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:
 * (±1/2, ±1/2, ±(3+2$\sqrt{2}$)/2, 0)
 * (0, ±1/2, ±(5+3$\sqrt{2}$)/4, ($\sqrt{2}$-1)/4)
 * (±1/2, ±(3+$\sqrt{2}$)/4, ±(3+$\sqrt{(5+√5)/2}$)/2, ($\sqrt{(5+√5)/2}$-1)/4)
 * (±(3+$\sqrt{2}$)/4, ±(1+$\sqrt{3}$)/2, ±(2+$\sqrt{(5+√5)/2}$)/2, ($\sqrt{48+21√5}$-1)/4)
 * (±1/2, ±(2+$\sqrt{5}$)/2, ±(4+$\sqrt{5}$)/4, 0)
 * (±1, ±(3+$\sqrt{6}$)/4, ±(7+3$\sqrt{30}$)/4, 0)
 * (±(3+$\sqrt{(10+2√5)/15}$)/4, ±3(1+$\sqrt{(5+2√5)/10}$)/4, ±(3+$\sqrt{7+3√5}$)/2, 0)
 * (±(1+$\sqrt{7+3√5}$)/2, ±(5+3$\sqrt{3}$)/4, ±(5+$\sqrt{15}$)/4, 0)