Icosafold tetraswirlchoron

The icosafold tetraswirlchoron is an isogonal polychoron with 120 tetragonal disphenoids, 480 phyllic disphenoids of two kinds and 80 vertices. It is the tenth in an infinite family of isogonal tetrahedral swirlchora.

The ratio between the longest and shortest edges is 1:$\sqrt{(12-√3-√15)/(12-3√10+2√5)}$ ≈ 1:3.29975.

Vertex coordinates
Coordinates for the vertices of an icosafold tetraswirlchoron of circumradius 1, centered at the origin, are given by: along with 120° and 240° rotations in the xy axis of: where k is an integer from 0 to 8.
 * ±(0, 0, sin(kπ/9), cos(kπ/9)),
 * ±($\sqrt{6}$sin(kπ/9)/3, $\sqrt{6}$cos(kπ/9)/3, $\sqrt{3}$cos(kπ/9)/3, $\sqrt{3}$sin(kπ/9)/3),