Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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hibiscus
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hibiscus »

Neocaridina created a thread for the rule B2-ac3/S1c23-a6n and named the rule Kennel earlier today. Shortly afterwards, the thread was deleted.
Small ship collection before I go to bed (c/2o, c/5o, c/6o):

Code: Select all

x = 37, y = 24, rule = B2-ac3/S1c23-a6n
3o9bobo12bo5bo$obo7b2obob2o11b2ob2o$9b3obob3o8b2obobob2o$27bobobobo$
11bo3bo10bo2bobo2bo$12b3o10bobobobobobo$25bo3bobo3bo$26b3o3b3o$27bobob
obo$30bo4$27bobobobo$30bo$25bo9bo$24b2o9b2o$28b2ob2o$27bo5bo2$24bobo7b
obo$25b2o7b2o$24b2o9b2o$24b3o7b3o!
Edit: found an asymmetric c/4o:

Code: Select all

x = 51, y = 24, rule = B2-ac3/S1c23-a6n
3o9bobo11bobo12bo5bo$obo9b2ob2o7b2obob2o11b2ob2o$10b2o3bo7b3obob3o8b2o
bobob2o$9bob2o28bobobobo$9b4o12bo3bo10bo2bobo2bo$9bob2obo11b3o10bobobo
bobobo$15bo23bo3bobo3bo$40b3o3b3o$41bobobobo$44bo4$41bobobobo$44bo$39b
o9bo$38b2o9b2o$42b2ob2o$41bo5bo2$38bobo7bobo$39b2o7b2o$38b2o9b2o$38b3o
7b3o!
Edit 2: Added c/4d and c/5d ships:

Code: Select all

x = 89, y = 25, rule = B2-ac3/S1c23-a6n
82bo$3o9bobo11bobo12bo5bo14b3o12b2o3b2o$obo9b2ob2o7b2obob2o11b2ob2o12b
obo2bo17b4o$10b2o3bo7b3obob3o8b2obobob2o31bo2bo2bo$9bob2o28bobobobo29b
3o2b2o2bo$9b4o12bo3bo10bo2bobo2bo9bob4o15b9o$9bob2obo11b3o10bobobobob
obo25bo3bobob2ob3o$15bo23bo3bobo3bo25b4o3b2o$40b3o3b3o26b5o3bobo$41bo
bobobo29b2obob3o$44bo33b4o2bo2bo$79b3o2bo2bo$80b2o$80b3o$41bobobobo$44b
o$39bo9bo$38b2o9b2o$42b2ob2o$41bo5bo2$38bobo7bobo$39b2o7b2o$38b2o9b2o
$38b3o7b3o!

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by I6_I6 »

hibiscus wrote: January 28th, 2026, 2:54 pm Neocaridina created a thread for the rule B2-ac3/S1c23-a6n and named the rule Kennel earlier today. Shortly afterwards, the thread was deleted.
Small ship collection before I go to bed (c/2o, c/5o, c/6o):
...
Seems like they restarted the thread and deleted it again.
Some oscillators (p2, p4, p20, p24, p26):

Code: Select all

x = 16, y = 46, rule = B2-ac3/S1c23-a6n
3o3$6bo$2bo5bo3bo2bo$bo3bo6bobo$o6bo3bo2bo5$2b3o$2bo2bo$2bo2bo$3b3o7$
7bo2$5bo3bo2$7bo2$7bo2$5bo3bo2$7bo5$3bo2bo3$o4bo3bo$6bo$3bo$o3bo4bo3$
3bo2bo!
Most were found by randomly smashing tubs together hoping to find an oscillator.

7c/14o:

Code: Select all

x = 11, y = 9, rule = B2-ac3/S1c23-a6n
2b3ob3o$2bobobobo$b2obobob2o$4bobo$4bobo$3bo3bo$4bobo$o2bo3bo2bo$3bo3b
o!
Sparky 3c/31d:

Code: Select all

x = 11, y = 11, rule = B2-ac3/S1c23-a6n
3bo2$5bo$2bo2b2o$o6bo$o4bob2o2$bo8bo$7bo$o2bo$bo3b2o!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Rhombic
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Rhombic »

c/3 diagonal, 2c/12 and two c/5, as well as examples of typical p16 and p14 oscillators (see Catagolue for some other natural/D4_+2 xp10, xp14 and xp28). Unfortunately, the rule is too "tame" and it's hard to make its behaviour more interesting while preserving these, but the underlying mechnism in the oscillators could potentially allow many even-valued periods.

Code: Select all

x = 81, y = 30, rule = B2n3-cen4-aknry5ceiqy6cek7c8/S2-ek3-ceir4-acnr5aciky6-an7e8
64b3o2$65bo12b3o$63bobobo10b3o$63b5o10b3o$64b3o11b3o$65bo12b3o$64b3o
12bo$65bo13bo$65bo13bo$14bobo25bo2bo19bo13bo$b2o12bo26bo2bo19bo12b3o$
2o13bo26bo2bo19bo13bo$o3bo10bo11b6o9bo2bo19bo12b3o$3bo10b3o9b2ob2ob2o
8b4o19bo12b3o$2bo12bo11bo4bo9bo2bo19bo12b3o$15bo10bob4obo8bo2bo19bo12b
3o$14b3o24b2o2b2o18bo13bo$65bo12b3o$65bo13bo$65bo13bo$65bo13bo$64b3o
12bo$65bo12b3o$64b3o11b3o$63b5o10b3o$63bobobo10b3o$65bo12b3o2$64b3o!
Also, an endemic (3,5)c/171 knightship in an unrelated rule:

Code: Select all

x = 14, y = 7, rule = B3-c67/S2-i3-c4qtw
3bob3obobo$2bo3bo4bo$3bo2bo5b2o$b3o2bo$3o2bo4b2o$o2b2obo$b5o!
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yyh_baboon
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yyh_baboon »

4c/97d spaceship that contains a phase of a glider-and+block collision:

Code: Select all

 x = 5, y = 6, rule = B2n3-r6n8/S2-in34ci7
3bo$3b2o$3bo$2o$o$bo!
[[ THEME INVERSE ]]
Do anyone have a P38 edge block factory?
Currently hand-searching spaceships.
Have a look at my spaceship hub viewtopic.php?f=12&t=7084 if you’re interested ÔvÔ

Code: Select all

  x = 4, y = 3, rule = B3-cnqy4ej7c/S2-ci3-ak4ceinrz5acek6c
3o$o2bo$ob2o!
Bullet51
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Bullet51 »

C̴o̴n̴j̴e̴c̴t̴u̴r̴e̴:̴ ̴ ̴A̴n̴ ̴i̴n̴f̴i̴n̴i̴t̴e̴ ̴s̴t̴i̴l̴l̴ ̴l̴i̴f̴e̴ ̴i̴n̴ ̴B̴2̴3̴/̴S̴1̴4̴V̴ ̴h̴a̴s̴ ̴a̴t̴ ̴m̴o̴s̴t̴ ̴1̴ ̴S̴4̴ ̴c̴e̴l̴l̴.̴

Stronger conjecture: There are only 4 infinite still lifes in B23/S14V with at least 1 S4 cell.
Last edited by Bullet51 on March 10th, 2026, 11:21 pm, edited 3 times in total.
Still drifting.
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ThePlayzr
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by ThePlayzr »

This rule has an almost endemic puffer!

