Combinatorial substitutions and sofic tilings

A combinatorial substitution is a map over tilings which allows to define sets of tilings with a strong hierarchical structure. In this paper, we show that such sets of tilings are sofic, that is, can be enforced by finitely many local constraints. This extends some similar previous results (Mozes’90, GoodmanStrauss’98) in a much shorter presentation.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Thomas Fernique, Nicolas Ollinger
• Keywords: Combinatorial Substitution, CORR 2010, Education, Local Constraints, Strong Hierarchical Structure