Great rhombisnub dodecahedron

The great rhombisnub dodecahedron, grassid, or compound of six decagrammic prisms is a uniform polyhedron compound. It consists of 60 squares and 12 decagrams, with one decagon and two squares joining at a vertex.

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