Miscellaneous Discoveries in Other Cellular Automata

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

Post by FWKnightship »

FWKnightship wrote: September 3rd, 2026, 6:07 am B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
(2,1)c/5 by LLSSS, which is a capped backrake:

Code: Select all

x = 66, y = 79, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
8bo41bo$7b3o39b3o$5bo41bo$2bobobob2o34bobobob2o$3b2o2bobo35b2o2bobo2$b
2o6bo33b2o6bo$2bo7bo33bo7bo$2b3o7bo31b3o7bo$2b2o4bo3bo31b2o4bo3bo$4bob
2o38bob2o$5b3ob2o36b3ob2o$6bo3bo37bo3bo$7bo2bo38bo2bo$9b3o39b3o$8b5o
37b5o$10bo41bo$7bo4bo36bo4bo$7bo41bo$3bobo39bobo$b2obobo36b2obobo$bob
2o2b4o32bob2o2b4o$obobob2o2b2o30bobobob2o2b2o$3bo2bobo2bo33bo2bobo2bo$
3bo41bo$8bobobo37bobobo$4bo3bo2bo34bo3bo2bo$3bo5bo35bo5bo$2bo7bo33bo7b
o$b2o2b2ob2o33b2o2b2ob2o$b2o6bob3o29b2o6bob3o$b4o5bobo2bo27b4o5bobo2bo
$bo7bob2o2bo27bo7bob2o2bo$2bo6bo2bo31bo6bo2bo$2b3o6bo32b3o6bo$2b3o2b2o
b3o31b3o2b2ob3o$2bo8bob2o29bo8bob2o$8bo4b2o35bo4b2o$3b2o3bo2bo33b2o3bo
2bo$9b3o2b2o35b3o2b2o$3b5obo35b5obo$4bo5bob3o31bo5bob3o$4b2obo3bo5bo
28b2obo3bo5bo$5bobo5bo33bobo5bo$3bobobo6bobo28bobobo6bobo$3b2ob2obo2b
2o3bo27b2ob2obo2b2o3bo$9b3o2bo36b3o2bo$9bob2o5bo32bob2o5bo$9b4o5bo32b
4o5bo$9b2obo4bo33b2obo4bo$10b2o8bo31b2o8bo$10bo3b2o36bo3b2o$13bo5b2o
34bo5b2o$13bo3bo37bo3bo$11bo2bo8bo29bo2bo8bo$12b4o5b2o31b4o5b2o$11b2o
40b2o$11b2o2bo37b2o2bo$10b2o3bo2bo3bo29b2o3bo2bo$13bo2b2o4bo32bo2b2o$
10bobobo2bo34bobobo2bo$11bo5b2o34bo5b2o$12bo41bo$14bobo39bobo$16b3o39b
3o$12bo3bobo35bo3bobo$15bobo39bobo$16bobobo37bobobo$16bo3bo37bo3bo$20b
2o40b2o$15bo2bo38bo2bo$14bob2o2bo35bob2o2bo$14bob2o38bob2o$17bo41bo$
17b2o40b2o$17b2obo38b2obo2$19bo41bo$19bo41bo!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
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TheWayOfTheCon
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by TheWayOfTheCon »

This variant of 3-4 Life, only 2 transitions away from being OT, has a pretty common c/5d spaceship.

Code: Select all

x = 3, y = 3, rule = B34/S34-ae
2o$obo$3o!
Four interesting collisions.

Code: Select all

x = 52, y = 38, rule = B34/S34-ae
31bo$31bo$29b4o$3bo10b2o15bo$2bob2o8bobo$3b2o9b3o$3bo4$39b3o$39bobo$39b
2o13$b2o31bo$obo30b2o$3o29b3o7$16b3o$16bobo30b3o$16b2o31bobo$49b2o!
The block, the only common still life in this rule, can drag it one cell down.

Code: Select all

x = 5, y = 10, rule = B34/S34-ae
b2o$obo$3o6$3b2o$3b2o!
One-time turners.

Code: Select all

x = 27, y = 12, rule = B34/S34-ae
17b2o$b2o13bobo$obo13b3o$3o6$9bo16bo$7b3o14bobo$9bo16bo!
Almost eating reaction.

