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arXiv · 0704.2528

Self-dual tilings with respect to star-duality

Dirk Frettlöh
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Abstract

The concept of star-duality is described for self-similar cut-and-project tilings in arbitrary dimensions. This generalises Thurston's concept of a Galois-dual tiling. The dual tilings of the Penrose tilings as well as the Ammann-Beenker tilings are calculated. Conditions for a tiling to be self-dual are obtained.

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Dirk Frettlöh. 2007-04-19. Self-dual tilings with respect to star-duality. https://arxiv.org/abs/0704.2528

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