Code: Select all

x = 5, y = 3, rule = B3-k/S236i
bo$obo$obo$obo!
[[ ZOOM 8 ]] 
It is 20c/83! Can someone corderize it?
Some spaceships from qfind & LifeWiki:

Code: Select all

x = 108, y = 59, rule = B3-k/S236i
3o3b3o10b2obo8bo24bo2bo12bo9bo8b2o11b2o$o5bo2bo6b2obob2ob3o4bo8bo13b2o
b2ob2o10b3o5b3o8bobob2o3b2obobo$bo4bo6b4o2b2o6bo2bobo5bo3bo12b6o13bo5b
o12bo3bobo3bo$6bo5bo4bo3bo3b2o11bo3b2o10b2ob2ob2o10bo9bo8b3obobobobob
3o$7bobo3b2o20bob2o5b2o23b3obobo3bobob3o6bo4bobo4bo$31b6o2bo6bo5bo2bo
4bo2bo5bo2b2obo3bob2o2bo5bo2b2obobob2o2bo$32b2o6bo3b3o4b3o8b3o5b3obo5b
ob3o7bo2bobobobo2bo$40bo3bob2o3b2obo6bob2o7bo9bo9b2o3bobo3b2o$43bo8b2o
8b2o6bo3b2o3b2o3bo6b2o11b2o$48bo4b2o6b2o7bobob2o3b2obobo$47bo6bo6bo8b
o3bo5bo3bo$47bo21b2o2b3o3b3o2b2o7b2o7b2o$54b2o4b2o8b2ob2o5b2ob2o7b4o5b
4o$90b2o13b2o$72bo9bo7b2o2bo7bo2b2o$70b4o7b4o6bo13bo$70bob2o7b2obo5bo
2b2o7b2o2bo$69bo2b2o7b2o2bo5b2o3bo3bo3b2o$70bo13bo6bo2bob2ob2obo2bo$71b
ob3o3b3obo8bo3bo3bo3bo$70b2ob3o3b3ob2o7bo11bo$69bo3bo7bo3bo9bo5bo$69b
o2b3o5b3o2bo8b2o5b2o$68bo3b2o7b2o3bo7bo2bobo2bo$71b2o9b2o8b3o2bobo2b3o
$70bo2bo7bo2bo6bo3b2o3b2o3bo$91bo2bo7bo2bo$74bo5bo14bo5bo$72bob2o3b2o
bo7b2o2b3o3b3o2b2o$73bo2bobo2bo11bo9bo$76bobo14bo3bobo3bo$75bo3bo12b2o
bobobobob2o$69b2ob2o7b2ob2o5bob3o5b3obo$68bobob2o7b2obobo3bo2bo9bo2bo
$68bo2bobo7bobo2bo7bo7bo$69bo15bo5bo3bo5bo3bo$73bo7bo10bo3bo3bo3bo2$95b
obobobo$92b3o2bobo2b3o$92bo4bobo4bo$91b2o4bobo4b2o$96bo3bo$89bo2b2o9b
2o2bo$90b3o11b3o2$90b2o13b2o$91b2o11b2o$89b2o15b2o$91bo13bo$89b2o15b2o
$89b3o13b3o$91bobo9bobo$91b2o11b2o$90bo3bo7bo3bo$91bo2bob2ob2obo2bo$90b
ob3ob2ob2ob3obo$93b3o5b3o$93bo9bo!
EDIT: 20c/83, not 29c/113.
Last edited by ThePlayzr on February 4th, 2026, 12:58 am, edited 1 time in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by B468S02357 »

Natural wickstretcher corderoid in a bipolar rule

Code: Select all

x = 10, y = 11, rule = B4/S4|B1/S2
3b2obob2o$3bo5bo$3b2obob2o$b3o$obobo$2ob2o$obobo$b3o$3b2obob2o$3bo5bo
$3b2obob2o!
BONUS: Asymmetrical shrinking one

Code: Select all

x = 10, y = 41, rule = B4/S4|B1/S2
3o$obo4b3o$7bobo$obo$7bobo$obo$7bobo$obo$7bobo$obo$7bobo$obo$7bobo$ob
o$7bobo$obo$7bobo$obo$7bobo$obo$7bobo$obo$7bobo$obo$7bobo$obo$7bobo$o
bo$7bobo$obo$7bobo$obo$7bobo$obo$7bobo$obo$6obobo$2bobob4o$2b2ob2o$2b
obobo$3b3o!
I was born on march 23 (3/23). I was destined to be here, and here i am.

Code: Select all

#C [[ ZOOM 4 THEME MONO GPS 30 WIDTH 937 HEIGHT 600 RANDOMIZE ]]
x = 64, y = 64, rule = R5,C28,S12-19,25-33,55,113-120,B12,29-43,Nm
b!
I'm a big fan of engineered spaceships.
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yyh_baboon
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yyh_baboon »

the B is a P316 looping gun in the rule:

Code: Select all

 x = 4, y = 3, rule = B2n3-r5c/S2-i3-c4i5k6i7c8
3o$o2bo$ob2o!
[[ THEME INVERSE ]]
Do anyone have a P38 edge block factory?
Currently hand-searching spaceships.
Have a look at my spaceship hub viewtopic.php?f=12&t=7084 if you’re interested ÔvÔ

Code: Select all

  x = 4, y = 3, rule = B3-cnqy4ej7c/S2-ci3-ak4ceinrz5acek6c
3o$o2bo$ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi »

ThePlayzr wrote: February 2nd, 2026, 7:42 am This rule has an almost endemic puffer!

Code: Select all

x = 5, y = 3, rule = B3-k/S236i
bo$obo$obo$obo!
[[ ZOOM 8 ]] 
It is 29c/113! Can someone corderize it?
...
Done:

