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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2011 Volume 52, Number 6, Pages 1221–1233 (Mi smj2269)

This article is cited in 3 papers

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

V. A. Artamonova, S. Sánchezb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow
b Universidad Rey Juan Carlos, Madrid (Spain)

Abstract: We give a full description of the finite symmetry groups of the cut-and-project model for three-dimensional quasicrystals under the assumption that the phase space dimension is at most 3.

Keywords: crystallographic group, quasicrystal, symmetry group, cut-and-project model.

UDC: 512.94.3+51-72

Received: 17.09.2010
Revised: 11.08.2011


 English version:
Siberian Mathematical Journal, 2011, 52:6, 969–979

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© Steklov Math. Inst. of RAS, 2026