Pentagonal-enneagonal duoprism

The pentagonal-enneagonal duoprism or peendip, also known as the 5-9 duoprism, is a uniform duoprism that consists of 5 enneagonal prisms and 9 pentagonal prisms, with two of each joining at each vertex.

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