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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 1, Pages 28–35 (Mi sjim816)  
This article is cited in 1 scientific paper (total in 1 paper)

$4$-crystals and quasicrystals

R. M. Garipov, M. S. Kotel'nikova

Lavrent'ev Institute of Hydrodynamics, 15 Lavrent'ev av., 630090 Novosibirsk
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Abstract: $4$-crystals are periodic material structures in the $4$-dimensional space-time. The classical crystallographic relations are generalized to this case. The quasicrystals are solids whose X-ray photograph and electronogram contain regular pentagons. It is shown that the quasicrystals obtained experimentally by Shechtman et al. are $4$-crystals.
Keywords: crystal, polarizability, symmetry.
Received: 14.08.2013
Bibliographic databases:
Document Type: Article
UDC: 548.1
Language: Russian
Citation: R. M. Garipov, M. S. Kotel'nikova, “$4$-crystals and quasicrystals”, Sib. Zh. Ind. Mat., 17:1 (2014), 28–35
Citation in format AMSBIB
\Bibitem{GarKot14}
\by R.~M.~Garipov, M.~S.~Kotel'nikova
\paper $4$-crystals and quasicrystals
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 1
\pages 28--35
\mathnet{http://mi.mathnet.ru/sjim816}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379251}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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