## Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
confocaloid
Posts: 3145
Joined: February 8th, 2022, 3:15 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

iddi01 wrote:
March 25th, 2024, 6:27 am
[...]
Something i can't classify, posted by @otismo:

Code: Select all

``````x = 11, y = 13, rule = B35cj6ce7/S34-cry5-jnr6ci78
5\$5bo\$4b3o\$5bo!
#C [[ STEP 32 ]]
``````
[...]
I believe the same pattern was posted earlier by toroidalet:
toroidalet wrote:
December 18th, 2017, 7:53 pm
One of those "factories" you commonly see in ExtendedLife-like rules:

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``````x = 3, y = 3, rule = B35cj6ce7/S34-cry5-jnr6ci78
bo\$3o\$bo!
``````
I think it could be described as a "novelty generator" or a "chaos factory". In this case, there is an interplay between several factors:
o high symmetry causes activity not observed for asymmetric seeds in general
o there are sufficiently common orthogonal spaceships of different speeds, causing propagation of chaos (for example, see T = 15000...17000 when a faster spaceship collides with a slower spaceship in the same direction)
o the central "engine" does not appear to have any common low-period orbits (where it could settle)

One interesting thing to do is to track repetitions in the central part. For example, the central 7x7 square from T = 66 repeats completely at T = 147, 429, 502, 562, 580, 643, 689, 780, 805, 845, 908, 971, ...

Code: Select all

``````x = 3, y = 3, rule = B35cj6ce7/S34-cry5-jnr6ci78
bo\$3o\$bo!
#C [[ ZOOM 4 T 66 PAUSE 1 T 147 PAUSE 1 T 429 PAUSE 1 T 502 PAUSE 1 T 562 PAUSE 1 T 580 PAUSE 1 T 643 PAUSE 1 T 689 PAUSE 1 T 780 PAUSE 1 T 805 PAUSE 1 T 845 PAUSE 1 T 908 PAUSE 1 T 971 PAUSE 1 ]]
``````
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

Mathemagician314
Posts: 125
Joined: November 15th, 2023, 3:15 pm
Location: Toroidal Universe MKA-84

### Re: Miscellaneous Discoveries in Other Cellular Automata

Okay, this rule has a lot of cool stuff; first, a (3,1)c/44 camelship:

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``````x = 4, y = 5, rule = B2-ac3-akr/S1c2eik3-eir4r8
b3o\$o\$o\$b2o\$3bo!
``````
In addition, there are c/2 orthogonal, 4c/20 orthogonal, 8c/38 orthogonal, and c/4 diagonal spaceships:

Code: Select all

``````x = 60, y = 13, rule = B2-ac3-akr/S1c2eik3-eir4r8
4ob4o9b2o34bo\$o7bo9b2o2bo12bo7bo11bo\$3b3o12b2o2bobo9bo9bo\$18b2o2bo2bo
7bo11bo9b2o\$23bo10bo9bo11bobo\$35bo7bo15bo5\$42bo\$41bobo\$42bo!
``````
There are two common yet unrelated p14 oscillators:

Code: Select all

``````x = 14, y = 7, rule = B2-ac3-akr/S1c2eik3-eir4r8
11b2o\$2o9b2o\$obo8b2o\$bobo\$2bobo7b2o\$3b2o7b2o\$12b2o!
``````
There are plenty of oscillators (periods known are p2, p4, p6, p14, p16, p18, p20); here's two (boring) RRO's:

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``````x = 17, y = 5, rule = B2-ac3-akr/S1c2eik3-eir4r8
bo12bo\$obo10bo2bo\$3bo\$3bo12bo\$2bo12bo!
``````
(And an extendable p2 phoenix for fun:)

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``````x = 33, y = 3, rule = B2-ac3-akr/S1c2eik3-eir4r8
bo5bobo5bobobo5bobobobo\$obo3bobobo3bobobobo3bobobobobo\$bo5bobo5bobobo
5bobobobo!
``````
One cool thing is the failed replicator. On its own, it evolves into four puffers:

Code: Select all

``````x = 9, y = 3, rule = B2-ac3-akr/S1c2eik3-eir4r8
o7bo\$bo5bo\$2bo3bo!
``````
The 8c/38o above is based on it. And this is all from 2000000 soups -- what else will apgsearch find? (I hope to see either new natural tech based on the failed replicator or an odd-period oscillator, but we'll see what happens.)

EDIT: I don't know if we can make any tech with this but the p18 oscillator is based on this block fuse, and it appears to be reburnable in the case of the oscillator:

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``````x = 37, y = 37, rule = B2-ac3-akr/S1c2eik3-eir4r8
b2o\$obo\$2o3\$6bo\$5bo4\$11bo\$10bo4\$16bo\$15bo4\$21bo\$20bo4\$26bo\$25bo4\$31bo
\$30bo4\$36bo\$35bo!
``````
Can we make a (28,3)c/84 spaceship??

Code: Select all

``````x = 6, y = 7, rule = B3-e4i5-a/S2-i3-a4cr5e6c
3o\$o\$o2\$5bo\$5bo\$3b3o!
[[ THEME PCA ]]
``````

Code: Select all

``````x = 6, y = 5, rule = 2-ak34/2kn3-r4aijnr5c/5
[[ THEME BLUES ]]
``````

d/dx
Posts: 159
Joined: March 22nd, 2024, 2:41 pm

### ART. JUST ART

beautiful infinite (?) aperiodic growth patern in B3/S012345678 with FOUR. CELLS!
zoom into it while it's growing, its just

GLORIOUS

you do not know how happy i am

Code: Select all

``````x = 3, y = 5, rule = B3/S012345678
obo2\$bo2\$2bo!
``````
friendship ended with lo*****le, now WIREWORLD and JVN29 are my friends

i don't use discord

cgol 2 when?

b-engine
Posts: 1656
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

### Re: ART. JUST ART

Don't make a new thread when you found a new OCA pattern. Post it here instead.
3-cell chaotic growth in the rule is also known:

Code: Select all

``````x = 3, y = 3, rule = B3/S012345678
o\$2bo\$2bo!
``````
This belongs to the Sandbox if you style the first post in the topic like this.
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dvgrn
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### Re: ART. JUST ART

b-engine wrote:
April 2nd, 2024, 7:29 am
This belongs to the Sandbox if you style the first post in the topic like this.
I figured I'd move it here since there's something to say about the "aperiodic" part that might be useful.

Running this kind of thing in Golly really helps figure out what's going to happen in the long run. In the four-cell pattern, each of the quadrants very quickly ends up being permanently independent of the other three (which is almost universally true for growing Life without death patterns, but I don't know for sure if there might be exceptions sometimes. There are certainly small temporary exceptions early on, like in the southeast quadrant of the four-cell pattern.)

In this case, even by T=60,000 the units of repetition in the three non-empty quadrants are all starting to become visible. And the same repetitive dendrite shows up in all three quadrants, as it happens.

Now, the three-cell quadratic growth that b-engine mentioned (copied from here, maybe? -- different orientation, though) is much more interesting. The southwest quadrant quickly settles into that same fast-growing repetitive dendrite again. The same dendrite also makes an appearance in the southeast quadrant, but at T=333,000 it's still competing with a parallel dendrite that doesn't seem to want to give up the fight. In the northwest and northeast quadrants things are even more exciting.

It should be possible, though maybe kind of tricky, to write a simulator script (in Golly, maybe) that monitors the growing edge in a quadrant and throws away the irrelevant part every now and then -- should be able to track the long-term behavior of those dendrites a lot further than just leaving a multi-quadrant pattern running until memory runs out.

I suppose that, given that the rule has been proven Turing-complete, not every possible quadrant is always going to settle down into respectable periodicity, no matter how long it runs -- right?

NimbleRogue
Posts: 560
Joined: January 11th, 2021, 11:48 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

b-engine wrote:
April 2nd, 2024, 7:29 am
This belongs to the Sandbox if you style the first post in the topic like this.
I Would have to agree with b-engine here that this post belongs in the sandbox thread but I do not fault d/dx for posting it as they seem to be relatively new. I do feel that if a post like this is made in the OCA thread it would best fit in the MDiOCA thread.
I have seen a bunch of random threads asking questions or posting on topics that do not meet the standards of a thread, and it could be nice to add to the forum rules to address this.
dvgrn wrote:
April 2nd, 2024, 8:24 am
I suppose that, given that the rule has been proven Turing-complete, not every possible quadrant is always going to settle down into respectable periodicity, no matter how long it runs -- right?
dvgrn poses an interesting question. Reactions in the same quadrant seem to always interact eventually interact, After the first few gens Reactions in different quadrants don't seem to interact, and the size of reactions over time does not seem to reliably increase. Because of this, I would assume that every possible starting quadrant will eventually become periodic.
I am basing this on the idea that for a pattern to be infinitely chaotic, over time the size of the active region of the pattern must tend to infinity, otherwise there would only be a finite amount of possible configurations of cells that can fit within the bounding box.

Code: Select all

``````x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo\$3o\$ob2o!
``````

Code: Select all

``````#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo\$3b4o\$ob6obo\$2b6o!
``````

iddi01
Posts: 149
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

### Re: Miscellaneous Discoveries in Other Cellular Automata

Seems to be a breeder, but i'm not sure:

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``````x = 10, y = 26, rule = B34jkw5jnq/S236c
2\$2b3o\$bo2b2o\$bo3b2o\$2b2obo17\$5b2o\$4b2o\$5b2o\$6bo!
``````
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

``````x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2\$32b3o\$32bobo\$32bobo\$32b3o27\$63b4o\$b4o58bo2bo\$bo2bo23bo4b2o28b4o\$b4o
21bobo\$28bo21\$35bo\$34b3o6\$33b3o\$33bobo\$33bobo\$33b3o!
``````

b-engine
Posts: 1656
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

### Re: Miscellaneous Discoveries in Other Cellular Automata

Code: Select all

``````x = 20, y = 4, rule = B34jkw5jnq/S236c7e
o18bo\$2o6b2ob2o\$b2o5bo3bo4b3o\$2o7b3o6bo!``````
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Mathemagician314
Posts: 125
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Location: Toroidal Universe MKA-84

### Re: Miscellaneous Discoveries in Other Cellular Automata

Extremely sparky p352 oscillator:

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``````x = 9, y = 4, rule = B2i3-kqy4eiknwyz5-eijn6a7e/S2-ak3-er4-iknry5jq6c7c
b2o3b2o\$o2bobo2bo\$o2bobo2bo\$b2o3b2o!
``````
It can form from the stairstep hexomino, making it relatively common.

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``````x = 3, y = 4, rule = B2i3-kqy4eiknwyz5-eijn6a7e/S2-ak3-er4-iknry5jq6c7c
2bo\$b2o\$2o\$o!
``````
Unfortunately, soups with dihedral symmetry seem to explode, making this rule unapgsearchable:

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``````x = 7, y = 1, rule = B2i3-kqy4eiknwyz5-eijn6a7e/S2-ak3-er4-iknry5jq6c7c
7o!
``````
Are there any non-exploding rules where the p352 works? I used the object finder on Catagolue but it didn't specify a range of rules -- does that mean the oscillator is isotropically endemic?
Can we make a (28,3)c/84 spaceship??

Code: Select all

``````x = 6, y = 7, rule = B3-e4i5-a/S2-i3-a4cr5e6c
3o\$o\$o2\$5bo\$5bo\$3b3o!
[[ THEME PCA ]]
``````

Code: Select all

``````x = 6, y = 5, rule = 2-ak34/2kn3-r4aijnr5c/5
[[ THEME BLUES ]]
``````

Posts: 1257
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Contact:

### Re: Miscellaneous Discoveries in Other Cellular Automata

b-engine wrote:
April 4th, 2024, 5:54 pm

Code: Select all

``````x = 20, y = 4, rule = B34jkw5jnq/S236c7e
o18bo\$2o6b2ob2o\$b2o5bo3bo4b3o\$2o7b3o6bo!``````
Corderized puffer, speed is 6c/40:

Code: Select all

``````#C [[ TRACK 0 6/40 ]]
x = 69, y = 25, rule = B34jkw5jnq/S236c7e
2bob2o11bo11bo11bo11bo\$2ob3o11bo11bo11bo11bo\$3bobo11bo11bo11bo11bo\$9bo
11bo11bo11bo11bo\$9b2o10b2o10b2o10b2o10b2o7b3o\$10b2o10b2o10b2o10b2o10b
2o\$9b2o10b2o10b2o10b2o10b2o\$3o3\$66b3o3\$3o2\$12bob2o24bob2o\$10b2ob3o22b
2ob3o22b3o\$13bobo25bobo\$19bo27bo\$3o16b2o7b3o16b2o7b3o\$20b2o26b2o\$5b2o
12b2o12b2o12b2o12b2o\$5bobo25bobo25bobo\$7bo27bo27bo\$5b3o25b3o25b3o!
``````

confocaloid
Posts: 3145
Joined: February 8th, 2022, 3:15 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

Mathemagician314 wrote:
April 6th, 2024, 7:22 am
Are there any non-exploding rules where the p352 works? I used the object finder on Catagolue but it didn't specify a range of rules -- does that mean the oscillator is isotropically endemic?
The Catagolue object finder can only determine rule range / endemicity for sufficiently low periods (if I remember correctly, below p128 or so). If that succeeds, the Catagolue object page says explicitly that the object is endemic, or else shows its rule range. (See an example.) The p352 is beyond the computational limit, so no rule range computation is performed.

I checked with a script that the p352 is indeed endemic to this CA within the 2-state R1 Moore isotropic rulespace.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

Mathemagician314
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Joined: November 15th, 2023, 3:15 pm
Location: Toroidal Universe MKA-84

### Re: Miscellaneous Discoveries in Other Cellular Automata

This rule has a 5c/38o, a 2c/11d, and a p178:

Code: Select all

``````x = 46, y = 5, rule = B2e3-cqr4eiknwyz5aeiy6a7c/S2-ik3-ajry4inrtw5ainy6c7e8
b3o16b4o18b4o\$2bo20bo18bo2bo\$2ob2o15b2obo19bobo\$b3o17bobo20b2o\$2bo!
``````
Here's the catalogue; there's not a lot of other interesting stuff there, because the rule is very slow to apgsearch.
Can we make a (28,3)c/84 spaceship??

Code: Select all

``````x = 6, y = 7, rule = B3-e4i5-a/S2-i3-a4cr5e6c
3o\$o\$o2\$5bo\$5bo\$3b3o!
[[ THEME PCA ]]
``````

Code: Select all

``````x = 6, y = 5, rule = 2-ak34/2kn3-r4aijnr5c/5
[[ THEME BLUES ]]
``````

confocaloid
Posts: 3145
Joined: February 8th, 2022, 3:15 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

Mathemagician314 wrote:
April 7th, 2024, 6:57 am
[...] Here's the catalogue; there's not a lot of other interesting stuff there, because the rule is very slow to apgsearch.
Actually, apgsearch runs reasonably well (~35-40 soups/second on my system with other searches running at the same time). "Very slow" would be if you had to wait more than a day to produce a 10000-soup haul.

edit: p12 oscillator from C1:

Code: Select all

``````x = 13, y = 5, rule = B2e3-cqr4eiknwyz5aeiy6a7c/S2-ik3-ajry4inrtw5ainy6c7e8
o11bo\$bo9bo\$8bo\$3bo3b3o\$4bo3bo!
``````

d/dx
Posts: 159
Joined: March 22nd, 2024, 2:41 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

This rule, which I call "cubby 10", has a lot of notable things, like this p2 which is extensible horizontally AND vertically:

Code: Select all

``````x = 58, y = 29, rule = B3ai4a5ae7/S1e2-a3a4ar5en
6\$8bo13bo13bo2bo2bo2bo2bo\$6bob2obo8bob2obo8bob2ob2ob2ob2ob2obo\$6bob2ob
o8bob2obo8bob2ob2ob2ob2ob2obo\$8bo13bo13bo2bo2bo2bo2bo\$22bo\$20bob2obo\$
20bob2obo\$22bo\$22bo\$20bob2obo\$20bob2obo\$22bo\$22bo\$20bob2obo\$20bob2obo\$
22bo\$22bo\$20bob2obo\$20bob2obo\$22bo!
``````
friendship ended with lo*****le, now WIREWORLD and JVN29 are my friends

i don't use discord

cgol 2 when?

iddi01
Posts: 149
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

### Re: Miscellaneous Discoveries in Other Cellular Automata

Growing puffer (i don't know the actual name for this kind of thing):

Code: Select all

``````x = 9, y = 2, rule = R2,C0,S1-2,8,12,14,B6,9,NW1111112221120211222111111
4o4bo\$4o4bo!
``````
Sawtooth-ish sqrt growth alongside linear growth:

Code: Select all

``````x = 16, y = 9, rule = B2an3r4i/S1c2n
2\$bo9b2o\$2bo\$3bo3bobo4bo\$7bobo4bo2\$11b2o!
``````
Also, why isn't this thread and the Unrecognized CA thread pinned yet?
d/dx wrote:
April 9th, 2024, 3:27 pm
This rule, which I call "cubby 10", has a lot of notable things, like this p2 which is extensible horizontally AND vertically:
Horizontal and vertical is actually the same thing in isotropic rules.

edit: Looks like the two extensions are slightly different though, but people usually specify both horizontal and vertical as orthogonal.
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

``````x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2\$32b3o\$32bobo\$32bobo\$32b3o27\$63b4o\$b4o58bo2bo\$bo2bo23bo4b2o28b4o\$b4o
21bobo\$28bo21\$35bo\$34b3o6\$33b3o\$33bobo\$33bobo\$33b3o!
``````

Yoel
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Contact:

### Re: Miscellaneous Discoveries in Other Cellular Automata

Cool "semi-natural" breeder:

EDIT: The first one is, of course, natural! I mean that my modified version without the mess is "semi-natural" (using the term loosely, not in the sense of symmetry; my modification by simply adding a spaceship as an eater is likely to occur naturally).

Code: Select all

``````x = 16, y = 16, rule = B34ceit6i8/S23-a4ci6ei
bobobobbbboooboo\$
booobobobbbbobob\$
bbbbobobbbbbbboo\$
boooobbobobobboo\$
boooboooobobbboo\$
bbbooobobobbooob\$
oobbbobboboobbbo\$
oobbbbbbobooobob\$
boobobbbbbobbooo\$
booboooooboboooo\$
ooboboobobbooobo\$
obbbbbobboooobbo\$
ooobobobbooobboo\$
oboobooboboooobb\$
bobbbbboooooboob\$
obboobbobobbobbo!``````

