10-2 double step prism

The 10-2 double step prism is a convex isogonal polychoron that consists of 40 rhombic disphenoids of two kinds and 40 phyllic disphenoids as the convex hull of two 10-2 step prisms.

It is also the convex hull of a 10-2 step prism and its central inversion.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{176+44\sqrt5}}{11}$$ ≈ 1:1.50588.

Vertex coordinates
Coordinates for the vertices of a 10-2 double step prism are given by: where a = 1/2 and k is an integer from 0 to 9.
 * (a*sin(2πk/10), a*cos(2πk/10), a*sin(6πk/10), a*cos(6πk/10)),
 * (a*sin(2πk/10), a*cos(2πk/10), -a*sin(6πk/10), -a*cos(6πk/10)),