Rhombisnub dodecahedron

The rhombisnub dodecahedron, rassid, or compound of six decagonal prisms is a uniform polyhedron compound. It consists of 60 squares and 12 decagons, with one decagon and two squares joining at a vertex.

Its quotient prismatic equivalent is the dipentagonal trapezoprismatic hexateroorthowedge, which is eight-dimensional.

Vertex coordinates
Coordinates for the vertices of a rhombisnub dodecahedron of edge length 1 are given by all even permutations of:
 * $$\left(±\sqrt{\frac{5-\sqrt5}{40}},\,±\frac{1+\sqrt5}{2},\,±\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(±\frac{3+\sqrt5-\sqrt{\frac{10-2\sqrt5}{5}}}{4},\,±\frac12,\,±\frac{1+\sqrt5+\sqrt{\frac{10+2\sqrt5}{5}}}{4}\right),$$
 * $$\left(±\frac{1+\sqrt5-\sqrt{\frac{10-2\sqrt5}{5}}}{4},\,±\frac{3+\sqrt5}{4},\,±\frac{1+\sqrt{\frac{5+\sqrt5}{10}}}{2}\right),$$
 * $$\left(±\frac{1+\sqrt5+\sqrt{\frac{10-2\sqrt5}{5}}}{4},\,±\frac{3+\sqrt5}{4},\,±\frac{1-\sqrt{\frac{5+\sqrt5}{10}}}{2}\right),$$
 * $$\left(±\frac{3+\sqrt5+\sqrt{\frac{10-2\sqrt5}{5}}}{4},\,±\frac12,\,±\frac{1+\sqrt5-\sqrt{\frac{10+2\sqrt5}}}{4}\right).$$