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:
 * $$\left(±\sqrt{\frac{5+2\sqrt5}{20}},\,±\sqrt{\frac{5-2\sqrt5}{20}},\,±\sqrt{\frac{5-2\sqrt5}{20}}\right),$$
 * $$\left(0,\,±\sqrt{\frac{5+\sqrt5}{40}},\,±\sqrt{\frac{5-\sqrt5}{8}}\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}{40}},\,±\sqrt{\frac{5-\sqrt5}{40}},\,±\sqrt{\frac{5-\sqrt5}{10}}\right).$$

This compound is chiral. The compound of the two enantiomorphs is the great disrhombidodecahedron.