Small dodecicosahedron

In geometry, the small dodecicosahedron is a nonconvex uniform polyhedron, indexed as U₅₀. Its vertex figure is a crossed quadrilateral.

It shares its vertex arrangement with the great stellated truncated dodecahedron. It additionally shares its edges with the small icosicosidodecahedron (having the hexagonal faces in common) and the small ditrigonal dodecicosidodecahedron (having the decagonal faces in common).