Tetracontoctafold octaswirlchoron

The tetracontoctafold octaswirlchoron is an isogonal polychoron with 384 triangular gyroprisms, 576 rhombic disphenoids, 1152 phyllic disphenoids, and 288 vertices. 8 triangular gyroprisms, 8 rhombic disphenoids, and 16 phyllic disphenoids join at each vertex. It is the twelfth in an infinite family of isogonal octahedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{3-\sqrt3}{4-2\sqrt{2+\sqrt{2+\sqrt3}}}}$$ ≈ 1:6.08706.

Vertex coordinates
Coordinates for the vertices of a tetracontoctafold 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 23.
 * ±(0, 0, sin(kπ/24), cos(kπ/24)),
 * ±(sin(kπ/24), cos(kπ/24), 0, 0),
 * ±(sin(kπ/24)/$\sqrt{2}$, cos(kπ/24)/$\sqrt{2}$, cos(kπ/24)/$\sqrt{2}$, sin(kπ/24)/$\sqrt{2}$),