A geometrical approach of quasiperiodic tilings

DOI10.1007/BF01218479zbMath0677.52006MaRDI QIDQ1123409

A. Katz, Michel Duneau, Christophe Oguey

Publication date: 1988

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

zbMATH Keywords

quasicrystalsquasi-periodic tilings

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (10)

On diffraction by aperiodic structures ⋮ Theory of matching rules for the 3-dimensional Penrose tilings ⋮ Convex polyhedral tilings hidden in crystals and quasicrystals ⋮ Archimedean Voronoi spiral tilings ⋮ Atlas of quasicrystalline tilings. ⋮ Index theory for quasi-crystals. I: Computation of the gap-label group ⋮ Complexity and cohomology for cut-and-projection tilings ⋮ Cut-and-project graphs and other complexes ⋮ Atomic clusters and atomic surfaces in icosahedral quasicrystals ⋮ Local rules for multi-dimensional quasicrystals

Cites Work

• Unnamed Item
• Pentaplexity. A class of non-periodic tilings of the plane
• Similarity of automorphisms of the torus
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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