Enneagonal-decagonal duoprism

The enneagonal-decagonal duoprism or edidip, also known as the 9-10 duoprism, is a uniform duoprism that consists of 9 decagonal prisms and 10 enneagonal prisms, with two of each joining at each vertex.

Vertex coordinates
The coordinates of an enneagonal-decagonal duoprism, centered at the origin and with edge length 2sin(π/9), are given by: where j = 2, 4, 8.
 * $$\left(1,0,±\sin\frac\pi9,±\sqrt{5+2\sqrt5}\sin\frac\pi9\right),$$
 * $$\left(1,0,\frac{3+\sqrt5}2±\sin\frac\pi9,\sqrt{\frac{5+\sqrt5}2}±\sin\frac\pi9\right),$$
 * $$\left(1,0,(1+\sqrt5)\sin\frac\pi9,0\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),±\sin\left(\frac{j\pi}9\right),±\sin\frac\pi9,±\sqrt{5+2\sqrt5}\sin\frac\pi9\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),±\sin\left(\frac{j\pi}9\right),\frac{3+\sqrt5}2±\sin\frac\pi9,\sqrt{\frac{5+\sqrt5}2}±\sin\frac\pi9\right),$$
 * $$\left(\cos\left(\frac{j\pi}9\right),±\sin\left(\frac{j\pi}9\right),(1+\sqrt5)\sin\frac\pi9,0\right),$$
 * $$\left(-\frac12,±\frac{\sqrt3}2,±\sin\frac\pi9,±\sqrt{5+2\sqrt5}\sin\frac\pi9\right),$$
 * $$\left(-\frac12,±\frac{\sqrt3}2,\frac{3+\sqrt5}2±\sin\frac\pi9,\sqrt{\frac{5+\sqrt5}2}±\sin\frac\pi9\right),$$
 * $$\left(-\frac12,±\frac{\sqrt3}2,(1+\sqrt5)\sin\frac\pi9,0\right),$$

Representations
An enneagonal-decagonal duoprism has the following Coxeter diagrams:
 * x9o x10o (full symmetry)
 * x5x x9o (decagons as dipentagons)