Retroantiprismatosnub disicositetrachoron

The retroantiprismatosnub disicositetrachoron, or rappisdi, is a nonconvex uniform polychoron that consists of 96 regular octahedra, 24 icosahedra, and 24 great icosahedra. 6 octahedra, 3 icosahedra, and 3 great icosahedra join at each vertex.

This polychoron has the same symmetry as the snub disicositetrachoron, with the octahedra acting as triangular antiprisms. It can be thought as a kind of sub-symmetrical faceting of the small stellated hecatonicosachoron.

Vertex coordinates
The vertices of a retroantiprismatosnub disicositetrachoron of edge length 1, centered at the origin, are given by all even permutations of:
 * (±(1+$\sqrt{10}$)/4, ±($\sqrt{10}$–1)/4, ±1/2, 0).