Triangular-truncated octahedral duoprism

The triangular-truncated octahedral duoprism or tratoe is a convex uniform duoprism that consists of 3 truncated octahedral prisms, 8 triangular-hexagonal duoprisms and 6 triangular-square duoprisms. Each vertex joins 2 truncated octahedral prisms, 1 triangular-square duoprism, and 2 triangular-hexagonal duoprisms. It is a duoprism based on a triangle and a truncated octahedron, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-truncated octahedral duoprism of edge length 1 are given by all permutations of the last three coordinates of:
 * $$\left(0,\,\frac{\sqrt3}3,\,0,\,±\frac{\sqrt2}2,\,±\sqrt2\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,0,\,±\frac{\sqrt2}2,\,±\sqrt2\right).$$

Representations
A triangular-truncated octahedral duoprism has the following Coxeter diagrams:
 * x3o o4x3x (full symmetry)
 * x3o x3x3x
 * ox xx3xx3xx&#x (truncated octahedron atop truncated octahedral prism)
 * xxx3xxx3xxx&#x