Hexagonal-enneagonal duoprismatic prism

The hexagonal-enneagonal duoprismatic prism or haep, also known as the hexagonal-enneagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 hexagonal-enneagonal duoprisms, 6 square-enneagonal duoprisms and 9 square-hexagonal duoprisms. Each vertex joins 2 square-hexagonal duoprisms, 2 square-enneagonal duoprisms, and 1 hexagonal-enneagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

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

Representations
A hexagonal-enneagonal duoprismatic prism has the following Coxeter diagrams:
 * x x6o x9o (full symmetry)
 * x x3x x9o (hexagons as ditrigons)
 * xx6oo xx9oo&#x (hexagonal-enneagonal duoprism atop hexagonal-enneagonal duoprism)
 * xx3xx xx9oo&#x