Small rhombicosidodecahedron atop truncated dodecahedron

Small rhombicosidodecahedron atop truncated dodecahedron, or sridatid, is a CRF segmentochoron (designated K-4.159 on Richard Klitzing's list). As the name suggests, it consists of a small rhombicosidodecahedron and a truncated dodecahedron as bases, connected by 30 triangular prisms, 20 octahedra, and 12 pentagonal cupolas.

It can be obtained as a small rhombicosidodecahedron-first cap of the small rhombated hecatonicosachoron.

Vertex coordinates
The vertices of a small rhombicosidodecahedron atop truncated dodecahedron segmentochoron of edge length 1 are given by all permutations of the first three coordinates of: Plus all even permutations of the first three coordinates of:
 * $$\left(±\frac{2+\sqrt5}{2},\,±\frac12,\,±\frac12,\,\frac{\sqrt5-1}{4}\right),$$
 * $$\left(0,\,±\frac{3+\sqrt5}{4},\,±\frac{5+\sqrt5}{4},\,\frac{\sqrt5-1}{4}\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±\frac{1+\sqrt5}{2},\,±\frac{3+\sqrt5}{4},\,\frac{\sqrt5-1}{4}\right),$$
 * $$\left(0,\,±\frac12,\,±\frac{5+3\sqrt5}{4},\,0\right),$$
 * $$\left(±\frac12,\,±\frac{3+\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,0\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{1+\sqrt5}{2},\,±\frac{2+\sqrt5}{2},\,0\right).$$