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On Decompositions of a Cube into Cubes and Simplexes

On Decompositions of a Cube into Cubes and Simplexes 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On Decompositions of a Cube into Cubes and Simplexes

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References (7)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2006.285
Publisher site
See Article on Publisher Site

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.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Jun 1, 2006

Keywords: Cube; simplex; finite decomposition; decomposability number; convex polyhedron; primitive extension; primitive polyhedron

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