Pentagonal-enneagonal duoprismatic prism

The pentagonal-enneagonal duoprismatic prism or pep, also known as the pentagonal-enneagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 pentagonal-enneagonal duoprisms, 5 square-enneagonal duoprisms, and 9 square-pentagonal duoprisms. Each vertex joins 2 square-pentagonal duoprisms, 2 square-enneagonal duoprisms, and 1 pentagonal-enneagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

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

Representations
A pentagonal-enneagonal duoprismatic prism has the following Coxeter diagrams:
 * x x5o x9o (full symmetry)
 * xx5oo xx9oo&#x (pentagonal-enneagonal duoprism atop pentagonal-enneagonal duoprism)