Hecatonicosafold icosaswirlchoron

The hecatondecafold icosaswirlchoron is an isogonal polychoron with 2400 triangular gyroprisms, 3600 rhombic disphenoids, 7200 phyllic disphenoids, and 1440 vertices. 10 triangular gyroprisms, 10 rhombic disphenoids, and 20 phyllic disphenoids join at each vertex. It is the twelfth in an infinite family of isogonal icosahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a hecatonicosafold 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 59.
 * ±(0, 0, sin(kπ/60), cos(kπ/60)),
 * ±(cos(kπ/60), sin(kπ/60), 0, 0),
 * ±(2sin(kπ/60)/$\sqrt{10+2√5}$, 2cos(kπ/60)/$\sqrt{10+2√5}$, 2cos(kπ/60)/$\sqrt{10-2√5}$, 2sin(kπ/60)/$\sqrt{10-2√5}$),
 * ±(2sin(kπ/60)/$\sqrt{10-2√5}$, 2cos(kπ/60)/$\sqrt{10-2√5}$, -2cos(kπ/60)/$\sqrt{10+2√5}$, -2sin(kπ/60)/$\sqrt{10+2√5}$),