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

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Matematicheskie Zametki, 2010, Volume 87, Issue 3, Pages 323–329
DOI: https://doi.org/10.4213/mzm5185 (Mi mzm5185)

This article is cited in 9 scientific papers (total in 9 papers)

On Symmetry Groups of Quasicrystals

V. A. Artamonov^a, S. Sanchez^b

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

Full-text PDF (451 kB) Citations (9)

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

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.

Received: 17.06.2008
Revised: 06.10.2009

English version:
Mathematical Notes, 2010, Volume 87, Issue 3, Pages 303–308
DOI: https://doi.org/10.1134/S0001434610030016

Bibliographic databases:

Document Type: Article

UDC: 512.546.3+51-72

Language: Russian

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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Linking options:

https://www.mathnet.ru/eng/mzm5185

https://doi.org/10.4213/mzm5185

https://www.mathnet.ru/eng/mzm/v87/i3/p323

This publication is cited in the following 9 articles:

Rosenfeld V.R., “The Toroidal Unit Cell of a Quasicrystal”, J. Math. Chem., 55:10 (2017), 1941–1950
Prokhoda A.S., “About Crystal Lattices and Quasilattices in Euclidean Space”, Crystallogr. Rep., 62:4 (2017), 505–510
Rosenfeld V.R., Nordahl T.E., “Semigroup theory of symmetry”, J. Math. Chem., 54:9 (2016), 1758–1776
V. P. Maslov, “New probability theory compatible with the new conception of modern thermodynamics. Economics and crisis of debts”, Russ. J. Math. Phys., 19:1 (2012), 63
V. A. Artamonov, S. Sánchez, “On finite symmetry groups of some models of three-dimensional quasicrystals”, Siberian Math. J., 52:6 (2011), 969–979
V. P. Maslov, “Mathematical conception of “Phenomenological” equilibrium thermodynamics”, Russ. J. Math. Phys., 18:4 (2011), 440
V. P. Maslov, “Mixture of new ideal gases and the solution of the Gibbs and Einstein paradoxes”, Russ. J. Math. Phys., 18:1 (2011), 83
V. P. Maslov, T. V. Maslova, “Main axiom of thermodynamics and entropy of number theory: Tunnel and ultrasecond quantization”, Math Notes, 90:3-4 (2011), 385
V. P. Maslov, “A new approach to probability theory and thermodynamics”, Math Notes, 90:1-2 (2011), 125

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	242
References:	90
First page:	23

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