Retrosnub disicositetrachoron

The retrosnub disicositetrachoron, or rasdi, is a nonconvex uniform polychoron that consists of 24+96 regular tetrahedra and 24 great icosahedra. 5 tetrahedra and 3 great icosahedra join at each vertex.

It is related to the grand hexacosichoron in a similar way as the snub disicositetrachoron is to the regular hexacosichoron, with the great icosahedra being vertex figures of the grand hexacosichoron.

Vertex coordinates
The vertices of a retrosnub disicositetrachoron of edge length 1, centered at the origin, are given by all even permutations of:
 * (±(3–$\sqrt{5}$)/4, ±($\sqrt{5}$–1)/4, ±1/2, 0).