Heptagonal-heptagrammic duoprism

The heptagonal-heptagrammic duoprism, also known as heshedip or the 7-7/2 duoprism, is a uniform duoprism that consists of 7 heptagonal prisms and 7 heptagrammic prisms, with 2 of each meeting at each vertex.

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


 * (2cos(π/7), 0, 1, 0),
 * (2cos(π/7), 0, cos(2π/7), ±sin(2π/7)),
 * (2cos(π/7), 0, cos(4π/7), ±sin(4π/7)),
 * (2cos(π/7), 0, cos(6π/7), ±sin(6π/7)),
 * (2cos(π/7)cos(2π/7), ±2sin(2π/7)cos(π/7), 1, 0),
 * (2cos(π/7)cos(2π/7), ±2sin(2π/7)cos(π/7), cos(2π/7), ±sin(2π/7)),
 * (2cos(π/7)cos(2π/7), ±2sin(2π/7)cos(π/7), cos(4π/7), ±sin(4π/7)),
 * (2cos(π/7)cos(2π/7), ±2sin(2π/7)cos(π/7), cos(6π/7), ±sin(6π/7)),
 * (2cos(π/7)cos(4π/7), ±2sin(4π/7)cos(π/7), 1, 0),
 * (2cos(π/7)cos(4π/7), ±2sin(4π/7)cos(π/7), cos(2π/7), ±sin(2π/7)),
 * (2cos(π/7)cos(4π/7), ±2sin(4π/7)cos(π/7), cos(4π/7), ±sin(4π/7)),
 * (2cos(π/7)cos(4π/7), ±2sin(4π/7)cos(π/7), cos(6π/7), ±sin(6π/7)),
 * (2cos(π/7)cos(6π/7), ±2sin(6π/7)cos(π/7), 1, 0),
 * (2cos(π/7)cos(6π/7), ±2sin(6π/7)cos(π/7), cos(2π/7), ±sin(2π/7)),
 * (2cos(π/7)cos(6π/7), ±2sin(6π/7)cos(π/7), cos(4π/7), ±sin(4π/7)),
 * (2cos(π/7)cos(6π/7), ±2sin(6π/7)cos(π/7), cos(6π/7), ±sin(6π/7)),