Great stellated dodecahedral prism

The great stellated dodecahedral prism or gissiddip is a prismatic uniform polychoron that consists of 2 great stellated dodecahedra and 12 pentagrammic prisms. Each vertex joins 1 great stellated dodecahedron and 3 pentagrammic prisms. As the name suggests, it is a prism based on the great stellated dodecahedron.

Vertex coordinates
The vertices of a great stellated dodecahedral prism of edge length 1 are given by: along with all even permutations of:
 * $$\left(±\frac{\sqrt5-1}{4},\,±\frac{\sqrt5-1}{4},\,±\frac{\sqrt5-1}{4},\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac12,\,0,\,±\frac12\right).$$