Small rhombicuboctahedral prism

The small rhombicuboctahedral prism or sircope is a prismatic uniform polychoron that consists of 2 small rhombicuboctahedra, 6+12 cubes, and 8 triangular prisms. Each vertex joins 1 small rhombicuboctahedron, 1 triangular prism, and 3 cubes. As the name suggests, it is a prism based on the small rhombicuboctahedron. As such it is also a convex segmentochoron (designated K-4.66 on Richard Klitzing's list).

The small rhombicuboctahedral prism can be obtained from the small disprismatotesseractihexadecachoron by removing 2 cube atop small rhombicuboctahedron segmentochora.

Vertex coordinates
The vertices of a small rhombicuboctahedral prism of edge length 1 are given by all permutations of the first three coordinates of:
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,±\frac12\right).$$

Representations
A small rhombicuboctahedral prism has the following Coxeter diagrams:


 * x x4o3x (full symmetry)
 * x2x4s3s (bases as snubs)
 * xx4oo3xx&#x (bases considered separately)
 * xxxx xxxx4oxxo&#xt (BC2×A1 symmetry, cube-first)
 * xxx wxx xwx xxw&#zx (A1×A1×A1×A1 symmetry)

Related polychora
The small rhombicuboctahedral prism can be constructed by attaching squarre cupolic prisms to 2 opposite octagonal prisms of the square-octagonal duoprism.

The regiment of the small rhombicuboctahedral prism also includes the small cubicuboctahedral prism and the small rhombihexahedral prism.