Search found 294 matches

by Layz Boi
May 2nd, 2026, 3:05 pm
Forum: Other Cellular Automata
Topic: Oscillators in Life-like cellular automata
Replies: 46
Views: 12722

Re: Oscillators in Life-like cellular automata


#C works in B26(78)/S168
x = 60, y = 60, rule = B26/S168
3bo5bo10bo5bo$5bo18bo$6bobo12bobo$3bo5bobo6bobo5bo$3o9bob2obo9b3o$b2o
5bo12bo5b2o$b2o24b2o$b3o10b2o10b3o$b4o8b2o14bo2bo$b4o$2b3o26bo$3b2o9b
2o14bo$3b2o12bo$3b3o3bo2bo4b2o8bo2bo$3b4o2b4obo11b2o2bo$3b4o3b3obo4bo
3bo2bo$3b3o5bobob2o2bo2b2o6bo ...
by Layz Boi
February 22nd, 2026, 3:48 pm
Forum: Other Cellular Automata
Topic: Spaceships in Life-like cellular automata
Replies: 956
Views: 311424

Re: Spaceships in Life-like cellular automata

C/3 in B357(8)/S1(78):
x = 70, y = 34, rule = B357/S1
12bo$11bo$6b3obo2bo2bo8b2o$3bo11bo8b2o2b2obobo$2b3ob4obo3bob2ob3obo5bo
bob2o$b2o2bo3b2ob2o6b3obobo10b2o10bo6bo$2o4bo2bob3ob2o7b2obo9bo2bo7bo
3bobo2b2o$o5b2o3bo13b2o21bo2b2o3bob3o4bo$o2b2o4b2o15bo10b4o5bo2b3obo2b
2o3bobobob3o ...
by Layz Boi
February 15th, 2026, 7:48 pm
Forum: Other Cellular Automata
Topic: Thread for your corderization requests
Replies: 558
Views: 103340

Re: Thread for your corderization requests


Could anyone reduce it please? It's too long
...


I wasn't sure what was supposed to be preserved. I assumed that exact front end and maybe the rake on the right side? I'm still not sure.
x = 297, y = 1625, rule = B3-cnqy4j5ce7c/S2-ci3-aky4einrtz5a6cn
32b3ob3o$32bobobobo$31bo2bobo2bo$31b3o3b3o ...
by Layz Boi
February 15th, 2026, 3:47 pm
Forum: Other Cellular Automata
Topic: Which Life-like CA have been proven omniperiodic?
Replies: 19
Views: 6057

Re: Which Life-like CA have been proven omniperiodic?


# Rule 150: B2(78)/S(0)1(24)5(6)78
x=16, y=12, rule=B2/S1578
4bo6bo$5b6o$2bob8obo$3b10o$ob2o8b2obo$b3o3b2o3b3o$b3o3b2o3b3o$ob2o8b2obo$3b10o$2bob8obo$5b6o$4bo6bo!


Here's a Rule 150 emulator for B2(78)/S(0)1(24)5(6)7(8) which subsumes the rules that one works in.
x = 42, y = 16, rule = B2/S157 ...
by Layz Boi
February 6th, 2026, 5:57 pm
Forum: Other Cellular Automata
Topic: Oscillators in Life-like cellular automata
Replies: 46
Views: 12722

Re: Oscillators in Life-like cellular automata

Here are some oscillators I found through the past few weeks>:

x = 19, y = 19, rule = B2456/S127
7b5o$6b2obob2o$3b3o7b3o$2b4ob5ob4o$2b4obobobob4o$2b3o4bo4b3o$bo4b3ob3o
4bo$2ob2ob2obob2ob2ob2o$o2bo2bobobobo2bo2bo$2ob3obobobob3ob2o$o2bo2bob
obobo2bo2bo$2ob2ob2obob2ob2ob2o$bo4b3ob3o4bo$2b3o4bo4b3o ...
by Layz Boi
January 31st, 2026, 10:30 pm
Forum: Other Cellular Automata
Topic: B3/S345
Replies: 51
Views: 46856

Re: B3/S345

Some things I discovered & built 30 January 2026:

