Weak matching rules for quasicrystals

DOI10.1007/BF02097107zbMath0701.05059OpenAlexW2083267743WikidataQ56443075 ScholiaQ56443075MaRDI QIDQ913829

Joshua E. S. Socolar

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02097107

zbMATH Keywords

quasicrystalline tilingWeak matching rules

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Graph theory (05C99) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (11)

Local rules for pentagonal quasi-crystals ⋮ Effective S-adic Symbolic Dynamical Systems ⋮ Meyer's concept of quasicrystal and quasiregular sets ⋮ Weak local rules for planar octagonal tilings ⋮ Canonical projection tilings defined by patterns ⋮ Substitution discrete plane tilings with \(2n\)-fold rotational symmetry for odd \(n\) ⋮ No weak local rules for the \(4_p\)-fold tilings ⋮ The mysterious Mr. Ammann ⋮ Weak colored local rules for planar tilings ⋮ Cyclotomic aperiodic substitution tilings ⋮ When periodicities enforce aperiodicity

Cites Work

• Theory of matching rules for the 3-dimensional Penrose tilings
• Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings
• Random tilings with quasicrystal order: transfer-matrix approach
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