Code: Select all

``````x = 117, y = 141, rule = B34ceit6i8/S23-a4ci6ei
34\$76b4o16b3o\$75b2o2bo6b2o10bo4b2o\$74b2o2bo7bobo7b3o3b2o\$75bo2bo6bo2bo
17bo\$76b2o5b2ob3o16b2o\$82b2o11bo\$94b3o5bo2bo\$93b2obo5bo2bo\$102b3o3\$38b
o53b2o2b2o\$38bo57b3o\$31b2o5b2ob2o55bo\$30bo2bo8b2o10bo6bo33bo2bo\$30bo2b
o7b2o8b2o42b3o\$30b2ob2o6bo10b2o\$32b2o17b2o\$64bo\$64b2o\$66bo\$62bobo2bo\$
60b3obo30bo\$61bo3bo26bo2bo\$35b2o11bo12b2o2bo26bo2bo\$33bo3bo8b4o12b3o
10bo17b3o\$31b2o13b2ob2o12bo10b3o\$31bo7bo8b2o6b2o7b3o5b2o2bo\$31bo4bo2b
2o14bob2o6bo2bo3b3o2b2o\$32bo2bob3o15bo2b2o5bob2o3bo2b3o7b2o\$38bo17b3o
7bo5bo2b2o5b2obo\$57bo7bo7b3o5bo6bo\$64b2o15bo5b2o\$64bo16b3o3bo3\$68b2o\$
66b2obo5b3o9b3o\$65bo3bo5bo2bo8bobo\$65bo2b2o5bob2o8bobo\$66b3o7bo\$67bo7b
o\$74b2o\$74bo26bo\$101bo\$101bo\$78b2o\$76b2obo5b3o9b3o\$75bo3bo5bo2bo8bobo\$
75bo2b2o5bob2o8bobo\$76b3o7bo\$77bo7bo\$84b2o\$84bo3\$88b2o\$86b2obo5b3o\$85b
o3bo5bo2bo\$85bo2b2o5bob2o\$86b3o7bo\$87bo7bo\$94b2o\$94bo3\$98b2o\$96b2obo\$
95bo3bo\$95bo2b2o\$96b3o\$97bo!``````

b-engine
Posts: 1656
Joined: October 26th, 2023, 4:11 am
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### Re: Golly scripts

iddi01 wrote:
April 13th, 2024, 9:48 am
Couldn't find such a script using forum search (seriously? it's so simple!), so i'm posting my random MAP rule generator here: Some interesting outputs:
I've runned this script and it spits these interesting output:
Growing ship:

Code: Select all

``````x = 14, y = 5, rule = MAPAAOTAcAeCkACBBXACXHCBAgAAOAHBDAAFIOCHGAIRAEDKFALEFAGAEBDOEAOAIBAKGKCIWABEADELEOCCRAcCg
12b2o\$6bobobo\$5bo6b2o\$3bo\$bo!
``````
Chaotic replicator:

Code: Select all

``````x = 2, y = 2, rule = MAPAMEIAADBEABKKsABtRRBAADNBDBBAIUAILLVQADGAFDEGJBAAMACEDBAGCEOAGFKBLIyEAJAFjDAKCBCCBEHNA
o\$bo!
``````
Wickstretcher or backrake?

Code: Select all

``````x = 3, y = 2, rule = MAPBHMBREJgUbOCACFANAQGACpCHHeIYBDAPBAIGEANfBBRQAEzAACdCQIXHCBAGGMFJAEGCFCJKgCFTBDBDDBAKA
o\$2bo!
``````
I don't know what's this:

Code: Select all

``````x = 11, y = 18, rule = MAPKAMKBFJFEFAIANOSLEFECAKANHAAfCBKEWCBLEIOAdIBACAGCLWCHLKDKBAjBJSGBOAGXEBEjGEPGFDIGDCCHA
7bo\$7b3o\$9b2o\$7b2o\$8bo9\$o\$3o\$2b2o\$2o\$bo!
``````
Growing ship:

Code: Select all

``````x = 2, y = 2, rule = MAPAKSJoHNFDAFCNFAAAKJAABAZABKOASBYKeWIMSCIAiBFFHCABADNBHEAAgFBBIAlASCMVAAACEAACBAEaDAAAA
bo\$o!
``````
I've also found out that most MAP rules it generates mostly contains B1e or B1c in some directions. Can you make a variant that don't spit B1 rules?
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hotcrystal0
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### Re: Miscellaneous Discoveries in Other Cellular Automata

This rule makes natural growing spaceships, as well as the five spaceships shown:

Code: Select all

``````x = 117, y = 50, rule = B2e3ain68/S23ceky4-i56i78
4bo2b3obob6o2bo2bo2bo2b2ob5o2b2o3bobob3ob3o\$3obo2b2o2b3o3b2o2b2o2b3o2b
5ob2o3bo3b4ob3ob2o\$o2b2o2bo5b4o2bobo2bo3bo5bobob2o3b2o4bobo2b2o\$ob3ob
5ob2o2bob3obobobobobob3o6bo2bobob2o3bob3o\$b2o3b4o5b4o2bobob2o2b2o3b2o
2b4o6bo3bob4o\$3o2b4obo2bob6o2bobob8ob2o8b3ob5o2bo\$bobo2b2o2bo4b2obo6b
2ob6obo2bo2bo2b2o2bob2o2bo\$obo4b3ob2ob3ob5o5b4obobobo2bo2bo3bob4ob3o\$
2o6bob4o3bobo4bobo2b2ob4ob2obobo2bobo2bobo2b2o\$5ob2obo2bob2obob2obobo
bo2bobo2bob2ob2obob3o4bobo3bo\$3b3o2bo2bob2ob2obob4o5bobobobobob2o2b4o
b2o2bo3bo\$2b5ob2o2b3o2bo2bobob3o3bob7o2b5o2b2ob2ob2obo\$bob2ob2ob3o3bo
2b2ob2obo3bobo4bobo2b2ob2obo2b2ob2o2bo\$3b2o4bob2o3bobo2b3o6bobo3bo2bo
bo2b3obob2o2bo2bo\$4b2ob2obo2bo6b2ob5ob2o4bo2bob2o3bob2ob4o2b2o\$bo4b2o
bo2bo2bobobobob2obo3bo2bo2bo2bo2bo5b2o3bob2o\$5o2b4o7bo2bobo2b2obo6b3o
3b2o2bob2obob4o\$o3bo4bo4bo2bo2b2ob2o2bob2o4bob4o4bo2b2obo2bo2bo\$2b2ob
obo5bob4o2b2ob3obob3ob6obobo5b3o2b2o\$2b2ob2obobo4b2ob3ob2o3b3ob3o2bo2b
obo2b2ob2o2b2obobo\$2obo4b3o3bobob6o2bobo2b3o2b2o2b2obo2bobo3bob2obo27b
3o4b3o3b4o3b4o\$3o3b3ob2ob4o5bob2obo3bo2b2o2b2o9b2obob3o28bobo4bobo3bo
2bo3bo2bo5b2o\$3b2obobo2bo5bo2bo5b2obobo3b14obobo3bo36bo12b2o5b4o\$o2bo
3b2obob2o4bob2o2bo2b3ob4o2b3ob2o6bobo40b3o10b4o7bo\$2o2bob2obobo2bo3b2o
bo3bo2bobobo5bob2o4bo2bo4b2o37bo12b2o\$ob6o3bob2obo2b2obob3ob2o2bobobo
2bob2ob3o2b2ob2o\$obob2obobobobob3ob7ob7o2b3o2bo2b2o3bob7o\$o2b8o2bob4o
2bob2obob2obo2bobobo3b2obo2b4ob2o\$ob4obobo4b2o2b3ob2o2bobo2bo3b2o2b2o
2bobob2o2b2ob3o\$2bo2b2o3bo2bob5ob5o3bob2obo2bo3bob2o4bo2b4o\$o2bobob4o
b3ob3o2b4o2b2o3b2o2bob2o5b2o2b7obo\$4o5b2ob2obo6b3o5b2ob2o2b2o3b3obo3b
o4b3o\$obo2bo2bo2bo4bo3b2o3bob2o2b7o4b2o2b3obo3bo2bo\$obo8bo2b2o7bo2bo3b
2ob2ob3o6bob2ob3o2b3o\$b2obobob2ob3obo5bo2b2obo2b2o3b3o2bobo2b2o2b2ob2o
b3o\$2bo2b2obo3bobo2bo2bobo4b2o2b2o2bo2bobo2bo5bob7o\$b3obobo2bobobo2b2o
4b2ob2o6bobo2b2obo2b4ob2ob4o\$2ob2o2b5obob2ob3obo3bob2ob2o4b2ob4ob5o2b
4o\$6bo5b2obob2ob2ob3ob2ob3obob3obobo2bob3o3bob3o\$obo2bo4bo6b2o3b3o3b8o
2bobo2bob2obo4bobo\$b3o4bo6b3obo3bobo2bobobob5o7bo3b2o\$bo2b2o3bo3bobo3b
3o2b3obo4bobo3b2ob3ob3o4b2o2bo\$2bo2b3ob2obo2b2ob2ob2o3bobob2o2bobo2bo
bo2bo2bobobob4o\$obo4b2ob5o3b2o2bo3bobob2ob2obo2bobo3b2obobobo2b2o\$o5b
3obob5ob2ob2o2bobo2bobo2bo4bo2bob4ob4o\$2ob2ob2ob2obob2o3b2obo3bo2bob2o
bobo3bo2bobo2bo2b3o\$obo3bobo2b3obobob2ob2obo2bo2b4ob3obob2o2bo2bob2o4b
o\$2b2o3b3o4bo2b3obob3o3bob2obobo2b2o2b2ob2o2bo2bob2o\$2o5bo6b3o2b2obo2b
3o6bo2b4ob3ob2o2b5o\$bo2bo2bo3bob3o2b4obobob2ob3obo2bobobobo2bo2b2o5b2o
!``````
Edit: From left to right, the spaceships are: U, Ankh, Wide U, Wide ankh, and an unnamed asymmetric c/4o.
2 U-ships colliding makes a cursed-looking P5:

