Transitional 12-5 double gyrostep prism

The medial transitional 12-5 double gyrotep prism is a convex isogonal polychoron that consists of 24 tetragonal antiwedges and 48 phyllic disphenoids of two kinds obtained as the convex hull of two orthogonal 12-5 step prisms.

The ratio between the longest and shortest edges is 1:$\sqrt{4+2√2}$ ≈ 1:2.61313.

Vertex coordinates
Coordinates for the vertices of a medial transitional 12-5 double gyrostep prism are given by: where a/b is equal to 3+2$\sqrt{3}$-$\sqrt{14+8√3}$ ≈ 1.18618.
 * (a*sin(2πk/12), a*cos(2πk/12), b*sin(10πk/12), b*cos(10πk/12)),
 * (b*sin(2πk/12), b*cos(2πk/12), a*sin(10πk/12), a*cos(10πk/12)),