ConwayLife.com

H. H. P. M. P. Cole

This is a topic to discuss Hunter's concept of "compounds" in other rulespaces.

In the NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000 rulespace, when one wants to create a nonexplosive nonrelativistic analogue in this rulespace with spaceships ...

H. H. P. M. P. Cole

In my quest to make the most aesthetically pleasing rule, I decided to golf these objects first, because I feel they are aesthetically pleasing:

x = 19, y = 8, rule = B2c3aj/S13j
2o3bo$6bo5$6bo3b2o4b2o$obo2bobo4bo4b2o!

Then I decided to add checkerboards and large block-based SLs:

x = 42, y ...

H. H. P. M. P. Cole

This ruleset has four 2-cell objects, more than what I think is possible in INT without S0.

Code: Select all

x = 15, y = 9, rule = R3,C2,S1,B10,26,50,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
o2bo6$bo5bo$o13bo$5bo5bo!

H. H. P. M. P. Cole

Rule 1: R3,C2,S5,26,B30-31,55,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000

Introductory pattern collection

x = 44, y = 63, rule = R3,C2,S5,26,B30-31,55 ...

H. H. P. M. P. Cole

Just a thread I will make to put in my low effort posts. Expect more later.

H. H. P. M. P. Cole

Why does this script seem to have bugs when in the rule B2cn3ay4aijrt5-eiqy6a78/S12ei3ejnry4aijr5iy6ik7c8? For example there is a line which says

108 c/23993

but when I run the pattern it does not seem to output a c/23993 spaceship at all:

x = 108, y = 1, rule = B2cn3ay4aijrt5-eiqy6a78 ...

H. H. P. M. P. Cole

After some by-hand rulegolfing and qfind checking, I found a rule with mealworms where the inside seems to be two cells thick.

Can anyone find a similar rule with odd-period and even-period worms?

From left to right: c/8o, c/10o, c/12o, 2c/12o

x = 25, y = 565, rule = B2ce3a4a5ai6ik78 ...

H. H. P. M. P. Cole

I managed to find three rules with 3 small spaceships, two orthogonal and one diagonal each. Could this be useful in making Demonoids?

x = 13, y = 4, rule = B2cei3eiy4a/S12c3ae4i
bo4bo3b2o$obo3bo5bo2$6bo!

x = 13, y = 4, rule = B2ce3eij/S12ck3an4i
bo4bo3b2o$obo3bo5bo2$6bo!

x = 13, y = 4 ...

H. H. P. M. P. Cole

Out of rules that have an inverse XOR replicator, I think these rules would be prone to having a lot of NRSS:
[...]
- B2ce3y5i6ci8/S12eik3eijnr4air5iy7e
[...]

I did a qfind search on this rule:

# c/2, c/6, c/8, 2c/8, c/9, c/10, 3c/10, c/11, 2c/11, c/12,
# 4c/12, c/13, 2c/13, 3c/13, c/14, 2c ...

H. H. P. M. P. Cole

In Conway's Game of Life, each cell has 8 neighbors, but what if they had 4 on each side? Then you get "Static Life" which I've named. https://ncase.me/sim/?lz ...

H. H. P. M. P. Cole

It's probably better to use one of the smaller patterns in the top row. We should EPE each one of those up to p3 and systematically figure out which ones are the best.

Done:

2o2$o!.txt

bo$obo!.txt

How are we then supposed to "systematically figure out which ones are the best"?

EDIT: I ...

H. H. P. M. P. Cole

hibiscus wrote: March 24th, 2026, 11:18 am If any of you have suggestions about what to include in a book similar to Conway's Game of Life - Mathematics and Construction (the Life book), but for OCA, please do tell. I am planning to realise it sooner or later.

Can I help with this? Thank you!

H. H. P. M. P. Cole

My interesting rule searcher is finding both simple and interesting rules. By setting the density of conditions (or transitions) to be as low as possible, one can easily find simple rules which are interesting.

Take for example, when I set the coefficient to 1/24, this rule:

x = 1, y = 1, rule ...

H. H. P. M. P. Cole

Time to revive this thread.

I changed the condition probability of my rule generator to be 1/6 and the first rule it spat out was this very cute rule. Perhaps it should be called Dominoland due to the fact that many objects are made out of dominoes?

x = 55, y = 32, rule = B2cei3a4kq5jr6ci ...

H. H. P. M. P. Cole

Unfortunately it means that we won't get discoveries from the only one who knows how to make weighted LTL rules.

I also can wield weighted LTL rules, and in some sense I am extending the work confocaloid has done by exploring a single neighbourhood in detail rather than inventing rules to solve ...

