On the combinatorial characterization of quasicrystals

DOI10.1016/j.geomphys.2006.02.001zbMath1167.82367OpenAlexW2088496239MaRDI QIDQ856758

Tamás Réti, Károly jun. Böröczky, Gergely Wintsche

Publication date: 7 December 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.02.001

zbMATH Keywords

fullerenesPenrose tilingaperiodic systemWeaire sum rule

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (2)

Bracing rhombic structure by one-dimensional tensegrities ⋮ Remarks to the topological characterization of cellular systems

Cites Work

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• The torus parametrization of quasiperiodic LI-classes
• Mean-Value Formulae for the Neighbourhood of the Typical Cell of a Random Tessellation
• A Guide to the Symmetry Structure of Quasiperiodic Tiling Classes
• Dynamics of self-similar tilings
• Repetitive Delone sets and quasicrystals
• Local Complexity of Delone Sets and Crystallinity

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