Hexagonal duoantifastegium

The hexagonal duoantifastegium or hiddaf, also known as the digonal-hexagonal duoantifastegiaprism, digonal-hexagonal duoantiwedge, is a convex scaliform polyteron and the fourth member of the duoantifastegium family. It consists of 4 hexagonal antifastegiums and 12 square scalenes, with 3 of each joining at each vertex.

Vertex coordinates
A hexagonal antifastegium has vertex coordinates given by:


 * $$\left(±1,\,0,\,±\frac12,\,0,\,\sqrt{\frac{2\sqrt3-3}{8}}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,±\frac12,\,0,\,\sqrt{\frac{2\sqrt3-3}{8}}\right),$$
 * $$\left(0,\,±1,\,0,\,±\frac12,\,-\sqrt{\frac{2\sqrt3-3}{8}}\right),$$
 * $$\left(±\frac{\sqrt3}{2},\,±\frac12,\,0,\,±\frac12,\,-\sqrt{\frac{2\sqrt3-3}{8}}\right),$$