Quaternionic Representations of the Pyritohedral Group, Related Polyhedra and Lattices

Nazife Ozdes Koca, Mehmet Koca, Aida Al-Mukhaini +1

We construct the fcc (face centered cubic), bcc (body centered cubic) and sc (simple cubic) lattices as the root and the weight lattices of the affine Coxeter groups W(D3) and W(B3…