Chiroicosafold cuboctaswirlchoron

The chiroicosafold cuboctaswirlchoron is an isogonal polychoron with 240 tetragonal disphenoids, 1440 phyllic disphenoids of three kinds and 240 vertices. It is the third in an infinite family of isogonal chiral cuboctahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a chiroicosafold cuboctaswirlchoron of circumradius 1, centered at the origin, are given by, along with their 180° rotations in the xy axis of: where k is an integer from 0 to 9.
 * ±(sin(kπ/10)/$\sqrt{4+2√2}$, cos(kπ/10)/$\sqrt{4+2√2}$, cos(kπ/10)/$\sqrt{4-2√2}$, sin(kπ/10)/$\sqrt{4-2√2}$),
 * ±(sin(kπ/10)/$\sqrt{4-2√2}$, cos(kπ/10)/$\sqrt{4-2√2}$, cos(kπ/10)/$\sqrt{4+2√2}$, sin(kπ/10)/$\sqrt{4+2√2}$),
 * ±(cos((2k-1)π/20)/$\sqrt{4+2√2}$, -sin((2k-1)π/20)/$\sqrt{4+2√2}$, cos((2k-1)π/20)/$\sqrt{4-2√2}$, sin((2k-1)π/20)/$\sqrt{4-2√2}$),
 * ±(cos((2k-1)π/20)/$\sqrt{4-2√2}$, -sin((2k-1)π/20)/$\sqrt{4-2√2}$, cos((2k-1)π/20)/$\sqrt{4+2√2}$, sin((2k-1)π/20)/$\sqrt{4+2√2}$),
 * ±(sin((4k+7)π/40)/$\sqrt{2}$, cos((4k+7)π/40)/$\sqrt{2}$, cos((4k+9)π/40)/$\sqrt{2}$, sin((4k+9)π/40)/$\sqrt{2}$),
 * ±(cos((4k+5)π/40)/$\sqrt{2}$, -sin((4k+5)π/40)/$\sqrt{2}$, cos((4k+7)π/40)/$\sqrt{2}$, sin((4k+7)π/40)/$\sqrt{2}$),