Code: Select all

``````x = 4, y = 20, rule = B2e3ain68/S23ceky4-i56i78
bobo\$b3o17\$3o\$obo!``````

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!``````

b-engine
Posts: 1656
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

### Re: Miscellaneous Discoveries in Other Cellular Automata

After I knew how to use LLS, I've ran searches for the fastest oblique spaceships:

(3,1)c/4:

Code: Select all

``````x = 3, y = 5, rule = B2ace3ae4acejqwy5-ijnr6-a78/S2-ai3iknry4-akqy5-aekr6-a78
2bo2\$3o\$2bo\$bo!
``````
(4,1)c/5

Code: Select all

``````x = 4, y = 6, rule = B2-kn3jknq4aejknrt5ej6ck/S2-e3-eijk4jknwz5jq6aen7e
3bo\$o\$3bo\$b3o\$2bo\$2bo!
``````
(3,2)c/5

Code: Select all

``````x = 3, y = 4, rule = B2-e3aqy4ctyz5-ar6ekn7e/S1e2cei3-ekn4acejknq5ackqy6-ek7c8
2bo\$bo\$2bo\$obo!
``````
(5,1)c/6:

Code: Select all

``````x = 3, y = 7, rule = B2ac3cy4aciqr5-ij6-ek7e8/S1c2aek3akq4aikryz5-ackr6eik7e8
2bo\$bo\$2bo\$o\$b2o\$b2o\$o!
``````

Who had an idea of turning SAT solvers into CA searching programs, I would want to give the ownership of these ships to him.
My rules
-
100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:
-
Warning: Do not add my new rules to LifeWiki without permission.

Mathemagician314
Posts: 125
Joined: November 15th, 2023, 3:15 pm
Location: Toroidal Universe MKA-84

### Re: Miscellaneous Discoveries in Other Cellular Automata

Anybody with a faster computer than me want to help apgsearch this rule? I experimented with the rule B34j/S23-a4a, which I believe has been explored by some others before, and found a rule with some other cool natural patterns; B34j8/S23-a4acet6i8. It has a natural p112, 4c/42d, 2c/16d, and a p272 gun as well as a 2c/24o and an oblique (3,8)c/22 puffer (shown below in Cordership form) which were both in the original rule:

Code: Select all

``````x = 139, y = 16, rule = B34j8/S23-a4acet6i8
4bo42b4o29bo23b3o13b2o14b2o\$2b2ob2o39bo4bo27b3o24bo10b4o14bo\$bo5bo38b
2o2b2o26b2o2bo22bo10bo2bo15bo2bo\$b2obob2o70bo3bo33b2o18b3o\$3bobo72bob
2o\$2o5b2o69b2o\$o7bo\$o7bo2\$82bo\$72bo9bo\$71b3o8bo\$70b2o2bo\$70bo3bo\$70bob
2o\$70b2o!
``````

Code: Select all

``````x = 19, y = 29, rule = B34j8/S23-a4acet6i8
11bo\$9bo2b3o\$9bo2bob3o\$9bo2b3o3bo\$9b2o5bobo\$18bo\$12b2o4bo\$15b3o7\$17b2o
\$16bobo\$17bo\$2bo\$bobo\$2b2o2\$6b3ob2o\$5b6ob2o\$5b2o\$8b5o2bo\$bo9b2o\$bo6b3o
4bo\$bo13bo\$12b3o!
``````
(A stable glider eater would be nice as well, so we can make the gun an oscillator.)

Also, here's a rule with some cool spaceships and a p40 osc.
Can we make a (28,3)c/84 spaceship??

Code: Select all

``````x = 6, y = 7, rule = B3-e4i5-a/S2-i3-a4cr5e6c
3o\$o\$o2\$5bo\$5bo\$3b3o!
[[ THEME PCA ]]
``````

Code: Select all

``````x = 6, y = 5, rule = 2-ak34/2kn3-r4aijnr5c/5
[[ THEME BLUES ]]
``````

hotcrystal0
Posts: 2370
Joined: July 3rd, 2020, 5:32 pm
Location: United States

### Re: Miscellaneous Discoveries in Other Cellular Automata

confocaloid wrote:
April 16th, 2024, 8:16 am

And here is an implementation of the above pseudocode for n_states = 64:

Code: Select all

``````x = 3, y = 3, rule = test_CloudLife64
.A\$.2A\$2A!

