Great snub cube

The great snub cube, gassic, or compound of three square antiprisms is a uniform polyhedron compound. It consists of 24 triangles and 6 squares, with one square and three triangles joining at a vertex.

Vertex coordinates
The vertices of a great snub cube of edge length 1 are given by all even sign changes and even permutations, plus all odd sign changes and odd permutations, of:
 * (±$\sqrt{2}$, ±$\sqrt{(4+√2)/8}$, ±$\sqrt{4+3√2}$/4)