Pentagonal-heptagrammic duoprism

The pentagonal-heptagrammic duoprism, also known as pashedip or the 5-7/2 duoprism, is a uniform duoprism that consists of 7 pentagonal prisms and 5 heptagrammic prisms, with 2 of each at each vertex.

The name can also refer to the pentagonal-great heptagrammic duoprism.

Vertex coordinates
The coordinates of a pentagonal-heptagrammic duoprism, centered at the origin and with edge length 2sin(2π/7), are given by: where j = 2, 4, 6.
 * $$\left(±\sin\frac{2\pi}7,\,-\sqrt{\frac{5+2\sqrt5}5}\sin\frac{2\pi}7,\,1,\,0\right),$$
 * $$\left(±\sin\frac{2\pi}7,\,-\sqrt{\frac{5+2\sqrt5}5}\sin\frac{2\pi}7,\,\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right)\right),$$
 * $$\left(±\frac{1+\sqrt5}2\sin\frac{2\pi}7,\,\sqrt{\frac{5-\sqrt5}{10}}\sin\frac{2\pi}7,\,1,\,0\right),$$
 * $$\left(±\frac{1+\sqrt5}2\sin\frac{2\pi}7,\,\sqrt{\frac{5-\sqrt5}{10}}\sin\frac{2\pi}7,\,\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right)\right),$$
 * $$\left(0,\,2\sqrt{\frac{5+\sqrt5}{10}}\sin\frac{2\pi}7,\,1,\,0\right),$$
 * $$\left(0,\,2\sqrt{\frac{5+\sqrt5}{10}}\sin\frac{2\pi}7,\,\cos\left(\frac{j\pi}7\right),\,±\sin\left(\frac{j\pi}7\right)\right),$$