Small rhombicuboctahedron

The small rhombicuboctahedron, also commonly known as simply the rhombicuboctahedron, is one of the 13 Archimedean solids. It consists of 8 triangles and 18 squares. The squares come in two forms: 6 join to other squares only, and 12 join to 2 squares and 2 triangles. Each vertex joins one triangle and 3 squares. It can be obtained by cantellation of the cube or octahedron, or quivalently by epanding either polyhedron's faces outward.

Vertex coordinates
A truncated tetrahedron of edge length 1 has vertex coordinates given by all permutations and sign changes of
 * (±(1+$\sqrt{7+4√2}$)/2, ±1/2, ±1/2).