Enantiomorphs of the Truncated Icosahedron

The oldest studies of polytope composition predate Kepler's Harmonices Mundi, which included the famous stella octangula. Recent studies [1] have shown the existence of a surprising number of regular compositions of regular polytopes. This Demonstration shows the composition of a regular polytope, the truncated icosahedron, from a nonregular "quasiprism". Like the dodecahedron, another polytope with icosahedral symmetry, the truncated icosahedron displays enantiomorphism. With this polytope, however, the enantiomorphism requires not only two non-equivalent halves, but additionally requires two non-equivalent compositional elements.