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Construction of series of perfect lattices by layer superposition

  • We construct a new series of perfect lattices in n dimensions by the layer superposition method of Delaunay-Barnes.

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Metadaten
Author:Serguei Vasiliev, Nikolai Nikolaevich TarkhanovORCiDGND
URN:urn:nbn:de:kobv:517-opus4-100591
ISSN:2193-6943 (online)
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Potsdam (5 (2016)11)
Publisher:Universitätsverlag Potsdam
Place of publication:Potsdam
Document Type:Preprint
Language:English
Year of first Publication:2016
Year of Completion:2016
Publishing Institution:Universität Potsdam
Publishing Institution:Universitätsverlag Potsdam
Release Date:2016/12/09
Tag:division of spaces; lattice packing and covering; polyhedra and polytopes; regular figures
Volume:5
Issue:11
Pagenumber:11
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC Classification:11-XX NUMBER THEORY / 11Hxx Geometry of numbers (For applications in coding theory, see 94B75) / 11H31 Lattice packing and covering [See also 05B40, 52C15, 52C17]
51-XX GEOMETRY (For algebraic geometry, see 14-XX) / 51Mxx Real and complex geometry / 51M20 Polyhedra and polytopes; regular figures, division of spaces [See also 51F15]
52-XX CONVEX AND DISCRETE GEOMETRY / 52Cxx Discrete geometry / 52C17 Packing and covering in n dimensions [See also 05B40, 11H31]
Publication Way:Universitätsverlag Potsdam
Collections:Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2016
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht