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Quasicrystals and their symmetries

Abstract

This paper is a survey of results on symmetries of crystals and of some results on a mathematical approach to the theory of quasicrystals and their symmetries.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 10, No. 3, pp. 3–10, 2004.

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Artamonov, V.A. Quasicrystals and their symmetries. J Math Sci 139, 6657–6662 (2006). https://doi.org/10.1007/s10958-006-0382-5

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Keywords

  • Symmetry Group
  • Inverse Semigroup
  • Linear Span
  • Rotation Group
  • Dihedral Group