Prismatorhombisnub icositetrachoron

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

It can be constructed from the snub disicositetrachoron by expanding the icosahedral cells outward by unit distance, or from the prismatorhombated icositetrachoron by alternating the triangles and equalizing edge lengths. It is also a subsymmetrical faceting of the prismatodishecatonicosachoron.

It contains the vertices of a pyritosnub tesseract with regular icosahedra and uniform triangular prisms.

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

Representations
A prismatorhombisnub icositetrachoron has the following Coxeter diagrams:


 * s3s4o3x (full symmetry)
 * fox3xxx3xfo *b3oxf&#zx (D4 symmetry)