50-7 step prism

The 50-7 step prism is a convex isogonal polychoron, member of the step prism family. It has 50 tetragonal disphenoids and 500 phyllic disphenoids of five kinds as cells.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{2+\cos\frac{3\pi}{25}-2\cos\frac{4\pi}{25}}{2-\cos\frac{\pi}{25}-\sin\frac{11\pi}{50}}}$$ ≈ 1:2.35436.

Vertex coordinates
Coordinates for the vertices of a 50-7 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 49.
 * (sin(πk/25), cos(πk/25), sin(7πk/25), cos(7πk/25)),