Cambrian Life (B3-ckq/S2-i3-q4e)

For discussion of other cellular automata.
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The-Patternfinder
Posts: 11
Joined: June 12th, 2026, 9:41 am

Cambrian Life (B3-ckq/S2-i3-q4e)

Post by The-Patternfinder »

This rule has some interesting behaviors, such as this one:

Code: Select all

 x = 9, y = 8, rule = B3-ckq/S2-i3-q4e
bo$2bo$3o4$6b3o$7bo!
This reaction changes the direction of T-tetronimo by 90° right.

If you're confused the T-tetronimo (or T-pentomino) moves at c/5 orthogonally.

There's that one oscillator that spawns when two beehives meet.

Code: Select all

 x = 8, y = 3, rule = B3-ckq/S2-i3-q4e
b2o2b2o$o2b2o2bo$b2o2b2o!
It's a period-6 where one of its phases are two squiggly lines.

This pattern is a still life

Code: Select all

 x = 5, y = 5, rule = B3-ckq/S2-i3-q4e
b2o$o2bo$bo2bo$2bobo$3bo!
it's a bulky loaf

Code: Select all

 x = 3, y = 2, rule = B3-ckq/S2-i3-q4e
3o$bo!
this will forward you
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The-Patternfinder
Posts: 11
Joined: June 12th, 2026, 9:41 am

Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by The-Patternfinder »

Also: this cheap gamet has the glider be destroyed and turn the oscillator into chaotic, releasing a glider in the same direction, resulting in the illusion of the glider destroying it

Code: Select all

 x = 11, y = 13, rule = B3-ckq/S2-i3-q4e
bo$2bo$3o3$9bo$8bobo$8bobo$9bo$9bo$8bobo$8bobo$9bo!

Code: Select all

 x = 3, y = 2, rule = B3-ckq/S2-i3-q4e
3o$bo!
this will forward you
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NNlk05
Posts: 754
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by NNlk05 »

You may want to try out APGsearch
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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The-Patternfinder
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by The-Patternfinder »

NNlk05 wrote: June 12th, 2026, 10:49 am You may want to try out APGsearch
im on mobile sorry :(

Code: Select all

 x = 3, y = 2, rule = B3-ckq/S2-i3-q4e
3o$bo!
this will forward you
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NNlk05
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by NNlk05 »

The-Patternfinder wrote: June 12th, 2026, 10:57 am im on mobile sorry :(
I can take some time to do the search for you over the weekend :mrgreen:
Do you have a PC/Laptop at all?
Unfortunately, this rules is a stable rule, which means it is harder to engineer patterns. But keep at it!
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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The-Patternfinder
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by The-Patternfinder »

NNlk05 wrote: June 12th, 2026, 10:57 am
The-Patternfinder wrote: June 12th, 2026, 10:57 am im on mobile sorry :(
I can take some time to do the search for you over the weekend :mrgreen:
Do you have a PC/Laptop at all?
No, try running it (if you want you can ask some others)

Code: Select all

 x = 3, y = 2, rule = B3-ckq/S2-i3-q4e
3o$bo!
this will forward you
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The-Patternfinder
Posts: 11
Joined: June 12th, 2026, 9:41 am

Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by The-Patternfinder »

discovered a p16 puffer with speed 10c/16

Code: Select all

 x = 13, y = 16, rule = B3-ckq/S2-i3-q4e
9bo$2b2o4bobo$bo2bo3bo2bo$bobo5b2o$2bo$4bo$3bobo$2bo3bo$bo5bo$2bo3bo$
3bobo$4bo!

Code: Select all

 x = 3, y = 2, rule = B3-ckq/S2-i3-q4e
3o$bo!
this will forward you
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hibiscus
Posts: 452
Joined: August 26th, 2023, 3:30 am

Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by hibiscus »

The 10c/16o puffer is actually 6c/16 (or just 3c/8). Don't worry about it, though.

p32:

Code: Select all

x = 27, y = 27, rule = B3-ckq/S2-i3-q4e
10b2o3b2o$10b2o3b2o9$2o11bo11b2o$2o10b3o10b2o$11bo3bo$10b2o3b2o$11bo3b
o$2o10b3o10b2o$2o11bo11b2o9$10b2o3b2o$10b2o3b2o!

