4D Pyritohedral Symmetry

We describe an extension of the pyritohedral symmetry in 3D to 4-dimensional Euclidean space and construct the group elements of the 4D pyritohedral group of order 576 in terms of quaternions. It turns out that it is a maximal subgroup of both the rank-4 Coxeter groups W (F4) and W (H4), implying th...

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Bibliographic Details
Main Authors: Nazife O. Koca, Amal J.H. Al Qanobi, Mehmet Koca
Format: Article
Language:English
Published: Sultan Qaboos University 2016-12-01
Series:Sultan Qaboos University Journal for Science
Subjects:
Online Access:https://journals.squ.edu.om/index.php/squjs/article/view/469