Small dodecicosidodecahedron

In geometry, the small dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U₃₃. Its vertex figure is a crossed quadrilateral.

It shares its vertex arrangement with the small stellated truncated dodecahedron and the uniform compounds of 6 or 12 pentagrammic prisms. It additionally shares its edge arrangement with the rhombicosidodecahedron (having the triangular and pentagonal faces in common), and with the small rhombidodecahedron (having the decagonal faces in common).

The dual polyhedron to the small dodecicosidodecahedron is the small dodecacronic hexecontahedron. It is visually identical to the small rhombidodecacron.