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.

Its quotient prismatic equivalent is the square antiprismatic hexateroorthowedge, which is eight-dimensional.

Vertex coordinates
The vertices of a great disnub cube of edge length 1 are given by all permutations of:
 * $$\left(±\sqrt{\frac{2+\sqrt2}{8}},\,±\sqrt{\frac{2-\sqrt2}{8}},\,±\frac{\sqrt[4]{8}}{4}\right).$$