Chiral Polyhedra Derived from Coxeter Diagrams and Quaternions

@inproceedings{Koca2011ChiralPD,
  title={Chiral Polyhedra Derived from Coxeter Diagrams and Quaternions},
  author={Mehmet Koca and Nazife Ozdes Koca and Muna Al-Shu'eili},
  year={2011}
}
There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their dual Catalan solids, pentagonal icositetrahedron and pentagonal hexacontahedron. In this paper we construct the chiral polyhedra and their dual solids in a systematic way. We use the proper rotational subgroups of the Coxeter groups and to derive the orbits representing the solids of interest. They lead to the polyhedra tetrahedron, icosahedron, snub cube, and snub dodecahedron respectively. We… CONTINUE READING

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