On finite symmetry groups of some models of three-dimensional quasicrystals

DOI10.1134/S0037446611060024zbMath1237.52017OpenAlexW2014558781MaRDI QIDQ662639

Juan-Miguel Gracia

Publication date: 24 February 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446611060024

zbMATH Keywords

symmetry groupquasicrystalcrystallographic groupcut-and-project model

Mathematics Subject Classification ID

Other geometric groups, including crystallographic groups (20H15) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Cites Work

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• On symmetry groups of quasicrystals
• The torus parametrization of quasiperiodic LI-classes
• Some aspects of the theory of quantum groups
• A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes
• Self-similarity of quasilattices in two dimensions. I. The n-gonal quasilattice
• Remarks on symmetries of 2D-quasicrystals
• Encyclopedia of Distances

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