Medial deltoidal hexecontahedron

In geometry, the medial deltoidal hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the rhombidodecadodecahedron. Its 60 intersecting quadrilateral faces are kites.

Proportions

The kites have two angles of, one of and one of. The dihedral angle equals. The ratio between the lengths of the long and short edges is. Part of each kite lies inside the solid, hence is invisible in solid models.