Pentagrammatic snub pseudicosicosahedron

The pentagrammatic snub pseudicosicosahedron, passipsi, or compound of five small stellated dodecahedra is a uniform polyhedron compound. It consists of 60 pentagrams, with five faces joining at a vertex.

Vertex coordinates
The vertices of a pentagrammatic snub pseudicosicosahedron of edge length 1 can be given by all even permutations of:
 * $$\left(0,\,\pm\frac12,\,\pm\frac{\sqrt5-1}{4}\right),$$
 * $$\left(\pm\frac{1+\sqrt5}{8},\,\pm\frac14,\,\pm\frac{5-\sqrt5}{8}\right),$$
 * $$\left(\pm\frac{\sqrt5-1}{8},\,\pm\frac{3-\sqrt5}{8},\,\pm\frac{\sqrt5}{4}\right).$$