Octacontafold icosaswirlchoron

The octacontafold icosaswirlchoron is an isogonal polychoron with 2400 tetragonal disphenoids, 9600 phyllic disphenoids of two kinds, and 960 vertices. 10 tetragonal and 40 phyllic disphenoids join at each vertex. It is the eighth in an infinite family of isogonal icosahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a octacontafold icosaswirlchoron of circumradius 1, centered at the origin, are given by: along with 72°, 144°, 216° and 288° rotations in the xy axis of: where k is an integer from 0 to 39.
 * ±(0, 0, sin(kπ/40), cos(kπ/40)),
 * ±(cos(kπ/40), sin(kπ/40), 0, 0),
 * ±(2sin(kπ/40)/$\sqrt{10+2√5}$, 2cos(kπ/40)/$\sqrt{10+2√5}$, 2cos(kπ/40)/$\sqrt{10-2√5}$, 2sin(kπ/40)/$\sqrt{10-2√5}$),
 * ±(2sin(kπ/40)/$\sqrt{10-2√5}$, 2cos(kπ/40)/$\sqrt{10-2√5}$, -2cos(kπ/40)/$\sqrt{10+2√5}$, -2sin(kπ/40)/$\sqrt{10+2√5}$),