Code: Select all

x = 8, y = 10, rule = B34/S34-ae
b2o$obo$3o5$5b2o$6b2o$5bo!
... and actual eating reaction!

Code: Select all

x = 10, y = 11, rule = B34/S34-ae
8bo$b2o5b2o$obo4b2o$3o5$5b2o$6b2o$5bo!
EDIT: Some high-period oscillators found from apgsearching. The period-40 is actually just four 2c/29 spaceships repeatedly hitting each other!

Code: Select all

x = 31, y = 28, rule = B34/S34-ae
14bobo8b4obo$bo2bo7bobo10bob2o$2o2b2o10b2o5bo4bo$2o2b2o6b2o11bob2o$bo
2bo10bobo7b4obo$13bobo10$23b3o$23b3o$23b3o2$2b2ob2o17bo$2b2ob2o11b3o7b
3o$4bo13b3obo3bob3o$2b2ob2o11b3o7b3o$2b2ob2o17bo2$23b3o$23b3o$23b3o!
Various reactions from the period-40.

Code: Select all

x = 27, y = 116, rule = B34/S34-ae
5b3o16bo$5b3o16b2o$5b3o16b3o2$6bo$3o7b3o$3obo3bob3o$3o7b3o$6bo2$5b3o$
5b3o$5b3o14$5b3o$5b3o$5b3o16bo$24b2o$6bo17b3o$3o7b3o$3obo3bob3o$3o7b3o
$6bo2$5b3o$5b3o$5b3o14$5b3o$5b3o$5b3o$24bo$6bo17bo$3o7b3o10b4o$3obo3b
ob3o11bo$3o7b3o$6bo2$5b3o$5b3o$5b3o14$5b3o$5b3o$5b3o2$6bo17bo$3o7b3o9b
2obo$3obo3bob3o11bo$3o7b3o11bo$6bo2$5b3o$5b3o$5b3o10$24bo$24b2o$24b3o
$5b3o$5b3o$5b3o2$6bo$3o7b3o$3obo3bob3o$3o7b3o$6bo2$5b3o$5b3o$5b3o!
Last edited by TheWayOfTheCon on September 5th, 2026, 9:55 pm, edited 1 time in total.
I could've chose a better username, but oh well.

Still learning the ropes of cellular automata, focused on one OCA at a time. My current interest is B35/S126 and range-two LTLs.
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FWKnightship
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship »

FWKnightship wrote: September 3rd, 2026, 6:07 am B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
Apgsearch found a 2c/64o:

Code: Select all

x = 16, y = 16, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
2b2obob5o2b2o$2b3obob6obo$ob2o3b5ob3o$b2o3b3obo3b2o$2ob2obobob2o2bo$2o
3b2o2bo4bo$o2b3o2b4o$2o5bobobob2o$b2ob6o2b2obo$2bo2b4obob3o$obobo7b3o$
2o2b3obo2bob2o$2bo3b3o2bo$obob5ob2o2bo$b2o2b2o2b2o3bo$bob4o2bob3o!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
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ThePlayzr
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by ThePlayzr »

This wickstretcher is 13c/67:

Code: Select all

x = 44, y = 17, rule = B34567/S058
13bo$10bo5bo3bobo3bo$5bo3b20o2bo$bob6o20b5o$9b20o7bo$9o20b10o$9b20o12b
o$9o20b14o$9b20o$9o20b15o$9b20o$9o20b15o$9b20o$9o20b15o$3bobo4b2obobo
b2obobobob2o4bobo5bo$3bo2bob2o2b4o4bobobo7bo2bob2obo$6bo28bo!
It appears to have 2c/10 sides that are rephased by the unstable (well technically stable but you know what I mean) centre, making it 13c/67 instead of 12c/60.
EDIT: a p6 in the same rule:

Code: Select all

x = 5, y = 5, rule = B34567/S058
obo$2bobo$3obo2$b2o!
Please visit my rules (found on my wiki page) and contribute!
User:ThePlayzr
I have LLS and qfind.
Working on a jslife-like Travelling Ts pattern collection.
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J5L
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by J5L »

An RMOS on a very old rulespace:

Code: Select all

x = 25, y = 25, rule = B2e3aijky4acejr5ai6cn8/S1c2-i3knr4ae5-aeqy6ci7e8
2o$o$2o21$22bobo$22b3o!
Finding more patterns in this rulespace right now.
EDIT 1: New RMOS(1 transition away!)

