Chirotriacontahexafold cuboctaswirlchoron

The chirotriacontahexafold cuboctaswirlchoron is an isogonal polychoron with 288 triangular antiprisms, 432 rhombic disphenoids, 1728 phyllic disphenoids of two kinds and 336 vertices. It is the fourth in an infinite family of isogonal chiral cuboctahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a chirotriacontahexafold 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 17.
 * ±(sin(kπ/18)/$\sqrt{4+2√2}$, cos(kπ/18)/$\sqrt{4+2√2}$, cos(kπ/18)/$\sqrt{4-2√2}$, sin(kπ/18)/$\sqrt{4-2√2}$),
 * ±(sin(kπ/18)/$\sqrt{4-2√2}$, cos(kπ/18)/$\sqrt{4-2√2}$, cos(kπ/18)/$\sqrt{4+2√2}$, sin(kπ/18)/$\sqrt{4+2√2}$),
 * ±(cos((2k-1)π/36)/$\sqrt{4+2√2}$, -sin((2k-1)π/36)/$\sqrt{4+2√2}$, cos((2k-1)π/36)/$\sqrt{4-2√2}$, sin((2k-1)π/36)/$\sqrt{4-2√2}$),
 * ±(cos((2k-1)π/36)/$\sqrt{4-2√2}$, -sin((2k-1)π/36)/$\sqrt{4-2√2}$, cos((2k-1)π/36)/$\sqrt{4+2√2}$, sin((2k-1)π/36)/$\sqrt{4+2√2}$),
 * ±(sin((4k+11)π/56)/$\sqrt{2}$, cos((4k+11)π/56)/$\sqrt{2}$, cos((4k+13)π/56)/$\sqrt{2}$, sin((4k+13)π/56)/$\sqrt{2}$),
 * ±(cos((4k+9)π/56)/$\sqrt{2}$, -sin((4k+9)π/56)/$\sqrt{2}$, cos((4k+11)π/56)/$\sqrt{2}$, sin((4k+11)π/56)/$\sqrt{2}$),