Chiroicosioctafold cuboctaswirlchoron

The chiroicosioctafold cuboctaswirlchoron is an isogonal polychoron with 336 tetragonal disphenoids, 2016 phyllic disphenoids of three 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 chiroicosioctafold 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 13.
 * ±(sin(kπ/14)/$\sqrt{4+2√2}$, cos(kπ/14)/$\sqrt{4+2√2}$, cos(kπ/14)/$\sqrt{4-2√2}$, sin(kπ/14)/$\sqrt{4-2√2}$),
 * ±(sin(kπ/14)/$\sqrt{4-2√2}$, cos(kπ/14)/$\sqrt{4-2√2}$, cos(kπ/14)/$\sqrt{4+2√2}$, sin(kπ/14)/$\sqrt{4+2√2}$),
 * ±(cos((2k-1)π/28)/$\sqrt{4+2√2}$, -sin((2k-1)π/28)/$\sqrt{4+2√2}$, cos((2k-1)π/28)/$\sqrt{4-2√2}$, sin((2k-1)π/28)/$\sqrt{4-2√2}$),
 * ±(cos((2k-1)π/28)/$\sqrt{4-2√2}$, -sin((2k-1)π/28)/$\sqrt{4-2√2}$, cos((2k-1)π/28)/$\sqrt{4+2√2}$, sin((2k-1)π/28)/$\sqrt{4+2√2}$),
 * ±(sin((4k+9)π/56)/$\sqrt{2}$, cos((4k+9)π/56)/$\sqrt{2}$, cos((4k+11)π/56)/$\sqrt{2}$, sin((4k+11)π/56)/$\sqrt{2}$),
 * ±(cos((4k+7)π/56)/$\sqrt{2}$, -sin((4k+7)π/56)/$\sqrt{2}$, cos((4k+9)π/56)/$\sqrt{2}$, sin((4k+9)π/56)/$\sqrt{2}$),