Square-octahedral duoprism

The square-octahedral duoprism or squoct is a convex uniform duoprism that consists of 4 octahedral prisms and 8 triangular-square duoprisms.

Vertex coordinates
The vertices of a square-octahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±1/2, ±1/2, 0, 0, $\sqrt{2}$/2)