Octagonal-truncated octahedral duoprism

The octagonal-truncated octahedral duoprism or otoe is a convex uniform duoprism that consists of 8 truncated octahedral prisms, 8 hexagonal-octagonal duoprisms and 6 square-octagonal duoprisms.

This polyteron can be alternated into a square-pyritohedral icosahedral duoantiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a pyritohedral icosahedral-square prismantiprismoid, which is also nonuniform.

Vertex coordinates
The vertices of an octagonal-truncated octahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * (±1/2, ±(1+$\sqrt{14+2√2}$)/2, 0, $\sqrt{2}$/2, $\sqrt{2}$),
 * (±(1+$\sqrt{2}$)/2, ±1/2, 0, $\sqrt{2}$/2, $\sqrt{2}$).