Tetracontoctafold cuboctaswirlchoron

The tetracontoctafold cuboctaswirlchoron is an isogonal polychoron with 288 square gyroprisms, 384 triangular gyroprisms, 1152 phyllic disphenoids, and 576 vertices. 4 square gyroprisms, 4 triangular gyroprisms, and 8 phyllic disphenoids join at each vertex. It is the sixth in an infinite family of isogonal cuboctahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a tetracontoctafold cuboctaswirlchoron of circumradius 1, centered at the origin, are given by, along with their 90°, 180° and 270° rotations in the xy axis of: where k is an integer from 0 to 23.
 * ±(sin(kπ/24)/$\sqrt{4+2√2}$, cos(kπ/24)/$\sqrt{4+2√2}$, cos(kπ/24)/$\sqrt{4-2√2}$, sin(kπ/24)/$\sqrt{4-2√2}$),
 * ±(sin(kπ/24)/$\sqrt{4-2√2}$, cos(kπ/24)/$\sqrt{4-2√2}$, cos(kπ/24)/$\sqrt{4+2√2}$, sin(kπ/24)/$\sqrt{4+2√2}$),
 * ±(sin((2k+6)π/48)/$\sqrt{2}$, cos((2k+6)π/48)/$\sqrt{2}$, cos((2k-6)π/48)/$\sqrt{2}$, sin((2k-6)π/48)/$\sqrt{2}$),