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!
1072.
https://genevei.github.io/kitagolue.html
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The-Patternfinder
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by The-Patternfinder »

hibiscus wrote: June 12th, 2026, 11:41 am The 10c/16o puffer is actually 6c/16 (or just 3c/8). Don't worry about it, though.

p32:

Code: Select all

x = 27, y = 27, rule = B3-ckq/S2-i3-q4e
10b2o3b2o$10b2o3b2o9$2o11bo11b2o$2o10b3o10b2o$11bo3bo$10b2o3b2o$11bo3b
o$2o10b3o10b2o$2o11bo11b2o9$10b2o3b2o$10b2o3b2o!
ok

Code: Select all

 x = 3, y = 2, rule = B3-ckq/S2-i3-q4e
3o$bo!
this will forward you
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The-Patternfinder
Posts: 11
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by The-Patternfinder »

this makes hat oscillators

Code: Select all

 x = 15, y = 11, rule = B3-ckq/S2-i3-q4e
7bo$b2o3bobo3b2o$o2bo2bobo2bo2bo$o2bo3bo3bo2bo$b2o9b2o4$6b3o$6b3o$7bo!
someone will def make a puffer out of this

Code: Select all

 x = 3, y = 2, rule = B3-ckq/S2-i3-q4e
3o$bo!
this will forward you
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TheWayOfTheCon
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by TheWayOfTheCon »

The-Patternfinder wrote: June 12th, 2026, 11:00 am
NNlk05 wrote: June 12th, 2026, 10:57 am
I can take some time to do the search for you over the weekend :mrgreen:
Do you have a PC/Laptop at all?
No, try running it (if you want you can ask some others)
If you don't have a PC, then rlifesrc is a good option for pattern searching. It doesn't submit anything to Catagolue, and its not the fastest, but it is handy in finishing/finding very specific patterns.

Also, I'm doing some small-scale APGsearching for the rule to see what pops up. It would be ideal if the rule had
  • High-period or sparky oscillators
  • Natural linear growth
  • A variety of still lifes/still life components
I'll look at a few symmetries and see what it picks up.

UPDATE:

Searching done!

High-period or sparky oscillators

There were a few high-period oscillators picked up in the search, but they're pretty lame. In C1, there was a p14.

Code: Select all

x = 9, y = 10, rule = B3-ckq/S2-i3-q4e
b2o$obo$bo2b2o$4bo2$4bo$3b2o2bo$6bobo$5bo2bo$6b2o!
In D8_1 there was a p11,

Code: Select all

x = 19, y = 19, rule = B3-ckq/S2-i3-q4e
7bo3bo$6b2o3b2o$5b2o5b2o$6b2o3b2o$7bo3bo$2bo13bo$b3o11b3o$2ob2o9b2ob2o
4$2ob2o9b2ob2o$b3o11b3o$2bo13bo$7bo3bo$6b2o3b2o$5b2o5b2o$6b2o3b2o$7bo
3bo!
And an interesting series of period-32 oscillators hassling some kind of reaction. Here's the version where blocks are used as stabilization.

Code: Select all

x = 29, y = 29, rule = B3-ckq/S2-i3-q4e
11b2o3b2o$11b2o3b2o$14bo$13b3o8$2o11b3o11b2o$2o12bo12b2o$3bo7bo2bo2bo
7bo$2b2o7b3ob3o7b2o$3bo7bo2bo2bo7bo$2o12bo12b2o$2o11b3o11b2o8$13b3o$14b
o$11b2o3b2o$11b2o3b2o!
I did not find any sparky oscillators.


Natural linear growth

The search only got one type of linear growth in C1: This loaf puffer.

Code: Select all

x = 11, y = 12, rule = B3-ckq/S2-i3-q4e
3bo$2b3o$bo3bo$2o3b2o$bo3bo$2b3o$3bo$bo$obo5b2o$o2bo3bo2bo$b2o4bobo$8b
o!
There are a few variants of it in D8_1.

A variety of still lifes/still life components

There were indeed, a lot of still lifes that had some kind of components, like induction coils.

Miscellaneous

A couple of SMOSes were found in D8_1 and C1.

Code: Select all

x = 9, y = 16, rule = B3-ckq/S2-i3-q4e
3bo2b3o$2b2o3b2o$3bo2b3o10$6bo$2o4b3o$3o3bo$2o!
I could've chose a better username, but oh well.

