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. 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:
 * $$\left(0,\,±\frac12,\,±\frac{5+3\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{3+\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{1+\sqrt5}{2},\,±\frac{2+\sqrt5}{2},\,±\frac12\right).$$

Representations
A truncated dodecahedral prism has the following Coxeter diagrams:
 * x x5x3o (full symmetry)
 * xx5xx3oo&#x (bases considered separately)