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paper

Combinatorics and topology of the Robinson tiling

arXiv:1203.1387

Abstract

We study the space of all tilings which can be obtained using the Robinson tiles (this is a two-dimensional subshift of finite type). We prove that it has a unique minimal subshift, and describe it by means of a substitution. This description allows to compute its cohomology groups, and prove that it is a model set.

Contains a short version in French (2 pages), longer version in English (4 pages), and an appendix