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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 3, Pages 353–361
DOI: https://doi.org/10.17516/1997-1397-2017-10-3-353-361 (Mi jsfu565) 		 
Construction of series of perfect lattices by layer superposition

Sergey B. Vasiliev, Nikolai Tarkhanov

University of Potsdam, Karl-Liebknecht-Str. 24/25, Potsdam, 14476, Germany
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DOI: https://doi.org/10.17516/1997-1397-2017-10-3-353-361
Abstract: We construct a new series of perfect lattices in n dimensions by the layer superposition method of Delaunay–Barnes.
Keywords: lattice packing and covering, polyhedra and polytopes, regular figures, division of spaces.
Received: 08.12.2016
Received in revised form: 16.01.2017
Accepted: 27.03.2017
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Sergey B. Vasiliev, Nikolai Tarkhanov, “Construction of series of perfect lattices by layer superposition”, J. Sib. Fed. Univ. Math. Phys., 10:3 (2017), 353–361
Citation in format AMSBIB
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\by Sergey~B.~Vasiliev, Nikolai~Tarkhanov
\paper Construction of series of perfect lattices by layer superposition
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 3
\pages 353--361
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\crossref{https://doi.org/10.17516/1997-1397-2017-10-3-353-361}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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