Dodecagonal-hexagonal antiprismatic duoprism

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

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

Representations
A dodecagonal-hexagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x12o s2s12o (full symmetry; hexagonal antiprisms as alternated dodecagonal prisms)
 * x12o s2s6s (hexagonal antiprisms as alternated dihexagonal prisms)
 * x6x s2s12o (dodecagons as dihexagons)
 * x6x s2s6s