Branching of the W(H 4) polytopes and their dual polytopes under the coxeter groups W(A 4) and W(H 3) represented by quaternions

Mehmet Koca*, Nazife Özdeş Koca, Mudhahir Al-Ajmi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


4-dimensional H4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter- Weyl group W(H 4) , where the group elements and the vertices of the polytopes are represented by quaternions. Projection of an arbitrary W(H 4) orbit into three dimensions is made preserving the icosahedral subgroup W(H 3) and the tetrahedral subgroup W(A 3) . The latter follows a branching under the Coxeter group W(A 4) . The dual polytopes of the semi-regular and quasi-regular H 4 polytopes have been constructed.

Original languageEnglish
Pages (from-to)309-333
Number of pages25
JournalTurkish Journal of Physics
Issue number3
Publication statusPublished - 2012
Externally publishedYes


  • 4D polytopes
  • Coxeter groups
  • Dual polytopes
  • Quaternions
  • W(H4)

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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