Small stellated dodecahedron

The small stellated dodecahedron, or sissid, is one of the four Kepler–poinsot solids. It has 12 pentagrams as faces, joining 5 to a vertex.

Vertex coordinates
The vertices of an icosahedron of edge length 1, centered at the origin, are all cyclic permutations of


 * (0, ±1/2, ±($\sqrt{5}$–1)/4).