Code: Select all

x = 25, y = 25, rule = B2e3aijky4acejr5ai6cn8/S1c2-i3knr4ae5-aqy6ci7e8
2o$o$2o21$22bobo$22b3o!
EDIT 2: PRMOS(3tran away)

Code: Select all

x = 25, y = 25, rule = B2e3aijky4acejr5aik6cn8/S1c2-i3knr4ace5-aqy6ci7e8
2o$o$2o21$22bobo$22b3o!
EDIT 3: GMOS

Code: Select all

x = 27, y = 27, rule = B2e3aijky4acjr5ai6cn7c8/S1c2-i3knr4ae5-eqy6ci7e8
2o$o$2o23$24bobo$24b3o!
EDIT 4: Related RMOR

Code: Select all

x = 25, y = 25, rule = B2e3aijky4acjr5ai6cn7c8/S1c2-i3knry4ae5-ceqy6cei7e8
2o$o$2o21$22bobo$22b3o!
EDIT 5: RMOS

Code: Select all

x = 32, y = 32, rule = B2e3aijky4acejr5ai6c7e8/S1c2-i3knr4aek5-aeqy6c7e8
2o$o$2o28$29bobo$29b3o!
EDIT 6: RMOS

Code: Select all

x = 34, y = 34, rule = B2e3aijky4acejr5aik6cn7e8/S1c2-i3knr4aek5-aeqy6c7e8
2o$o$2o30$31bobo$31b3o!
EDIT 7: RMOS

Code: Select all

x = 29, y = 29, rule = B2e3aijy4acejr5ai6cn8/S1c2-i3knr4ae5-aeqy6ci7e8
2o$o$2o25$26bobo$26b3o!
EDIT 8:By the way, i handgolf these rules because i am on mobile right now.
EDIT 9: RMOR

Code: Select all

x = 32, y = 32, rule = B2e3aijky4acejr5ai6c78/S1c2-i3knr4aek5-aeqy6c7e8
2o$o$2o28$29bobo$29b3o!
EDIT 10: RMOS

Code: Select all

x = 25, y = 25, rule = B2e3aijky4acejr5ai6cn8/S1c2-i3knr4ae5-aeqy6ck7
2o$o$2o21$22bobo$22b3o!
EDIT 11: GMOS

Code: Select all

x = 25, y = 25, rule = B2e3aijky4acejr5aik6cn8/S1c2-i3knr4ae5-aeqy6ci78
2o$o$2o21$22bobo$22b3o!
EDIT 12: Different but related PMOS

Code: Select all

x = 25, y = 25, rule = B2e3aijky4acejr5ai6c7e/S1c2-i3knr4ae5-aqy6ace7e8
2o$o$2o21$22bobo$22b3o!
Last edited by J5L on September 10th, 2026, 3:02 am, edited 4 times in total.
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Aleph
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Aleph »

I um just found this pile of patterns on my old laptop.
Attachments
mca.txt
(41.06 KiB) Downloaded 9 times
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Resu
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Resu »

Very simple gun in B3-kq4j5k6/S2-i35ai6k.

Code: Select all

x = 3, y = 24, rule = B3-kq4j5k6/S2-i35ai6k
2o$2o5$2bo$obo$b2o7$b2o$obo$2bo5$2o$2o!
Glider gun based off it.

Code: Select all

x = 48, y = 24, rule = B3-kq4j5k6/S2-i35ai6k
23b2o$23b2o4$24bo$6bo4b2o9b2o17bo$5bobo4b2o9b2o15bobo$6bo4bo29bo3$bo44b
o$obo42bobo$bo2bo41bo$3b3obo$3b2o$23b2o$22b2o$24bo4$23b2o$23b2o!
Interesting glider reactions.

Code: Select all

x = 80, y = 16, rule = B3-kq4j5k6/S2-i35ai6k
3bo24bo$bobo22bobo$2b2o23b2o2$51bo25bo$49bobo23bobo$50b2o24b2o4$b2o21b
2o$obo20bobo$2bo22bo$47b2o29b2o$46bobo28bobo$48bo30bo!

