Published July 6, 2007
| Version v1
Journal article
Group theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions
Creators
- 1. Department of Physics, College of Science, Sultan Qaboos University, PO Box 36, Al-Khoud, 123 Muscat (Oman)
- 2. Department of Physics, Gaziantep University, 27310 Gaziantep (Turkey)
Description
600-cell {3, 3, 5} and 120-cell {5, 3, 3} four-dimensional dual polytopes relevant to quasicrystallography have been studied with the quaternionic representation of the Coxeter group W(H4). The maximal subgroups W(SU(5)):Z2 and W(H3) x Z2 of W(H4) play important roles in the analysis of cell structures of the dual polytopes. In particular, the Weyl-Coxeter group W(SU(4)) is used to determine the tetrahedral cells of the polytope {3, 3, 5}, and the Coxeter group W(H3) is used for the dodecahedral cells of {5, 3, 3}. Using the Lie algebraic techniques in terms of quaternions, we explicitly construct cell structures forming the vertices of the 4D polytopes
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/27/013;
- PII
- S1751-8113(07)43127-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 27
- Journal Page Range
- p. 7633-7642
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38072333
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CRYSTALLOGRAPHY; FOUR-DIMENSIONAL CALCULATIONS; GROUP THEORY
- Descriptors DEC
- MATHEMATICS