Structure des Ensembles de Pavages.

Abstract : In this article, we start by presenting some basic definitions, some new notions about regularity as well as a topology on the set of tilings. From there, after the study of a new structure on the tiling sets, we give some combinatorial results about the class of quasiperiodic tilings and we show two examples of set of tilings explaining the limits of the propositions given here. We finaly give some indications about 1D-periodicity in tilings.
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Bruno Durand, Christophe Papazian. Structure des Ensembles de Pavages.. [Research Report] LIP RR-1997-30, Laboratoire de l'informatique du parallélisme. 1997, 2+22p. ⟨hal-02101973⟩

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