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
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CasperWen8805181
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

Found out that butterflies are infinitely extensible in both directions in one of my old rules:

Code: Select all

x = 9, y = 9, rule = /2-e3ae/3
.A$BAB$3.A$4.B$4.2A$4.B.A$5.BAB$8.A$7.B!

Code: Select all

x = 7, y = 7, rule = /2-e3ae/3
4.A$3.BAB$2.2A2.A$.AB2.B$BA2.B$3.A$2.B!

Code: Select all

x = 46, y = 46, rule = /2-e3ae/3
23.A$22.BAB$21.2A2.A$20.AB2.B.B$19.BAB.B2.2A$18.2A2.A3.B.A$17.AB2.B5.
BAB$16.BAB.B5.2A2.A$15.2A2.A5.AB2.B.B$14.AB2.B5.BAB.B2.2A$13.BAB.B5.2A
2.A3.B.A$12.2A2.A5.AB2.B5.BAB$11.AB2.B5.BAB.B5.2A2.A$10.BAB.B5.2A2.A5.
AB2.B.B$9.2A2.A5.AB2.B5.BAB.B2.2A$8.AB2.B5.BAB.B5.2A2.A3.B.A$7.BAB.B5.
2A2.A5.AB2.B5.BAB$6.2A2.A5.AB2.B5.BAB.B5.2A2.A$5.AB2.B5.BAB.B5.2A2.A5.
AB2.B.B$4.BAB.B5.2A2.A5.AB2.B5.BAB.B2.2A$3.2A2.A5.AB2.B5.BAB.B5.2A2.A
3.B.A$2.AB2.B5.BAB.B5.2A2.A5.AB2.B5.BAB$.BAB.B5.2A2.A5.AB2.B5.BAB.B5.
2A2.A$2A2.A5.AB2.B5.BAB.B5.2A2.A5.AB2.B$B2.B5.BAB.B5.2A2.A5.AB2.B5.BA
B.B$2.B5.2A2.A5.AB2.B5.BAB.B5.2A2.A$7.AB2.B5.BAB.B5.2A2.A5.AB2.B$6.BA
B.B5.2A2.A5.AB2.B5.BAB.B$5.2A2.A5.AB2.B5.BAB.B5.2A2.A$5.B2.B5.BAB.B5.
2A2.A5.AB2.B$7.B5.2A2.A5.AB2.B5.BAB.B$12.AB2.B5.BAB.B5.2A2.A$11.BAB.B
5.2A2.A5.AB2.B$10.2A2.A5.AB2.B5.BAB.B$10.B2.B5.BAB.B5.2A2.A$12.B5.2A2.
A5.AB2.B$17.AB2.B5.BAB.B$16.BAB.B5.2A2.A$15.2A2.A5.AB2.B$15.B2.B5.BAB
.B$17.B5.2A2.A$22.AB2.B$21.BAB.B$20.2A2.A$20.B2.B$22.B!
Edit: Cool orthogonal ship (In my opinion)

Code: Select all

x = 6, y = 5, rule = 2-a3-ce4ekrtwyz5e6ace78/2ce3acikn4acet5en6ace78/3
3.A$.AB.2A$ABAB2A$.AB.2A$3.A!
A "Synchronized" constellation in a nearby rule, no ships found other than the super small diagonal ship however.

Code: Select all

x = 3, y = 3, rule = 2-a3-ce4ekrtwyz5e6ace78/2ce3acikn4aceijt5en6ace78/3
.A$3A$.A!
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
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NNlk05
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by NNlk05 »

Not exactly my discovery per se, but I think "Totalistic rule: Dynamic Atomic Simulation" is cool and worth sharing.
Feci quod potui, faciant meliora potentes.

