Hexagonal-heptagonal duoprism

The hexagonal-heptagonal duoprism or haheddip, also known as the 6-7 duoprism, is a uniform duoprism that consists of 6 heptagonal prisms, 7 hexagonal prisms and 42 vertices.

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