Enneacontafold icosaswirlchoron

The enneacontafold icosaswirlchoron is an isogonal polychoron with 1800 triangular antiprisms, 5400 phyllic disphenoids and 1080 vertices. It is the ninth in an infinite family of isogonal icosahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of an enneacontafold 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 44.
 * ±(0, 0, sin(kπ/45), cos(kπ/45)),
 * ±(cos(kπ/45), sin(kπ/45), 0, 0),
 * ±(2sin(kπ/45)/$\sqrt{10+2√5}$, 2cos(kπ/45)/$\sqrt{10+2√5}$, 2cos(kπ/45)/$\sqrt{10-2√5}$, 2sin(kπ/45)/$\sqrt{10-2√5}$),
 * ±(2sin(kπ/45)/$\sqrt{10-2√5}$, 2cos(kπ/45)/$\sqrt{10-2√5}$, -2cos(kπ/45)/$\sqrt{10+2√5}$, -2sin(kπ/45)/$\sqrt{10+2√5}$),