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nlin.CG2023
A strongly universal cellular automaton on the pentagrid with six states and Moore neighbourhood
Maurice Margenstern
In this paper, we prove that there is a strongly universal cellular automaton on the pentagrid with six states. For each cell c, Moore neighbourhood consists of the cells which sha…
cs.FL2023
A strongly universal cellular automaton on the heptagrif with six states
Maurice Margenstern
In this paper, we prove that there is a strongly universal cellular automaton on the heptagrid with six states which is rotation invariant. This improves a previous paper of the au…
cs.FL2023
A weakly universal weighted cellular automaton in the heptagrid with 6 states
Maurice Margenstern
In this paper we prove that there is a weakly universal weighted cellular automaton in the heptagrid, the tessellation {7,3} of the hyperbolic plane, with 6 states. The present pap…