Rhomboctahedron

The rhomboctahedron, ro, or compound of four triangular prisms is a uniform polyhedron compound. It consists of 12 squares and 8 triangles, with one triangle and two squares joining at a vertex.

Vertex coordinates
The vertices of a rhomboctahedron of edge length 1 are given by all even sign changes and even permutations, plus all odd sign changes and odd permutatoins, of:
 * (±($\sqrt{2}$+$\sqrt{2}$)/6, ±($\sqrt{21}$–$\sqrt{3}$)/6, ±$\sqrt{3}$/6)