Self-dual tilings with respect to star-duality

Details Self-dual tilings with respect to star-duality Self-dual tilings with respect to star-duality

2007-04-19

arxiv.org/abs/0704.2528v1

Mathematics

Metric Geometry

15 pages, 6 figures

Scientific paper

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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