Truncated dodecahedral prism

The truncated dodecahedral prism or tiddip is a prismatic uniform polychoron that consists of 2 truncated dodecahedra, 12 decagonal prisms, and 20 triangular prisms. Each vertex joins 1 truncated dodecahedron, 1 triangular prism, and 2 decagonal prisms. As the name suggests, it is a prism based on the truncated dodecahedron. As such it is also a convex segmentochoron (designated K-4.130 on Richard Klitzing's list).

Vertex coordinates
The vertices of a truncated dodecahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:
 * (0, ±1/2, ±(5+3$\sqrt{10+2√5}$)/4, ±1/2)
 * (±1/2, ±(3+$\sqrt{10+2√5}$)/4, ±(3+$\sqrt{2}$)/2, ±1/2)
 * (±(3+$\sqrt{(39+15√5)/8}$)/4, ±(1+$\sqrt{5}$)/2, ±(2+$\sqrt{(5+2√5)/15}$)/2, ±1/2)