A new weakly universal cellular automaton in the 3D hyperbolic space with two states

preprint2010arXivOpen access

Abstract

In this paper, we show a construction of a weakly universal cellular automaton in the 3D hyperbolic space with two states. The cellular automaton is rotation invariant and, moreover, based on a new implementation of a railway circuit in the dodecagrid,the construction is a truly 3D-one.

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