24-5 step prism

The 24-5 step prism is a convex isogonal polychoron, member of the step prism family. It has 144 phyllic disphenoids of three kinds as cells. Together with its dual, it is the seventh in an infinite family of triangular dihedral swirlchora, the fifth in an infinite family of square dihedral swirlchora and the third in an infinite family of hexagonal dihedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a 24-5 step prism of circumradius $\sqrt{2}$ are given by: where k is an integer from 0 to 23.
 * (sin(2πk/24), cos(2πk/24), sin(10πk/24), cos(10πk/24)),