journal article
oaidoi:10.1016/j.tcs.2007.10.028

Self-dual tilings with respect to star-duality

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Publication date
4 February 2008
Publisher
Elsevier Ltd.
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    Abstract

    AbstractThe 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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