48-17 step prism

The 48-17 step prism is a convex isogonal polychoron, member of the step prism family. It has 48 rhombic disphenoids and 288 phyllic disphenoids of three kinds as cells. 4 rhombic and 24 phyllic disphenoids join at each vertex.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{14+6\sqrt2+2\sqrt{52+34\sqrt2}}}{2}$$ ≈ 1:3.25936.

Vertex coordinates
Coordinates for the vertices of a 48-17 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 47.
 * (sin(πk/24), cos(πk/24), sin(7πk/24), cos(7πk/24)),