FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 5, PAGES 79-84

Partition of Euclidean space into polyhedra induced by a small deformation of the densest lattice sphere packing

A. M. Gurin

Abstract

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The number of combinatorially nonequivalent Dirichlet--Voronoi diagrams constructed for the centers of balls in the packing obtained from the densest lattice packing of equal spheres by a small displacement of the spheres is estimated.

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Last modified: February 26, 2006