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arxiv: 0704.2521 · v1 · submitted 2007-04-19 · 🧮 math.MG

Substitution tilings with statistical circular symmetry

classification 🧮 math.MG
keywords substitutiontilingsinfinitelymanyorientationstilesappearcircular
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Two new series of substitution tilings are introduced in which the tiles appear in infinitely many orientations. It is shown that several properties of the well-known pinwheel tiling do also hold for these new examples, and, in fact, for all substitution tilings showing tiles in infinitely many orientations.

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