An outer totalistic weakly universal cellular automaton in the dodecagrid with four states

08/30/2021

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by   Maurice Margenstern, et al.

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In this paper, we prove that there is an outer totalistic weakly universal cellular automaton in the dodecagrid, the tessellation 5,3,4 of the hyperbolic 3D space, with four states. It is the first result in such a context.