Triacontahexafold octaswirlchoron

The triacontahexafold octaswirlchoron is an isogonal polychoron with 288 triangular gyroprisms, 864 phyllic disphenoids, and 216 vertices. 8 triangular gyroprisms and 16 phyllic disphenoids join at each vertex. It is the ninth in an infinite family of isogonal octahedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{6-2\sqrt3}}{4\sin\frac{\pi}{36}}$$ ≈ 1:4.56783.

Vertex coordinates
Coordinates for the vertices of a triacontahexafold octaswirlchoron of circumradius 1, centered at the origin, are given by all permutations and sign changes of: along with 90°, 180° and 270° rotations in the xy axis of: where k is an integer from 0 to 17.
 * ±(0, 0, sin(kπ/18), cos(kπ/18)),
 * ±(sin(kπ/18), cos(kπ/18), 0, 0),
 * ±(sin((k+1/2)π/18)/$\sqrt{2}$, cos((k+1/2)π/18)/$\sqrt{2}$, cos((k+1/2)π/18)/$\sqrt{2}$, sin((k+1/2)π/18)/$\sqrt{2}$),