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About the embedding of one dimensional cellular automata into hyperbolic cellular automata

Published 11 Apr 2010 in cs.FL and nlin.CG | (1004.1830v1)

Abstract: In this paper, we look at two ways to implement determinisitic one dimensional cellular automata into hyperbolic cellular automata in three contexts: the pentagrid, the heptagrid and the dodecagrid, these tilings being classically denoted by ${5,4}$, ${7,3}$ and ${5,3,4}$ respectively.

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