Self-dual tilings with respect to star-duality

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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.
15 pages, 6 figures

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Metric Geometry, 52C23

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http://salesiana.dossiersoluciones.com/handle/123456789/127611

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.2528
 http://arxiv.org/abs/0704.2528

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arXiv