40-11 step prism

The 40-11 step prism is a convex isogonal polychoron, member of the step prism family. It has 240 phyllic disphenoids of three kinds as cells. 24 disphenoids join at each vertex.

The ratio between the longest and shortest edges is 1:$$\sqrt{3+\sqrt5}$$ ≈ 1:2.28825.

Vertex coordinates
Coordinates for the vertices of a 40-11 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 39.
 * (sin(πk/20), cos(πk/20), sin(11πk/20), cos(11πk/20)),