P64 c/2 gun:

x = 186, y = 68, rule = B3/S345
89b2ob2ob2o$89b8o$91bo2bo7$5b2o74b2o20b2o74b2o$5b2o74b2o20b2o74b2o$6b
2o72b2o22b2o72b2o$6bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo ...
by Layz Boi
March 18th, 2025, 12:31 am
Forum: Other Cellular Automata
Topic: Spaceships in Life-like cellular automata
Replies: 956
Views: 311424

Re: Spaceships in Life-like cellular automata

c/9d in B345/S567:

x = 118, y = 118, rule = B345/S567
6bo$4bobobo$2bo2bob2obobo$3b3obo2bobobo$bob4o3b2obo2bo$2b3o2bo3b3o2bo$
2o2bob3o2b4o3bo$2b2ob2ob4o2bobobo$b2o3b2o5b2obo3bo$7bob8o$2b3o2bobobob
o2bob4o$4b4ob3obob4obob2o$2b2ob2o2bo5b5o$4b3ob4ob4obob2o2b2o$3bo2b4o3b
o2bo3bo5bo$9bob3ob2o3b2obo2bo ...
by Layz Boi
March 17th, 2025, 11:02 am
Forum: Other Cellular Automata
Topic: Calthrops(B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7c)
Replies: 21
Views: 1601

Re: Calthrops(B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7c)

P34+18n:

x = 79, y = 15, rule = B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7c
bo7bo10bo7bo11bo7bo14bo7bo$obo5bobo8bobo5bobo9bobo5bobo12bobo5bobo$bo
7bo10bo7bo11bo7bo14bo7bo$5b2o$6bo41bo22bo$4b3o41bobo20bobo$5bo18bobo20b
2o21b2o$25b2o21b4o19b4o$25b2o$bo7bo13bobo$obo5bobo11bo7bo$bo7bo11bobo ...
by Layz Boi
March 14th, 2025, 9:04 pm
Forum: Other Cellular Automata
Topic: Thread for your corderization requests
Replies: 558
Views: 103340

Re: Thread for your corderization requests


this pls
x = 5, y = 3, rule = R2,C2,S6-11,B9-11,NW1000103330030300333010001
2bo$b3o$2o!



4-engine (not optimized):

x = 126, y = 38, rule = R2,C2,S6-11,B9-11,NW1000103330030300333010001
24bo$23bobo$22bo3bo$22b3obo$21b2o2b3o$22b2obo$23bo8bo5bo4b2o$20b2o9b2o
3b3o4bobo$4bo15b2o8bobo3b2o7bo39bo ...
by Layz Boi
March 13th, 2025, 10:03 am
Forum: Other Cellular Automata
Topic: Thread for basic non-CGOL questions
Replies: 1688
Views: 480986

Re: Thread for basic non-CGOL questions


Are there any outer-totalistic cellular automata that have a very common (basically, within 1/10 or so of the frequency of the glider) spaceship other than the glider? Isotropic non-totalistic has plenty of these, but I haven't noticed any in OTL (though jellyfish is close)


I don't have a ...
by Layz Boi
March 12th, 2025, 10:05 am
Forum: Other Cellular Automata
Topic: List of the Turing-complete totalistic life-like CA
Replies: 146
Views: 135512

Re: List of the Turing-complete totalistic life-like CA

edit:
Since they are too big to fit in this comment otherwise. I put the one-time-use fuse-based W110 unit strips I made, on a text file attachment (starting configuration is 00111010):
W110 fuses.txt
Some of them work without exploding, in rules that are known to have ships. So while unlikely ...
by Layz Boi
March 6th, 2025, 6:12 pm
Forum: Other Cellular Automata
Topic: Spaceships in Life-like cellular automata
Replies: 956
Views: 311424

Re: Spaceships in Life-like cellular automata

Some miscellaneous ships I found. Some may be known or larger than known. Because I hadn't checked the database prior to starting the searches.

