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

A. M. Gurin

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine

Abstract: 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.

UDC: 519.116+515.122.4

 English version: Journal of Mathematical Sciences (New York), 2007, 146:1, 5505–5508

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