4d-polytopes described by Coxeter diagrams and quaternions

Mehmet Koca

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

4D-polytopes and their dual polytopes can be described as the orbits of the rank-4 Coxeter-Weyl groups. Their symmetries follow from the quaternionic descriptions of the rank-4 Coxeter-Dynkin diagrams. There exists a one to one correspondence between the finite subgroups of quaternions and the rank-4 Coxeter-Weyl groups.

Original languageEnglish
Article number012040
JournalJournal of Physics: Conference Series
Volume284
Issue number1
DOIs
Publication statusPublished - 2011

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polytopes
quaternions
diagrams
subgroups
orbits
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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4d-polytopes described by Coxeter diagrams and quaternions. / Koca, Mehmet.

In: Journal of Physics: Conference Series, Vol. 284, No. 1, 012040, 2011.

Research output: Contribution to journalArticle

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