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 36° 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:
 * $$\left(±\frac{5-2\sqrt5}{10},\,0,\,±\frac{5+3\sqrt5}{20}\right),$$
 * $$\left(±\frac{\sqrt5}{5},\,±\frac{\sqrt5-1}{4},\,±\frac{\sqrt5}{10}\right),$$
 * $$\left(±\frac{5-\sqrt5}{20},\,±\frac12,\,±\frac{5-\sqrt5}{10}\right).$$