Tetracontoctafold cubiswirlchoron

The tetracontoctafold cubiswirlchoron is an isogonal polychoron with 288 square gyroprisms, 576 rhombic disphenoids, 1152 phyllic disphenoids, and 384 vertices. 6 square gyroprisms, 6 rhombic disphenoids, and 12 phyllic disphenoids join at each vertex. It is the fourth in an infinite family of isogonal cubic swirlchora.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{3-\sqrt3}{6-3\sqrt{2+\sqrt{2+\sqrt3}}}}$$ ≈ 1:4.97006.

Vertex coordinates
Coordinates for the vertices of an tetracontoctafold cubiswirlchoron of circumradius 1, centered at the origin, are given by (along with their 90°, 180° and 270° rotations in the xy axis): where k is an integer from 0 to 23.
 * $$\left(\frac{\sin\left(k\pi/24\right)}{\sqrt{3+\sqrt3}},\,\frac{\cos\left(k\pi/24\right)}{\sqrt{3+\sqrt3}},\,\frac{\cos\left(k\pi/24\right)}{\sqrt{3-\sqrt3}},\,\frac{\sin\left(k\pi/24\right)}{\sqrt{3-\sqrt3}}\right),$$
 * $$\left(\frac{\sin\left(k\pi/24\right)}{\sqrt{3-\sqrt3}},\,\frac{\cos\left(k\pi/24\right)}{\sqrt{3-\sqrt3}},\,\frac{\cos\left(k\pi/24\right)}{\sqrt{3+\sqrt3}},\,\frac{\sin\left(k\pi/24\right)}{\sqrt{3+\sqrt3}}\right),$$