Great heptagrammic-great hendecagrammic duoprism

The great heptagrammic-great hendecagrammic duoprism, also known as the 7/3-11/4 duoprism, is a uniform duoprism that consists of 11 great heptagrammic prisms and 7 great hendecagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a great heptagrammic-great hendecagrammic duoprism, centered at the origin and with edge length 4sin(3π/7)sin(4π/11), are given by: where j = 2, 4, 6 and k = 2, 4, 6, 8, 10.
 * $$\left(2\sin\frac{4\pi}{11},\,0,\,2\sin\frac{3\pi}{7},\,0\right),$$
 * $$\left(2\sin\frac{4\pi}{11},\,0,\,2\sin\frac{3\pi}{7}\cos\left(\frac{k\pi}{11}\right),\,±2\sin\frac{3\pi}{7}\sin\left(\frac{k\pi}{11}\right)\right),$$
 * $$\left(2\sin\frac{4\pi}{11}\cos\left(\frac{j\pi}{7}\right),\,±2\sin\frac{4\pi}{11}\sin\left(\frac{j\pi}{7}\right),\,2\sin\frac{3\pi}{7},\,0\right),$$
 * $$\left(2\sin\frac{4\pi}{11}\cos\left(\frac{j\pi}{7}\right),\,±2\sin\frac{4\pi}{11}\sin\left(\frac{j\pi}{7}\right),\,2\sin\frac{3\pi}{7}\cos\left(\frac{k\pi}{11}\right),\,±2\sin\frac{3\pi}{7}\sin\left(\frac{k\pi}{11}\right)\right),$$


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