Hexagonal-great heptagrammic duoprism

The hexagonal-great heptagrammic duoprism, also known as the 6-7/3 duoprism, is a uniform duoprism that consists of 7 hexagonal prisms and 6 great heptagrammic prisms, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a hexagonal-great heptagrammic duoprism, centered at the origin and with edge length 2sin(3π/7), are given by:


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