Tetrafold tetraswirlchoron

The 2-tetrahedral swirlprism is an isogonal polychoron with 72 tetrahedra of four types and 16 vertices. Together with its dual, it is the second in an infinite family of tetrahedral swirlchora.

Vertex coordinates
The vertices of a 2-tetrahedral swirlprism of circumradius 1, centered at the origin, are:
 * (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)