Sergey B. Vasiliev, Nikolai Tarkhanov, “Construction of series of perfect lattices by layer superposition”, J. Sib. Fed. Univ. Math. Phys., 2017, Volume 10, Issue 3,Pages <nobr>353

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

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.

UDC: 517.55

Received: 08.12.2016
Received in revised form: 16.01.2017
Accepted: 27.03.2017

Language: English

DOI: 10.17516/1997-1397-2017-10-3-353-361