Prismatorhombiretrosnub icositetrachoron

The prismatorhombiretrosnub icositetrachoron, or prarsi, is a scaliform polychoron. It consists of 96 triangular prisms, 96 triangular cupolas, 24 truncated tetrahedra, and 24 great icosahedra. 1 great icosahedron, 1 truncated tetrahedron, 2 triangular prisms, and 3 triangular cupolas join at each vertex.

It can be constructed from the retrosnub disicositetrachoron by expanding the icosahedral cells outward by unit distance. It is also a subsymmetrical faceting of gidipthi; blending 25 of this polychoron results in gad phiddix, a member of the gidipthi regiment.

Vertex coordinates
A prismatorhombiretrosnub icositetrachoron of edge length 1 has vertex coordinates given by all even permutations of:
 * $$\left(0,\,±\frac12,\,±\frac{1-\sqrt5}{4},\,±\frac{7-\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±1,\,±\frac{3-\sqrt5}{4},\,±\frac{5-\sqrt5}{4}\right).$$