Great enneagrammic-grand hendecagrammic duoprism

The great enneagrammic-grand hendecagrammic duoprism, also known as the 9/4-11/5 duoprism, is a uniform duoprism that consists of 11 great enneagrammic prisms and 9 grand hendecagrammic prisms, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a great enneagrammic-grand hendecagrammic duoprism, centered at the origin and with edge length 4sin(4π/9)sin(5π/11), are given by:


 * (2sin(5π/11), 0, 2sin(4π/9), 0),
 * (2sin(5π/11), 0, 2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11)),
 * (2sin(5π/11), 0, 2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11)),
 * (2sin(5π/11), 0, 2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11)),
 * (2sin(5π/11), 0, 2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11)),
 * (2sin(5π/11), 0, 2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11)),
 * (2sin(5π/11)cos(2π/9), ±2sin(5π/11)sin(2π/9), 2sin(4π/9), 0),
 * (2sin(5π/11)cos(2π/9), ±2sin(5π/11)sin(2π/9), 2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11)),
 * (2sin(5π/11)cos(2π/9), ±2sin(5π/11)sin(2π/9), 2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11)),
 * (2sin(5π/11)cos(2π/9), ±2sin(5π/11)sin(2π/9), 2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11)),
 * (2sin(5π/11)cos(2π/9), ±2sin(5π/11)sin(2π/9), 2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11)),
 * (2sin(5π/11)cos(2π/9), ±2sin(5π/11)sin(2π/9), 2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11)),
 * (2sin(5π/11)cos(4π/9), ±2sin(5π/11)sin(4π/9), 2sin(4π/9), 0),
 * (2sin(5π/11)cos(4π/9), ±2sin(5π/11)sin(4π/9), 2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11)),
 * (2sin(5π/11)cos(4π/9), ±2sin(5π/11)sin(4π/9), 2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11)),
 * (2sin(5π/11)cos(4π/9), ±2sin(5π/11)sin(4π/9), 2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11)),
 * (2sin(5π/11)cos(4π/9), ±2sin(5π/11)sin(4π/9), 2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11)),
 * (2sin(5π/11)cos(4π/9), ±2sin(5π/11)sin(4π/9), 2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11)),
 * (–sin(5π/11), ±sin(5π/11)$\sqrt{2}$, 2sin(4π/9), 0),
 * (–sin(5π/11), ±sin(5π/11)$\sqrt{3}$, 2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11)),
 * (–sin(5π/11), ±sin(5π/11)$\sqrt{3}$, 2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11)),
 * (–sin(5π/11), ±sin(5π/11)$\sqrt{3}$, 2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11)),
 * (–sin(5π/11), ±sin(5π/11)$\sqrt{3}$, 2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11)),
 * (–sin(5π/11), ±sin(5π/11)$\sqrt{3}$, 2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11)),
 * (2sin(5π/11)cos(8π/9), ±2sin(5π/11)sin(8π/9), 2sin(4π/9), 0),
 * (2sin(5π/11)cos(8π/9), ±2sin(5π/11)sin(8π/9), 2sin(4π/9)cos(2π/11), ±2sin(4π/9)sin(2π/11)),
 * (2sin(5π/11)cos(8π/9), ±2sin(5π/11)sin(8π/9), 2sin(4π/9)cos(4π/11), ±2sin(4π/9)sin(4π/11)),
 * (2sin(5π/11)cos(8π/9), ±2sin(5π/11)sin(8π/9), 2sin(4π/9)cos(6π/11), ±2sin(4π/9)sin(6π/11)),
 * (2sin(5π/11)cos(8π/9), ±2sin(5π/11)sin(8π/9), 2sin(4π/9)cos(8π/11), ±2sin(4π/9)sin(8π/11)),
 * (2sin(5π/11)cos(8π/9), ±2sin(5π/11)sin(8π/9), 2sin(4π/9)cos(10π/11), ±2sin(4π/9)sin(10π/11)).