Code: Select all

x = 88, y = 599, rule = B3-k/S236i
b2o$b2o$2bo22b2o18b2o18b2o$3o22b2o18b2o18b2o$5o2$2bo2bo$3bobo$bo3bo73b
3o$b4o73bo2bo$3b2o73bo3bo$77bo$78b2o3b2o$18b3o59bo5bo$17bo2bo60bo4bo$
17bo3bo58bo5bo$16bo61b2o3b2o$17b2o3b2o53bo$19bo5bo52bo3bo$20bo4bo52bo
2bo$19bo5bo53b3o$17b2o3b2o$16bo$17bo3bo$17bo2bo$18b3o3$3b2o$b4o$bo3bo$
3bobo$2bo2bo2$5o$3o22b2o$2bo22b2o54b3o$b2o77bo2bo$b2o77bo$84bo$76b5o3b
o$39b3o34b3obo3bo$38bo2bo34bo3bob4o$38bo3bo35b2o4b2obo$37bo45b2ob2o$
38b2o3b2o33b2o4b2obo$40bo5bo29bo3bob4o$41bo4bo29b3obo3bo$40bo5bo29b5o
3bo$38b2o3b2o39bo$37bo42bo$38bo3bo37bo2bo$38bo2bo39b3o$39b3o3$b2o$b2o$
2bo22b2o$3o22b2o$5o2$2bo2bo$3bobo$bo3bo$b4o$3b2o2$79b3o$18b3o57bo2bo$
17bo2bo57bo3bo$17bo3bo55bo$16bo61b2o3b2o$17b2o3b2o56bo5bo$19bo5bo55bo
4bo$20bo4bo54bo5bo$19bo5bo52b2o3b2o$17b2o3b2o53bo$16bo61bo3bo$17bo3bo
56bo2bo$17bo2bo58b3o$18b3o3$3b2o$b4o$bo3bo$3bobo$2bo2bo2$5o$3o22b2o$2b
o22b2o$b2o$b2o2$81b3o$39b3o38bo2bo$38bo2bo38bo$38bo3bo41bo$37bo38b5o3b
o$38b2o3b2o31b3obo3bo$40bo5bo29bo3bob4o$41bo4bo31b2o4b2obo$40bo5bo36b
2ob2o$38b2o3b2o33b2o4b2obo$37bo38bo3bob4o$38bo3bo33b3obo3bo$38bo2bo34b
5o3bo$39b3o42bo$80bo$80bo2bo$b2o78b3o$b2o$2bo22b2o$3o22b2o$5o2$2bo2bo$
3bobo$bo3bo$b4o$3b2o3$18b3o$17bo2bo$17bo3bo$16bo62b3o$17b2o3b2o54bo2bo
$19bo5bo52bo3bo$20bo4bo51bo$19bo5bo52b2o3b2o$17b2o3b2o56bo5bo$16bo64bo
4bo$17bo3bo58bo5bo$17bo2bo57b2o3b2o$18b3o56bo$78bo3bo$78bo2bo$3b2o74b
3o$b4o$bo3bo$3bobo$2bo2bo2$5o$3o22b2o$2bo22b2o$b2o$b2o3$39b3o$38bo2bo$
38bo3bo$37bo43b3o$38b2o3b2o35bo2bo$40bo5bo33bo$41bo4bo37bo$40bo5bo29b
5o3bo$38b2o3b2o31b3obo3bo$37bo38bo3bob4o$38bo3bo35b2o4b2obo$38bo2bo41b
2ob2o$39b3o36b2o4b2obo$76bo3bob4o$76b3obo3bo$b2o73b5o3bo$b2o81bo$2bo
22b2o53bo$3o22b2o53bo2bo$5o76b3o2$2bo2bo$3bobo$bo3bo$b4o$3b2o3$18b3o$
17bo2bo$17bo3bo$16bo$17b2o3b2o$19bo5bo$20bo4bo$19bo5bo53b3o$17b2o3b2o
54bo2bo$16bo61bo3bo$17bo3bo55bo$17bo2bo57b2o3b2o$18b3o59bo5bo$81bo4bo$
80bo5bo$3b2o73b2o3b2o$b4o72bo$bo3bo72bo3bo$3bobo72bo2bo$2bo2bo73b3o2$
5o$3o22b2o$2bo22b2o$b2o$b2o3$39b3o$38bo2bo$38bo3bo$37bo$38b2o3b2o$40bo
5bo$41bo4bo$40bo5bo34b3o$38b2o3b2o35bo2bo$37bo42bo$38bo3bo41bo$38bo2bo
34b5o3bo$39b3o34b3obo3bo$76bo3bob4o$78b2o4b2obo$b2o80b2ob2o$b2o75b2o4b
2obo$2bo22b2o49bo3bob4o$3o22b2o49b3obo3bo$5o71b5o3bo$84bo$2bo2bo74bo$
3bobo74bo2bo$bo3bo75b3o$b4o$3b2o3$18b3o$17bo2bo$17bo3bo$16bo$17b2o3b2o
$19bo5bo$20bo4bo$19bo5bo$17b2o3b2o$16bo$17bo3bo$17bo2bo58b3o$18b3o57bo
2bo$78bo3bo$77bo$3b2o73b2o3b2o$b4o75bo5bo$bo3bo75bo4bo$3bobo74bo5bo$2b
o2bo72b2o3b2o$77bo$5o73bo3bo$3o22b2o51bo2bo$2bo22b2o52b3o$b2o$b2o3$39b
3o$38bo2bo$38bo3bo$37bo$38b2o3b2o$40bo5bo$41bo4bo$40bo5bo$38b2o3b2o$
37bo$38bo3bo$38bo2bo39b3o$39b3o38bo2bo$80bo$84bo$b2o73b5o3bo$b2o73b3ob
o3bo$2bo22b2o49bo3bob4o$3o22b2o51b2o4b2obo$5o78b2ob2o$78b2o4b2obo$2bo
2bo70bo3bob4o$3bobo70b3obo3bo$bo3bo70b5o3bo$b4o79bo$3b2o75bo$80bo2bo$
81b3o$18b3o$17bo2bo$17bo3bo$16bo$17b2o3b2o$19bo5bo$20bo4bo$19bo5bo$17b
2o3b2o$16bo$17bo3bo$17bo2bo$18b3o3$3b2o74b3o$b4o73bo2bo$bo3bo72bo3bo$
3bobo71bo$2bo2bo72b2o3b2o$80bo5bo$5o76bo4bo$3o22b2o53bo5bo$2bo22b2o51b
2o3b2o$b2o74bo$b2o75bo3bo$78bo2bo$79b3o$39b3o$38bo2bo$38bo3bo$37bo$38b
2o3b2o$40bo5bo$41bo4bo$40bo5bo$38b2o3b2o$37bo$38bo3bo$38bo2bo$39b3o3$b
2o78b3o$b2o77bo2bo$2bo22b2o53bo$3o22b2o57bo$5o71b5o3bo$76b3obo3bo$2bo
2bo70bo3bob4o$3bobo72b2o4b2obo$bo3bo77b2ob2o$b4o73b2o4b2obo$3b2o71bo3b
ob4o$76b3obo3bo$76b5o3bo$18b3o63bo$17bo2bo59bo$17bo3bo58bo2bo$16bo64b
3o$17b2o3b2o$19bo5bo$20bo4bo$19bo5bo$17b2o3b2o$16bo$17bo3bo$17bo2bo$
18b3o3$3b2o$b4o$bo3bo$3bobo$2bo2bo73b3o$78bo2bo$5o73bo3bo$3o22b2o50bo$
2bo22b2o51b2o3b2o$b2o77bo5bo$b2o78bo4bo$80bo5bo$78b2o3b2o$39b3o35bo$
38bo2bo36bo3bo$38bo3bo35bo2bo$37bo41b3o$38b2o3b2o$40bo5bo$41bo4bo$40bo
5bo$38b2o3b2o$37bo$38bo3bo$38bo2bo$39b3o3$b2o$b2o$2bo22b2o$3o22b2o$5o
76b3o$80bo2bo$2bo2bo74bo$3bobo78bo$bo3bo70b5o3bo$b4o71b3obo3bo$3b2o71b
o3bob4o$78b2o4b2obo$83b2ob2o$18b3o57b2o4b2obo$17bo2bo55bo3bob4o$17bo3b
o54b3obo3bo$16bo59b5o3bo$17b2o3b2o60bo$19bo5bo54bo$20bo4bo54bo2bo$19bo
5bo55b3o$17b2o3b2o$16bo$17bo3bo$17bo2bo$18b3o3$3b2o$b4o$bo3bo$3bobo$2b
o2bo2$5o$3o22b2o$2bo22b2o52b3o$b2o75bo2bo$b2o75bo3bo$77bo$78b2o3b2o$
39b3o38bo5bo$38bo2bo39bo4bo$38bo3bo37bo5bo$37bo40b2o3b2o$38b2o3b2o32bo
$40bo5bo31bo3bo$41bo4bo31bo2bo$40bo5bo32b3o$38b2o3b2o$37bo$38bo3bo$38b
o2bo$39b3o3$b2o$b2o$2bo22b2o$3o22b2o$5o2$2bo2bo$3bobo$bo3bo75b3o$b4o
75bo2bo$3b2o75bo$84bo$76b5o3bo$18b3o55b3obo3bo$17bo2bo55bo3bob4o$17bo
3bo56b2o4b2obo$16bo66b2ob2o$17b2o3b2o54b2o4b2obo$19bo5bo50bo3bob4o$20b
o4bo50b3obo3bo$19bo5bo50b5o3bo$17b2o3b2o60bo$16bo63bo$17bo3bo58bo2bo$
17bo2bo60b3o$18b3o3$3b2o$b4o$bo3bo$3bobo$2bo2bo2$5o$3o22b2o$2bo22b2o$b
2o$b2o2$79b3o$39b3o36bo2bo$38bo2bo36bo3bo$38bo3bo34bo$37bo40b2o3b2o$
38b2o3b2o35bo5bo$40bo5bo34bo4bo$41bo4bo33bo5bo$40bo5bo31b2o3b2o$38b2o
3b2o32bo$37bo40bo3bo$38bo3bo35bo2bo$38bo2bo37b3o$39b3o3$b2o$b2o$2bo22b
2o$3o22b2o$5o2$2bo2bo$3bobo$bo3bo$b4o$3b2o2$81b3o$18b3o59bo2bo$17bo2bo
59bo$17bo3bo62bo$16bo59b5o3bo$17b2o3b2o52b3obo3bo$19bo5bo50bo3bob4o$
20bo4bo52b2o4b2obo$19bo5bo57b2ob2o$17b2o3b2o54b2o4b2obo$16bo59bo3bob4o
$17bo3bo54b3obo3bo$17bo2bo55b5o3bo$18b3o63bo$80bo$80bo2bo$3b2o76b3o$b
4o$bo3bo$3bobo$2bo2bo2$5o$3o22b2o$2bo22b2o$b2o$b2o3$39b3o$38bo2bo$38bo
3bo$37bo41b3o$38b2o3b2o33bo2bo$40bo5bo31bo3bo$41bo4bo30bo$40bo5bo31b2o
3b2o$38b2o3b2o35bo5bo$37bo43bo4bo$38bo3bo37bo5bo$38bo2bo36b2o3b2o$39b
3o35bo$78bo3bo$78bo2bo$b2o76b3o$b2o$2bo22b2o$3o22b2o$5o2$2bo2bo$3bobo$
bo3bo$b4o$3b2o3$18b3o$17bo2bo$17bo3bo$16bo64b3o$17b2o3b2o56bo2bo$19bo
5bo54bo$20bo4bo58bo$19bo5bo50b5o3bo$17b2o3b2o52b3obo3bo$16bo59bo3bob4o
$17bo3bo56b2o4b2obo$17bo2bo62b2ob2o$18b3o57b2o4b2obo$76bo3bob4o$76b3ob
o3bo$3b2o71b5o3bo$b4o79bo$bo3bo74bo$3bobo74bo2bo$2bo2bo75b3o2$5o$3o22b
2o18b2o18b2o$2bo22b2o18b2o18b2o$b2o$b2o!
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B468S02357
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by B468S02357 »

