Square-great hendecagrammic duoprism

{{Infobox polytope The square-great hendecagrammic duoprism, also known as the 4-11/4 duoprism, is a uniform duoprism that consists of 11 cubes and 4 great hendecagrammic prisms, with 2 of each at each vertex.
 * img=
 * off=auto
 * dim=4
 * type=Uniform
 * obsa=
 * coxeter=x4o x11/4o ({{CDD|node_1|4|node|2|node_1|11|rat|d4|node}})
 * symmetry=B{{sub|2}}×I{{sub|2}}(11), order 176
 * army=Semi-uniform shendip
 * reg=
 * verf=Digonal disphenoid, edge lengths 2cos(4π/11) (base 1) and $\sqrt{2}$ (base 2 and sides)
 * cells=11 cubes, 4 great hendecagrammic prisms
 * faces=11+44 squares, 4 great hendecagrams
 * edges=44+44
 * vertices=44
 * circum=$$\frac{\sqrt{2+\frac1{\sin^2\frac{4\pi}{11}}} ≈ 0.89562$$
 * dich=Gishenp–11/4–gishenp: 90°
 * dich2=Cube–4–gishenp: 90°
 * dich3=Cube–4–cube: $$\frac{3\pi}{11} ≈ 49.09091^\circ$$
 * hypervolume=$$\frac{11}{4\tan\frac{4\pi}{11}} ≈ 1.25588$$
 * den=4
 * dual=Square-great hendecagrammic duotegum
 * conjugate=Square-hendecagonal duoprism, Square-small hendecagrammic duoprism, Square-hendecagrammic duoprism, Square-grand hendecagrammic duoprism
 * conv=No
 * orientable=Yes
 * nat=Tame
 * height=1
 * pieces=26
 * euler=0
 * loc=12}}

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

Representations
A square-great hendecagrammic duoprism has the following Coxeter diagrams:
 * x4o x11/4o (full symmetry)
 * x x x11/4o (I2(11)×A1×A1 symmetry, great hendecagrammic prismatic prism)