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

Mehmet Koca; Nazife Ozdes Koca; Mudhahir Al-Ajmi

doi:10.1142/S0219887812500351

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

Mehmet Koca, Nazife Ozdes Koca, Mudhahir Al-Ajmi

Physics

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

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 language	English
Article number	1250035
Journal	International Journal of Geometric Methods in Modern Physics
Volume	9
Issue number	4
DOIs	https://doi.org/10.1142/S0219887812500351
Publication status	Published - Jun 2012

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Keywords

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

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Cite this

Koca, M., Koca, N. O., & Al-Ajmi, M. (2012). 4D-polytopes and their dual polytopes of the coxeter group W(A 4) represented by quaternions. International Journal of Geometric Methods in Modern Physics, 9(4), [1250035]. https://doi.org/10.1142/S0219887812500351

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10.1142/S0219887812500351