Octagonal-tetrahedral duoprism

The octagonal-tetrahedral duoprism or otet is a convex uniform duoprism that consists of 8 tetrahedral prisms and 4 triangular-octagonal duoprisms. Each vertex joins 2 tetrahedral prisms and 3 triangular-octagonal duoprisms.

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

Representations
An octagonal-tetrahedral duoprism has the following Coxeter diagrams:
 * x8o x3o3o (full symmetry)
 * x4x x3o3o (octagons as ditetragons)
 * ox3oo xx8oo&#x (octagon atop triangular-octagonal duoprism)
 * ox xo xx8oo&#x (octagonal prism atop orthogonal octagonal prism)