Great disnub cube

The great disnub cube, gidsac, or compound of six square antiprisms is a uniform polyhedron compound. It consists of 48 triangles and 12 squares (which pair up into 6 stellated octagons due to lying in the same plane), with one square and three triangles joining at a vertex.

It can be formed by combining the two chiral forms of the great snub cube.

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