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SNUB 24-CELL DERIVED FROM THE COXETER–WEYL GROUP W(D4)

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Publication:4917290
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DOI10.1142/S0219887812500685zbMath1267.51015arXiv1106.3433WikidataQ60139386 ScholiaQ60139386MaRDI QIDQ4917290

Muataz Al-Barwani, Nazife Ozdes Koca, Mehmet Koca

Publication date: 29 April 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3433

zbMATH Keywords

quaternionssnub 24-cellCoxeter-Weyl group \(W(D_4)\)


Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)


Related Items

SU(5) grand unified theory, its polytopes and 5-fold symmetric aperiodic tiling, Clifford spinors and root system induction: \(H_4\) and the grand antiprism, Regular and irregular chiral polyhedra from Coxeter diagrams via quaternions



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Quaternionic representation of snub 24-cell and its dual polytope derived from \(E_8\) root system.
  • E8lattice with icosians and Z5symmetry
  • Snub polyhedra and organic growth
  • Group theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions
  • Noncrystallographic Coxeter groupH4inE8
  • Icosians versus octonions as descriptions of the E8lattice
  • Quaternionic roots of SO(8), SO(9), F4 and the related Weyl groups
  • Convex Polyhedra with Regular Faces
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