Hexagonal-hexagonal antiprismatic duoprism

The hexagonal-hexagonal antiprismatic duoprism or hahap is a convex uniform duoprism that consists of 6 hexagonal antiprismatic prisms, 2 hexagonal duoprisms and 12 triangular-hexagonal duoprisms. Each vertex joins 2 hexagonal antiprismatic prisms, 3 triangular-hexagonal duoprisms, and 1 hexagonal duoprism.

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

Representations
A hexagonal-hexagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x6o s2s12o (full symmetry; hexagonal antiprisms as alternated dodecagonal prisms)
 * x6o s2s6s (hexagonal antiprisms as alternated dihexagonal prisms)
 * x3x s2s12o (hexagons as ditrigons)
 * x3x s2s6s