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arXiv · 1102.1750

Some comments on pinwheel tilings and their diffraction

Uwe Grimm·Xinghua Deng
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Abstract

The pinwheel tiling is the paradigm for a substitution tiling with circular symmetry, in the sense that the corresponding autocorrelation is circularly symmetric. As a consequence, its diffraction measure is also circularly symmetric, so the pinwheel diffraction consists of sharp rings and, possibly, a continuous component with circular symmetry. We consider some combinatorial properties of the tiles and their orientations, and a numerical approach to the diffraction of weighted pinwheel point sets.

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Uwe Grimm, Xinghua Deng. 2011-02-08. Some comments on pinwheel tilings and their diffraction. https://doi.org/10.1088/1742-6596%2F284%2F1%2F012032

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