Decagrammic-grand hendecagrammic duoprism

The decagrammic-grand hendecagrammic duoprism, also known as the 10/3-11/5 duoprism, is a uniform duoprism that consists of 11 decagrammic prisms and 10 grand hendecagrammic prisms, with 2 of each at each vertex.

Coordinates
The vertex coordinates of a decagrammic-grand hendecagrammic duoprism, centered at the origin and with edge length 2sin(5π/11), are given by: where j = 2, 4, 6, 8, 10.
 * $$\left(±\sin\frac{5\pi}{11},\,±\sqrt{5-2\sqrt5}\sin\frac{5\pi}{11},\,1,\,0\right),$$
 * $$\left(±\sin\frac{5\pi}{11},\,±\sqrt{5-2\sqrt5}\sin\frac{5\pi}{11},\,\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right)\right),$$
 * $$\left(±\frac{3-\sqrt5}{2}\sin\frac{5\pi}{11},\,±\sqrt{\frac{5-\sqrt5}{2}}\sin\frac{5\pi}{11},\,1,\,0\right),$$
 * $$\left(±\frac{3-\sqrt5}{2}\sin\frac{5\pi}{11},\,±\sqrt{\frac{5-\sqrt5}{2}}\sin\frac{5\pi}{11}\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right)\right),$$
 * $$\left(±\left(\sqrt5-1\right)\sin\frac{5\pi}{11},\,0,\,1,\,0\right),$$
 * $$\left(±\left(\sqrt5-1\right)\sin\frac{5\pi}{11},\,0\cos\left(\frac{j\pi}{11}\right),\,±\sin\left(\frac{j\pi}{11}\right)\right),$$