Quasitruncated small stellated dodecahedron

The quasitruncated small stellated dodecahedron, or quit sissid, also called the small stellated truncated dodecahedron, is a uniform polyhedron. It consists of 12 pentagons and 12 decagrams. Each vertex joins one pentagon and two decagrams. As the name suggests, it can be obtained by the quasitruncation of the small stellated dodecahedron.

Vertex coordinates
A quasitruncated small stellated dodecahedron of edge length 1 has vertex coordinates given by all permutations of: together with all even permutations of:
 * $$\left(±\frac{1+\sqrt5}{4},\,±\frac{3-\sqrt5}{4},\,±\frac{3_\sqrt5}{4}\right),$$
 * $$\left(0,\,±\frac12,\,±\frac{5-\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt5-1}{4},\,±\frac{\sqrt5-1}{2}\right).$$