Truncated dodecahedron atop great rhombicosidodecahedron

Truncated dodecahedron atop great rhombicosidodecahedron, or tidagrid, is a CRF segmentochoron (designated K-4.173 on Richard Klitzing's list). As the name suggests, it consists of a truncated dodecahedron and a great rhombicosidodecahedron as bases, connected by 30 triangular prisms, 20 triangular cupolas, and 12 decagonal prisms.

It can be obtained as a truncated dodecahedron-first cap of the prismatorhombated hexacosichoron.

Vertex coordinates
The vertices of a truncated dodecahedron atop great rhombicosidodecahedron 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:
 * $$\left(±\frac12,\,±\frac12,\,±\frac{3+2\sqrt5}{2},\,0\right),$$
 * $$\left(0,\,±\frac12,\,±\frac{5+3\sqrt5}{4},\,\frac{\sqrt5-1}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{3+\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,\frac{\sqrt5-1}{4}\right),$$
 * $$\left(±\frac{3+\sqrt5]{4},\,±\frac{1+\sqrt5}{2},\,±\frac{2+\sqrt5}{2},\,\frac{\sqrt5-1}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{2+\sqrt5}{2},\,±\frac{4+\sqrt5]{2},\,0\right),$$
 * $$\left(±1,\,±\frac{3+\sqrt5}{4},\,±\frac{7+3\sqrt5}{4},\,0\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±3\frac{1+\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,0\right),$$
 * $$\left(±\frac{1+\sqrt5}{2},\,±\frac{5+3\sqrt5}{4},\,±\frac{5+\sqrt5}{4},\,0\right).$$