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.

Location: http://mech.math.msu.su/~fpm/eng/k05/k055/k05506h.htm

Last modified: February 26, 2006