25-7 step prism

The 25-7 step prism is a convex isogonal polychoron, member of the step prism family. It has 25 tetragonal disphenoids and 100 phyllic disphenoids of two kinds as cells.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{4+2\cos\frac{3\pi}{25}-2\cos\frac{4\pi}{25}}{4-2\cos\frac{6\pi}{25}-2\sin\frac{9\pi}{50}}}$$ ≈ 1:1.67124.

Vertex coordinates
Coordinates for the vertices of a 25-7 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 24.
 * (sin(2πk/25), cos(2πk/25), sin(14πk/25), cos(14πk/25)),