Great chirorhombidodecahedron

The great chirorhombidodecahedron, gikrid, or compound of six pentagrammic prisms is a uniform polyhedron compound. It consists of 30 squares and 12 pentagrams, with one pentagram and two squares joining at a vertex.

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

Vertex coordinates
The vertices of a great chirorhombidodecahedron of edge length 1 are given by all permutations of: Plus all even permutations of:
 * (0, ±$\sqrt{5}$, ±$\sqrt{2}$)