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Über Wirkungsbereichsteilungen von kubischer Symmetrie *

Veröffentlicht/Copyright: 25. August 2010

Abstract.

Partitions of the three-dimensional space by Dirichlet domains with cubic symmetry have been studied and a method of their derivation is described. Detailed results are given for a section through a zone of high instability in the space group I4132-O8. 172 types of polyhedra could be found in this section and their three-dimensional fields of existence were determined. Two types of Dirichlet domains with 38 faces and 70 vertices were discovered.

ct. Partitions of the three-dimensional space by Dirichlet domains with cubic symmetry have been studied and a method of their derivation is described. Detailed results are given for a section through a zone of high instability in the space group I4132-O8. 172 types of polyhedra could be found in this section and their three-dimensional fields of existence were determined. Two types of Dirichlet domains with 38 faces and 70 vertices were discovered.

Published Online: 2010-8-25
Published in Print: 1981-2-1

© 2015 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München

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