Hendecagrammic duoprism

The hendecagrammic duoprism, also known as the hendecagrammic-hendecagrammic duoprism, the 11/3 duoprism or the 11/3-11/3 duoprism, is a noble uniform duoprism that consists of 22 hendecagrammic prisms, with 4 meeting at each vertex.

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

Vertex coordinates
The coordinates of a hendecagrammic duoprism, centered at the origin and with edge length 2sin(3π/11), are given by: where j, k = 2, 4, 6, 8, 10.
 * $$\left(1,\,0,\,1,\,0\right),$$
 * $$\left(1,\,0,\,\cos\left(\frac{k\pi}{11}\right),\,±\sin\left(\frac{k\pi}{11}\right)\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,1,\,0\right),$$
 * $$\left(\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right),\,\cos\left(\frac{k\pi}{11}\right),\,±\sin\left(\frac{k\pi}{11}\right)\right),$$