26-5 step prism

The 26-5 step prism is a convex isogonal polychoron, member of the step prism family. It has 26 tetragonal disphenoids and 156 phyllic disphenoids of three kinds as cells.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{2+\cos\frac{2\pi}{13}-\cos\frac{3\pi}{13}}{2-\cos\frac{\pi}{13}-\sin\frac{3\pi}{26}}}$$ ≈ 1:1.78000.

Vertex coordinates
Coordinates for the vertices of a 26-5 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 25.
 * (sin(πk/13), cos(πk/13), sin(5πk/13), cos(5πk/13)),