Enneagonal-pentagonal antiprismatic duoprism

The enneagonal-pentagonal antiprismatic duoprism or epap is a convex uniform duoprism that consists of 9 pentagonal antiprismatic prisms, 2 pentagonal-enneagonal duoprisms and 10 triangular-enneagonal duoprisms. Each vertex joins 2 pentagonal antiprismatic prisms, 3 triangular-enneagonal duoprisms, and 1 pentagonal-enneagonal duoprism.

Vertex coordinates
The vertices of an enneagonal-pentagonal antiprismatic duoprism of edge length 2sin(π/9) are given by all central inversions of the last three coordinates of: where j = 2, 4, 8.
 * $$\left(1,\,0,\,0,\,2\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$
 * $$\left(\cos\frac{j\pi}9,\,±\sin\frac{j\pi}9,\,0,\,2\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,0,\,2\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$
 * $$\left(1,\,0,\,±\frac{(1+\sqrt5)\sin\frac\pi9}2,\,\sqrt{\frac{5-\sqrt5}{10}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$
 * $$\left(\cos\frac{j\pi}9,\,±\sin\frac{j\pi}9,\,±\frac{(1+\sqrt5)\sin\frac\pi9}2,\,\sqrt{\frac{5-\sqrt5}{10}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\frac{(1+\sqrt5)\sin\frac\pi9}2,\,\sqrt{\frac{5-\sqrt5}{10}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$
 * $$\left(1,\,0,\,±\sin\frac\pi9,\,-\sqrt{\frac{5-2\sqrt5}{5}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$
 * $$\left(\cos\frac{j\pi}9,\,±\sin\frac{j\pi}9,\,±\sin\frac\pi9,\,-\sqrt{\frac{5-2\sqrt5}{5}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$
 * $$\left(-\frac12,\,±\frac{\sqrt3}2,\,±\sin\frac\pi9,\,-\sqrt{\frac{5-2\sqrt5}{5}}\sin\frac\pi9,\,\sqrt{\frac{5+\sqrt5}{10}}\sin\frac\pi9\right),$$

Representations
An enneagonal-pentagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x9o s2s10o (full symmetry; pentagonal antiprisms as alternated decagonal prisms)
 * x9o s2s5s (pentagonal antiprisms as alternated dipentagonal prisms)