The underweight spaceship is stable in this bipolar rule:

Code: Select all

x = 4, y = 4, rule = B3/S12i3-a|B3-r4z/S2-i34cqz8
b2o$ob2o$b2o$bo!
I was born on march 23 (3/23). I was destined to be here, and here i am.

Code: Select all

#C [[ ZOOM 4 THEME MONO GPS 30 WIDTH 937 HEIGHT 600 RANDOMIZE ]]
x = 64, y = 64, rule = R5,C28,S12-19,25-33,55,113-120,B12,29-43,Nm
b!
I'm a big fan of engineered spaceships.
splitterrules
Posts: 84
Joined: April 11th, 2025, 6:11 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by splitterrules »

Unusual sqrt growth:

Code: Select all

x = 28, y = 54, rule = B2n3-nqr4c5cy6i8/S2-i3-ay4itz5ikr6in7
18bo$17bo2bo$20bo$18b3o2$25bo$14bo9b3o$14bo7b2o2b2o$14bo2b2o2b6o$18b2o
bo2bo$15b2obo3b3o$15bobo5bo$16bo24$b2o$2bo$2b2o2$4o2b2o$ob2o2bob2o$bo
4bo3bo$6bobob2o$2bo3bob3o$3bo5bo6$10b2o$10bo$9b2o!
p208+142n oscillators in the same rule:

Code: Select all

x = 167, y = 299, rule = B2n3-nqr4c5cy6i8/S2-i3-ay4itz5ikr6in7
2b3o$2bobo$bo2bo$b2o2$bobo$2bo$bo2$4b3o$3bo2bo$b2o2b2o$bo2bo$2b3o37$b
3o$bobo$o2bo$2o2$obo$bo$o2$3b3o$2bo2bo$2o2b2o$o2bo$b3o2$24b2o$24bo$23b
2o41$b3o$bobo$o2bo$2o2$obo$bo$o2$3b3o$2bo2bo$2o2b2o$o2bo$b3o2$24b2o33b
2o$24bo34bo$23b2o33b2o48$b3o$bobo$o2bo$2o2$obo$bo$o2$3b3o$2bo2bo$2o2b
2o$o2bo$b3o2$24b2o33b2o33b2o$24bo34bo34bo$23b2o33b2o33b2o35$b3o$bobo$o
2bo$2o2$obo$bo$o2$3b3o$2bo2bo$2o2b2o$o2bo$b3o2$24b2o33b2o33b2o33b2o$
24bo34bo34bo34bo$23b2o33b2o33b2o33b2o39$2b3o$2bobo$bo2bo$b2o2$bobo$2bo
$bo2$4b3o$3bo2bo$b2o2b2o$bo2bo$2b3o2$25b2o33b2o33b2o33b2o33b2o$25bo34b
o34bo34bo34bo$24b2o33b2o33b2o33b2o33b2o!
p208+142n period guns:

Code: Select all

x = 28, y = 169, rule = B2n3-nqr4c5cy6i8/S2-i3-ay4itz5ikr6in7
2b3o5b2o$bo3bo$bo11bobo$2o6bobo3bobo$bo6b3o2bo3bo7bo$bobo5bobobo2b2o7b
3o$2bobo7bo2b2o10bo$5b2o5b3o19$6bo$6b3o$8bo33$6bo$6b3o$8bo33$6bo$6b3o$
8bo33$6bo$6b3o$8bo33$6bo$6b3o$8bo!
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hotcrystal0
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 »

Oscillators and some infinite growth thing:

Code: Select all

x = 34, y = 72, rule = B2c3a45/S01e2
17bo$14bobobo$17bobo$14bobobo$17bo40$4bo$3bobo$2bobobo3b4o$3bobo4bo2b
o$4bo3$17bo11bo$18bo$4b2o11bo12bo$2o6b2o15b3o2b2o$4b2o10b2o12bobo$19b
o9bobo$19bo7bob2o2bo5$5bo$5bo2$3bo9bo$2b3o6b2obo$13bo3bo$17bo3$4b2o!
wherever I go on the internet I bring with myself nothing but problems.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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yyh_baboon
Posts: 379
Joined: March 28th, 2025, 5:07 am
Location: on a spaceship

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yyh_baboon »

Fractal generator:

Code: Select all

 x = 3, y = 3, rule = B3-cnqy4j7c/S2-ci3-aky4ceinrtz5r6c
3o$obo$2bo!
Do anyone have a P38 edge block factory?
Currently hand-searching spaceships.
Have a look at my spaceship hub viewtopic.php?f=12&t=7084 if you’re interested ÔvÔ

