Pentacontafold icosaswirlchoron

The pentacontafold icosaswirlchoron is an isogonal polychoron with 6000 tetragonal disphenoids of two kinds and 600 vertices. 40 disphenoids join at each vertex. It is the fifth in an infinite family of isogonal icosahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a pentacontafold 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 24.
 * ±(0, 0, sin(kπ/25), cos(kπ/25)),
 * ±(cos(kπ/25), sin(kπ/25), 0, 0),
 * ±(2sin(kπ/25)/$\sqrt{10+2√5}$, 2cos(kπ/25)/$\sqrt{10+2√5}$, 2cos(kπ/25)/$\sqrt{10-2√5}$, 2sin(kπ/25)/$\sqrt{10-2√5}$),
 * ±(2sin(kπ/25)/$\sqrt{10-2√5}$, 2cos(kπ/25)/$\sqrt{10-2√5}$, -2cos(kπ/25)/$\sqrt{10+2√5}$, -2sin(kπ/25)/$\sqrt{10+2√5}$),