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Re:Wolfram Rule 30 Prizes by GistNoesis on Tuesday October 01, 2019 @06:51PM (#21131722)
>any cellular automaton that has something like 3-dimensional rotational symmetry

Kind of cheating : but a differentiable 3d field of real numbers following a local Hamiltonian evolution is a kind of cellular automaton : it has a lot of states 2^32 and local evolution rules are the mathematical ones for differentiable calculus so they encode the rotational symmetry, you can approximate to any levels of desired precision.

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