In geometry, the small stellated dodecahedron is a Kepler-Poinsot solid. It is one of four concave regular polyhedra.
It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.
The 12 vertices match the locations for an icosahedron.
It is considered the first of three stellations of the dodecahedron.
If the pentagrammic faces are considered as 5 triangular faces, it shares the same surface topology as the pentakis dodecahedron, but with much taller isosceles triangle faces.
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