Octafold tetraswirlchoron

The octafold tetraswirlchoron is an isogonal polychoron with 48 tetragonal disphenoids, 96 phyllic disphenoids and 32 vertices. It is the fourth in an infinite family of isogonal tetrahedral swirlchora.

Vertex coordinates
Coordinates for the vertices of a dodecafold 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 3.
 * ±(0, 0, sin(kπ/4), cos(kπ/4)),
 * ±($\sqrt{6}$sin(kπ/4)/3, $\sqrt{6}$cos(kπ/4)/3, $\sqrt{3}$cos(kπ/4)/3, $\sqrt{3}$sin(kπ/4)/3),