Medial hexagonal hexecontahedron


In geometry, the medial hexagonal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform snub icosidodecadodecahedron.

Proportions

The faces of the medial hexagonal hexecontahedron are irregular nonconvex hexagons. Denote the golden ratio by, and let be the real zero of the polynomial. The number can be written as, where is the plastic number. Then each face has four equal angles of, one of and one of. Each face has two long edges, two of medium length and two short ones. If the medium edges have length, the long ones have length and the short ones. The dihedral angle equals.