On Decompositions of a Cube into Cubes and Simplexes

نویسندگان

  • ALEXANDER KHARAZISHVILI
  • A. KHARAZISHVILI
چکیده

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. 2000 Mathematics Subject Classification: 52A15, 52B05, 52B10.

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تاریخ انتشار 2006