Digonal-scalenohedral 8-3 double step prism

The digonal-scalenohedral 8-3 double step prism is a convex isogonal polychoron, formed as a convex hull of two 8-3 step prisms in a way that leaves six corealmic vertices corresponding to a digonal scalenohedron. It consists of 8 chiral digonal scalenohedra, 16 tetragonal disphenoids, and 16 phyllic disphenoids. 3 digonal scalenohedra, 4 tetragonal disphenoids, and 4 phyllic disphenoids join at each vertex.

It can be constructed by removing an inscribed digonal-scalenohedral 8-3 double step prism from a rectified tesseract.

The ratio between the longest and shortest edges is 1:$$\sqrt3$$ ≈ 1:1.73205.

Vertex coordinates
Coordinates for the vertices of a digonal-scalenohedral 8-3 double step prism are given by: where a = $$\frac{\sqrt2-1}{2}$$, b = $$\frac{1+\sqrt2}{2}$$, and k is an integer from 0 to 7.
 * (a*sin(2πk/8), a*cos(2πk/8), b*sin(6πk/8), b*cos(6πk/8)),
 * (b*sin(2πk/8), b*cos(2πk/8), a*sin(6πk/8), a*cos(6πk/8)),