o167b2o$45b2o943b2o2$168b2o33b2o
627b2o33b2o$56b2o110b2o33b2o627b2o33b2o110b2o$56b2o921b2o2$214b2o605b
2o$45b2o167b2o605b2o167b2o$45b2o943b2o2$168b2o33b2o627b2o33b2o$56b2o
110b2o33b2o627b2o33b2o110b2o$56b2o921b2o$367bobo297bobo$214b2o151b2o
299b2o151b2o$45b2o167b2o152bo299bo152b2o167b2o$45b2o943b2o2$168b2o33b
2o627b2o33b2o$56b2o110b2o33b2o627b2o33b2o110b2o$56b2o921b2o2$214b2o
605b2o$214b2o605b2o3$168b2o33b2o627b2o33b2o$56b2o110b2o33b2o627b2o33b
2o110b2o$56b2o921b2o$60bo2bo909bo2bo$60bo2bo150b2o605b2o150bo2bo$64bo
149b2o605b2o149bo$59bo2b3o907b3o2bo$59bobob2o907b2obobo$60b2obo20b2o
82b2o33b2o627b2o33b2o82b2o20bob2o$83b4o81b2o33b2o627b2o33b2o81b4o$83b
2ob2o861b2ob2o$85b2o863b2o$214b2o605b2o$214b2o605b2o$58bo919bo$56b2ob
2o915b2ob2o$58b3o107b2o33b2o627b2o33b2o107b3o$138b2o28b2o33b2o627b2o
33b2o28b2o$136b2ob2o755b2ob2o$70b2o64b4o757b4o64b2o$70b2o65b2o75b2o
605b2o75b2o65b2o$214b2o126bo351bo126b2o$340b2o353b2o$341b2o351b2o$203b
2o627b2o$203b2o627b2o2$70b2o893b2o$70b2o142b2o605b2o142b2o$74bo2bo136b
2o605b2o136bo2bo$74bo2bo881bo2bo$78bo879bo$73bo2b3o124b2o627b2o124b3o
2bo$73bobob2o124b2o627b2o124b2obobo$74b2obo20b2o837b2o20bob2o$97b4o
835b4o$97b2ob2o112b2o605b2o112b2ob2o$99b2o113b2o605b2o113b2o3$72bo130b
2o627b2o130bo$70b2ob2o128b2o627b2o128b2ob2o$72b3o887b3o$152b2o729b2o$
150b2ob2o59b2o605b2o59b2ob2o$84b2o64b4o60b2o605b2o60b4o64b2o$84b2o65b
2o731b2o65b2o5$201b2o631b2o$200bo2bo10b2o605b2o10bo2bo$84b2o114bo2bo
10b2o605b2o10bo2bo114b2o$84b2o114bo2bo629bo2bo114b2o$88bo2bo109b2o631b
2o109bo2bo$88bo2bo222bobo403bobo222bo2bo$92bo221b2o405b2o221bo$87bo2b
3o222bo405bo222b3o2bo$87bobob2o851b2obobo$88b2obo20b2o100b2o605b2o100b
2o20bob2o$111b4o99b2o605b2o99b4o$111b2ob2o805b2ob2o$113b2o807b2o3$86bo
863bo$84b2ob2o859b2ob2o$86b3o125b2o605b2o125b3o$166b2o46b2o605b2o46b2o
$164b2ob2o699b2ob2o$98b2o64b4o701b4o64b2o$98b2o65b2o703b2o65b2o7$98b2o
837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o2$289bo457bo$287b2o459b2o$
288b2o457b2o3$98b2o837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o
837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o5$261bobo509bobo$261b2o511b
2o$98b2o162bo511bo162b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o
837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o136bo563bo136b2o$98b
2o134b2o565b2o134b2o$235b2o563b2o6$98b2o837b2o$98b2o837b2o7$98b2o837b
2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o2$208b
obo615bobo$208b2o617b2o$209bo617bo3$98b2o837b2o$98b2o837b2o7$98b2o837b
2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o4$183b
o669bo$181b2o671b2o$182b2o669b2o$98b2o837b2o$98b2o837b2o7$98b2o837b2o$
98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o
55bobo721bobo55b2o$98b2o55b2o723b2o55b2o$156bo723bo6$98b2o837b2o$98b2o
837b2o7$98b2o837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o837b2o$
98b2o837b2o$130bo775bo$128b2o777b2o$129b2o775b2o4$98b2o837b2o$98b2o
837b2o7$98b2o837b2o$98b2o837b2o7$98b2o837b2o$98b2o837b2o7$98b2o837b2o$
98b2o837b2o4$102bobo827bobo$102b2o829b2o$103bo829bo$98b2o837b2o$98b2o
837b2o!
