Small rhombicosidodecahedron atop truncated icosahedron

Small rhombicosidodecahedron atop truncated icosahedron , or sridati, is a CRF segmentochoron (designated K-4.126 on Richard Klitzing's list). As the name suggests, it consists of a small rhombicosidodecahedron and a truncated icosahedron as bases, connected by 30 triangular prisms, 12 pentagonal antiprisms, and 20 triangular cupolas.

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