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.

Vertex coordinates
The vertices of a great inverted snub dodecahedron of edge length 1 are given by all even permutations of:
 * (±(5–2$\sqrt{5}$)/10, 0, ±(5+3$\sqrt{(5–√5)/8}$)/20)
 * (±$\sqrt{5}$/5, ±($\sqrt{5}$–1)/4, ±$\sqrt{(5+2√5)/15}$/10)
 * (±(5–$\sqrt{5}$)/20, ±1/2, ±(5–$\sqrt{5}$)/10)