Code: Select all

  x = 4, y = 3, rule = B3-cnqy4ej7c/S2-ci3-ak4ceinrz5acek6c
3o$o2bo$ob2o!
Naszvadi
Posts: 1455
Joined: May 7th, 2016, 8:53 am
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi »

yyh_baboon wrote: February 11th, 2026, 7:07 am Fractal generator:

Code: Select all

 x = 3, y = 3, rule = B3-cnqy4j7c/S2-ci3-aky4ceinrtz5r6c
3o$obo$2bo!
Corderized, 25c/148 diagonal:

Code: Select all

#C [[ TRACK 25/148 -25/148 ]]
x = 86, y = 86, rule = B3-cnqy4j7c/S2-ci3-aky4ceinrtz5r6c
32b3o$31bo2bo$34bo2$30bobo$30bobo$30bobobo$31b3o$31b3o2$3b4o$bo5bo$o2b
2o2bo3bo$o4b3o$2obo$2b2o$10b3o$10bobo$10bobo13$3b3o$3bo2bo$2bo3bo$b2ob
obo$4bo19b2o8bo$5b3o14b2obo6b5o$7b2o13bo5b2o7bo$4bo2bo14bo2b2ob2o7bo$
4bo2bo15b2o10b3o$4b3o19b2o3bo2$29bo6$46b3o$46bo2bo$46bo2bo$49b2o28bo3b
3o$49bo27b2o6bo$49bo27b5o3bo$45bo31b2o5bo$79b3o$43bo3b2o$47b2o$45bo$
45bobo$47bob2o$46bo3bo$46bo2bo$47b3o10$67b3o$69bo3bo$67b3o2$48bo$46b4o
22b3o$45bo3bob3o18bo2bo$45bo3bo4bo17bo2bo$45b3o2b2o2bo18bobo$53b2o15b
2obobo$51b2o17bo$51bo19bo2bo$71b3o!
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R2INT
Posts: 775
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by R2INT »

Here is an omniperiodic B2a rule using a stable reflector with repeat time 5:

Code: Select all

x = 101, y = 35, rule = B2a3qry4jz5j/S1c2ce3c4cny
17bo$bo12bobobo$obo12bobo$bobo12bo$2bo$bo8$77bobobobobobobobo$18bo16b
obobobo33bobobobobobobobobo$8bo8bo15bobobobobo32bobo23bo$3bo4bobo5bob
o13bobo11bo26bobobo21bo$2bobo12bobo11bobobo9bo28bo25bo$bobobo12bo13bo
13bo$2bo3$37bo$3bo5bobo5bobobo6bo5bobobo$2bo7b2o6bo8bobo5b3o$3bo5bo2b
o15b3obo3bo$3bo25bo2bo$4bo6bobo6b2o6bo6b2o$3bo8bo5bo$19bo10b2o6bo$34b
o2bo$30bo3bob3o$29b3o5bobo$28bobobo5bo$29bo!
Range-2 INT
R2INT's Rule Collection

Currently missing OCA catalyst search software and OCA conduit search software (the one I have is hardcoded to B3/S23-a5)
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ThePlayzr
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by ThePlayzr »

This rule has an extremely sparky p62 and a tiny c/6o:

Code: Select all

x = 20, y = 8, rule = B3-cn5jy67c/S23-j4cry5acjkr6-ci7
bo8bo7bo$obo6bo9bo$obo7b3o3b3o$bo9bo5bo3$13b3o$14bo!
Unfortunately, they are in an uninteresting rule, with no common spaceships or oscillators other than these, and the c/6o isn't even common.
Here is the minrule for the pair:

Code: Select all

x = 20, y = 8, rule = B3-cn5jy6in/S23-jk4r5cj7e
bo8bo7bo$obo6bo9bo$obo7b3o3b3o$bo9bo5bo3$13b3o$14bo!
This rule has the B-hep as a 2c/4o and a p6 (shown below), but is still uninteresting due to being stable.

Code: Select all

x = 15, y = 6, rule = B3-cn5jy6in/S23-jk4r5cj7e
3b2o$3b2o7bo$3b2o6b3o$2o8b2o2bo$2o$2o!
Can someone find an interesting rule in this rulespace containing 2^16 rules?
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
User:ThePlayzr
Finally got LLS! Time to do way too much searching!
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yyh_baboon
Posts: 379
Joined: March 28th, 2025, 5:07 am
Location: on a spaceship

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yyh_baboon »

Strange gun:

Code: Select all

 x = 3, y = 3, rule = B3-cnqy4j5ce6n/S2-ci3-aky4ceinrtz5k6cn
3o$obo$2bo!
Do anyone have a P38 edge block factory?
Currently hand-searching spaceships.
Have a look at my spaceship hub viewtopic.php?f=12&t=7084 if you’re interested ÔvÔ

Code: Select all

  x = 4, y = 3, rule = B3-cnqy4ej7c/S2-ci3-ak4ceinrz5acek6c
3o$o2bo$ob2o!
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B468S02357
Posts: 362
Joined: December 30th, 2025, 9:23 pm
Location: Partying with satan in hell (he brought some takis so i love him)

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by B468S02357 »

Buffer in a rule i'm making

Code: Select all

x = 12, y = 11, rule = 023/2n34/6
4.A$3.ADA$2.EA.A$4.2A.C3A$.E2.2A2D.2BA$2A2.DAC2.DBA$A2E.B2EB2D2A$.2EA
.3C2A$.DB5C2A$2.A2C2B$3.B!
second

Code: Select all

x = 5, y = 5, rule = 023/2n34/6
3A$ADBA$.2ABA$2.ADA$3.2A!
I was born on march 23 (3/23). I was destined to be here, and here i am.

Code: Select all

#C [[ ZOOM 4 THEME MONO GPS 30 WIDTH 937 HEIGHT 600 RANDOMIZE ]]
x = 64, y = 64, rule = R5,C28,S12-19,25-33,55,113-120,B12,29-43,Nm
b!
I'm a big fan of engineered spaceships.
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qqd
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Joined: September 10th, 2022, 4:24 pm
Location: In a superposition of multiple different locations.

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by qqd »

13-cell methuselah in DryLife which does not explode, lasting 2690 generations:

Code: Select all

x = 4, y = 12, rule = B37/S23
2bo$obo$obo$o5$b3o$o$obo$bo!
Currently writing a utility in Lua that may be helpful for faster manual pattern manipulation.
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B468S02357
Posts: 362
Joined: December 30th, 2025, 9:23 pm
Location: Partying with satan in hell (he brought some takis so i love him)

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by B468S02357 »

This natural camel which i can't seem to replicate

Code: Select all

x = 6, y = 6, rule = B2n35a/S2-i3-a4cqz
3bo$bo3bo$bo3bo$o4bo$b3o$b3o!
Bonus: Rakvestretcher

Code: Select all

x = 9, y = 13, rule = /2/3
2.2A$2.2BA$4.BA$5.BA$4.A.B$4.B$3.A.B$3.B.A$2.A.BA$.AB.A.B$AB.B$B.A$8.
B!
I was born on march 23 (3/23). I was destined to be here, and here i am.

