Article ID Journal Published Year Pages File Type
435918 Theoretical Computer Science 2008 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics