15-2 step prism

The 15-2 step prism is a convex isogonal polychoron, member of the step prism family. It has 90 phyllic disphenoids of six kinds as cells, with 24 joining at each vertex. It can also be constructed as the 15-7 step prism. Together with its dual, it is the second in an infinite family of pentagonal dihedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a 15-2 step prism inscribed in a pentadecagonal duoprism with base lengths a and b are given by: where k is an integer from 0 to 14. If the edge length differences are to be minimized, the ratio of a:b must be equivalent to 1:$$\frac{\sqrt{7+3\sqrt5+\sqrt{150+66\sqrt5}}}{2}$$ ≈ 1:2.78203.
 * (a*sin(2πk/15), a*cos(2πk/15), b*sin(4πk/15), b*cos(4πk/15)),