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.

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)),