4d-polytopes described by Coxeter diagrams and quaternions

Mehmet Koca*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2011

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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