Code: Select all

x = 10, y = 3, rule = B34twz/S23
b2o4b2o$obo4bobo$2bo4bo!
[[ AUTOSTART AUTOHIDEGUI TRACK 0 -47/270 ZOOM 4 GPS 45 STEP 3 THEME BOOK ]]
https://nnlk05.github.io

=3
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CasperWen8805181
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

Code: Select all

x = 158, y = 103, rule = 23cekn4567/345678/8
157.B$156.CA$155.D2A$154.E3A$153.F2AEA$152.GAF3A$152.4AGA$146.8A.3A$145.
B12A$144.CAB3AB3AB3A$143.D4AC3AC3ACA$142.E3AD3AD3AD3A$141.F2AE3AE3AE3A
EA$140.GAF3AF3AF3AF3A$140.4AG3AG3AG3AGA$134.8A.3A.3A.3A.3A$133.B24A$132.
CAB3AB3AB3AB3AB3AB3A$131.D4AC3AC3AC3AC3AC3ACA$130.E3AD3AD3AD3AD3AD3AD
3A$129.F2AE3AE3AE3AE3AE3AE3AEA$128.GAF3AF3AF3AF3AF3AF3AF3A$128.4AG3AG
3AG3AG3AG3AG3AGA$122.8A.3A.3A.3A.3A.3A.3A.3A$121.B36A$120.CAB3AB3AB3A
B3AB3AB3AB3AB3AB3A$119.D4AC3AC3AC3AC3AC3AC3AC3AC3ACA$118.E3AD3AD3AD3A
D3AD3AD3AD3AD3AD3A$117.F2AE3AE3AE3AE3AE3AE3AE3AE3AE3AEA$116.GAF3AF3AF
3AF3AF3AF3AF3AF3AF3AF3A$116.4AG3AG3AG3AG3AG3AG3AG3AG3AG3AGA$110.8A.3A
.3A.3A.3A.3A.3A.3A.3A.3A.3A$109.B48A$108.CAB3AB3AB3AB3AB3AB3AB3AB3AB3A
B3AB3AB3A$107.D4AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3ACA$106.E3AD3AD3AD3A
D3AD3AD3AD3AD3AD3AD3AD3AD3A$105.F2AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE
3AEA$104.GAF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3A$104.4AG3AG3AG3AG3A
G3AG3AG3AG3AG3AG3AG3AG3AGA$98.8A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.
3A$97.B60A$96.CAB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A$95.D4AC
3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3ACA$94.E3AD3AD3AD3AD3AD3AD3AD
3AD3AD3AD3AD3AD3AD3AD3AD3A$93.F2AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3A
E3AE3AE3AEA$92.GAF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3A$92.
4AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AGA$86.8A.3A.3A.3A.3A.3A
.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A$85.B72A$84.CAB3AB3AB3AB3AB3AB3AB3AB
3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A$83.D4AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3A
C3AC3AC3AC3AC3AC3AC3ACA$82.E3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3A
D3AD3AD3AD3AD3A$81.F2AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3A
E3AE3AEA$80.GAF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF
3A$80.4AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AGA$74.8A
.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A$73.B84A$72.
CAB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A$71.
D4AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3ACA$70.
E3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3A$69.
F2AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AEA$
68.GAF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF
3A$68.4AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG
3AGA$62.8A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A
.3A.3A$61.B96A$60.CAB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB
3AB3AB3AB3AB3AB3AB3AB3A$59.D4AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3A
C3AC3AC3AC3AC3AC3AC3AC3AC3AC3ACA$58.E3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3A
D3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3A$57.F2AE3AE3AE3AE3AE3AE3AE3A
E3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AEA$56.GAF3AF3AF3AF
3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3A$56.
4AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG
3AG3AGA$50.8A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A
.3A.3A.3A.3A.3A.3A$49.B108A$48.CAB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A
B3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A$47.D4AC3AC3AC3AC3AC3AC3A
C3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3ACA$46.E3A
D3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3A
D3AD3AD3AD3A$45.F2AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3A
E3AE3AE3AE3AE3AE3AE3AE3AE3AE3AEA$44.GAF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF
3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3A$44.4AG3AG3AG3AG
3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG
3AGA$38.8A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A
.3A.3A.3A.3A.3A.3A.3A.3A$37.B120A$36.CAB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A
B3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A$35.D4AC3A
C3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3A
C3AC3AC3AC3AC3ACA$34.E3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3A
D3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3A$33.F2AE3AE3AE3AE3AE3AE3A
E3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3A
E3AEA$32.GAF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF
3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3A$32.4AG3AG3AG3AG3AG3AG3AG3AG3AG3AG
3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AGA$26.8A
.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A.3A
.3A.3A.3A.3A.3A.3A.3A.3A$25.B132A$24.CAB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A
B3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3AB3A
$23.D4AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3A
C3AC3AC3AC3AC3AC3AC3AC3AC3AC3AC3ACA$22.E3AD3AD3AD3AD3AD3AD3AD3AD3AD3A
D3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3AD3A
D3A$7.ACEGACEG6.F2AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3A
E3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AE3AEA$2.ACEG10A5.AF3AF3A
F3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3AF3A
F3AF3AF3AF3AF3AF3AF3AF3AF3A$.12A2B5AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3A
G3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3A
GA$.8A.B3A3B7AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG
3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AG3AGA$3ADA.2AG2.CF145A$3ADA.
2AF2.D2FACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEA
CAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEACAEAC
AEACAEACAEACAE$.11AEF144A$.2ABAFABAF3AF3AF.AGF.AGF.AGF.AGF.AGF.AGF.AG
F.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF
.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF.AGF$2.9ABAF3ADG$2.ABDF.10AC2E
$7.ABDF.BDF.BAF!
Any way to stabilize this?
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
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WhiteHawk
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

