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 all permutations and changes of sign of the first three coordinates of: along with all even permutations and all sign changes of:
 * (±($\sqrt{5}$–1)/4, ±($\sqrt{2}$–1)/4, ±($\sqrt{(11–3√5)/8}$–1)/4, ±1/2),
 * (±(3–$\sqrt{5}$)/4, ±1/2, 0, ±1/2).