35-6 step prism

The 35-6 step prism is a convex isogonal polychoron, member of the step prism family. It has 280 phyllic disphenoid]]s of four kinds as cells.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{4+2\cos\frac{\pi}{35}-2\cos\frac{6\pi}{35}}{4-2\cos\frac{2\pi}{35}-2\sin\frac{11\pi}{70}}}$$ ≈ 1:1.98552.

Vertex coordinates
Coordinates for the vertices of a 35-6 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 34.
 * (sin(2πk/35), cos(2πk/35), sin(12πk/35), cos(12πk/35)),