Triangular-truncated tetrahedral duoprism

The triangular-truncated tetrahedral duoprism or tratut is a convex uniform duoprism that consists of 3 truncated tetrahedral prisms, 4 triangular-hexagonal duoprisms and 4 triangular duoprisms. Each vertex joins 2 truncated tetrahedral prisms, 1 triangular duoprism, and 2 triangular-hexagonal duoprisms. It is a duoprism based on a triangle and a truncated tetrahedron, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-truncated tetrahedral duoprism of edge length 1 are given by all permutations and even sign changes of the last three coordinates of:
 * $$\left(0,\,\frac{\sqrt3}3,\,\frac{3\sqrt2}4,\,\frac{\sqrt2}4,\,\frac{\sqrt2}4\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,\frac{3\sqrt2}4,\,\frac{\sqrt2}4,\,\frac{\sqrt2}4\right).$$

Representations
A triangular-truncated tetrahedral duoprism has the following Coxeter diagrams:
 * x3o x3x3o (full symmetry)
 * ox oo3xx3xx&#x (tut atop tuttip)
 * ooo3xxx3xxx&#x