Seven-state rotation-symmetric number-conserving cellular automaton that is not isomorphic to any septenary one

We consider two-dimensional cellular automata with the von Neumann neighborhood that satisfy two properties of interest from a modeling viewpoint: rotation symmetry (i.e., the local rule is invariant under rotation of the neighborhood by 90^{∘}) and number conservation (i.e., the sum of all the cell...

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Veröffentlicht in:	Physical review. E 2023-02, Vol.107 (2-1), p.024211-024211, Article 024211
Hauptverfasser:	Wolnik, Barbara, Nenca, Anna, Dzedzej, Adam, De Baets, Bernard
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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