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A weakly universal cellular automaton on the pentagrid with three states

Published 30 Oct 2015 in cs.DM and nlin.CG | (1510.09129v1)

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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