Small snub dodecahedron

The small snub dodecahedron, sassid, or compound of six pentagrammic antiprisms is a uniform polyhedron compound. It consists of 60 triangles and 12 pentagrams, with one pentagram and three triangles joining at a vertex.

Its quotient prismatic equivalent is the pentagrammic antiprismatic hexateroorthowedge, which is eight-dimensional.

Vertex coordinates
The vertices of a small snub dodecahedron of edge length 1 are given by all even permutations and even sign changes of:
 * $$\left(\sqrt{\frac{\sqrt5+\sqrt{5(\sqrt5-2)}}{20}},\,±\sqrt{\frac{5-2\sqrt5}{20}},\,±\sqrt{\frac{5+\sqrt5-2\sqrt{10(\sqrt5-1}}{40}}\right),$$
 * $$\left(\sqrt{\frac{3\sqrt5-5}{40}},\,\sqrt{\frac{5-\sqrt5}{10}},\,\frac{\sqrt{5\sqrt5}}{10}\right),$$
 * $$\left(-\sqrt{\frac{2\sqrt5+\sqrt{10(\sqrt5-1)}}{20}},\,±\sqrt{\frac{5-2\sqrt5}{20}},\,±\sqrt{\frac{5+\sqrt5+2\sqrt{10(\sqrt5-1)}}{40}}\right),$$
 * $$\left(-\sqrt{\frac{\sqrt5-\sqrt{5(\sqrt5-2}}{20}},\,-\sqrt{\frac{5+\sqrt5}{40}},\,\sqrt{\frac{5-\sqrt5+2\sqrt{15(\sqrt5-2)}}{20}}\right),$$
 * $$\left(\sqrt{\frac{\sqrt5+2\sqrt{5(\sqrt5-2)}}{20}},\,-\sqrt{\frac{5+\sqrt5}{40}},\,\sqrt{\frac{5-\sqrt5-2\sqrt{5(\sqrt5-2)}}{20}}\right).$$