Small transitional 30-11 double gyrostep prism

The small transitional 30-11 double gyrostep prism is a convex isogonal polychoron that consists of 60 skew rectangular tegums and 60 tetrahedra. 6 skew rectangular tegums and 4 tetrahedra join at each vertex. It can be obtained as the convex hull of two orthogonal 30-11 step prisms.

It can also be obtained as a diminishing of the hexacosichoron and is also a vertex-faceting of the grand antiprism.

The ratio between the longest and shortest edges is 1:$$\frac{1+\sqrt5}{2}$$ ≈ 1:1.61803.

Vertex coordinates
Coordinates for the vertices of a small transitional 30-11 double gyrostep prism are given by: where $$a = \frac{\sqrt{2700+900\sqrt5-60\sqrt{1950+870\sqrt5}}}{60},\ b=\frac{\sqrt{675+225\sqrt5+15\sqrt{1950+870\sqrt5}}}{30},\ $$ and k is an integer from 0 to 29.
 * (a*sin(πk/15), a*cos(πk/15), b*sin(11πk/15), b*cos(11πk/15)),
 * (b*sin(πk/15), b*cos(πk/15), -a*sin(11πk/15), -a*cos(11πk/15)),