Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
435918 | Theoretical Computer Science | 2008 | 12 Pages |
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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