Code: Select all

#C [[ ZOOM 4 THEME MONO GPS 30 WIDTH 937 HEIGHT 600 RANDOMIZE ]]
x = 64, y = 64, rule = R5,C28,S12-19,25-33,55,113-120,B12,29-43,Nm
b!
I'm a big fan of engineered spaceships.
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hibiscus
Posts: 407
Joined: August 26th, 2023, 3:30 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hibiscus »

p122 G loop in B2cin3aceiy4cqr5k6eik78/S12-ck3cikqy4-knrtw5aknqr6ac7e8

Code: Select all

x = 177, y = 179, rule = B2cin3aceiy4cqr5k6eik78/S12-ck3cikqy4-knrtw5aknqr6ac7e8
51bo$52bo$49b2o7bo$49b2o5b3o$51bo4bo$50bobo2$49bo2bo$50bo2$63bo$61b3o$
61bo8$58bo$42b2o12b2o$43bo12bobo$43b2o4b2o5b2o$9b2o38bo$10bo37b2o$10b
2o2$21bo$b2o17b2o$2bo18b4o$2b2o19bo3$bo2bo$bobo$bob2obo$o21bo$6bo15b3o
$24bo4$22bo$20b3o$20bo6$87b3o$88b2o$87bo$86bobo$86b2o8$28b2o$26bob2o$
25bobobo$25b2o16$117b3o$117bobo$116bobo10$58bobo$57bobo$57b3o16$150b2o
$147bobobo$147b2obo$147b2o8$89b2o$88bobo$89bo$87b2o$87b3o6$156bo$154b
3o$154bo4$152bo$152b3o15bo$154bo21bo$170bob2obo$173bobo$172bo2bo3$153b
o19b2o$152b4o18bo$155b2o17b2o$155bo2$165b2o$127b2o37bo$127bo38b2o$119b
2o5b2o4b2o$118bobo12bo$119b2o12b2o$118bo8$115bo$113b3o$113bo2$126bo$
124bo2bo2$124bobo$120bo4bo$118b3o5b2o$118bo7b2o$124bo$125bo!

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!
Neocaridina
Posts: 116
Joined: December 14th, 2025, 1:56 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Neocaridina »

hibiscus wrote: February 18th, 2026, 3:21 pm p122 G loop in B2cin3aceiy4cqr5k6eik78/S12-ck3cikqy4-knrtw5aknqr6ac7e8

Code: Select all

x = 177, y = 179, rule = B2cin3aceiy4cqr5k6eik78/S12-ck3cikqy4-knrtw5aknqr6ac7e8
51bo$52bo$49b2o7bo$49b2o5b3o$51bo4bo$50bobo2$49bo2bo$50bo2$63bo$61b3o$
61bo8$58bo$42b2o12b2o$43bo12bobo$43b2o4b2o5b2o$9b2o38bo$10bo37b2o$10b
2o2$21bo$b2o17b2o$2bo18b4o$2b2o19bo3$bo2bo$bobo$bob2obo$o21bo$6bo15b3o
$24bo4$22bo$20b3o$20bo6$87b3o$88b2o$87bo$86bobo$86b2o8$28b2o$26bob2o$
25bobobo$25b2o16$117b3o$117bobo$116bobo10$58bobo$57bobo$57b3o16$150b2o
$147bobobo$147b2obo$147b2o8$89b2o$88bobo$89bo$87b2o$87b3o6$156bo$154b
3o$154bo4$152bo$152b3o15bo$154bo21bo$170bob2obo$173bobo$172bo2bo3$153b
o19b2o$152b4o18bo$155b2o17b2o$155bo2$165b2o$127b2o37bo$127bo38b2o$119b
2o5b2o4b2o$118bobo12bo$119b2o12b2o$118bo8$115bo$113b3o$113bo2$126bo$
124bo2bo2$124bobo$120bo4bo$118b3o5b2o$118bo7b2o$124bo$125bo!
For context, that was a rule R2INT made for halloween.
Currently waiting for my account to be deleted. Bye.
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Rhombic
Posts: 1099
Joined: June 1st, 2013, 5:41 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Rhombic »

Is this a binary counter of sorts? It can "overflow" though:

