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Mat. Zametki, 2010, Volume 87, Issue 3, Pages 323–329 (Mi mz5185)  

This article is cited in 4 scientific papers (total in 4 papers)

On Symmetry Groups of Quasicrystals

V. A. Artamonova, S. Sanchezb

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

Abstract: A relationship between two types of symmetry groups of quasicrystals in the cut-and-project model is studied.

Keywords: quasicrystal, symmetry group, proper symmetry group, translation subgroup, point group, cut-and-project method

DOI: https://doi.org/10.4213/mzm5185

Full text: PDF file (451 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2010, 87:3, 303–308

Bibliographic databases:

UDC: 512.546.3+51-72
Received: 17.06.2008
Revised: 06.10.2009

Citation: V. A. Artamonov, S. Sanchez, “On Symmetry Groups of Quasicrystals”, Mat. Zametki, 87:3 (2010), 323–329; Math. Notes, 87:3 (2010), 303–308

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. A. Artamonov, S. Sánchez, “On finite symmetry groups of some models of three-dimensional quasicrystals”, Siberian Math. J., 52:6 (2011), 969–979  mathnet  crossref  mathscinet  isi
    2. Rosenfeld V.R., Nordahl T.E., “Semigroup theory of symmetry”, J. Math. Chem., 54:9 (2016), 1758–1776  crossref  mathscinet  zmath  isi  elib  scopus
    3. Rosenfeld V.R., “The Toroidal Unit Cell of a Quasicrystal”, J. Math. Chem., 55:10 (2017), 1941–1950  crossref  mathscinet  zmath  isi  scopus
    4. Prokhoda A.S., “About Crystal Lattices and Quasilattices in Euclidean Space”, Crystallogr. Rep., 62:4 (2017), 505–510  crossref  isi  scopus
  • Математические заметки Mathematical Notes
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