Group theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions

DOI10.1088/1751-8113/40/27/013zbMath1116.52005OpenAlexW2066908218MaRDI QIDQ3593331

Ramazan Koç, Mehmet Koca, Mudhahir Al-Ajmi

Publication date: 20 July 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/40/27/013

zbMATH Keywords

Coxeter groupsLie algebrasquasicrystallography

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Statistical mechanics of crystals (82D25) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (7)

SU(5) grand unified theory, its polytopes and 5-fold symmetric aperiodic tiling ⋮ 4D-POLYTOPES AND THEIR DUAL POLYTOPES OF THE COXETER GROUP W(A₄) REPRESENTED BY QUATERNIONS ⋮ SNUB 24-CELL DERIVED FROM THE COXETER–WEYL GROUP W(D₄) ⋮ Clifford spinors and root system induction: \(H_4\) and the grand antiprism ⋮ Catalan solids derived from three-dimensional-root systems and quaternions ⋮ Regular and irregular chiral polyhedra from Coxeter diagrams via quaternions ⋮ Binary icosahedral group and 600-cell

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