Triangular-hexagonal antiprismatic duoprism

The triangular-hexagonal antiprismatic duoprism or trahap is a convex uniform duoprism that consists of 3 hexagonal antiprismatic prisms, 2 triangular-hexagonal duoprisms and 12 triangular duoprisms. Each vertex joins 2 hexagonal antiprismatic prisms, 3 triangular duoprisms, and 1 triangular-hexagonal duoprism. It is a duoprism based on a triangle and a hexagonal antiprism, which makes it a convex segmentoteron.

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

Representations
A triangular-hexagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x3o s2s12o (full symmetry; hexagonal antiprisms as alternated dodecagonal prisms)
 * x3o s2s6s (hexagonal antiprisms as alternated dihexagonal prisms)