34-13 step prism

The 34-13 step prism is a convex isogonal polychoron, member of the step prism family. It has 34 tetragonal disphenoids and 136 phyllic disphenoids of two kinds as cells. 4 tetragonal and 16 phyllic disphenoids join at each vertex. It is also the 34-21 step prism.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{61408+7878\sqrt{17}+202\sqrt{22525+2704\sqrt{17}}}}{202}$$ ≈ 1:1.79149.

Vertex coordinates
Coordinates for the vertices of a 34-13 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 33.
 * (sin(πk/17), cos(πk/17), sin(13πk/17), cos(13πk/17)),