Octagonal-cuboctahedral duoprism

The octagonal-cuboctahedral duoprism or oco is a convex uniform duoprism that consists of 8 cuboctahedral prisms, 6 square-octagonal duoprisms and 8 triangular-octagonal duoprisms.

Vertex coordinates
The vertices of an octagonal-cuboctahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±1/2, ±(1+$\sqrt{8+2√2}$)/2, 0, $\sqrt{2}$/2, $\sqrt{2}$/2)
 * (±(1+$\sqrt{2}$)/2, ±1/2, 0, $\sqrt{2}$/2, $\sqrt{2}$/2)