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Amal J.H. Al Qanobi

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4D Pyritohedral Symmetry

Nazife Özdeş Koca, Amal J.H. Al Qanobi, Mehmet Koca · مجلة جامعة السلطان قابوس للعلوم · 2016 · 10.24200/squjs.vol21iss2pp150-161

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 that it is a group rel …

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