Tetrafold tetraswirlchoron

The 2-tetrahedral swirlprism is an isogonal polychoron with 72 tetrahedra of four types and 16 vertices.

Vertex coordinates
The vertices of a 2-tetrahedral swirlprismn of circumradius 1, centered at the origin, are given by
 * (0, 0, 0, ±1)
 * (0, 0, ±1, 0)
 * (0, $\sqrt{6}$/3, $\sqrt{3}$/3, 0)
 * (0, -$\sqrt{6}$/3, -$\sqrt{3}$/3, 0)
 * ($\sqrt{6}$/3, 0, 0, $\sqrt{3}$/3)
 * (-$\sqrt{6}$/3, 0, 0, $\sqrt{3}$/3)
 * ($\sqrt{6}$/6, $\sqrt{2}$/2, 0, -$\sqrt{3}$/3)
 * (-$\sqrt{6}$/6, -$\sqrt{2}$/2, 0, $\sqrt{3}$/3)
 * ($\sqrt{6}$/6, -$\sqrt{2}$/2, 0, -$\sqrt{3}$/3)
 * (-$\sqrt{6}$/6, $\sqrt{2}$/2, 0, $\sqrt{3}$/3)
 * ($\sqrt{2}$/2, $\sqrt{6}$/6, -$\sqrt{3}$/3, 0)
 * (-$\sqrt{2}$/2, -$\sqrt{6}$/6, $\sqrt{3}$/3, 0)
 * ($\sqrt{2}$/2, -$\sqrt{6}$/6, $\sqrt{3}$/3, 0)
 * (-$\sqrt{2}$/2, $\sqrt{6}$/6, -$\sqrt{3}$/3, 0)