I think I've learned the ropes of cellular automata. My current interest is range-two LTLs.
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ababa11e
Posts: 207
Joined: May 9th, 2024, 11:14 pm

Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by ababa11e »

Did some rlifesrc-ing, and I found some spaceships.
c/2o, 99% sure this is minimal.

Code: Select all

x = 14, y = 15, rule = B3-ckq/S2-i3-q4e
5bobo$2b2obo3bo$2bo3bobo$2bobo3bob2obo$13bo$b3o6bo$b2o7bobo$obo6bo$b2o
7bobo$b3o6bo$13bo$2bobo3bob2obo$2bo3bobo$2b2obo3bo$5bobo!
I can confirm there are no c/3 ships with a 16x16 bounding box.
2c/4o, idk if this is minimal but with my search it was

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x = 9, y = 19, rule = B3-ckq/S2-i3-q4e
3bo$b5o$2obo$o3b4o$bobo4bo$b4o3bo2$2bobob2o$2bo$bo$2bo$2bobob2o2$b4o3b
o$bobo4bo$o3b4o$2obo$b5o$3bo!
ababa11e: creating rules one golf at a time.

Code: Select all

x = 15, y = 9, rule = B3-jr4jn6c/S234i5r
6bo$6bo$8bo$8b3o$10bo$7bo2bo$7b3o!
WhiteHawk
Posts: 1455
Joined: July 10th, 2024, 5:34 pm

Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by WhiteHawk »

An absolutely bizarre p8 made from still-lifes from C4_1

Code: Select all

x = 7, y = 13, rule = B3-ckq/S2-i3-q4e
b2o$o2bo$obo2bo$bo2bobo$4bobo$5bo$obo$2o3b2o$5b2o$3bo$2bobo$2bobo$3bo
!
(EDIT: Reduced stator)

Code: Select all

x = 7, y = 12, rule = B3-ckq/S2-i3-q4e
2bo$bobo$2bo2bo$4bobo$4bobo$5bo$obo$2o3b2o$5b2o$3bo$2bobo$3bo!
And a p70 seemingly based on the p32

Code: Select all

x = 33, y = 33, rule = B3-ckq/S2-i3-q4e
17bo$16bobo$17bo5$22b2o$22b2o$7b2o$7b2o3$15b3o$bo14bo$obo10bo2bo2bo$b
o11b3ob3o11bo$13bo2bo2bo10bobo$16bo14bo$15b3o3$24b2o$24b2o$9b2o$9b2o5$
15bo$14bobo$15bo!
EDIT: P13 from D8_1

Code: Select all

x = 14, y = 14, rule = B3-ckq/S2-i3-q4e
3b2o$3b2o$6b3o$2o5b2o3b2o$2o4b3o3b2o2$2bobo$2b3o$2b3o4$3b2o$3b2o!
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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LittleLWSS
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by LittleLWSS »

A constant 45° turner, unsure if it was found.

Code: Select all

x = 7, y = 11, rule = B3-ckq/S2-i3-q4e
b2o$o2bo$obo$bo3$5bo$5bo$4bobo2$5bo!
This is LittleLWSS.

Code: Select all

x = 5, y = 4, rule = B3/S23
o2bo$4bo$o3bo$b4o!

Code: Select all

x = 5, y = 4, rule = B3-k7/S23-ck4q5y
o2bo$4bo$o3bo$b4o!

Code: Select all

x = 5, y = 4, rule = B3-y7e/S2-n3-cey4ei
o2bo$4bo$o3bo$b4o!
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I6_I6
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Re: Cambrian Life (B3-ckq/S2-i3-q4e)

Post by I6_I6 »

LittleLWSS wrote: July 7th, 2026, 6:11 am A constant 45° turner, unsure if it was found.

Code: Select all

x = 7, y = 11, rule = B3-ckq/S2-i3-q4e
b2o$o2bo$obo$bo3$5bo$5bo$4bobo2$5bo!
I think it's new!
The loaf can be replaced by a block:

Code: Select all

x = 5, y = 11, rule = B3-ckq/S2-i3-q4e
2o$2o5$3bo$3bo$2bobo2$3bo!

Code: Select all

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