Canonical substitutions tilings of Ammann-Beenker type

Authors:
E. O. Harriss;J. S. W. Lamb
Affiliations:
Department of Mathematics, Imperial College London, London SW7 2AZ, UK;Department of Mathematics, Imperial College London, London SW7 2AZ, UK
Venue:
Theoretical Computer Science - Combinatorics of the discrete plane and tilings
Year:
2004

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Abstract

We present a large class of parallelogram tilings that have two important features in common with the Ammann-Beenker tiling: they can be constructed by canonical projection from Z4 ⊂ R4 to a plane, and they admit substitution rules.