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:
 * (±2sin(π/7), 0, 1, 0),
 * (±2sin(π/7), 0, cos(2π/7), ±sin(2π/7)),
 * (±2sin(π/7), 0, cos(4π/7), ±sin(4π/7)),
 * (±2sin(π/7), 0, cos(6π/7), ±sin(6π/7)),
 * (±sin(π/7), ±sin(π/7)$\sqrt{3}$, 1, 0),
 * (±sin(π/7), ±sin(π/7)$\sqrt{2}$, cos(2π/7), ±sin(2π/7)),
 * (±sin(π/7), ±sin(π/7)$\sqrt{3}$, cos(4π/7), ±sin(4π/7)),
 * (±sin(π/7), ±sin(π/7)$\sqrt{3}$, cos(6π/7), ±sin(6π/7)).

Representations
A hexagonal-heptagonal duoprism has the following Coxeter diagrams:


 * x6o x7o (full symmetry)
 * x3x x7o (hxeagons as ditrigons)