Like B3/S235e, the B in B34c8/S234c8 is also a failed rotating oscillator, eventually colliding with it's own debris. I am currently trying to loop it, but am running into a couple issues. Here is a makeshift model of my current progress (p23s come from Eightlife)

Code: Select all

x = 233, y = 223, rule = B34c8/S234c8
108b2o$107bobo$101b2o4bo$99bo2bo2b2ob4o$99b2obobobobo2bo$102bobobobo$
102bobob2o$103bo2$116b2o$107b2o7bo$107b2o5bobo$114b2o7$104b2o$105bo$102b
3o$102bo4$140b10o$140b2o2b2o2b2o$142b2o2b2o$137b2o12b2o$70bo66b2o12b2o
$70b3o64bobo10bobo$73bo63bobo10bobo$72b2o63b2o12b2o$137b2o12b2o$137bo
bo10bobo$64b2o71bobo10bobo$64bo72b2o12b2o$61b2obo72b2o12b2o$61bo2b3o4b
2o69b2o2b2o$62b2o3bo3b2o67b2o2b2o2b2o$64b4o72b10o$64bo15b2o$65b3o12bo
bo$68bo13bo$63b5o14b2o$63bo$65bo$64b2o3$139bo4bo$137b2ob4ob2o$136bo2b
o4bo2bo$139b2o2b2o$137bo8bo$133bo4bo6bo4bo$132bo2bo12bo2bo$132bo3bo10b
o3bo$131bob2o14b2obo$77bo54bobo14bobo40b2o$76bobo53bo18bo39bobo$77bo54b
o18bo33b2o4bo$132bobo14bobo31bo2bo2b2ob4o$75b5o51bob2o14b2obo30b2obob
obobo2bo$74bo4bo52bo3bo10bo3bo34bobobobo$73bo2bo55bo2bo12bo2bo34bobob
2o$70bo2bob2o56bo4bo6bo4bo36bo$69bobobo5bo57bo8bo$70bo2bo4bobo58b2o2b
2o55b2o$73b2o2bo2bo55bo2bo4bo2bo43b2o7bo$78b2o32b2o23b2ob4ob2o44b2o5b
obo$112bo26bo4bo53b2o$110bobo$110b2o5$188b2o$29b10o20bo4bo124bo$29b2o
2b2o2b2o18b2ob4ob2o119b3o$31b2o2b2o19bo2bo4bo2bo118bo$26b2o12b2o17b2o
2b2o$26b2o12b2o15bo8bo$26bobo10bobo11bo4bo6bo4bo$26bobo10bobo10bo2bo12b
o2bo$26b2o12b2o10bo3bo10bo3bo$26b2o12b2o9bob2o14b2obo$26bobo10bobo10b
obo14bobo$26bobo10bobo10bo18bo$26b2o12b2o10bo18bo$26b2o12b2o10bobo14b
obo$31b2o2b2o14bob2o14b2obo$29b2o2b2o2b2o13bo3bo10bo3bo$29b10o13bo2bo
12bo2bo$53bo4bo6bo4bo$57bo8bo50b2o$59b2o2b2o52b2o$56bo2bo4bo2bo53b2o105b
2o$57b2ob4ob2o53bobo105bo$59bo4bo56bo108bo$210b2o14b5o$211bo13bo$211b
obo12b3o$212b2o15bo$226b4o$221b2o3bo3b2o$221b2o4b3o2bo$229bob2o$99b2o
128bo$99bobo126b2o$100bo60bo$161bo$220b2o$9bo210bo$9b3o209b3o$12bo83b
ob2o123bo$11b2o83b3o$71bo25bo$71b3o$3b2o69bo$3bo69b2o$2obo$o2b3o4b2o$
