Small stellated truncated dodecahedron


In geometry, the small stellated truncated dodecahedron is a nonconvex uniform polyhedron, indexed as U58. It has 24 faces, 90 edges, and 60 vertices. It is given a Schläfli symbol t, and Coxeter diagram.

Related polyhedra

It shares its vertex arrangement with three other uniform polyhedra: the convex rhombicosidodecahedron, the small dodecicosidodecahedron and the small rhombidodecahedron.
It also has the same vertex arrangement as the uniform compounds of 6 or 12 pentagrammic prisms.

Rhombicosidodecahedron

Small dodecicosidodecahedron

Small rhombidodecahedron

Small stellated truncated dodecahedron

Compound of six pentagrammic prisms

Compound of twelve pentagrammic prisms