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I just wanted to follow up on my reply, as I'd genuinely be interested in hearing your thoughts on the points I raised.
I realize you may be busy, and I don't expect an immediate response. However, since the discussion touches on both the classification of cellular automata and the ...

Fractals produced by systems of affine transformations are indeed very awesome. John Hutchinson and Michael Barnsley called them "IFS fractals" back in the 1980s, IFS standing for "iterated function system". Not sure if that's still a commonly recognized term, but "chaos game" seems to have ...

Sierpinski's Triangle Fractal Yellow-Red Flame.
A random chaos game!

I've been dealing with a seasonal cold recently, and while thinking about what my white blood cells are doing inside my body right now, I started thinking about cellular automata. :D

That somehow led me to this idea.
I came across this short video showing a white blood cell surrounding and ...

I've been playing around with this pattern for a while, and I can't quite figure out what's going on here :D . Any ideas?


It would help if you provided the rulestring. It looks like it's emulating a 1D rule.



Sure thing! I'll gather the additional information and share it with you as soon ...

I've been playing around with this pattern for a while, and I can't quite figure out what's going on here . Any ideas?

A long-lived, directional, caterpillar-like propagating structure with a dynamically reconstructed body and a changing tail!

unname4798 wrote: October 2nd, 2026, 9:11 am CallaLili4Ever:

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#R B34/S23
!
[[ PASTEDELTA 1 1 PASTET EVERY 1 PASTE 2o$2o! TRACK 1 1 ZOOM 1 AUTOSTART GPS 8 ]]

1and0nlycordershippr wrote: October 2nd, 2026, 9:35 am Another CallaLili4Ever:

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x = 2, y = 2, rule = R2,C2,S3-4,B3-4,NW0000000000001110011100111
2o$2o!
[[ PASTEDELTA 0 0 PASTET EVERY 1 PASTE 2o$2o! ]]

And the ButNot4Ever?

Any idea is highly welcome!

Can simple rules that lead to complex , even highly complex behavior be turned into a real , tangible , and visible machine ?
:?:
In other words:
Can we build an automaton whose rules are simple, yet whose execution gives rise to complex and highly complex behavior that can be observed ...

Here is a rather different kind of challenge.
Can you create something in Conway's Game of Life that looks like a galaxy ?
There are no strict rules here. No specific population, generation, size, or mathematical definition of a galaxy. Just use your imagination and see what you can create.
Inspired ...

I’m convinced that, one day, a deeper understanding of cellular automata will allow us to solve many of these challenges elegantly, in ways that come surprisingly close to the reality of the problem.
So, let this stand as a record until that day comes.

The challenge:
Starting from a single live cell, create a pattern that reaches exactly 256 live cells for the first time in Generation 256.

Rules:

Start with a single live cell
Use Golly's native capabilities as much as possible, without Python or Lua programming
The population must be ...

unname4798 wrote: September 11th, 2026, 12:31 pm Already done. This is a Julia Set of a point (∞,∞):

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!

Haha, nice one! But I was thinking of something a little more interesting than the Julia Set of (∞,∞).

We have already explored whether Golly can reproduce phenomena that do not initially look like cellular automata.
So, here is the next challenge:
Can a Julia set be reproduced in Golly using its native capabilities, preferably without programming?
The goal is not simply to display an image of a ...

By "no programming languages", I mean no external programming to search for, generate, transform, or control the solution. Manually searching existing rules or patterns is fine.


So why not? Manually searching for a specific methuselah (or diehard) in THIS specific configuration will be ...

What do you mean by no python, lua, ada, and other languages? as in they cannot be used to identify patterns, so we would need to manually search? also, is this challenge limited to life or also to OCA? And also, with all due respect, why this specifically?

If OCA is allowed, I'll assume LtL is ...

Hi Moderators ,
Following LuveelVoom ’s suggestion, I’d like to consolidate my recent OCA challenges into a single thread, using the name suggested by TheWayOfTheCon :

OCA Challenges

Could you please merge these three existing threads into a new thread under the title OCA Challenges ?

1. [Can ...