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math.MG2007
Self-dual tilings with respect to star-duality
Dirk Frettlöh
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 til…
math.MG2006
Duality of Model Sets Generated by Substitutions
D. Frettlöh
The nature of this paper is twofold: On one hand, we will give a short introduction and overview of the theory of model sets in connection with nonperiodic substitution tilings and…