Tetracontafold octaswirlchoron

The tetracontafold octaswirlchoron is an isogonal polychoron with 480 tetragonal disphenoids, 1920 phyllic disphenoids of two kinds and 240 vertices. It is the tenth in an infinite family of isogonal octahedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{4-\sqrt{5+\sqrt5}}{4-\sqrt{8+2\sqrt{10+2\sqrt5}}}}$$ ≈ 1:5.15761.

Vertex coordinates
Coordinates for the vertices of a tetracontafold octaswirlchoron of circumradius 1, centered at the origin, are given by all permutations and sign changes of: along with 90°, 180° and 270° rotations in the xy axis of: where k is an integer from 0 to 19.
 * ±(0, 0, sin(kπ/20), cos(kπ/20)),
 * ±(sin(kπ/20), cos(kπ/20), 0, 0),
 * ±(sin(kπ/20)/$\sqrt{2}$, cos(kπ/20)/$\sqrt{2}$, cos(kπ/20)/$\sqrt{2}$, sin(kπ/20)/$\sqrt{2}$),