2c/5o:

x = 46, y = 17, rule = B35/S25678
6b2o$6b4o7b2o5bo$3b4obobobo3bobo3b2o$2b3o5bob4o4b2obo$b6o5b3ob2obo16b
4o$o2b2o5bobo9bo8b2o6bo ...
by Layz Boi
March 6th, 2025, 5:14 pm
Forum: Other Cellular Automata
Topic: Miscellaneous Discoveries in Other Cellular Automata
Replies: 5396
Views: 1334955

Re: Miscellaneous Discoveries in Other Cellular Automata


cross posting from discord
x = 1121, y = 914, rule = R4,C10,S3-5,B3,N@080402000e7000402010
446$240.A$240.A$240.A$240.A$240.A$240.A$240.A$240.A$240.A$240.A$240.D
$240.D$240.A$240.C$240.C$240.A$240.G$240.G$240.A$240.A$240.A$240.A2$240.
A$240.A2$240.A2$240.A$233.A.A.A2.A$240.A2$233.A.A.A2.A ...
by Layz Boi
March 4th, 2025, 11:17 pm
Forum: Other Cellular Automata
Topic: Thread for your corderization requests
Replies: 558
Views: 103340

Re: Thread for your corderization requests


this please
x = 3, y = 4, rule = TimedLikeSeeds
BCA$B2A$B2A$.2A!


2 engines:

x = 39, y = 32, rule = TimedLikeSeeds
7.B$7.2C$6.BA2.BCB$7.A2.2CB$3B$C2A$A$.AC$.BC7.2B$9.A2CA7.B$10.2B7.ACA
$10.B2.BC5.B$9.ACA.2C$10.B3.B3$9.B$8.ACA$9.B$28.A$27.BCB$28.A6$30.CAB
$31.2A4.A$29.A2.AB2.BCB$29.BCAC4.A$31 ...
by Layz Boi
February 27th, 2025, 2:55 am
Forum: Other Cellular Automata
Topic: R and Rep Junk (B2n3ai4cr7/S1e2-c3aeir4a)
Replies: 22
Views: 5573

Re: R and Rep Junk (B2n3ai4cr7/S1e2-c3aeir4a)

AND gate and AND+ANOT gate:

x = 75, y = 69, rule = B2n3ai4cr7/S1e2-c3aeir4a
4bo27bo27bo$6bo55bo$4b3o25bobo25b3o2$2o26b2o26b2o2$8bo27bo27bo$b2o5bo
b2o17b2o5bob2o17b2o5bob2o$10b2o26b2o26b2o2$b2o26b2o27bo$2bo27bo$obo25b
obo25bobo$12bo27bo27bo$12bo27bo27bo6$5bo27bo27bo$5bo27bo27bo$6bo27bo27b
o ...
by Layz Boi
February 15th, 2025, 12:37 am
Forum: Other Cellular Automata
Topic: Thread for your corderization requests
Replies: 558
Views: 103340

Re: Thread for your corderization requests


This 12c/43(?) puffer:
x = 15, y = 3, rule = B38/S234w6n
3o10bo$obo9bobo$3o10bo!



4-engine:

x = 65, y = 65, rule = B38/S234w6n
29bo11bo8bo$16b3o9bobo9bobo7bo$28bobo9bobo6bobo$15bo13bo11bo$16bo$49b
obo$50bo$20bo29bo7$4bo$2bo2bo11bo$2bo2bo10bobo18b3o$2bo2bo11bo18b2ob2o
9bo$4bo31bobobo8bobo ...
by Layz Boi
February 11th, 2025, 11:32 pm
Forum: Other Cellular Automata
Topic: List of the Turing-complete totalistic life-like CA
Replies: 146
Views: 135512

Re: List of the Turing-complete totalistic life-like CA

Wire pieces for B34/S0134V.

ANOT gate rt:27:
x = 98, y = 102, rule = B34/S0134VHistory
5.4A$6.2A$6.2A$6.2A$6.2A$6.2A$6.2A$3.A2.2A$3.5A$3.5A$3.A2.2A$6.2A2.A$
6.5A$6.5A$5.3A2.A$6.2A$6.2A$6.2A$6.2A$6.2A$6.2A$3.A2.2A$3.5A$3.5A$3.A
2.2A$6.2A2.A$6.5A$6.5A$5.3A2.A$6.2C$6.2C$6.2C$5.3C$6.2C$6.2C$6.2C$6 ...
by Layz Boi
February 8th, 2025, 1:43 am
Forum: Other Cellular Automata
Topic: Oscillators in Life-like cellular automata
Replies: 46
Views: 12722

