Small rhombicuboctahedron

The small rhombicuboctahedron, also commonly known as simply the rhombicuboctahedron, or sirco is one of the 13 Archimedean solids. It consists of 8 triangles and 18 squares (6 of which are in full symmetry, 12 are in digonal symmetry), with one triangle and three squares meeting at each vertex. It can be obtained by cantellation of the cube or octahedron, or equivalently by expanding either polyhedron's faces outward.

Vertex coordinates
A small rhombicuboctahedron of edge length 1 has vertex coordinates given by all permutations and sign changes of
 * (±(1+$\sqrt{5+2√2}$)/2, ±1/2, ±1/2).