24-7 step prism

The 24-7 step prism, also known as the digonal double triswirlprism, is a convex isogonal polychoron and a member of the step prism family. It has 24 rhombic disphenoids and 96 phyllic disphenoids of two kinds as cells, with 20 (4 rhombic and 16 phyllic disphenoids) joining at each vertex. It is the second in an infinite family of isogonal digonal prismatic swirlchora.

The ratio between the longest and shortest edges is 1:$$\sqrt{2+\sqrt2}$$ ≈ 1:1.84776.

Vertex coordinates
Coordinates for the vertices of a 24-7 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 23.
 * $$\left(\sin\frac{\pi k}{12},\,\cos\frac{\pi k}{12},\,\sin\frac{7\pi k}{12},\,\cos\frac{7\pi k}{12}\right),$$