Small rhombicosidodecahedral prism

The small rhombicosidodecahedral prism or sriddip is a prismatic uniform polychoron that consists of 2 small rhombicosidodecahedra, 12 pentagonal prisms, 20 triangular prisms, and 30 cubes. Each vertex joins 1 small rhombicosidodecahedron, 1 pentagonal prism, 1 triangular prism, and 2 cubes. As the name suggests, it is a prism based on the small rhombicosidodecahedron. As such it is also a convex segmentochoron (designated K-4.111 on Richard Klitzing's list).

The small rhombicosidodecahedral prism can be vertex-inscribed into the small ditetrahedronary hexacosihecatonicosachoron.

Vertex coordinates
The vertices of a small rhombicosidodecahedral prism of edge length 1 are given by all permutations of the first three coordinates of: along with all even permutations of the first three coordinates of:
 * (±1/2, ±1/2, ±(2+$\sqrt{2}$)/2, ±1/2)
 * (0, ±(3+$\sqrt{5}$)/4, ±(5+$\sqrt{2}$)/4, ±1/2)
 * (±(1+$\sqrt{2}$)/4, ±(1+$\sqrt{2}$)/2, ±(3+$\sqrt{10}$)/4, ±1/2)

Representations
The small rhombicosidodecahedral prism has the following Coxeter diagrams:


 * x x5o3x (full symmetry)
 * xx5oo3xx&#x (bases considered separately)