Tetrafold tetraswirlchoron

The 2-tetrahedral swirlprism is an isogonal polychoron with 24 tetragonal disphenoids, 48 phyllic disphenoids and 16 vertices. Together with its dual, it is the second in an infinite family of tetrahedral swirlchora.

Vertex coordinates
Coordinates for 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).

Isogonal derivatives
Substitution by vertices of these following elements will produce these convex isogonal polychora:
 * Edge (16): 2-tetrahedral swirlprism
 * Edge (24): Icositetrachoron
 * Edge (48): 6-tetrahedral swirlprism