Great inverted snub dodecahedron

The great inverted snub dodecahedron, gissed, or compound of six pentagrammic retroprisms is a uniform polyhedron compound. It consists of 60 triangles and 12 pentagrams, with one pentagram and three triangles joining at a vertex.

This compound can be formed by inscribing six pentagrammic retroprisms within a great icosahedron (each by removing one pair of opposite vertices) and then rotating each retroprism by 36º around its axis.

Its quotient prismatic equivalent is the pentagrammic retroprismatic hexateroorthowedge, which is eight-dimensional.

A double cover of this compound occurs as a special case of the great inverted disnub dodecahedron.

Vertex coordinates
The vertices of a great inverted snub dodecahedron of edge length 1 are given by all even permutations of:
 * $$\left(±\frac{5-2\sqrt5}{10},\,0,\,±\frac{5+3\sqrt5}{20}\right),$$
 * $$\left(±\frac{\sqrt5}{5},\,±\frac{\sqrt5-1}{4},\,±\frac{\sqrt5}{10}\right),$$
 * $$\left(±\frac{5-\sqrt5}{20},\,±\frac12,\,±\frac{5-\sqrt5}{10}\right).$$