Enneagonal-hexagonal antiprismatic duoprism

The enneagonal-hexagonal antiprismatic duoprism or ehap is a convex uniform duoprism that consists of 9 hexagonal antiprismatic prisms, 2 hexagonal-enneagonal duoprisms, and 12 triangular-enneagonal duoprisms. Each vertex joins 2 hexagonal antiprismatic prisms, 3 triangular-enneagonal duoprisms, and 1 hexagonal-enneagonal duoprism.

Vertex coordinates
The vertices of an enneagonal-hexagonal antiprismatic duoprism of edge length 2sin(π/9) are given by: where j = 2, 4, 8.
 * $$\left(1,\,0,\,±\sin\frac\pi9,\,±\sqrt3\sin\frac\pi9,\,\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(1,\,0,\,±2\sin\frac\pi9,\,0,\,\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(1,\,0,\,±\sqrt3\sin\frac\pi9,\,±\sin\frac\pi9,\,-\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(1,\,0,\,0,\,±2\sin\frac\pi9,\,-\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(\cos\frac{j\pi}9,\,±\sin\frac{j\pi}9,\,±\sin\frac\pi9,\,±\sqrt3\sin\frac\pi9,\,\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(\cos\frac{j\pi}9,\,±\sin\frac{j\pi}9,\,±2\sin\frac\pi9,\,0,\,\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(\cos\frac{j\pi}9,\,±\sin\frac{j\pi}9,\,±\sqrt3\sin\frac\pi9,\,±\sin\frac\pi9,\,-\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(\cos\frac{j\pi}9,\,±\sin\frac{j\pi}9,\,0,\,±2\sin\frac\pi9,\,-\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\sin\frac\pi9,\,±\sqrt3\sin\frac\pi9,\,\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±2\sin\frac\pi9,\,0,\,\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\sqrt3\sin\frac\pi9,\,±\sin\frac\pi9,\,-\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,0,\,±2\sin\frac\pi9,\,-\sqrt{\sqrt3-1}\sin\frac\pi9\right),$$

Representations
An enneagonal-hexagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x9o s2s12o (full symmetry; hexagonal antiprisms as alternated dodecagonal prisms)
 * x9o s2s6s (hexagonal antiprisms as alternated dihexagonal prisms)