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. Each vertex joins 2 truncated octahedral prisms, 1 square-octagonal duoprism, and 2 hexagonal-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 of the last three coordinates of:
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,0,\,±\frac{\sqrt2}2,\,±\sqrt2\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,0,\,±\frac{\sqrt2}2,\,±\sqrt2\right).$$

Representations
An octagonal-truncated octahedral duoprism has the following Coxeter diagrams:
 * x8o o4x3x (full symmetry)
 * x8o x3x3x
 * x4x o4x3x (octagons as ditetragons)
 * x4x x3x3x