Octagonal-octahedral duoprism

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

Vertex coordinates
The vertices of an octagonal-octahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of:
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}{2},\,0,\,0,\,\frac{\sqrt2}{2}\right),$$
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac12,\,0,\,0,\,\frac{\sqrt2}{2}\right).$$

Representations
An octagonal-octahedral duoprism has the following Coxeter diagrams:
 * x8o o4o3x (full symmetry)
 * x4x o4o3x (octagons as ditetragons)
 * x8o o3x3o (octahedra as tetratetrahedra)
 * x4x o3x3o (octagons as ditetragons and octahedra as tetratetrahedra)
 * xo3ox xx8oo&#x (triangular-octagonal duoprism atop triangle-gyrated triangular-octagonal duoprism)