Triangular-grand hendecagrammic duoprism

The triangular-grand hendecagrammic duoprism, also known as the 3-11/5 duoprism, is a uniform duoprism that consists of 11 triangular prisms and 3 grand hendecagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a triangular-grand hendecagrammic duoprism, centered at the origin and with edge length 2sin(5π/11), are given by: where j = 2, 4, 6, 8, 10.
 * $$\left(0,\,\frac{2\sqrt3}3\sin\frac{5\pi}{11},\,1,\,0\right),$$
 * $$\left(0,\,\frac{2\sqrt3}3\sin\frac{5\pi}{11},\,\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right)\right),$$
 * $$\left(±\sin\frac{5\pi}{11},\,-\frac{\sqrt3}3\sin\frac{5\pi}{11},\,1,\,0\right),$$
 * $$\left(±\sin\frac{5\pi}{11},\,-\frac{\sqrt3}3\sin\frac{5\pi}{11},\,\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right)\right),$$