Signals for Cellular Automata in Dimension 2 or Higher

  • Authors:
  • Jean-Christophe Dubacq;Véronique Terrier

  • Affiliations:
  • -;-

  • Venue:
  • LATIN '02 Proceedings of the 5th Latin American Symposium on Theoretical Informatics
  • Year:
  • 2002

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Abstract

We investigate how increasing the dimension of the array can help to draw signals on cellular automata. We show the existence of a gap of constructible signals in any dimension. We exhibit two cellular automata in dimension 2 to show that increasing the dimension allows to reduce the number of states required for some constructions.