Hectofold icosaswirlchoron

The hectofold icosaswirlchoron is an isogonal polychoron with 3000 tetragonal disphenoids, 12000 phyllic disphenoids of two kinds and 1200 vertices. It is the tenth in an infinite family of isogonal icosahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a hectofold 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 49.
 * ±(0, 0, sin(kπ/50), cos(kπ/50)),
 * ±(cos(kπ/50), sin(kπ/50), 0, 0),
 * ±(2sin(kπ/50)/$\sqrt{10+2√5}$, 2cos(kπ/50)/$\sqrt{10+2√5}$, 2cos(kπ/50)/$\sqrt{10-2√5}$, 2sin(kπ/50)/$\sqrt{10-2√5}$),
 * ±(2sin(kπ/50)/$\sqrt{10-2√5}$, 2cos(kπ/50)/$\sqrt{10-2√5}$, -2cos(kπ/50)/$\sqrt{10+2√5}$, -2sin(kπ/50)/$\sqrt{10+2√5}$),