@RULE test_CloudLife64

https://conwaylife.com/forums/viewtopic.php?p=182756#p182756

@TABLE
ruletable
``````
P260 from soup:

Code: Select all

``````x = 23, y = 18, rule = test_CloudLife64
.2A2.3A.A3.A.A.A.A\$.A4.A2.2A.2A.4A\$A.A3.7A3.2A\$2.4A.3A.A2.A.A5.A\$.2A2.
A4.4A2.2A.2A.A\$A.2A2.2A2.2A.A3.3A2.A\$A.2A2.A.A2.5A4.A\$.5A.3A3.2A2.5A\$
3.5A3.2A2.A2.3A.A\$2.5A2.2A7.A\$.2A2.A3.5A2.A3.3A\$A.3A.3A.3A3.4A.2A\$7A.
3A.A3.A\$.2A2.A2.A2.4A2.A.A.A\$2.2A.A.6A2.2A.A2.2A\$2.A.A2.A8.A.A.A.A\$2.
A.2A2.A3.A.A.2A.A.2A\$2.2A.A.2A2.A3.7A!
@RULE test_CloudLife64
https://conwaylife.com/forums/viewtopic.php?p=182756#p182756
@TABLE
n_states:64
neighborhood:Moore
symmetries:permute
var x0 = { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63 }
var x1 = x0
var x2 = x0
var x3 = x0
var x4 = x0
var x5 = x0
var x6 = x0
var x7 = x0
var x8 = x0
var a1 = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62 }
var a2 = a1
var a3 = a1
var b = { 63 }
# birth rules:
0,   b,   0,   0,   0,   0,   0,   0,   0,    1    # one maximum-age alive cell
0,  a1,  a2,  a3,   0,   0,   0,   0,   0,    1    # three non-maximum-age alive cells
# survival rules:
1,   b,   0,   0,   0,   0,   0,   0,   0,    2    # one maximum-age alive cell
1,  a1,  a2,  a3,   0,   0,   0,   0,   0,    2    # three non-maximum-age alive cells
1,  a1,  a2,   0,   0,   0,   0,   0,   0,    2    # two non-maximum-age alive cells
2,   b,   0,   0,   0,   0,   0,   0,   0,    3    # one maximum-age alive cell
2,  a1,  a2,  a3,   0,   0,   0,   0,   0,    3    # three non-maximum-age alive cells
2,  a1,  a2,   0,   0,   0,   0,   0,   0,    3    # two non-maximum-age alive cells
3,   b,   0,   0,   0,   0,   0,   0,   0,    4    # one maximum-age alive cell
3,  a1,  a2,  a3,   0,   0,   0,   0,   0,    4    # three non-maximum-age alive cells
3,  a1,  a2,   0,   0,   0,   0,   0,   0,    4    # two non-maximum-age alive cells
4,   b,   0,   0,   0,   0,   0,   0,   0,    5    # one maximum-age alive cell
4,  a1,  a2,  a3,   0,   0,   0,   0,   0,    5    # three non-maximum-age alive cells
4,  a1,  a2,   0,   0,   0,   0,   0,   0,    5    # two non-maximum-age alive cells
5,   b,   0,   0,   0,   0,   0,   0,   0,    6    # one maximum-age alive cell
5,  a1,  a2,  a3,   0,   0,   0,   0,   0,    6    # three non-maximum-age alive cells
5,  a1,  a2,   0,   0,   0,   0,   0,   0,    6    # two non-maximum-age alive cells
6,   b,   0,   0,   0,   0,   0,   0,   0,    7    # one maximum-age alive cell
6,  a1,  a2,  a3,   0,   0,   0,   0,   0,    7    # three non-maximum-age alive cells
6,  a1,  a2,   0,   0,   0,   0,   0,   0,    7    # two non-maximum-age alive cells
7,   b,   0,   0,   0,   0,   0,   0,   0,    8    # one maximum-age alive cell
7,  a1,  a2,  a3,   0,   0,   0,   0,   0,    8    # three non-maximum-age alive cells
7,  a1,  a2,   0,   0,   0,   0,   0,   0,    8    # two non-maximum-age alive cells
8,   b,   0,   0,   0,   0,   0,   0,   0,    9    # one maximum-age alive cell
8,  a1,  a2,  a3,   0,   0,   0,   0,   0,    9    # three non-maximum-age alive cells
8,  a1,  a2,   0,   0,   0,   0,   0,   0,    9    # two non-maximum-age alive cells
9,   b,   0,   0,   0,   0,   0,   0,   0,    10    # one maximum-age alive cell
9,  a1,  a2,  a3,   0,   0,   0,   0,   0,    10    # three non-maximum-age alive cells
9,  a1,  a2,   0,   0,   0,   0,   0,   0,    10    # two non-maximum-age alive cells
10,   b,   0,   0,   0,   0,   0,   0,   0,    11    # one maximum-age alive cell
10,  a1,  a2,  a3,   0,   0,   0,   0,   0,    11    # three non-maximum-age alive cells
10,  a1,  a2,   0,   0,   0,   0,   0,   0,    11    # two non-maximum-age alive cells
11,   b,   0,   0,   0,   0,   0,   0,   0,    12    # one maximum-age alive cell
11,  a1,  a2,  a3,   0,   0,   0,   0,   0,    12    # three non-maximum-age alive cells
11,  a1,  a2,   0,   0,   0,   0,   0,   0,    12    # two non-maximum-age alive cells
12,   b,   0,   0,   0,   0,   0,   0,   0,    13    # one maximum-age alive cell
12,  a1,  a2,  a3,   0,   0,   0,   0,   0,    13    # three non-maximum-age alive cells
12,  a1,  a2,   0,   0,   0,   0,   0,   0,    13    # two non-maximum-age alive cells
13,   b,   0,   0,   0,   0,   0,   0,   0,    14    # one maximum-age alive cell
13,  a1,  a2,  a3,   0,   0,   0,   0,   0,    14    # three non-maximum-age alive cells
13,  a1,  a2,   0,   0,   0,   0,   0,   0,    14    # two non-maximum-age alive cells
14,   b,   0,   0,   0,   0,   0,   0,   0,    15    # one maximum-age alive cell
14,  a1,  a2,  a3,   0,   0,   0,   0,   0,    15    # three non-maximum-age alive cells
14,  a1,  a2,   0,   0,   0,   0,   0,   0,    15    # two non-maximum-age alive cells
15,   b,   0,   0,   0,   0,   0,   0,   0,    16    # one maximum-age alive cell
15,  a1,  a2,  a3,   0,   0,   0,   0,   0,    16    # three non-maximum-age alive cells
15,  a1,  a2,   0,   0,   0,   0,   0,   0,    16    # two non-maximum-age alive cells
16,   b,   0,   0,   0,   0,   0,   0,   0,    17    # one maximum-age alive cell
16,  a1,  a2,  a3,   0,   0,   0,   0,   0,    17    # three non-maximum-age alive cells
16,  a1,  a2,   0,   0,   0,   0,   0,   0,    17    # two non-maximum-age alive cells
17,   b,   0,   0,   0,   0,   0,   0,   0,    18    # one maximum-age alive cell
17,  a1,  a2,  a3,   0,   0,   0,   0,   0,    18    # three non-maximum-age alive cells
17,  a1,  a2,   0,   0,   0,   0,   0,   0,    18    # two non-maximum-age alive cells
18,   b,   0,   0,   0,   0,   0,   0,   0,    19    # one maximum-age alive cell
18,  a1,  a2,  a3,   0,   0,   0,   0,   0,    19    # three non-maximum-age alive cells
18,  a1,  a2,   0,   0,   0,   0,   0,   0,    19    # two non-maximum-age alive cells
19,   b,   0,   0,   0,   0,   0,   0,   0,    20    # one maximum-age alive cell
19,  a1,  a2,  a3,   0,   0,   0,   0,   0,    20    # three non-maximum-age alive cells
19,  a1,  a2,   0,   0,   0,   0,   0,   0,    20    # two non-maximum-age alive cells
20,   b,   0,   0,   0,   0,   0,   0,   0,    21    # one maximum-age alive cell
20,  a1,  a2,  a3,   0,   0,   0,   0,   0,    21    # three non-maximum-age alive cells
20,  a1,  a2,   0,   0,   0,   0,   0,   0,    21    # two non-maximum-age alive cells
21,   b,   0,   0,   0,   0,   0,   0,   0,    22    # one maximum-age alive cell
21,  a1,  a2,  a3,   0,   0,   0,   0,   0,    22    # three non-maximum-age alive cells
21,  a1,  a2,   0,   0,   0,   0,   0,   0,    22    # two non-maximum-age alive cells
22,   b,   0,   0,   0,   0,   0,   0,   0,    23    # one maximum-age alive cell
22,  a1,  a2,  a3,   0,   0,   0,   0,   0,    23    # three non-maximum-age alive cells
22,  a1,  a2,   0,   0,   0,   0,   0,   0,    23    # two non-maximum-age alive cells
23,   b,   0,   0,   0,   0,   0,   0,   0,    24    # one maximum-age alive cell
23,  a1,  a2,  a3,   0,   0,   0,   0,   0,    24    # three non-maximum-age alive cells
23,  a1,  a2,   0,   0,   0,   0,   0,   0,    24    # two non-maximum-age alive cells
24,   b,   0,   0,   0,   0,   0,   0,   0,    25    # one maximum-age alive cell
24,  a1,  a2,  a3,   0,   0,   0,   0,   0,    25    # three non-maximum-age alive cells
24,  a1,  a2,   0,   0,   0,   0,   0,   0,    25    # two non-maximum-age alive cells
25,   b,   0,   0,   0,   0,   0,   0,   0,    26    # one maximum-age alive cell
25,  a1,  a2,  a3,   0,   0,   0,   0,   0,    26    # three non-maximum-age alive cells
25,  a1,  a2,   0,   0,   0,   0,   0,   0,    26    # two non-maximum-age alive cells
26,   b,   0,   0,   0,   0,   0,   0,   0,    27    # one maximum-age alive cell
26,  a1,  a2,  a3,   0,   0,   0,   0,   0,    27    # three non-maximum-age alive cells
26,  a1,  a2,   0,   0,   0,   0,   0,   0,    27    # two non-maximum-age alive cells
27,   b,   0,   0,   0,   0,   0,   0,   0,    28    # one maximum-age alive cell
27,  a1,  a2,  a3,   0,   0,   0,   0,   0,    28    # three non-maximum-age alive cells
27,  a1,  a2,   0,   0,   0,   0,   0,   0,    28    # two non-maximum-age alive cells
28,   b,   0,   0,   0,   0,   0,   0,   0,    29    # one maximum-age alive cell
28,  a1,  a2,  a3,   0,   0,   0,   0,   0,    29    # three non-maximum-age alive cells
28,  a1,  a2,   0,   0,   0,   0,   0,   0,    29    # two non-maximum-age alive cells
29,   b,   0,   0,   0,   0,   0,   0,   0,    30    # one maximum-age alive cell
29,  a1,  a2,  a3,   0,   0,   0,   0,   0,    30    # three non-maximum-age alive cells
29,  a1,  a2,   0,   0,   0,   0,   0,   0,    30    # two non-maximum-age alive cells
30,   b,   0,   0,   0,   0,   0,   0,   0,    31    # one maximum-age alive cell
30,  a1,  a2,  a3,   0,   0,   0,   0,   0,    31    # three non-maximum-age alive cells
30,  a1,  a2,   0,   0,   0,   0,   0,   0,    31    # two non-maximum-age alive cells
31,   b,   0,   0,   0,   0,   0,   0,   0,    32    # one maximum-age alive cell
31,  a1,  a2,  a3,   0,   0,   0,   0,   0,    32    # three non-maximum-age alive cells
31,  a1,  a2,   0,   0,   0,   0,   0,   0,    32    # two non-maximum-age alive cells
32,   b,   0,   0,   0,   0,   0,   0,   0,    33    # one maximum-age alive cell
32,  a1,  a2,  a3,   0,   0,   0,   0,   0,    33    # three non-maximum-age alive cells
32,  a1,  a2,   0,   0,   0,   0,   0,   0,    33    # two non-maximum-age alive cells
33,   b,   0,   0,   0,   0,   0,   0,   0,    34    # one maximum-age alive cell
33,  a1,  a2,  a3,   0,   0,   0,   0,   0,    34    # three non-maximum-age alive cells
33,  a1,  a2,   0,   0,   0,   0,   0,   0,    34    # two non-maximum-age alive cells
34,   b,   0,   0,   0,   0,   0,   0,   0,    35    # one maximum-age alive cell
34,  a1,  a2,  a3,   0,   0,   0,   0,   0,    35    # three non-maximum-age alive cells
34,  a1,  a2,   0,   0,   0,   0,   0,   0,    35    # two non-maximum-age alive cells
35,   b,   0,   0,   0,   0,   0,   0,   0,    36    # one maximum-age alive cell
35,  a1,  a2,  a3,   0,   0,   0,   0,   0,    36    # three non-maximum-age alive cells
35,  a1,  a2,   0,   0,   0,   0,   0,   0,    36    # two non-maximum-age alive cells
36,   b,   0,   0,   0,   0,   0,   0,   0,    37    # one maximum-age alive cell
36,  a1,  a2,  a3,   0,   0,   0,   0,   0,    37    # three non-maximum-age alive cells
36,  a1,  a2,   0,   0,   0,   0,   0,   0,    37    # two non-maximum-age alive cells
37,   b,   0,   0,   0,   0,   0,   0,   0,    38    # one maximum-age alive cell
37,  a1,  a2,  a3,   0,   0,   0,   0,   0,    38    # three non-maximum-age alive cells
37,  a1,  a2,   0,   0,   0,   0,   0,   0,    38    # two non-maximum-age alive cells
38,   b,   0,   0,   0,   0,   0,   0,   0,    39    # one maximum-age alive cell
38,  a1,  a2,  a3,   0,   0,   0,   0,   0,    39    # three non-maximum-age alive cells
38,  a1,  a2,   0,   0,   0,   0,   0,   0,    39    # two non-maximum-age alive cells
39,   b,   0,   0,   0,   0,   0,   0,   0,    40    # one maximum-age alive cell
39,  a1,  a2,  a3,   0,   0,   0,   0,   0,    40    # three non-maximum-age alive cells
39,  a1,  a2,   0,   0,   0,   0,   0,   0,    40    # two non-maximum-age alive cells
40,   b,   0,   0,   0,   0,   0,   0,   0,    41    # one maximum-age alive cell
40,  a1,  a2,  a3,   0,   0,   0,   0,   0,    41    # three non-maximum-age alive cells
40,  a1,  a2,   0,   0,   0,   0,   0,   0,    41    # two non-maximum-age alive cells
41,   b,   0,   0,   0,   0,   0,   0,   0,    42    # one maximum-age alive cell
41,  a1,  a2,  a3,   0,   0,   0,   0,   0,    42    # three non-maximum-age alive cells
41,  a1,  a2,   0,   0,   0,   0,   0,   0,    42    # two non-maximum-age alive cells
42,   b,   0,   0,   0,   0,   0,   0,   0,    43    # one maximum-age alive cell
42,  a1,  a2,  a3,   0,   0,   0,   0,   0,    43    # three non-maximum-age alive cells
42,  a1,  a2,   0,   0,   0,   0,   0,   0,    43    # two non-maximum-age alive cells
43,   b,   0,   0,   0,   0,   0,   0,   0,    44    # one maximum-age alive cell
43,  a1,  a2,  a3,   0,   0,   0,   0,   0,    44    # three non-maximum-age alive cells
43,  a1,  a2,   0,   0,   0,   0,   0,   0,    44    # two non-maximum-age alive cells
44,   b,   0,   0,   0,   0,   0,   0,   0,    45    # one maximum-age alive cell
44,  a1,  a2,  a3,   0,   0,   0,   0,   0,    45    # three non-maximum-age alive cells
44,  a1,  a2,   0,   0,   0,   0,   0,   0,    45    # two non-maximum-age alive cells
45,   b,   0,   0,   0,   0,   0,   0,   0,    46    # one maximum-age alive cell
45,  a1,  a2,  a3,   0,   0,   0,   0,   0,    46    # three non-maximum-age alive cells
45,  a1,  a2,   0,   0,   0,   0,   0,   0,    46    # two non-maximum-age alive cells
46,   b,   0,   0,   0,   0,   0,   0,   0,    47    # one maximum-age alive cell
46,  a1,  a2,  a3,   0,   0,   0,   0,   0,    47    # three non-maximum-age alive cells
46,  a1,  a2,   0,   0,   0,   0,   0,   0,    47    # two non-maximum-age alive cells
47,   b,   0,   0,   0,   0,   0,   0,   0,    48    # one maximum-age alive cell
47,  a1,  a2,  a3,   0,   0,   0,   0,   0,    48    # three non-maximum-age alive cells
47,  a1,  a2,   0,   0,   0,   0,   0,   0,    48    # two non-maximum-age alive cells
48,   b,   0,   0,   0,   0,   0,   0,   0,    49    # one maximum-age alive cell
48,  a1,  a2,  a3,   0,   0,   0,   0,   0,    49    # three non-maximum-age alive cells
48,  a1,  a2,   0,   0,   0,   0,   0,   0,    49    # two non-maximum-age alive cells
49,   b,   0,   0,   0,   0,   0,   0,   0,    50    # one maximum-age alive cell
49,  a1,  a2,  a3,   0,   0,   0,   0,   0,    50    # three non-maximum-age alive cells
49,  a1,  a2,   0,   0,   0,   0,   0,   0,    50    # two non-maximum-age alive cells
50,   b,   0,   0,   0,   0,   0,   0,   0,    51    # one maximum-age alive cell
50,  a1,  a2,  a3,   0,   0,   0,   0,   0,    51    # three non-maximum-age alive cells
50,  a1,  a2,   0,   0,   0,   0,   0,   0,    51    # two non-maximum-age alive cells
51,   b,   0,   0,   0,   0,   0,   0,   0,    52    # one maximum-age alive cell
51,  a1,  a2,  a3,   0,   0,   0,   0,   0,    52    # three non-maximum-age alive cells
51,  a1,  a2,   0,   0,   0,   0,   0,   0,    52    # two non-maximum-age alive cells
52,   b,   0,   0,   0,   0,   0,   0,   0,    53    # one maximum-age alive cell
52,  a1,  a2,  a3,   0,   0,   0,   0,   0,    53    # three non-maximum-age alive cells
52,  a1,  a2,   0,   0,   0,   0,   0,   0,    53    # two non-maximum-age alive cells
53,   b,   0,   0,   0,   0,   0,   0,   0,    54    # one maximum-age alive cell
53,  a1,  a2,  a3,   0,   0,   0,   0,   0,    54    # three non-maximum-age alive cells
53,  a1,  a2,   0,   0,   0,   0,   0,   0,    54    # two non-maximum-age alive cells
54,   b,   0,   0,   0,   0,   0,   0,   0,    55    # one maximum-age alive cell
54,  a1,  a2,  a3,   0,   0,   0,   0,   0,    55    # three non-maximum-age alive cells
54,  a1,  a2,   0,   0,   0,   0,   0,   0,    55    # two non-maximum-age alive cells
55,   b,   0,   0,   0,   0,   0,   0,   0,    56    # one maximum-age alive cell
55,  a1,  a2,  a3,   0,   0,   0,   0,   0,    56    # three non-maximum-age alive cells
55,  a1,  a2,   0,   0,   0,   0,   0,   0,    56    # two non-maximum-age alive cells
56,   b,   0,   0,   0,   0,   0,   0,   0,    57    # one maximum-age alive cell
56,  a1,  a2,  a3,   0,   0,   0,   0,   0,    57    # three non-maximum-age alive cells
56,  a1,  a2,   0,   0,   0,   0,   0,   0,    57    # two non-maximum-age alive cells
57,   b,   0,   0,   0,   0,   0,   0,   0,    58    # one maximum-age alive cell
57,  a1,  a2,  a3,   0,   0,   0,   0,   0,    58    # three non-maximum-age alive cells
57,  a1,  a2,   0,   0,   0,   0,   0,   0,    58    # two non-maximum-age alive cells
58,   b,   0,   0,   0,   0,   0,   0,   0,    59    # one maximum-age alive cell
58,  a1,  a2,  a3,   0,   0,   0,   0,   0,    59    # three non-maximum-age alive cells
58,  a1,  a2,   0,   0,   0,   0,   0,   0,    59    # two non-maximum-age alive cells
59,   b,   0,   0,   0,   0,   0,   0,   0,    60    # one maximum-age alive cell
59,  a1,  a2,  a3,   0,   0,   0,   0,   0,    60    # three non-maximum-age alive cells
59,  a1,  a2,   0,   0,   0,   0,   0,   0,    60    # two non-maximum-age alive cells
60,   b,   0,   0,   0,   0,   0,   0,   0,    61    # one maximum-age alive cell
60,  a1,  a2,  a3,   0,   0,   0,   0,   0,    61    # three non-maximum-age alive cells
60,  a1,  a2,   0,   0,   0,   0,   0,   0,    61    # two non-maximum-age alive cells
61,   b,   0,   0,   0,   0,   0,   0,   0,    62    # one maximum-age alive cell
61,  a1,  a2,  a3,   0,   0,   0,   0,   0,    62    # three non-maximum-age alive cells
61,  a1,  a2,   0,   0,   0,   0,   0,   0,    62    # two non-maximum-age alive cells
62,   b,   0,   0,   0,   0,   0,   0,   0,    63    # one maximum-age alive cell
62,  a1,  a2,  a3,   0,   0,   0,   0,   0,    63    # three non-maximum-age alive cells
62,  a1,  a2,   0,   0,   0,   0,   0,   0,    63    # two non-maximum-age alive cells
63,   b,   0,   0,   0,   0,   0,   0,   0,    63    # one maximum-age alive cell
63,  a1,  a2,  a3,   0,   0,   0,   0,   0,    63    # three non-maximum-age alive cells
63,  a1,  a2,   0,   0,   0,   0,   0,   0,    63    # two non-maximum-age alive cells
# the most boring rule:
x0, x1,  x2,  x3,  x4,  x5,  x6,  x7,  x8,    0    # every other cell dies or stays dead``````

