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Parallel embeddings of octahedral polyhedra

  • L. G. Babat and A. A. Fridman
Published/Copyright: July 9, 2008
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Discrete Mathematics and Applications
From the journal Volume 18 Issue 3

Abstract

We construct a combinatorial representation of an octahedral polyhedron (crystal), find its geometrical parameters, and show that the parameters of such a polyhedron and its mirror image coincide and are simply measured.

Using the combinatorial representation of a diamond, we are able to construct an algorithm which finds a round cut diamond of maximum radius embedded into an octahedral diamond and determines how to place this cut diamond in the octahedral one. This results in creating a technological process to cut round diamonds of maximum value from octahedral ones.

Received: 2006-10-20
Revised: 2007-03-22
Published Online: 2008-07-09
Published in Print: 2008-June

© de Gruyter 2008

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