12-2 step prism

The 12-2 step prism is a convex isogonal polychoron and a member of the step prism family. It has 6 rhombic disphenoids and 48 phyllic disphenoids of four kinds as cells, with 18 (2 rhombic and 16 phyllic disphenoids) joining at each vertex.

Vertex coordinates
Coordinates for the vertices of a 12-2 step prism inscribed in a dodecagonal duoprism with base lengths a and b are given by: where k is an integer from 0 to 11. If the edge length differences are to be minimized, the ratio of a:b must be equivalent to 1:$$\sqrt{2+\sqrt3}$$ ≈ 1:1.93185.
 * (a*sin(πk/6), a*cos(πk/6), b*sin(πk/3), b*cos(πk/3)),