Search found 3 matches

by 1_1
February 19th, 2024, 12:46 pm
Forum: General Discussion
Topic: Create your own terminology
Replies: 511
Views: 267330

Re: Create your own terminology

This is a somewhat silly concept, but I wanted to share anyways. Hoping this is the right place to share this concept; if it's not, I can make my own topic.

Elementary metacell: a metacell which is not engineered.

You could say that every CA rule has a trivial elementary 2-state metacell, with the ...
by 1_1
January 17th, 2024, 5:14 pm
Forum: General Discussion
Topic: Unproven conjectures
Replies: 561
Views: 302997

Re: Unproven conjectures


Welcome to the forums!!

I believe amling was using an SAT solver to find the most recent update to the number -- in that case there already is an algorithm.


Hi! I'm happy to be welcomed!

From what I gather, that could only find the configurations of weights assuming they already exist, which ...
by 1_1
January 17th, 2024, 12:42 pm
Forum: General Discussion
Topic: Unproven conjectures
Replies: 561
Views: 302997

Re: Unproven conjectures


Nice work! Unfortunately, it seems to me that no finite NxN box has weights that would give a strict 1/2 density bound.


What if there was an algorithm which could, for any real number larger than 1/2, produce a set of weights in a finite box which gives a density bound less than that real ...