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!``````

vilc
Posts: 30
Joined: March 20th, 2024, 4:36 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

Mathemagician314 wrote:
April 16th, 2024, 3:20 pm
(A stable glider eater would be nice as well, so we can make the gun an oscillator.)
An aircraft carrier works as a stable glider eater :

Code: Select all

``````x = 4, y = 9, rule = B34j8/S23-a4acet6i8
3bo\$b2o\$2b2o3\$2o\$o\$2bo\$b2o!
``````
Capped p272 gun :

Code: Select all

``````x = 59, y = 59, rule = B34j8/S23-a4acet6i8
29b2o\$29bo\$31bo\$30b2o17\$32bo\$30bo2b3o\$30bo2bob3o\$30bo2b3o3bo\$30b2o5bob
o\$39bo\$33b2o4bo\$2b2o32b3o\$o2bo\$2o55b2o\$55bo2bo\$55b2o3\$38b2o\$37bobo\$38b
o\$23bo\$22bobo\$23b2o2\$27b3ob2o\$26b6ob2o\$26b2o\$29b5o2bo\$22bo9b2o\$22bo6b
3o4bo\$22bo13bo\$33b3o7\$27b2o\$27bo\$29bo\$28b2o!
``````

confocaloid
Posts: 3145
Joined: February 8th, 2022, 3:15 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