Code: Select all

x = 3231, y = 38, rule = B3-cnqy5e7/S23-a4a5r6e
11bo2bo20bo$6bo4bo22b3o$5b2o9b3o15bo3bo$b2o14bobo16b4o$bo2b2o13b2o18b
2o$o4bo13b2o18b2o$bo2b2o13b2o16bob2o16b2o$b2o14bobo18b2o18bo$5b2o9b3o
19bo16b2obo$6bo4bo43bo$11bo2bo41bo2$144b3o742b4o596b4o296b4o296b4o296b
4o296b4o296b4o$24b2o8bobo72b2o32bo3bo729bo10bo152b2o28bo405bo10bo53b2o
bo27bo35b2o30b2o28bo105bo10bo53b2obo27bo35b2o30b2o28bo105bo10bo53b2obo
27bo35b2o30b2o28bo105bo10bo53b2obo27bo35b2o30b2o28bo105bo10bo53b2obo
27bo35b2o30b2o28bo105bo10bo53b2obo27bo35b2o30b2o28bo$24b2o8b2o71b2obo
30b3obob2o42bo35b3o561bo35b3o46bobo9bo150b2o19bo2bo27bo35b3o261bo35b3o
46bobo9bo17b2o18bo13bo6bo24b4o31b2obo28b2o19bo2bo27bo35b3o46bobo9bo17b
2o18bo13bo6bo24b4o31b2obo28b2o19bo2bo27bo35b3o46bobo9bo17b2o18bo13bo6b
o24b4o31b2obo28b2o19bo2bo27bo35b3o46bobo9bo17b2o18bo13bo6bo24b4o31b2ob
o28b2o19bo2bo27bo35b3o46bobo9bo17b2o18bo13bo6bo24b4o31b2obo28b2o19bo2b
o27bo35b3o46bobo9bo17b2o18bo13bo6bo24b4o31b2obo28b2o19bo2bo27bo35b3o$
20b2o15b3o42bo10b2o12bo32bobo48b2o16bo17bo30b3o530b2o16bo17bo30b3o14b
2obo10b2obo146b2o3bo14b2ob3o26b2o16bo17bo263b2o16bo17bo30b3o14b2obo10b
2obo13b3o18b2o10b2obo4b2o15b3o4bo3b2o15b2ob2o10bo31b2o3bo14b2ob3o26b2o
16bo17bo30b3o14b2obo10b2obo13b3o18b2o10b2obo4b2o15b3o4bo3b2o15b2ob2o
10bo31b2o3bo14b2ob3o26b2o16bo17bo30b3o14b2obo10b2obo13b3o18b2o10b2obo
4b2o15b3o4bo3b2o15b2ob2o10bo31b2o3bo14b2ob3o26b2o16bo17bo30b3o14b2obo
10b2obo13b3o18b2o10b2obo4b2o15b3o4bo3b2o15b2ob2o10bo31b2o3bo14b2ob3o
26b2o16bo17bo30b3o14b2obo10b2obo13b3o18b2o10b2obo4b2o15b3o4bo3b2o15b2o
b2o10bo31b2o3bo14b2ob3o26b2o16bo17bo30b3o14b2obo10b2obo13b3o18b2o10b2o
bo4b2o15b3o4bo3b2o15b2ob2o10bo31b2o3bo14b2ob3o26b2o16bo17bo$19b3ob2o
14bo41b3o9b2o14b2o12b3o58b2o6b2o15b3obo13bo30bo2bo11b3o7b2o499b2o6b2o
15b3obo13bo30bo2bo17b3o9b2o130b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo
256b2o6b2o15b3obo13bo30bo2bo17b3o9b2o16bo16bob2o17bo16b2o6b2obobo17bo
13b2o12b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo30bo2bo17b3o9b2o16bo16bob
2o17bo16b2o6b2obobo17bo13b2o12b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo
30bo2bo17b3o9b2o16bo16bob2o17bo16b2o6b2obobo17bo13b2o12b3o18b2o13bobo
2b2o18b2o6b2o15b3obo13bo30bo2bo17b3o9b2o16bo16bob2o17bo16b2o6b2obobo
17bo13b2o12b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo30bo2bo17b3o9b2o16bo
16bob2o17bo16b2o6b2obobo17bo13b2o12b3o18b2o13bobo2b2o18b2o6b2o15b3obo
13bo30bo2bo17b3o9b2o16bo16bob2o17bo16b2o6b2obobo17bo13b2o12b3o18b2o13b
obo2b2o18b2o6b2o15b3obo13bo$19b2o4bo11bo2bo38b2ob2o13b2o9bo13bo3bo25b
3o27b2obo7b2o18b2o12bo2bo11b2o15bob2o9bo3bo7bo2b2o493b2obo7b2o18b2o12b
o2bo11b2o15bob2o16bo2bo8b2o129bo3bo18b2o19bo15b2obo7b2o18b2o12bo2bo
251b2obo7b2o18b2o12bo2bo11b2o15bob2o16bo2bo8b2o9b3o2b2obo17bobo16bobo
12b2o13b2o13b2o2b3o9bo13bo3bo18b2o19bo15b2obo7b2o18b2o12bo2bo11b2o15bo
b2o16bo2bo8b2o9b3o2b2obo17bobo16bobo12b2o13b2o13b2o2b3o9bo13bo3bo18b2o
19bo15b2obo7b2o18b2o12bo2bo11b2o15bob2o16bo2bo8b2o9b3o2b2obo17bobo16bo
bo12b2o13b2o13b2o2b3o9bo13bo3bo18b2o19bo15b2obo7b2o18b2o12bo2bo11b2o
15bob2o16bo2bo8b2o9b3o2b2obo17bobo16bobo12b2o13b2o13b2o2b3o9bo13bo3bo
18b2o19bo15b2obo7b2o18b2o12bo2bo11b2o15bob2o16bo2bo8b2o9b3o2b2obo17bob
o16bobo12b2o13b2o13b2o2b3o9bo13bo3bo18b2o19bo15b2obo7b2o18b2o12bo2bo
11b2o15bob2o16bo2bo8b2o9b3o2b2obo17bobo16bobo12b2o13b2o13b2o2b3o9bo13b
o3bo18b2o19bo15b2obo7b2o18b2o12bo2bo$19b3ob2o14bo39bo14b2ob3o22bo3b2o
24bo3bo25bo11b2o16bob2o12b2o12bob2obo14b2o8bo3b2o9bo2bo491bo11b2o16bob
2o12b2o12bob2obo14b2o15b2ob2o138bo3b2o18b2o10b2o5b3o14bo11b2o16bob2o
12b2o252bo11b2o16bob2o12b2o12bob2obo14b2o15b2ob2o18bo5bob2o18b2o7b2o7b
o13bobo13b2o18b2o22bo3b2o18b2o10b2o5b3o14bo11b2o16bob2o12b2o12bob2obo
14b2o15b2ob2o18bo5bob2o18b2o7b2o7bo13bobo13b2o18b2o22bo3b2o18b2o10b2o
5b3o14bo11b2o16bob2o12b2o12bob2obo14b2o15b2ob2o18bo5bob2o18b2o7b2o7bo
13bobo13b2o18b2o22bo3b2o18b2o10b2o5b3o14bo11b2o16bob2o12b2o12bob2obo
14b2o15b2ob2o18bo5bob2o18b2o7b2o7bo13bobo13b2o18b2o22bo3b2o18b2o10b2o
5b3o14bo11b2o16bob2o12b2o12bob2obo14b2o15b2ob2o18bo5bob2o18b2o7b2o7bo
13bobo13b2o18b2o22bo3b2o18b2o10b2o5b3o14bo11b2o16bob2o12b2o12bob2obo
14b2o15b2ob2o18bo5bob2o18b2o7b2o7bo13bobo13b2o18b2o22bo3b2o18b2o10b2o
5b3o14bo11b2o16bob2o12b2o$20b2o13b2ob2o38bo2bo11bo4b2o21bo3b3o23bo3b2o
24bo2bo9b2o18b2o25bo6bo13b2o7bo3b3o9bo2bo490bo2bo9b2o18b2o25bo6bo13b2o
15b2ob2o137bo3b3o16bob2o9b3o6b2o13bo2bo9b2o18b2o265bo2bo9b2o18b2o25bo
6bo13b2o15b2ob2o17bo2bo5b2o18b2o6bo22bo2bo13b2o18b2o21bo3b3o16bob2o9b
3o6b2o13bo2bo9b2o18b2o25bo6bo13b2o15b2ob2o17bo2bo5b2o18b2o6bo22bo2bo
13b2o18b2o21bo3b3o16bob2o9b3o6b2o13bo2bo9b2o18b2o25bo6bo13b2o15b2ob2o
17bo2bo5b2o18b2o6bo22bo2bo13b2o18b2o21bo3b3o16bob2o9b3o6b2o13bo2bo9b2o
18b2o25bo6bo13b2o15b2ob2o17bo2bo5b2o18b2o6bo22bo2bo13b2o18b2o21bo3b3o
16bob2o9b3o6b2o13bo2bo9b2o18b2o25bo6bo13b2o15b2ob2o17bo2bo5b2o18b2o6bo
22bo2bo13b2o18b2o21bo3b3o16bob2o9b3o6b2o13bo2bo9b2o18b2o25bo6bo13b2o
15b2ob2o17bo2bo5b2o18b2o6bo22bo2bo13b2o18b2o21bo3b3o16bob2o9b3o6b2o13b
o2bo9b2o18b2o$24b2o9b3o41bo14b2ob3o22bo3b2o24bo3bo25bo11b2o16bob2o12b
2o12bob2obo14b2o8bo3b2o9bo2bo491bo11b2o16bob2o12b2o12bob2obo14b2o15b2o
