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, with 24 cells joining at each vertex. 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)),