Self-dual tilings with respect to star-duality

  • Authors:

  • D. Frettlöh

  • Affiliations:

  • Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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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.