Self-dual tilings with respect to star-duality
Metric Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.0704.2528,
title = {Self-dual tilings with respect to star-duality},
author = {Dirk Frettlöh},
journal= {arXiv preprint arXiv:0704.2528},
year = {2007}
}