Heptagonal prism

The heptagonal prism, or hep, is a prismatic uniform polyhedron. It consists of 2 heptagons and 7 squares. Each vertex joins one heptagon and two squares. As the name suggests, it is a prism based on a heptagon.

Vertex coordinates
The coordinates of a heptagonal prism, centered at the origin and with edge length 2sin(π/7), are given by:
 * $$\left(1,\,0,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{2\pi}{7}\right),\,±\sin\left(\frac{2\pi}{7}\right),\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{4\pi}{7}\right),\,±\sin\left(\frac{4\pi}{7}\right),\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{6\pi}{7}\right),\,±\sin\left(\frac{6\pi}{7}\right),\,±\sin\frac\pi7\right).$$