33-10 step prism

The 33-10 step prism is a convex isogonal polychoron, member of the step prism family. It has 198 phyllic disphenoids of three kinds as cells. It is also the 33-23 step prism.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{\cos\frac{\pi}{11}+5\cos\frac{\pi}{22}-3}{2\cos\frac{\pi}{11}+6\sin\frac{\pi}{22}-3}}$$ ≈ 1:2.41891.

Vertex coordinates
Coordinates for the vertices of a 33-10 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 32.
 * (sin(2πk/33), cos(2πk/33), sin(20πk/33), cos(20πk/33)),