Transitional 10-3 double step prism

The transitional 10-3 double step prism is a convex isogonal polychoron that consists of 10 digonal scalenohedra, 20 phyllic disphenoids and 40 irregular tetrahedra obtained as the convex hull of two orthogonal 10-3 step prisms.

The ratio between the longest and shortest edges is 1:$\sqrt{5}$ ≈ 1:2.23607.

Vertex coordinates
Coordinates for the vertices of a great 10-3 double step prism are given by: where a/b is equal to (7-3$\sqrt{5}$)/2 ≈ 0.14590.
 * (a*sin(2πk/10), a*cos(2πk/10), b*sin(6πk/10), b*cos(6πk/10)),
 * (b*sin(2πk/10), b*cos(2πk/10), a*sin(6πk/10), a*cos(6πk/10)),