b2o3bo3b2o$3b4o$3bo15b2o$4b3o12bobo$7bo13bo$2b5o14b2o$2bo165bo4bo$4bo
161b2ob4ob2o$3b2o160bo2bo4bo2bo$168b2o2b2o$166bo8bo$162bo4bo6bo4bo$161b
o2bo12bo2bo13b10o$161bo3bo10bo3bo13b2o2b2o2b2o$160bob2o14b2obo14b2o2b
2o$161bobo14bobo10b2o12b2o$161bo18bo10b2o12b2o$161bo18bo10bobo10bobo$
123b2o36bobo14bobo10bobo10bobo$122bobo35bob2o14b2obo9b2o12b2o$122bo38b
o3bo10bo3bo10b2o12b2o$121b2o38bo2bo12bo2bo10bobo10bobo$162bo4bo6bo4bo
11bobo10bobo$166bo8bo15b2o12b2o$168b2o2b2o17b2o12b2o$165bo2bo4bo2bo19b
2o2b2o$166b2ob4ob2o18b2o2b2o2b2o$168bo4bo20b10o$87b2o$87bo$88b3o$90bo
2$121b2o$120bobo$120bo$119b2o32b2o$152bo2bo2b2o$152bobo4bo$60bo92bo5b
ob2o$58b3o95b2obobo$57bo98bo2bo2bo$57b2o94bo4bo2b2o$153b5o$190b2o$143b
o2bo8bo34bo$101b2o40b4o7bobo35bo$142bob2obo7bo16b2o14b5o$97bo3b2o3bo34b
3o2b3o24bo13bo$47b2o47bo10bo65bobo12b3o$46bobo5b2o44b4o70b2o15bo$46bo
7b2o43bo4bo83b4o$45b2o49bo2bo4bo2bo29bo14bo30b2o3bo3b2o$99bo4bo31b2o14b
2o29b2o4b3o2bo$59bo31bo2bo14bo2bo21b2obo14bob2o35bob2o$55b2obobo29bo22b
o21b2o16b2o36bo$54bobobobo74b2o16b2o35b2o$51bo2bobobobob2o29b3o12b3o23b
2obo14bob2o$51b4ob2o2bo2bo28bo18bo24b2o14b2o$55bo4b2o26bobobo18bobobo
21bo14bo29b2o$53bobo32bobobo18bobobo66bo$53b2o37bo18bo71b3o$93b3o12b3o
74bo$141b3o2b3o$90bo22bo28bob2obo$91bo2bo14bo2bo30b4o$99bo4bo38bo2bo$
96bo2bo4bo2bo$99bo4bo$100b4o$96bo10bo$97bo3b2o3bo2$101b2o2$148bo$146b
3o$145bo$145b2o7$135b2o$134bobo5b2o$134bo7b2o$133b2o2$147bo$143b2obob
o$142bobobobo$139bo2bobobobob2o$139b4ob2o2bo2bo$143bo4b2o$141bobo$141b
2o!
Last edited by WhiteHawk on September 10th, 2026, 8:41 pm, edited 1 time in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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TheWayOfTheCon
Posts: 283
Joined: March 28th, 2025, 11:40 pm
Location: Kraken Mare, Titan

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by TheWayOfTheCon »

This fails as a p4 oscillator due to one live cell shifted upwards.

Code: Select all

x = 5, y = 4, rule = B34/S34-ae
2b2o$2obo$2ob2o$2bo!
#C [[ STOP 4 GPS 2 ]]
I could've chose a better username, but oh well.