Re: Oscillators in Life-like cellular automata

P47, P66, P80, P87, P96 and P110 in a rule that resembles Coral, but about 3/4 the density: B37/S14567

x = 140, y = 44, rule = B37/S14567
8bo3bo3bobobo18bobobo3bobobo11bobobo3bobobo9bobobo3bobobo6bobobo3bobo
bo8bo4bo4bobobo2$8bo3bo7bo18bo7bo15bo3bo3bo3bo9bo3bo7bo6bo3bo3bo12bo4b
o4bo3bo2 ...
by Layz Boi
February 8th, 2025, 1:24 am
Forum: Other Cellular Automata
Topic: B3/S345
Replies: 51
Views: 46856

Re: B3/S345

A few oscillators that aren't (entirely) billiard tables, nor are they xor-based: periods {3, 7, 11, 14, 17, 25, 29}


x = 153, y = 58, rule = B3/S345
3bobobo15bobobo16bo7bo12bo3bo3bo13bo3bobobo16bobobo3bobobo12bobobo3bo
bobo2$7bo19bo16bo7bo12bo3bo3bo13bo7bo20bo3bo20bo3bo3bo2$5bobo19bo16bo ...
by Layz Boi
February 7th, 2025, 11:28 pm
Forum: Other Cellular Automata
Topic: Thread for basic non-CGOL questions
Replies: 1688
Views: 480986

Re: Thread for basic non-CGOL questions


Can someone please help me fix the parity mismatch for this XOR gate? The top-center OR gate has to be compatible with both bottom and right inputs.


I hope this is what you needed. Changes surrounded in red.
Note it does add some delay.

x = 73, y = 78, rule = B2a3i/S12History
64.9D$64.D7.D ...
by Layz Boi
February 6th, 2025, 3:55 am
Forum: Other Cellular Automata
Topic: B3acij4ce/s234-aw
Replies: 96
Views: 26312

Re: B3acij4ce/s234-aw

90-degree reflector for the common c/4d, minimum repeat time:18

x = 19, y = 19, rule = B3acij4ce/S234-aw
$3b2o2b2o$3bo4bo$4b3o$3b2obo5$8b3o$8b3o$7bo$8bo$14bo$12b2obo$12b2o$12b
2o!


c/4d to c/2 converter: minimum repeat time: 51

x = 27, y = 29, rule = B3acij4ce/S234-aw
23b2o$23b2o$23b2obo ...
by Layz Boi
October 23rd, 2024, 8:41 am
Forum: Other Cellular Automata
Topic: Oscillators in Life-like cellular automata
Replies: 46
Views: 12722

Re: Oscillators in Life-like cellular automata

Some small oscillators in a few miscellaneous rules. Period 2 oscillators omited for some. Many may already be known.

B3/S012: P(3-6, 8, 10)

x = 120, y = 109, rule = B3/S012
57bo2bo10bobo22bo$6bobo40bo6bo4bo7bo5bo19bobo$18bobo16bo11bo6b6o6bo2b
obo2bo8bobo7bo2bo$9bo17bob2o16bobobo44b3o ...
by Layz Boi
October 19th, 2024, 1:13 am
Forum: Other Cellular Automata
Topic: Oscillators in Life-like cellular automata
Replies: 46
Views: 12722

Re: Oscillators in Life-like cellular automata

Some uninteresting, non-adjustable, billiard table oscillators in B3567/S23458. They were trivial to build in this rule, and are a dime a dozen. Their periods aren't very high, and none of them are asymmetric, because I didn't have the patience to wait for high periods to get detected.
Periods: 1522 ...
by Layz Boi
July 12th, 2024, 2:11 pm
Forum: Other Cellular Automata
Topic: Spaceships in Life-like cellular automata
Replies: 956
Views: 311424

Re: Spaceships in Life-like cellular automata

A massive 2c/2, I expect there are smaller ships in this rule.

x = 695, y = 37, rule = B23578/S1467
685bo$16bo2bo3bo6bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo ...
by Layz Boi
July 2nd, 2024, 11:13 am
Forum: Other Cellular Automata
Topic: Miscellaneous Discoveries in Other Cellular Automata
Replies: 5396
Views: 1334955

Re: Miscellaneous Discoveries in Other Cellular Automata

Two rules: B346/S2567 and B367/S14567 I thought were interesting (for non-b0, Life-like OT rules that is). Because inside the expanding blobs, it's something between stable like Maze or Coral, and highly volatile chaos like Gems or 34-Life.

Smallest(by pop) explosion seed I know of:

x = 7, y = 2 ...