Catalan solids derived from three-dimensional-root systems and quaternions

DOI10.1063/1.3356985zbMath1310.51019arXiv0908.3272OpenAlexW3102983614WikidataQ56048664 ScholiaQ56048664MaRDI QIDQ5249148

Mehmet Koca, Ramazan Koç, Nazife Ozdes Koca

Publication date: 29 April 2015

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

Full work available at URL: https://arxiv.org/abs/0908.3272

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Root systems (17B22) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (9)

Unnamed Item ⋮ Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups ⋮ Quaternionic representation of snub 24-cell and its dual polytope derived from \(E_8\) root system. ⋮ 4D-POLYTOPES AND THEIR DUAL POLYTOPES OF THE COXETER GROUP W(A₄) REPRESENTED BY QUATERNIONS ⋮ Affine coxeter group W_a(A₄), quaternions, and decagonal quasicrystals ⋮ Group-theoretical analysis of aperiodic tilings from projections of higher-dimensional latticesB_n ⋮ A Clifford algebraic framework for Coxeter group theoretic computations. ⋮ QUATERNIONIC CONSTRUCTION OF THE W(F₄) POLYTOPES WITH THEIR DUAL POLYTOPES AND BRANCHING UNDER THE SUBGROUPS W(B₄) AND W(B₃) × W(A₁) ⋮ Regular and irregular chiral polyhedra from Coxeter diagrams via quaternions

Cites Work

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• Polyhedra in physics, chemistry and geometry
• Quaternionic root systems and subgroups of the Aut(F4)
• Polyhedra obtained from Coxeter groups and quaternions
• Group theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions
• Mathematical virology: a novel approach to the structure and assembly of viruses

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