20-3 step prism

The 20-3 step prism is a convex isogonal polychoron and a member of the step prism family. It has 120 phyllic disphenoids of six kinds as cells, with 24 joining at each vertex. Together with its dual, it is the third in an infinite family of pentagonal dihedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a 20-3 step prism inscribed in an icosagonal duoprism with base lengths a and b are given by: where k is an integer from 0 to 19. If the edge length differences are to be minimized, the ratio of a:b must be equivalent to 1:$$\sqrt{2+\sqrt5}$$ ≈ 1:2.05817.
 * (a*sin(πk/10), a*cos(πk/10), b*sin(3πk/10), b*cos(3πk/10)),