b2o138bo3b2o18b2o10b2o5b3o14bo11b2o16bob2o12b2o252bo11b2o16bob2o12b2o
12bob2obo14b2o15b2ob2o18bo5bob2o18b2o7b2o7bo13bobo13b2o18b2o22bo3b2o
18b2o10b2o5b3o14bo11b2o16bob2o12b2o12bob2obo14b2o15b2ob2o18bo5bob2o18b
2o7b2o7bo13bobo13b2o18b2o22bo3b2o18b2o10b2o5b3o14bo11b2o16bob2o12b2o
12bob2obo14b2o15b2ob2o18bo5bob2o18b2o7b2o7bo13bobo13b2o18b2o22bo3b2o
18b2o10b2o5b3o14bo11b2o16bob2o12b2o12bob2obo14b2o15b2ob2o18bo5bob2o18b
2o7b2o7bo13bobo13b2o18b2o22bo3b2o18b2o10b2o5b3o14bo11b2o16bob2o12b2o
12bob2obo14b2o15b2ob2o18bo5bob2o18b2o7b2o7bo13bobo13b2o18b2o22bo3b2o
18b2o10b2o5b3o14bo11b2o16bob2o12b2o12bob2obo14b2o15b2ob2o18bo5bob2o18b
2o7b2o7bo13bobo13b2o18b2o22bo3b2o18b2o10b2o5b3o14bo11b2o16bob2o12b2o$
24b2o10bo42b2ob2o13b2o9bo13bo3bo25b3o27b2obo7b2o18b2o12bo2bo11b2o15bob
2o9bo3bo7bo2b2o493b2obo7b2o18b2o12bo2bo11b2o15bob2o16bo2bo8b2o129bo3bo
18b2o19bo15b2obo7b2o18b2o12bo2bo251b2obo7b2o18b2o12bo2bo11b2o15bob2o
16bo2bo8b2o9b3o2b2obo17bobo16bobo12b2o13b2o13b2o2b3o9bo13bo3bo18b2o19b
o15b2obo7b2o18b2o12bo2bo11b2o15bob2o16bo2bo8b2o9b3o2b2obo17bobo16bobo
12b2o13b2o13b2o2b3o9bo13bo3bo18b2o19bo15b2obo7b2o18b2o12bo2bo11b2o15bo
b2o16bo2bo8b2o9b3o2b2obo17bobo16bobo12b2o13b2o13b2o2b3o9bo13bo3bo18b2o
19bo15b2obo7b2o18b2o12bo2bo11b2o15bob2o16bo2bo8b2o9b3o2b2obo17bobo16bo
bo12b2o13b2o13b2o2b3o9bo13bo3bo18b2o19bo15b2obo7b2o18b2o12bo2bo11b2o
15bob2o16bo2bo8b2o9b3o2b2obo17bobo16bobo12b2o13b2o13b2o2b3o9bo13bo3bo
18b2o19bo15b2obo7b2o18b2o12bo2bo11b2o15bob2o16bo2bo8b2o9b3o2b2obo17bob
o16bobo12b2o13b2o13b2o2b3o9bo13bo3bo18b2o19bo15b2obo7b2o18b2o12bo2bo$
81b3o9b2o14b2o12b3o58b2o6b2o15b3obo13bo30bo2bo11b3o7b2o499b2o6b2o15b3o
bo13bo30bo2bo17b3o9b2o130b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo256b2o
6b2o15b3obo13bo30bo2bo17b3o9b2o16bo16bob2o17bo16b2o6b2obobo17bo13b2o
12b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo30bo2bo17b3o9b2o16bo16bob2o17b
o16b2o6b2obobo17bo13b2o12b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo30bo2bo
17b3o9b2o16bo16bob2o17bo16b2o6b2obobo17bo13b2o12b3o18b2o13bobo2b2o18b
2o6b2o15b3obo13bo30bo2bo17b3o9b2o16bo16bob2o17bo16b2o6b2obobo17bo13b2o
12b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo30bo2bo17b3o9b2o16bo16bob2o17b
o16b2o6b2obobo17bo13b2o12b3o18b2o13bobo2b2o18b2o6b2o15b3obo13bo30bo2bo
17b3o9b2o16bo16bob2o17bo16b2o6b2obobo17bo13b2o12b3o18b2o13bobo2b2o18b
2o6b2o15b3obo13bo$82bo10b2o12bo32bobo48b2o16bo17bo30b3o530b2o16bo17bo
30b3o14b2obo10b2obo146b2o3bo14b2ob3o26b2o16bo17bo263b2o16bo17bo30b3o
14b2obo10b2obo13b3o18b2o10b2obo4b2o15b3o4bo3b2o15b2ob2o10bo31b2o3bo14b
2ob3o26b2o16bo17bo30b3o14b2obo10b2obo13b3o18b2o10b2obo4b2o15b3o4bo3b2o
15b2ob2o10bo31b2o3bo14b2ob3o26b2o16bo17bo30b3o14b2obo10b2obo13b3o18b2o
10b2obo4b2o15b3o4bo3b2o15b2ob2o10bo31b2o3bo14b2ob3o26b2o16bo17bo30b3o
14b2obo10b2obo13b3o18b2o10b2obo4b2o15b3o4bo3b2o15b2ob2o10bo31b2o3bo14b
2ob3o26b2o16bo17bo30b3o14b2obo10b2obo13b3o18b2o10b2obo4b2o15b3o4bo3b2o
15b2ob2o10bo31b2o3bo14b2ob3o26b2o16bo17bo30b3o14b2obo10b2obo13b3o18b2o
10b2obo4b2o15b3o4bo3b2o15b2ob2o10bo31b2o3bo14b2ob3o26b2o16bo17bo$107b
2obo30b3obob2o42bo35b3o561bo35b3o46bobo9bo150b2o19bo2bo27bo35b3o261bo
35b3o46bobo9bo17b2o18bo13bo6bo24b4o31b2obo28b2o19bo2bo27bo35b3o46bobo
9bo17b2o18bo13bo6bo24b4o31b2obo28b2o19bo2bo27bo35b3o46bobo9bo17b2o18bo
13bo6bo24b4o31b2obo28b2o19bo2bo27bo35b3o46bobo9bo17b2o18bo13bo6bo24b4o
31b2obo28b2o19bo2bo27bo35b3o46bobo9bo17b2o18bo13bo6bo24b4o31b2obo28b2o
19bo2bo27bo35b3o46bobo9bo17b2o18bo13bo6bo24b4o31b2obo28b2o19bo2bo27bo
35b3o$109b2o32bo3bo729bo10bo152b2o28bo405bo10bo53b2obo27bo35b2o30b2o
28bo105bo10bo53b2obo27bo35b2o30b2o28bo105bo10bo53b2obo27bo35b2o30b2o
28bo105bo10bo53b2obo27bo35b2o30b2o28bo105bo10bo53b2obo27bo35b2o30b2o
28bo105bo10bo53b2obo27bo35b2o30b2o28bo$144b3o742b4o596b4o296b4o296b4o
296b4o296b4o296b4o$10b2o18bo11b2obo4b2o$11bo17bob2o9b3o4b3o$6bo5bo36b
2o$5b2o3b2ob2o16bob2o15bo$4b2obo2b2o2bo19bo7bo8bo$4b2o6bo2bo16bo2bo5bo
$4b2obo2b2o2bo19bo7bo8bo$5b2o3b2ob2o16bob2o15bo$6bo5bo36b2o$11bo17bob
2o9b3o4b3o$10b2o18bo11b2obo4b2o!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?
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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

Rhombic wrote: February 18th, 2026, 7:13 pm Is this a binary counter of sorts? It can "overflow" though:
Yes.
Once it overflows, the rake will fill up everything at front with "empty bits" which the counter can never overflow again.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

hibiscus wrote: January 2nd, 2026, 4:29 pm Edit (2026/01/02 22:34): This is a 3c/15d (c/5d) backrake, if I'm not mistaken:

Code: Select all

x = 7, y = 7, rule = 2-p3m4p/23o6/3H
.ABA$3A.B$AB$.A4.B$.2A2.BA$2.B3.A$3.AB.B!
Corderized, 9c/45d:

Code: Select all

x = 55, y = 26, rule = 2-p3m4p/23o6/3H
.AB.B$4A$.A$.2A.B.BA$2.BA3.A15.AB.B$6.B2A13.4A$4.B2.A15.A$23.2A.B.BA$
24.BA3.A$28.B2A$19.ABA4.B2.A$19.AB.BA$20.B2.A11.B$21.AB2A7.AB2.A.ABA$
23.A8.B2.2B.A.BA$35.ABA2B.B$32.B5.2B2A$37.A.2A$37.2A$38.A$40.B2$51.A$
51.ABA$52.2B$52.3A!
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