15-4 step prism

The 15-4 step prism is a convex isogonal polychoron and a member of the step prism family. It has 60 phyllic disphenoids of two kinds as cells, with 16 joining at each vertex.

Compared to other 15-vertex step prisms, this polychoron has doubled symmetry, because 15 is a factor of 42-1 = 15.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{594+154\sqrt5}}{22}$$ ≈ 1:1.39239.

Vertex coordinates
Coordinates for the vertices of a 15-4 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 14.
 * (sin(2πk/15), cos(2πk/15), sin(8πk/15), cos(8πk/15)),