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International Journal of Computer Mathematics Volume 85, 2008 - Issue 3-4: Recent Advances in Computational and Applied Mathematics in Science and Engineering
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Original Articles

Remarks on symmetries of 2D-quasicrystals

V. Artamonov Department of Algebra, Faculty of Mechanics and Mathematics, Moscow State University, Russia
&
S. Sànchez Department of Applied Mathematics, University Rey Juan Carlos, Madrid, SpainCorrespondence[email protected]
Pages 319-328 | Received 23 Apr 2007, Accepted 25 Apr 2007, Published online: 22 Sep 2010
 
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Abstract

The paper presents a strict mathematical proof of the classifications of finite groups of symmetries of two-dimensional quasicrystals given by Hermisson, Richard and Baake in 1997.

Acknowledgements

We thank Prof. E.S. Golod for useful consultations concerning cyclotomic fields and the referees for their valuable comments and remarks. This research was partially supported by grants RFBR 06-01-00037, NSh-5666.2006.1.

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