Square-grand hendecagrammic duoprism

The square-grand hendecagrammic duoprism, also known as the 4-11/5 duoprism, is a uniform duoprism that consists of 11 cubes and 4 grand hendecagrammic prisms, with 2 of each at each vertex.

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

Representations
A square-grand hendecagrammic duoprism has the following Coxeter diagrams:
 * x4o x11/5o (full symmetry)
 * x x x11/5o (I2(11)×I×I symmetry, grand hendecagrammic prismatic prism)