Mathemagician314 wrote:
April 16th, 2024, 3:20 pm
Anybody with a faster computer than me want to help apgsearch this rule? [...]
p132 (8,3)c/22 puffrake:

Code: Select all

``````#C https://catagolue.hatsya.com/hashsoup/C1/k_aJznQC9VNcSv696/b34j8s23-a4acet6i8
x = 16, y = 16, rule = B34j8/S23-a4acet6i8
bo2b3obobob4o\$3o2b3obo5bo\$obo2b2o2b4ob2o\$4ob2ob4obobo\$b2ob2o6b2obo\$b2o
2b2obo2bo\$ob2ob3o2b2o3bo\$obobo3b2o3b2o\$b3o7b2o2bo\$bo2b2o2bo2b2o2bo\$2bo
b7obo2bo\$2b2obobo4b2o\$obo3b4obo2b2o\$4ob5obobobo\$bo5bobo2bob2o\$2ob4obo
3b2o!
``````
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

Mathemagician314
Posts: 125
Joined: November 15th, 2023, 3:15 pm
Location: Toroidal Universe MKA-84

### Re: Miscellaneous Discoveries in Other Cellular Automata

The rule B34jq/S23-ay4a6a makes the B-heptomino an (8,3)c/22 spaceship instead of puffer:

Code: Select all

``````x = 7, y = 9, rule = B34jq/S23-ay4a6a
b3o\$o2bo\$2obo3\$4b2o\$5b2o\$4b3o\$3b3o!
[[ TRACK 3/22 -8/22 ZOOM 9.8 GPS 20 THEME Fire ]]
``````
Apgsearch is pretty slow, though, and I can't manage to upload a haul -- can anybody else?

EDIT: You can replace B4q with B5e, but the minimum conditions for the resulting spaceship explode.
Can we make a (28,3)c/84 spaceship??

Code: Select all

``````x = 6, y = 7, rule = B3-e4i5-a/S2-i3-a4cr5e6c
3o\$o\$o2\$5bo\$5bo\$3b3o!
[[ THEME PCA ]]
``````

Code: Select all

``````x = 6, y = 5, rule = 2-ak34/2kn3-r4aijnr5c/5
[[ THEME BLUES ]]
``````

confocaloid
Posts: 3145
Joined: February 8th, 2022, 3:15 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

confocaloid wrote:
April 16th, 2024, 8:16 am
[...] And here is an implementation of the above pseudocode for n_states = 64: [...]
hotcrystal0 wrote:
April 16th, 2024, 4:16 pm
[...] P260 from soup: [...]
Doing the same thing to HighLife instead leads to a second alien replicator, which is a certain sort of beehive:

Code: Select all

``````x = 16, y = 16, rule = sandbox
5o3bo2bo\$6bo2bo5bo\$3b5o2bob2obo\$2o8b4o\$o3bob2obob2o\$b2obo2b6o\$2o6bob3o
2bo\$2bo2b2ob5o\$2obo2bo5b4o\$3bo4bob2o3bo\$2bob2o2bo4bobo\$obo2b3obobob2o\$
5o2bo2b6o\$o4b5o2bo\$2obo2b3o2bob2o\$2ob4ob2ob2obo!

@RULE sandbox

This is a multistate variation of HighLife (B36/S23).

When an alive cell reaches maximum age (state 63), the cell
"counts as 3 alive neighbours" instead of one.
https://conwaylife.com/forums/viewtopic.php?p=182794#p182794
https://conwaylife.com/forums/viewtopic.php?p=182756#p182756

Inspired by the description of a screensaver 'Cloud Life',
where maximum-age alive cells count as 3:
https://www.jwz.org/xscreensaver/screenshots/
https://conwaylife.com/forums/viewtopic.php?p=182748#p182748

@TABLE
n_states:64
neighborhood:Moore
symmetries:permute

var x0 = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63 }  # any cell
var x1 = x0
var x2 = x0
var x3 = x0
var x4 = x0
var x5 = x0
var x6 = x0
var x7 = x0
var x8 = x0
var a1 = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62 }  # non-max-age alive cell
var a2 = a1
var a3 = a1
var a4 = a1
var a5 = a1
var a6 = a1

# birth rules
0,  a1, a2, a3,  0,  0,  0,  0,  0,  1  # n_max_age = 0, n_other = 3
0,  a1, a2, a3, a4, a5, a6,  0,  0,  1  # n_max_age = 0, n_other = 6
0,  63,  0,  0,  0,  0,  0,  0,  0,  1  # n_max_age = 1, n_other = 0
0,  a1, a2, a3, 63,  0,  0,  0,  0,  1  # n_max_age = 1, n_other = 3
0,  63, 63,  0,  0,  0,  0,  0,  0,  1  # n_max_age = 2, n_other = 0
# survival rules (n_max_age = 0, n_other = 2)
1,  a1, a2,  0,  0,  0,  0,  0,  0,  2
2,  a1, a2,  0,  0,  0,  0,  0,  0,  3
3,  a1, a2,  0,  0,  0,  0,  0,  0,  4
4,  a1, a2,  0,  0,  0,  0,  0,  0,  5
5,  a1, a2,  0,  0,  0,  0,  0,  0,  6
6,  a1, a2,  0,  0,  0,  0,  0,  0,  7
7,  a1, a2,  0,  0,  0,  0,  0,  0,  8
8,  a1, a2,  0,  0,  0,  0,  0,  0,  9
9,  a1, a2,  0,  0,  0,  0,  0,  0, 10
10, a1, a2,  0,  0,  0,  0,  0,  0, 11
11, a1, a2,  0,  0,  0,  0,  0,  0, 12
12, a1, a2,  0,  0,  0,  0,  0,  0, 13
13, a1, a2,  0,  0,  0,  0,  0,  0, 14
14, a1, a2,  0,  0,  0,  0,  0,  0, 15
15, a1, a2,  0,  0,  0,  0,  0,  0, 16
16, a1, a2,  0,  0,  0,  0,  0,  0, 17
17, a1, a2,  0,  0,  0,  0,  0,  0, 18
18, a1, a2,  0,  0,  0,  0,  0,  0, 19
19, a1, a2,  0,  0,  0,  0,  0,  0, 20
20, a1, a2,  0,  0,  0,  0,  0,  0, 21
21, a1, a2,  0,  0,  0,  0,  0,  0, 22
22, a1, a2,  0,  0,  0,  0,  0,  0, 23
23, a1, a2,  0,  0,  0,  0,  0,  0, 24
24, a1, a2,  0,  0,  0,  0,  0,  0, 25
25, a1, a2,  0,  0,  0,  0,  0,  0, 26
26, a1, a2,  0,  0,  0,  0,  0,  0, 27
27, a1, a2,  0,  0,  0,  0,  0,  0, 28
28, a1, a2,  0,  0,  0,  0,  0,  0, 29
29, a1, a2,  0,  0,  0,  0,  0,  0, 30
30, a1, a2,  0,  0,  0,  0,  0,  0, 31
31, a1, a2,  0,  0,  0,  0,  0,  0, 32
32, a1, a2,  0,  0,  0,  0,  0,  0, 33
33, a1, a2,  0,  0,  0,  0,  0,  0, 34
34, a1, a2,  0,  0,  0,  0,  0,  0, 35
35, a1, a2,  0,  0,  0,  0,  0,  0, 36
36, a1, a2,  0,  0,  0,  0,  0,  0, 37
37, a1, a2,  0,  0,  0,  0,  0,  0, 38
38, a1, a2,  0,  0,  0,  0,  0,  0, 39
39, a1, a2,  0,  0,  0,  0,  0,  0, 40
40, a1, a2,  0,  0,  0,  0,  0,  0, 41
41, a1, a2,  0,  0,  0,  0,  0,  0, 42
42, a1, a2,  0,  0,  0,  0,  0,  0, 43
43, a1, a2,  0,  0,  0,  0,  0,  0, 44
44, a1, a2,  0,  0,  0,  0,  0,  0, 45
45, a1, a2,  0,  0,  0,  0,  0,  0, 46
46, a1, a2,  0,  0,  0,  0,  0,  0, 47
47, a1, a2,  0,  0,  0,  0,  0,  0, 48
48, a1, a2,  0,  0,  0,  0,  0,  0, 49
49, a1, a2,  0,  0,  0,  0,  0,  0, 50
50, a1, a2,  0,  0,  0,  0,  0,  0, 51
51, a1, a2,  0,  0,  0,  0,  0,  0, 52
52, a1, a2,  0,  0,  0,  0,  0,  0, 53
53, a1, a2,  0,  0,  0,  0,  0,  0, 54
54, a1, a2,  0,  0,  0,  0,  0,  0, 55
55, a1, a2,  0,  0,  0,  0,  0,  0, 56
56, a1, a2,  0,  0,  0,  0,  0,  0, 57
57, a1, a2,  0,  0,  0,  0,  0,  0, 58
58, a1, a2,  0,  0,  0,  0,  0,  0, 59
59, a1, a2,  0,  0,  0,  0,  0,  0, 60
60, a1, a2,  0,  0,  0,  0,  0,  0, 61
61, a1, a2,  0,  0,  0,  0,  0,  0, 62
62, a1, a2,  0,  0,  0,  0,  0,  0, 63
63, a1, a2,  0,  0,  0,  0,  0,  0, 63
# survival rules (n_max_age = 0, n_other = 3)
1,  a1, a2, a3,  0,  0,  0,  0,  0,  2
2,  a1, a2, a3,  0,  0,  0,  0,  0,  3
3,  a1, a2, a3,  0,  0,  0,  0,  0,  4
4,  a1, a2, a3,  0,  0,  0,  0,  0,  5
5,  a1, a2, a3,  0,  0,  0,  0,  0,  6
6,  a1, a2, a3,  0,  0,  0,  0,  0,  7
7,  a1, a2, a3,  0,  0,  0,  0,  0,  8
8,  a1, a2, a3,  0,  0,  0,  0,  0,  9
9,  a1, a2, a3,  0,  0,  0,  0,  0, 10
10, a1, a2, a3,  0,  0,  0,  0,  0, 11
11, a1, a2, a3,  0,  0,  0,  0,  0, 12
12, a1, a2, a3,  0,  0,  0,  0,  0, 13
13, a1, a2, a3,  0,  0,  0,  0,  0, 14
14, a1, a2, a3,  0,  0,  0,  0,  0, 15
15, a1, a2, a3,  0,  0,  0,  0,  0, 16
16, a1, a2, a3,  0,  0,  0,  0,  0, 17
17, a1, a2, a3,  0,  0,  0,  0,  0, 18
18, a1, a2, a3,  0,  0,  0,  0,  0, 19
19, a1, a2, a3,  0,  0,  0,  0,  0, 20
20, a1, a2, a3,  0,  0,  0,  0,  0, 21
21, a1, a2, a3,  0,  0,  0,  0,  0, 22
22, a1, a2, a3,  0,  0,  0,  0,  0, 23
23, a1, a2, a3,  0,  0,  0,  0,  0, 24
24, a1, a2, a3,  0,  0,  0,  0,  0, 25
25, a1, a2, a3,  0,  0,  0,  0,  0, 26
26, a1, a2, a3,  0,  0,  0,  0,  0, 27
27, a1, a2, a3,  0,  0,  0,  0,  0, 28
28, a1, a2, a3,  0,  0,  0,  0,  0, 29
29, a1, a2, a3,  0,  0,  0,  0,  0, 30
30, a1, a2, a3,  0,  0,  0,  0,  0, 31
31, a1, a2, a3,  0,  0,  0,  0,  0, 32
32, a1, a2, a3,  0,  0,  0,  0,  0, 33
33, a1, a2, a3,  0,  0,  0,  0,  0, 34
34, a1, a2, a3,  0,  0,  0,  0,  0, 35
35, a1, a2, a3,  0,  0,  0,  0,  0, 36
36, a1, a2, a3,  0,  0,  0,  0,  0, 37
37, a1, a2, a3,  0,  0,  0,  0,  0, 38
38, a1, a2, a3,  0,  0,  0,  0,  0, 39
39, a1, a2, a3,  0,  0,  0,  0,  0, 40
40, a1, a2, a3,  0,  0,  0,  0,  0, 41
41, a1, a2, a3,  0,  0,  0,  0,  0, 42
42, a1, a2, a3,  0,  0,  0,  0,  0, 43
43, a1, a2, a3,  0,  0,  0,  0,  0, 44
44, a1, a2, a3,  0,  0,  0,  0,  0, 45
45, a1, a2, a3,  0,  0,  0,  0,  0, 46
46, a1, a2, a3,  0,  0,  0,  0,  0, 47
47, a1, a2, a3,  0,  0,  0,  0,  0, 48
48, a1, a2, a3,  0,  0,  0,  0,  0, 49
49, a1, a2, a3,  0,  0,  0,  0,  0, 50
50, a1, a2, a3,  0,  0,  0,  0,  0, 51
51, a1, a2, a3,  0,  0,  0,  0,  0, 52
52, a1, a2, a3,  0,  0,  0,  0,  0, 53
53, a1, a2, a3,  0,  0,  0,  0,  0, 54
54, a1, a2, a3,  0,  0,  0,  0,  0, 55
55, a1, a2, a3,  0,  0,  0,  0,  0, 56
56, a1, a2, a3,  0,  0,  0,  0,  0, 57
57, a1, a2, a3,  0,  0,  0,  0,  0, 58
58, a1, a2, a3,  0,  0,  0,  0,  0, 59
59, a1, a2, a3,  0,  0,  0,  0,  0, 60
60, a1, a2, a3,  0,  0,  0,  0,  0, 61
61, a1, a2, a3,  0,  0,  0,  0,  0, 62
62, a1, a2, a3,  0,  0,  0,  0,  0, 63
63, a1, a2, a3,  0,  0,  0,  0,  0, 63
# survival rules (n_max_age = 1, n_other = 0)
1,  63,  0,  0,  0,  0,  0,  0,  0,  2
2,  63,  0,  0,  0,  0,  0,  0,  0,  3
3,  63,  0,  0,  0,  0,  0,  0,  0,  4
4,  63,  0,  0,  0,  0,  0,  0,  0,  5
5,  63,  0,  0,  0,  0,  0,  0,  0,  6
6,  63,  0,  0,  0,  0,  0,  0,  0,  7
7,  63,  0,  0,  0,  0,  0,  0,  0,  8
8,  63,  0,  0,  0,  0,  0,  0,  0,  9
9,  63,  0,  0,  0,  0,  0,  0,  0, 10
10, 63,  0,  0,  0,  0,  0,  0,  0, 11
11, 63,  0,  0,  0,  0,  0,  0,  0, 12
12, 63,  0,  0,  0,  0,  0,  0,  0, 13
13, 63,  0,  0,  0,  0,  0,  0,  0, 14
14, 63,  0,  0,  0,  0,  0,  0,  0, 15
15, 63,  0,  0,  0,  0,  0,  0,  0, 16
16, 63,  0,  0,  0,  0,  0,  0,  0, 17
17, 63,  0,  0,  0,  0,  0,  0,  0, 18
18, 63,  0,  0,  0,  0,  0,  0,  0, 19
19, 63,  0,  0,  0,  0,  0,  0,  0, 20
20, 63,  0,  0,  0,  0,  0,  0,  0, 21
21, 63,  0,  0,  0,  0,  0,  0,  0, 22
22, 63,  0,  0,  0,  0,  0,  0,  0, 23
23, 63,  0,  0,  0,  0,  0,  0,  0, 24
24, 63,  0,  0,  0,  0,  0,  0,  0, 25
25, 63,  0,  0,  0,  0,  0,  0,  0, 26
26, 63,  0,  0,  0,  0,  0,  0,  0, 27
27, 63,  0,  0,  0,  0,  0,  0,  0, 28
28, 63,  0,  0,  0,  0,  0,  0,  0, 29
29, 63,  0,  0,  0,  0,  0,  0,  0, 30
30, 63,  0,  0,  0,  0,  0,  0,  0, 31
31, 63,  0,  0,  0,  0,  0,  0,  0, 32
32, 63,  0,  0,  0,  0,  0,  0,  0, 33
33, 63,  0,  0,  0,  0,  0,  0,  0, 34
34, 63,  0,  0,  0,  0,  0,  0,  0, 35
35, 63,  0,  0,  0,  0,  0,  0,  0, 36
36, 63,  0,  0,  0,  0,  0,  0,  0, 37
37, 63,  0,  0,  0,  0,  0,  0,  0, 38
38, 63,  0,  0,  0,  0,  0,  0,  0, 39
39, 63,  0,  0,  0,  0,  0,  0,  0, 40
40, 63,  0,  0,  0,  0,  0,  0,  0, 41
41, 63,  0,  0,  0,  0,  0,  0,  0, 42
42, 63,  0,  0,  0,  0,  0,  0,  0, 43
43, 63,  0,  0,  0,  0,  0,  0,  0, 44
44, 63,  0,  0,  0,  0,  0,  0,  0, 45
45, 63,  0,  0,  0,  0,  0,  0,  0, 46
46, 63,  0,  0,  0,  0,  0,  0,  0, 47
47, 63,  0,  0,  0,  0,  0,  0,  0, 48
48, 63,  0,  0,  0,  0,  0,  0,  0, 49
49, 63,  0,  0,  0,  0,  0,  0,  0, 50
50, 63,  0,  0,  0,  0,  0,  0,  0, 51
51, 63,  0,  0,  0,  0,  0,  0,  0, 52
52, 63,  0,  0,  0,  0,  0,  0,  0, 53
53, 63,  0,  0,  0,  0,  0,  0,  0, 54
54, 63,  0,  0,  0,  0,  0,  0,  0, 55
55, 63,  0,  0,  0,  0,  0,  0,  0, 56
56, 63,  0,  0,  0,  0,  0,  0,  0, 57
57, 63,  0,  0,  0,  0,  0,  0,  0, 58
58, 63,  0,  0,  0,  0,  0,  0,  0, 59
59, 63,  0,  0,  0,  0,  0,  0,  0, 60
60, 63,  0,  0,  0,  0,  0,  0,  0, 61
61, 63,  0,  0,  0,  0,  0,  0,  0, 62
62, 63,  0,  0,  0,  0,  0,  0,  0, 63
63, 63,  0,  0,  0,  0,  0,  0,  0, 63
# the most boring rule (every other cell dies or stays dead)
x0, x1, x2, x3, x4, x5, x6, x7, x8,  0
``````
Last edited by confocaloid on April 17th, 2024, 2:57 pm, edited 2 times in total.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
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