Hexagonal-heptagonal duoprism

The hexagonal-heptagonal duoprism or hahedip, also known as the 6-7 duoprism, is a uniform duoprism that consists of 6 heptagonal prisms and 7 hexagonal prisms, with two of each joining at each vertex.

Vertex coordinates
The coordinates of a hexagonal-heptagonal duoprism, centered at the origin and with edge length 2sin(π/7), are given by: where j = 2, 4, 6.
 * $$\left(±2\sin\frac\pi7,0,1,0\right),$$
 * $$\left(±2\sin\frac\pi7,0,\cos\left(\frac{j\pi}7\right),±\sin\left(\frac{j\pi}7\right)\right),$$
 * $$\left(±\sin\frac\pi7,±\sqrt3\sin\frac\pi7,1,0\right),$$
 * $$\left(±\sin\frac\pi7,±\sqrt3\sin\frac\pi7,\cos\left(\frac{j\pi}7\right),±\sin\left(\frac{j\pi}7\right)\right),$$

Representations
A hexagonal-heptagonal duoprism has the following Coxeter diagrams:
 * x6o x7o (full symmetry)
 * x3x x7o (hexagons as ditrigons)