I wonder if the 3D version exhibits behaviors similar to the 2D version, including periodic patterns.
I also have to link my favorite pattern, XKCD's homage to John Conway: https://xkcd.com/2293/
I wonder how complex a simulator of the Game of Life 3D itself would be? https://news.ycombinator.com/item?id=39799755
Looks cool, although when I run it the simulation always seems to halt after a couple dozen steps.
https://www.youtube.com/watch?v=DwYGgNebf_w Now do it in 5D
A friend of mine made something like this in WebGL for a computer graphics class a few years ago. I thought it was pretty neat.
This could be fun to view on an Apple Vision Pro or other similar device.
Imagine. And all that work trying to derive physics from TWO dimensional finite automata.
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Nice!! I had a lot of fun with a project like this with some more generalized rulesets. This video got the most views: https://www.youtube.com/watch?v=EW9Q0qMc2Xc (just running 3d Brian's Brain) but I like this one the most, with a much more general ruleset: https://www.youtube.com/watch?v=SoJvS6GuM3c&t=90s
The code is here: https://github.com/heyitsguay/gol3d
I keep meaning to go back and create an automated ruleset explorer that looks for stable but non-oscillating and non-constant population counts. Maybe someday...