Hexagonal duoantifastegiaprism

The hexagonal duoantifastegiaprism or hidafup, also known as the hexagonal duoantiwedge, is a convex scaliform polyteron and a member of the duoantifastegiaprism family. It consists of 2 hexagonal duoprisms and 24 hexagonal antifastegiums. 1 hexagonal duoprism and 6 hexagonal antifastegiums join at each vertex.

Vertex coordinates
A hexagonal duoantifastegiaprism of edge length 1 has vertex coordinates given by:


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