Keyword: Dual Polytopes : Search

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Search name	Searched On	Run search
Keyword: Mineralization (8)	23 Mar 2025	Run
Keyword: Dual Polytopes (2)	23 Mar 2025	Run
Keyword: Feature Points (4)	23 Mar 2025	Run
Keyword: Supermanifolds (11)	23 Mar 2025	Run
Keyword: Truncated Data (4)	23 Mar 2025	Run

articleNo Access
4D-POLYTOPES AND THEIR DUAL POLYTOPES OF THE COXETER GROUP W(A₄) REPRESENTED BY QUATERNIONS
- MEHMET KOCA,
- NAZIFE OZDES KOCA, and
- MUDHAHIR AL-AJMI
International Journal of Geometric Methods in Modern Physics06 May 2012
Preview Abstract
Four-dimensional A₄ polytopes and their dual polytopes have been constructed as the orbits of the Coxeter–Weyl group W(A₄) where the group elements and the vertices of the polytopes are represented by quaternions. Projection of an arbitrary W(A₄) orbit into three dimensions is made using the subgroup W(A₃). A generalization of the Catalan solids for 3D-polyhedra has been developed and dual polytopes of the uniform A₄ polytopes have been constructed.
articleNo Access
QUATERNIONIC CONSTRUCTION OF THE W(F₄) POLYTOPES WITH THEIR DUAL POLYTOPES AND BRANCHING UNDER THE SUBGROUPS W(B₄) AND W(B₃) × W(A₁)
- MEHMET KOCA,
- MUDHAHIR AL-AJMI, and
- NAZIFE OZDES KOCA
International Journal of Geometric Methods in Modern Physics03 Apr 2013
Preview Abstract
Four-dimensional F₄ polytopes and their dual polytopes have been constructed as the orbits of the Coxeter–Weyl group W(F₄ ) where the group elements and the vertices of the polytopes are represented by quaternions. Branchings of an arbitrary W(F₄ ) orbit under the Coxeter groups W(B₄) and W(B₃) × W(A₁) have been presented. The role of group theoretical technique and the use of quaternions have been emphasized.

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