A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes

DOI10.1051/jp1:1997200zbMath0943.52501OpenAlexW1967439117MaRDI QIDQ4346474

Michael Baake, Christoph Richard, Joachim Hermisson

Publication date: 10 August 1997

Published in: Journal de Physique I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/jp1:1997200

zbMATH Keywords

rotational symmetrysymmetry structuretorus parametrizationquasiperiodic local isomorphism classesquasiperiodic tiling classes

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (10)

On the combinatorial characterization of quasicrystals ⋮ Quasiperiodic canonical-cell tiling with pseudo icosahedral symmetry ⋮ On symmetry groups of quasicrystals ⋮ On finite symmetry groups of some models of three-dimensional quasicrystals ⋮ Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies ⋮ Dynamics on the graph of the torus parametrization ⋮ On weak model sets of extremal density ⋮ Remarks on symmetries of 2D-quasicrystals ⋮ Spectral and arithmetic structures in aperiodic order ⋮ Cyclotomic aperiodic substitution tilings

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