Heptagonal-hendecagrammic duoprism

The heptagonal-hendecagrammic duoprism, also known as the 7-11/3 duoprism, is a uniform duoprism that consists of 11 heptagonal prisms and 7 hendecagrammic prisms, with 2 of each meeting at each vertex.

The name can also refer to the heptagonal-small hendecagrammic duoprism, the heptagonal-great hendecagrammic duoprism, or the heptagonal-grand hendecagrammic duoprism.

Coordinates
The vertex coordinates of a heptagonal-hendecagrammic duoprism, centered at the origin and with edge length 4sin(π/7)sin(3π/11), are given by all sign changes of:


 * (2sin(3π/11), 0, 1, 0),
 * (2sin(3π/11), 0, 2sin(π/7)cos(2π/11), ±2sin(π/7)sin(2π/11)),
 * (2sin(3π/11), 0, 2sin(π/7)cos(4π/11), ±2sin(π/7)sin(4π/11)),
 * (2sin(3π/11), 0, 2sin(π/7)cos(6π/11), ±2sin(π/7)sin(6π/11)),
 * (2sin(3π/11), 0, 2sin(π/7)cos(8π/11), ±2sin(π/7)sin(8π/11)),
 * (2sin(3π/11), 0, 2sin(π/7)cos(10π/11), ±2sin(π/7)sin(10π/11)),
 * (2sin(3π/11)cos(2π/7), ±2sin(2π/7)sin(3π/11), 1, 0),
 * (2sin(3π/11)cos(2π/7), ±2sin(2π/7)sin(3π/11), 2sin(π/7)cos(2π/11), ±2sin(π/7)sin(2π/11)),
 * (2sin(3π/11)cos(2π/7), ±2sin(2π/7)sin(3π/11), 2sin(π/7)cos(4π/11), ±2sin(π/7)sin(4π/11)),
 * (2sin(3π/11)cos(2π/7), ±2sin(2π/7)sin(3π/11), 2sin(π/7)cos(6π/11), ±2sin(π/7)sin(6π/11)),
 * (2sin(3π/11)cos(2π/7), ±2sin(2π/7)sin(3π/11), 2sin(π/7)cos(8π/11), ±2sin(π/7)sin(8π/11)),
 * (2sin(3π/11)cos(2π/7), ±2sin(2π/7)sin(3π/11), 2sin(π/7)cos(10π/11), ±2sin(π/7)sin(10π/11)),
 * (2sin(3π/11)cos(4π/7), ±2sin(4π/7)sin(3π/11), 1, 0),
 * (2sin(3π/11)cos(4π/7), ±2sin(4π/7)sin(3π/11), 2sin(π/7)cos(2π/11), ±2sin(π/7)sin(2π/11)),
 * (2sin(3π/11)cos(4π/7), ±2sin(4π/7)sin(3π/11), 2sin(π/7)cos(4π/11), ±2sin(π/7)sin(4π/11)),
 * (2sin(3π/11)cos(4π/7), ±2sin(4π/7)sin(3π/11), 2sin(π/7)cos(6π/11), ±2sin(π/7)sin(6π/11)),
 * (2sin(3π/11)cos(4π/7), ±2sin(4π/7)sin(3π/11), 2sin(π/7)cos(8π/11), ±2sin(π/7)sin(8π/11)),
 * (2sin(3π/11)cos(4π/7), ±2sin(4π/7)sin(3π/11), 2sin(π/7)cos(10π/11), ±2sin(π/7)sin(10π/11)),
 * (2sin(3π/11)cos(6π/7), ±2sin(6π/7)sin(3π/11), 1, 0),
 * (2sin(3π/11)cos(6π/7), ±2sin(6π/7)sin(3π/11), 2sin(π/7)cos(2π/11), ±2sin(π/7)sin(2π/11)),
 * (2sin(3π/11)cos(6π/7), ±2sin(6π/7)sin(3π/11), 2sin(π/7)cos(4π/11), ±2sin(π/7)sin(4π/11)),
 * (2sin(3π/11)cos(6π/7), ±2sin(6π/7)sin(3π/11), 2sin(π/7)cos(6π/11), ±2sin(π/7)sin(6π/11)),
 * (2sin(3π/11)cos(6π/7), ±2sin(6π/7)sin(3π/11), 2sin(π/7)cos(8π/11), ±2sin(π/7)sin(8π/11)),
 * (2sin(3π/11)cos(6π/7), ±2sin(6π/7)sin(3π/11), 2sin(π/7)cos(10π/11), ±2sin(π/7)sin(10π/11)).