Still learning the ropes of cellular automata, focused on one OCA at a time. My current interest is B35/S126 and range-two LTLs.
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J5L
Posts: 55
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Location: Flower Garden

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by J5L »

A funny failed quadratic replicator while i rulegolfed for some ships with weird speeds:

Code: Select all

x = 3, y = 3, rule = B34q5-n8/S234i
3o$2bo$2bo!
Nearby rules that support the quadratic replicator can have reppuffers, this rule too, but it only has 1 reppuffer(predecessor):

Code: Select all

x = 35, y = 3, rule = B34q5-n8/S234i
o33bo$o33bo$3o29b3o!
JayFiveEll.
Preparing for exams, there are 9, and each day is 2 exams(except Friday which is only 1 exam).
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Resu
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Resu »

C/3 spaceship in B3-kq4j5k6/S2-i35ai6k.

Code: Select all

x = 17, y = 38, rule = B3-kq4j5k6/S2-i35ai6k
2b3o7b3o$b2o2bo5bo2b2o$o2bo9bo2bo$o3b3o3b3o3bo$2b3o2b3o2b3o$5b2o3b2o$
3b2ob2ob2ob2o$4bo2bobo2bo$3bo9bo$7bobo$4bo3bo3bo$3bobo2bo2bobo$3b2ob2o
b2ob2o$4b2obobob2o$2b3ob2ob2ob3o$b3o9b3o$bo6bo6bo$7bobo2$8bo$3b2o2bo$
2b2obobo$2b2ob2obo$5b2o$5b2obo3$6b3o$7bo2$4b3ob3o$4bob3obo2$3b2obobob
2o$7bo$4bobobobo$5b5o$4bobobobo!
Found by ikpx2
c/4:

Code: Select all

x = 12, y = 35, rule = B3-kq4j5k6/S2-i35ai6k
3b3o3b3o$3bob2ob2obo$4bobobobo$5b5o2$6b3o$5bo3bo2$6bobo$5bob2o$7b2o$3b
2ob2o$5bo$3b3o$4bo$4bo$3b3o2$6bo$3b4o$4b3o$3b2o$3b2o2$2b3o$2o2bo$3o$b
obo$b3o$b2o$2bobo$2b3o$2b4o$3bobo$4bo!

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
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TheWayOfTheCon
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by TheWayOfTheCon »

TheWayOfTheCon wrote: September 8th, 2026, 12:33 pm p350 c/6o loop. Took me a while to figure out how to phase it, so I'm not adamant about constructing a c/3d loop.

Code: Select all

x = 37, y = 52, rule = R2,C2,S4,6-9,20,B7-9,18
6b3o19b3o$6b4o17b4o$5b2o2b2o15b2o2b2o$6bo2b2o15b2o2bo$7bob2o15b2obo$2b
o5b3o15b3o5bo$4o3b2o19b2o3b4o$2o2bob2o21b2obo2b2o$2o3b2o23b2o3b2o$b5o
25b5o$2b4o25b4o12$17b3o$16bo3bo$16bo3bo$17b3o$17b3o15$5b3o21b3o$4b4o21b
4o$3b2o2b2o19b2o2b2o$3b2o2bo21bo2b2o$3b2obo23bob2o$3b3o5bo13bo5b3o$5b
2o3b4o9b4o3b2o$6b2obo2b2o9b2o2bob2o$7b2o3b2o9b2o3b2o$8b5o11b5o$8b4o13b
4o!
I could've chose a better username, but oh well.

Still learning the ropes of cellular automata, focused on one OCA at a time. My current interest is B35/S126 and range-two LTLs.
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NNlk05
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by NNlk05 »

Very cursed 10c/30 QB ship:

Code: Select all

x = 4, y = 7, rule = B2n3-k4ekq5jk6ace/S23-cek4ty5ekry6i8
2o$2bo$3bo$3bo$3bo$2bo$2o!
Another, 9c/29

Code: Select all

x = 4, y = 7, rule = B2n3-k4ekt5kr6c/S23-ce4tz5ek6e
2o$2bo$3bo$3bo$3bo$2bo$2o!
Feci quod potui, faciant meliora potentes.

Code: Select all

x = 10, y = 3, rule = B34twz/S23
b2o4b2o$obo4bobo$2bo4bo!
[[ AUTOSTART AUTOHIDEGUI TRACK 0 -47/270 ZOOM 4 GPS 45 STEP 3 THEME BOOK ]]
https://nnlk05.github.io

=3
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