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. 4 triangular gyroprisms, 4 rhombic disphenoids, and 16 phyllic disphenoids join at each vertex. 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/72)/$\sqrt{2}$, cos((4k+11)π/72)/$\sqrt{2}$, cos((4k+13)π/72)/$\sqrt{2}$, sin((4k+13)π/72)/$\sqrt{2}$),
 * ±(cos((4k+9)π/72)/$\sqrt{2}$, -sin((4k+9)π/72)/$\sqrt{2}$, cos((4k+11)π/72)/$\sqrt{2}$, sin((4k+11)π/72)/$\sqrt{2}$),