Structural aspects of tilings

Alexis Ballier (1) , Bruno Durand (1) , Emmanuel Jeandel (1)

1 LIF - Laboratoire d'informatique Fondamentale de Marseille - UMR 6166

We are interested in the structure of tilings that can be obtained from a given tile sets. We choose to study this structure by comparing the set of finite patterns they contain. We use two different approaches of the same notions: one combinatorial, the other topological. These two approaches provide nice results somehow surprising.

Mots clés: cantor-bendixson; orders; patterns; tilings; topology

Domaines: Autre [cs.OH]

Alexis Ballier, Bruno Durand, Emmanuel Jeandel. Structural aspects of tilings. 2007. ⟨hal-00145800v1⟩