Alexander Kharazishvili
Abstract:
Some combinatorial results concerning finite decompositions (dissections) of a
k-dimensional cube into cubes (respectively, simplexes) of the same
dimension are presented in the paper. In connection with such decompositions,
the notion of a decomposability number is introduced and the problem of
description of all these numbers is discussed.
Keywords:
Cube, simplex, finite decomposition, decomposability number, convex polyhedron,
primitive extension, primitive polyhedron.
MSC 2000: 52A15, 52B05, 52B10