Disrhombidodecahedron

The disrhombidodecahedron, dird, or compound of twelve pentagonal prisms is a uniform polyhedron compound. It consists of 60 squares and 24 pentagons, with two pentagons and four squares joining at a vertex.

It can be formed by combining the two chiral forms of the chirorhombidodecahedron, which results in vertices pairing up and two components joining per vertex.

Its quotient prismatic equivalent is the pentagonal prismatic dodecadakoorthowedge, which is fourteen-dimensional.

Vertex coordinates
The vertices of a disrhombidodecahedron of edge length 1 are given by all permutations of: Plus all even permutations of:
 * $$\left(\pm\sqrt{\frac{5-2\sqrt5}{20}},\,\pm\sqrt{\frac{5+2\sqrt5}{20}},\,\pm\sqrt{\frac{5+2\sqrt5}{20}}\right),$$
 * $$\left(0,\,\pm\sqrt{\frac{5-\sqrt5}{40}},\,\pm\sqrt{\frac{5+\sqrt5}{8}}\right),$$
 * $$\left(\pm\sqrt{\frac{5-\sqrt5}{40}},\,\pm\sqrt{\frac{5+\sqrt5}{40}},\,\pm\sqrt{\frac{5+\sqrt5}{10}}\right).$$