Hexadecafold tetraswirlchoron

The hexadecafold tetraswirlchoron is an isogonal polychoron with 96 rhombic disphenoids, 384 phyllic disphenoids of two kinds, and 64 vertices. 6 rhombic and 24 phyllic disphenoids join at each vertex. It is the eighth in an infinite family of isogonal tetrahedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{6-\sqrt6}{6-3\sqrt{2+\sqrt2}}}$$ ≈ 1:2.78817.

Vertex coordinates
Coordinates for the vertices of a hexadecafold tetraswirlchoron of circumradius 1, centered at the origin, are given by: along with 120° and 240° rotations in the xy axis of: where k is an integer from 0 to 7.
 * ±(0, 0, sin(kπ/8), cos(kπ/8)),
 * ±($\sqrt{6}$sin(kπ/8)/3, $\sqrt{6}$cos(kπ/8)/3, $\sqrt{3}$cos(kπ/8)/3, $\sqrt{3}$sin(kπ/8)/3),