Tetragonal-antiwedge difold tritetraswirlchoron

The tetragonal-antiwedge difold tritetraswirlchoron is a convex isogonal polychoron that consists of 24 tetragonal antiwedges and 24 phyllic disphenoids. 6 tetragonal antiwedges and 4 phyllic disphenoids join at each vertex. It can be obtained as the convex hull of three hexadecachora or two orthogonal 12-5 step prisms.

The ratio between the longest and shortest edges is 1:$$\sqrt{2+\sqrt2}$$ ≈ 1:1.84776.

Vertex coordinates
Coordinates for the vertices of a tetragonal-antiwedge difold tritetraswirlchoron are given by: where a = $\sqrt{18-6√3}$/6, b = $\sqrt{18+6√3}$/6 and k is an integer from 0 to 11.
 * (a*sin(2πk/12), a*cos(2πk/12), b*sin(10πk/12), b*cos(10πk/12)),
 * (b*sin(2πk/12), b*cos(2πk/12), a*sin(10πk/12), a*cos(10πk/12)),