Polyhedral orbits of cubic symmetry lower than Oh

5 Polyhedral Orbits of Cubic Symmetry Lower than Oh 

Four other polyhedra based on 24-vertex cages exhibiting cubic symmetry can be formed from the regular orbit structure of the previous section. Two of these are chiral pairs, the dextro snub cube and its chiral partner, the laevo snub cube the third is the regular orbit of Td point symmetry, while the fourth is the regular orbit of Th symmetry. 

Cundy and A.P. Rollett, Mathematical Models [OUP, Oxford, 1961 and Tarqiiin Publications]. 

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