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 6+12 squares, 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 and filling the gaps with the corresponding polygons.

6 of the squares in this figure have full BC2 symmetry, while 12 of them have only A1*A1 symmetry with respect to the whole polyhedron.

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