Triangular-hexagonal duoprismatic prism

The triangular-hexagonal duoprismatic prism or trahip, also known as the triangular-hexagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 triangular-hexagonal duoprisms, 3 square-hexagonal duoprisms and 6 triangular-square duoprisms. Each vertex joins 2 triangular-square duoprisms, 2 square-hexagonal duoprisms, and 1 triangular-hexagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-hexagonal duoprismatic prism of edge length 1 are given by:
 * $$\left(0,\,\frac{\sqrt3}3,\,0,\,±1,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,0,\,±1,\,±\frac12\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{\sqrt3}2,\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{\sqrt3}2,\,±\frac12,\,±\frac12\right).$$

Representations
A triangular-pentagonal duoprismatic prism has the following Coxeter diagrams:
 * x x3o x6o (full symmetry)
 * x x3o x3x (hexagons as ditrigons)
 * xx3oo xx6oo&#x (triangular-hexagonal duoprism atop triangular-hexagonal duoprism)
 * xx3oo xx3xx&#x
 * ox xx xx6oo&#x (hexagonal prism atop square-hexagonal duoprism)
 * ox xx xx3xx&#x
 * xxx xxx3xxx&#x