Heptagonal duoprismatic prism

The heptagonal duoprismatic prism or hehep, also known as the heptagonal-heptagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 heptagonal duoprisms and 14 square-heptagonal duoprisms. Each vertex joins 4 square-heptagonal duoprisms and 1 heptagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of a heptagonal duoprismatic prism of edge length 2sin(π/7) are given by: where j, k = 2, 4, 6.
 * $$\left(1,\,0,\,1,\,0,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,1,\,0,\,±\sin\frac\pi7\right),$$
 * $$\left(1,\,0,\,\cos\frac{k\pi}7,\,±\sin\frac{k\pi}7,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,\cos\frac{k\pi}7,\,±\sin\frac{k\pi}7,\,±\sin\frac\pi7\right),$$

Representations
A heptagonal duoprismatic prism has the following Coxeter diagrams:
 * x x7o x7o (full symmetry)
 * xx7oo xx7oo&#x (heptagonal duoprism atop heptagonal duoprism)