Polyhedron with twelve pentagrammic faces with five pentagrams meeting at each vertex. It has thirty edges and twelve vertices. It is a Kepler-Poinsot polyhedron, one of the four non-convex regular polyhedra.

The surface area of a small stellated dodecahedron with edge length a is given by the formula:

The volume of a small stellated dodecahedron with edge length a is given by the formula: