Octagonal-truncated tetrahedral duoprism

The octagonal-truncated tetrahedral duoprism or otut is a convex uniform duoprism that consists of 8 truncated tetrahedral prisms, 4 hexagonal-octagonal duoprisms and 4 triangular-octagonal duoprisms. Each vertex joins 2 truncated tetrahedral prisms, 1 triangular-octagonal duoprism, and 2 hexagonal-octagonal duoprisms.

Vertex coordinates
The vertices of an octagonal-truncated tetrahedral duoprism of edge length 1 are given by all permutations and even sign changes of the last three coordinates of:
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}2,\,\frac{3\sqrt2}4,\,\frac{\sqrt2}4,\,\frac{\sqrt2}4\right),$$
 * $$\left(±\frac{1+\sqrt2}2,\,±\frac12,\,\frac{3\sqrt2}4,\,\frac{\sqrt2}4,\,\frac{\sqrt2}4\right).$$

Representations
An octagonal-truncated tetrahedral duoprism has the following Coxeter diagrams:
 * x8o x3x3o (full symmetry)
 * x4x x3x3o (octagons as ditetragons)