Grand hendecagrammic duoprism

The grand hendecagrammic duoprism, also known as the grand hendecagrammic-grand hendecagrammic duoprism, the 11/5 duoprism or the 11/5-11/5 duoprism, is a noble uniform duoprism that consists of 22 grand hendecagrammic prisms, with 4 meeting at each vertex.

Vertex coordinates
The vertex coordinates of a grand hendecagrammic duoprism, centered at the origin and with edge length 2sin(5π/11), are given by: where j, k = 2, 4, 6, 8, 10.
 * $$\left(1,\,0,\,1,\,0\right),$$
 * $$\left(1,\,0,\,\cos\left(\frac{k\pi}{11}\right),\,±\sin\left(\frac{k\pi}{11}\right)\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,1,\,0\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,\cos\left(\frac{k\pi}{11}\right),\,±\sin\left(\frac{k\pi}{11}\right)\right),$$