Difold ditetraswirlchoron

The difold ditetraswirlchoron, also known as the disphenoidal-digonal scalenohedral 8-3 double step prism, is a convex isogonal polychoron, formed as a convex hull of two hexadecachora. It consists of 8 triangular antiprisms, 16 triangular pyramids and 24 phyllic disphenoids.

This polychoron cannot be optimized using the ratio method, because the solutions lead to degenerate polytopes or the tesseract instead.

Vertex coordinates
Coordinates for the vertices of a difold ditetraswirlchoron of circumradius 1, centered at the origin, are given by:
 * ±(0, 0, 0, 1),
 * ±($\sqrt{6}$/3, 0, $\sqrt{3}$/3, 0),
 * ±($\sqrt{6}$/6, ±$\sqrt{2}$/2, -$\sqrt{3}$/3, 0),
 * ±(0, 0, 1/2, $\sqrt{3}$/2),
 * ±(0, $\sqrt{6}$/3, -1/2, $\sqrt{3}$/6),
 * ±(±$\sqrt{2}$/2, $\sqrt{6}$/3, 1/2, -$\sqrt{3}$/6).