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arxiv: 1203.1387 · v1 · pith:GX4U22M2new · submitted 2012-03-07 · 🧮 math.DS · math.CO

Combinatorics and topology of the Robinson tiling

classification 🧮 math.DS math.CO
keywords proverobinsonsubshiftallowscohomologycombinatoricscomputedescribe
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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.

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