Octagonal-enneagonal duoprism

The octagonal-enneagonal duoprism or oedip, also known as the 8-9 duoprism, is a uniform duoprism that consists of 8 enneagonal prisms and 9 octagonal prisms, with two of each joining at each vertex.

Vertex coordinates
The coordinates of an octagonal-enneagonal duoprism, centered at the origin and with edge length 2sin(π/9), are given by: where j = 2, 4, 8.
 * $$\left(±\sin\frac\pi9,±(1+\sqrt2)\sin\frac\pi9,1,0\right),$$
 * $$\left(±\sin\frac\pi9,±(1+\sqrt2)\sin\frac\pi9,\cos\left(\frac{j\pi}9\right),±\sin\left(\frac{j\pi}9\right)\right),$$
 * $$\left(±\sin\frac\pi9,±(1+\sqrt2)\sin\frac\pi9,-\frac12,±\frac{\sqrt3}2\right),$$
 * $$\left(±(1+\sqrt2)\sin\frac\pi9,±\sin\frac\pi9,1,0\right),$$
 * $$\left(±(1+\sqrt2)\sin\frac\pi9,±\sin\frac\pi9,\cos\left(\frac{j\pi}9\right),±\sin\left(\frac{j\pi}9\right)\right),$$
 * $$\left(±(1+\sqrt2)\sin\frac\pi9,±\sin\frac\pi9,-\frac12,±\frac{\sqrt3}2\right),$$

Representations
An octagonal-enneagonal duoprism has the following Coxeter diagrams:
 * x8o x9o (full symmetry)
 * x4x x9o (octagons as ditetragons)