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Conference Papers Year : 2012

Substitutions and Strongly Deterministic Tilesets

Abstract

Substitutions generate hierarchical colorings of the plane. Despite the non-locality of substitution rules, one can extend them by adding compatible local matching rules to obtain locally checkable color- ings as the set of tilings of finite tileset. We show that the resulting tileset can furthermore be chosen strongly deterministic, a tile being uniquely determined by any two adjacent edges. A tiling by a strongly determin- istic tileset can be locally reconstructed starting from any infinite path that cross every line and column of the tiling.
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Dates and versions

hal-00661887 , version 1 (20-01-2012)

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Cite

Bastien Le Gloannec, Nicolas Ollinger. Substitutions and Strongly Deterministic Tilesets. Computability in Europe (CiE), Jun 2012, Cambridge, United Kingdom. pp 462-471, ⟨10.1007/978-3-642-30870-3_47⟩. ⟨hal-00661887⟩
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