Pentagrammic-heptagrammic duoprism

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

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

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