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

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

2010-05-26

arxiv.org/abs/1005.4826v1

Computer Science

Formal Languages and Automata Theory

38p., 25 figures, 8 tables

Scientific paper

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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