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Re:Wolfram Rule 30 Prizes by mietek on Tuesday October 01, 2019 @05:53PM (#21131130)
> Personally, I am curious if there is any cellular automaton that has something like 3-dimensional rotational symmetry.

Have you seen the Miller-Fredkin paper on circular motion of strings in cellular automata?

https://arxiv.org/abs/1206.2060

Re:Wolfram Rule 30 Prizes by lacker on Thursday October 03, 2019 @02:09AM (#21144200)
I haven't seen that, but the fact that you posted this interesting link makes me glad I commented! Will check it out