Octagonal-enneagonal duoprismatic prism

The octagonal-enneagonal duoprismatic prism or oep, also known as the octagonal-enneagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 octagonal-enneagonal duoprisms, 8 square-enneagonal duoprisms, and 9 square-octagonal duoprisms. Each vertex joins 2 square-octagonal duoprisms, 2 square-enneagonal duoprisms, and 1 octagonal-enneagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of an octagonal-enneagonal duoprismatic prism of edge length 2sin(π/9) are given by all permutations of the first two coordinates of: where j = 2, 4, 8.
 * $$\left(±\sin\frac\pi9,\,±(1+\sqrt2)\sin\frac\pi9,\,1,\,0,\,±\sin\frac\pi9\right),$$
 * $$\left(±\sin\frac\pi9,\,±(1+\sqrt2)\sin\frac\pi9,\,\cos\left(\frac{j\pi}9\right),\,±\sin\left(\frac{j\pi}9\right),\,±\sin\frac\pi9\right),$$
 * $$\left(±\sin\frac\pi9,\,±(1+\sqrt2)\sin\frac\pi9,\,-\frac12,\,±\frac{\sqrt3}2,\,±\sin\frac\pi9\right),$$

Representations
An octagonal-enneagonal duoprismatic prism has the following Coxeter diagrams:
 * x x8o x9o (full symmetry)
 * x x4x x9o (octagons as ditetragons)
 * xx8oo xx9oo&#x (octagonal-enneagonal duoprism atop octagonal-enneagonal duoprism)
 * xx4xx xx9oo&#x