H. H. P. M. P. Cole

x = 52, y = 20, rule = R3,C2,S1,B30,NW00000001000000000000050000000000001900000001051900190501000000190000000000000500000000000001000000
22bo10bo$21bo2bo7bo2bo2$31bo2$29bo$o2bo4bo2bo19bobo$bo2bo$2bo2bo4bo2b
o$9bo2bo4$o6b2o5b2o5b2o5b2o5b2o5b2o6b2o$2bo25b2o5b2o5b2o6b2o$7b2o5b2o
5b2o5b2o5b2o5b2o6b2o ...

H. H. P. M. P. Cole

Doublepost, containing an interesting rule:

Code: Select all

x = 6, y = 5, rule = R5,C2,S1,B2,NW0000000000000000000000000000000000000000000000000000000100110100010000000000000000000000000000000000000000000000000000000
o2bo2$o3bo2$o4bo!

H. H. P. M. P. Cole

Spaceships in Rule #4

x = 130, y = 77, rule = B2-ac3ceir4-aijkz5cjkn6-ce7e8/S02cin3cijkq4ceqtwyz5cjkr6-en7
b3o4b3o4b3o4b3o5b3o3b3o5b3o4b3o6b3o3b3o6b3o2b3o8bo3bo12bo15bo$obobo2b
obobo2bobobo2bobobo3bobo2bo2bobo3bobobo2bobobo4bobo2bo2bobo5b2o4b2o6b
o3bo3bo10bo ...

H. H. P. M. P. Cole

New day, new rule.

B2cei3iq4aek5acikq6ckn/S1e2ac3ikq4k5cejq6k78

Rudimentary pattern collection (p1, p2, p3, p4, p6, p7, p8, p9, p10, p12, p13, p14, p15, p16, p18, p20, p30, p44, p282, c/2o, 2c/4o, 4c/8o, 4c/8o domino puffer, 6c/12o, c/4d, p30 c/2o gun)

x = 252, y = 332, rule ...

H. H. P. M. P. Cole

Pattern collection time

Code: Select all

x = 5, y = 5, rule = R2,C2,S1,3,B2,NW0000000000110100000000000
2obo2$obobo2$ob2o!

Code: Select all

x = 17, y = 9, rule = R2,C2,S0,2,B2,NW0000000000110100000000000
3o7bo4$3o7bo3bo4$3o7bo5bo!

H. H. P. M. P. Cole

x = 12, y = 1, rule = R2,C2,S1,B2,NW0000000000110100000000000
2obo4bob2o!

Reposting this.

I think it is time that we reconsider what "interesting" means.

This rule is not random, but it is nonexplosive and escaping.

x = 6, y = 10, rule = R2,C2,S1,3,B2,NW0000000000110010000000000
obo3 ...

H. H. P. M. P. Cole

Catagolue census

x = 11, y = 11, rule = B2kn3aeijr4ai5cinr/S1e2c3ajr4ajnqrtw5cky6e
2o7b2o$2o7b2o2$o6bo6$2o$2o!

Define an activated still-life as a spaceship which consists of, in one phase, a spark that dies in 1 generation and a still-life, which interact with each other one generation ...

H. H. P. M. P. Cole

Has anyone explored the diverse oscillators possible in the VN and LE neighbourhoods? These have very small neighbourhoods (the former, 4 cells and the latter, 3 cells) and despite there being zero non-B0 rules that have spaceships in them I believe that it would benefit to classify these oscillators.

H. H. P. M. P. Cole

For my sanity I will stop searching for 3c/8o and c/16o spaceships in my 50 NRSS mealworm rule (which I have proposed calling Mealworld). I never found the spaceships that I wanted to find, despite running both 3c/8o and c/16o searches, the former for about 30 hours, the latter for about 46 ...

H. H. P. M. P. Cole

For my sanity I will stop searching for 3c/8o and c/16o spaceships in my 50 NRSS mealworm rule (which I have proposed calling Mealworld). I never found the spaceships that I wanted to find, despite running both 3c/8o and c/16o searches, the former for about 30 hours, the latter for about 46 hours.

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Compounds in other rulespaces

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Cole's Cellular Automata

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Re: A 'life-emerging' INT rule?

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Re: Cole's sandbox

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Re: RLE copy/paste thread - everyone else

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Re: Random Nonexplosive Escaping Rules Project

Re: Random Nonexplosive Escaping Rules Project

Re: RLE copy/paste thread - everyone else

Re: Weaknesses of definitions of an 'interesting' or 'successful' rule

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Thread for basic non-CGOL questions

Re: Cole's sandbox

Re: Cole's sandbox