11-2 step prism

The 11-2 step prism is a convex isogonal polychoron and a member of the step prism family. It has 44 phyllic disphenoids of four kinds as cells, with 16 joining at each vertex. It can also be constructed as the 11-5 step prism.

It is one of two isogonal polychora with 11 vertices, the other being the 11-3 step prism.

Vertex coordinates
Coordinates for the vertices of an 11-2 step prism inscribed in a hendecagonal duoprism with base lengths a and b are given by: where k is an integer from 0 to 10. If the edge length differences are to be minimized, the ratio of a:b must be equivalent to :$$\frac{1}{\sqrt{2\cos\frac{\pi}{11}+2\cos\frac{2\pi}{11}}}$$ ≈ 1:2.05638.
 * (a*sin(2πk/11), a*cos(2πk/11), b*sin(4πk/11), b*cos(4πk/11)),