48-7 step prism

The 48-7 step prism is a convex isogonal polychoron, member of the step prism family. It has 480 phyllic disphenoids of five kinds as cells.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{3280+984\sqrt2+82\sqrt{1068+714\sqrt2}}}{41}$$ ≈ 1:2.23664.

Vertex coordinates
Coordinates for the vertices of a 48-7 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)),