4D-polytopes and their dual polytopes of the coxeter group W(A 4) represented by quaternions

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Four-dimensional A 4 polytopes and their dual polytopes have been constructed as the orbits of the CoxeterWeyl group W(A 4) where the group elements and the vertices of the polytopes are represented by quaternions. Projection of an arbitrary W(A 4) orbit into three dimensions is made using the subgroup W(A 3). A generalization of the Catalan solids for 3D-polyhedra has been developed and dual polytopes of the uniform A 4 polytopes have been constructed.

Original languageEnglish
Article number1250035
JournalInternational Journal of Geometric Methods in Modern Physics
Issue number4
Publication statusPublished - Jun 2012
Externally publishedYes


  • 4D-polytopes
  • Coxeter groups
  • W(A )
  • dual polytopes
  • quaternions

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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