Pentacontafold icosaswirlchoron

The pentacontafold icosaswirlchoron is an isogonal polychoron with 3000 tetragonal disphenoids of two kinds, 3000 phyllic disphenoids and 600 vertices. It is the fifth in an infinite family of isogonal icosahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a tetracontafold 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)/$\sqrt{10+2√5}$),