APPEND#1
The second engine is done:
Code: Select all
x = 132, y = 132, rule = B34w6c/S2-n3-ek4n
34bo$33bo5bo$40bo$33bo2bo3bo$38b3o6$8b2o$7b2ob2o$8b4o$9b2o$33bobo$36bo
$36bo$33bo2bo$34b3o$69bo$68b3o$68b3obo$70bobo$2o68b2obo$obo$o3$70b2o$
48b4o18b3o$20b3o25bo3bo16bob2o$20bo27bo20b3o$21bo27bo2bo17bo3$53bo$31b
2o19b3o$31b2o19b3obo$54bobo$54b2obo4$24b2o$24b2o28b2o$32b4o18b3o$32bo
3bo16bob2o$32bo20b3o$33bo2bo17bo10$108bo$101b2o6b2o$100b4o4bo$99b2ob2o
4b4o$100b2o8b3o$110b2o11$92bo$85b2o6b2o$84b4o4bo$83b2ob2o4b4o$84b2o8b
3o$94b2o3bobo$102bo$102bo$99bo2bo$100b3o8$127b3o$127bo2bo$127bo2$83bob
o27b4o11bo$86bo26bo3bo$86bo26bo17bo$83bo2bo27bo2bo10bobo$84b3o7b2o$94b
2o6$87b2o$87b2o2$101bo$99bobo$100b2o9$119b2o$118b3o$118b2obo$119b3o$
120bo5$107bo$108bo$106b3o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 16th, 2025, 10:02 am
by b-engine
c/19 pi spaceship that "pulls" a blinker:
Code: Select all
x = 3, y = 3, rule = B3-n4ew5k7e/S2-n3-c4iq6c
3o$obo$obo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 16th, 2025, 12:49 pm
by splitterrules
3 engines:
Code: Select all
x = 78, y = 88, rule = B34w6c/S2-n3-ek4n
12b4o$12b4o$14bobo$13b3o2$12bo$13b2o14$23bo$22b2o$22bobo11$6bo$5b3o$4b
2obo$4b3o$5b2o4$29b2o$28b2o$30bo4$2bo$b2o$2o$b2o7$22b2o5bo2bo$21bo2bo
8bo$21bo7bo3bo$23b2obo3b4o22bo$26bo30bo$24bo30b3o$25bo4$77bo$75bobo$76b
2o$43bo$42b3o$41b2obo$41b3o$42b2o2$67bo2bo$71bo$67bo3bo$68b4o5$39bo$38b
2o$37b2o$38b2o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 16th, 2025, 6:45 pm
by silversmith
A small splitter for a small c/4 spaceship, based on a suggestion by speedydelete on discord.
Code: Select all
x = 10, y = 10, rule = B2-ak3y4inz5jq/S12-k3aei4jnrz5a
2bo$2o5$6b2o$6bo2$7b3o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 16th, 2025, 11:03 pm
by Yoel
P228 and P260 statorless oscillators endemic to this rule:
Code: Select all
x = 151, y = 63, rule = B2i34-ai5-nr/S23
15$117b3o$21b2o88b3o4bobo$21b2o3b3o83bo5b3o$26bobo3bo$25bo2bo3bo$24bob
2o4bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: November 17th, 2025, 12:07 am
by yyh_baboon
thing:
Code: Select all
x = 4, y = 3, rule = B3-n5c6c7e8/S2-n3-c4i6c7c
3o$o2bo$ob2o!
[[ THEME INVERSE ]]
EDIT: another thing(a cursed rake):
Code: Select all
x = 4, y = 3, rule = B3-n5y6n7e/S2-n3-k4i5c8
3o$o2bo$ob2o!