Construction of Series of Perfect Lattices by Layer Superposition

DOI10.17516/1997-1397-2017-10-3-353-361OpenAlexW2587548379MaRDI QIDQ5853135

Sergey B. Vasiliev, Nikolai N. Tarkhanov

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu565

zbMATH Keywords

division of spacespolyhedra and polytopesregular figureslattice packing and covering

Mathematics Subject Classification ID

Number theory (11-XX) Order, lattices, ordered algebraic structures (06-XX)

Cites Work

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• Perfect lattices as admissible centerings
• Partitioning of Euclidean spaces into L-polytopes of some perfect lattices
• Simplexes of L-subdivisions of Euclidean spaces
• The construction of perfect and extreme forms II

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