Small rhombicosidodecahedral prism

The small rhombicosidodecahedral prism or sriddip is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 small rhombicosidodecahedra, 12 pentagonal prisms, 20 triangular prisms and 30 cubes.

The small rhombicuboctahedral prism can be vertex-inscribed into a small disprismatotesseractihexadecachoron.

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