Penrose tilings as coverings of congruent decagons

DOI10.1007/BF00239998zbMath0893.52011WikidataQ60728950 ScholiaQ60728950MaRDI QIDQ1922803

Petra Gummelt

Publication date: 4 August 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

coveringquasicrystalPenrose tilingsaperiodic tile

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (11)

Universal groups for point-sets and tilings. ⋮ Discrete quasiperiodic sets with predefined local structure ⋮ DECAGONAL QUASICRYSTAL PATTERNS WITH EIGHT PROTOTILES ⋮ AN APERIODIC TILE WITH EDGE-TO-EDGE ORIENTATIONAL MATCHING RULES ⋮ The toroidal unit cell of a quasicrystal ⋮ Forcing nonperiodicity with a single tile ⋮ Aperiodic tilings with one prototile and low complexity atlas matching rules ⋮ Critical behavior of three-state Potts model on decagonal covering quasilattice ⋮ Quasicrystals -- the impact of N. G. de Bruijn ⋮ Atomic clusters and atomic surfaces in icosahedral quasicrystals ⋮ The hexagonal parquet tiling: \(k\)-isohedral monotiles with arbitrarily large \(k\).

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