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arXiv · 1510.09129

A weakly universal cellular automaton on the pentagrid with three states

Maurice Margenstern
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Abstract

In this paper, we prove that there is a weakly universal cellular automaton on the pentagrid with three states which is rotation invariant and which uses \`a la Moore neighbourhood. Moreover, at each step of the computation, the set of non quiescent states has always infinitely many cycles.

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Maurice Margenstern. 2015-10-30. A weakly universal cellular automaton on the pentagrid with three states. https://arxiv.org/abs/1510.09129

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