Triangular-hexagonal duoantifastegiaprism

The triangular-hexagonal duoantifastegiaprism or thidafup, also known as the triangular-hexagonal duoantiwedge, is a convex scaliform polyteron and a member of the duoantifastegiaprism family. It consists of 2 triangular-hexagonal duoprisms, 6 hexagonal antifastegiums, and 12 triangular antifastegiums. 1 triangular-hexagonal duoprism, 3 hexagonal antifastegiums, and 3 triangular antifastegiums join at each vertex.

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


 * $$\left(±1,\,0,\,0,\,\frac{\sqrt3}{3},\,\sqrt{\frac{3\sqrt3-4}{12}}\right),$$
 * $$\left(±1,\,0,\,±\frac12,\,-\frac{\sqrt3}{6},\,\sqrt{\frac{3\sqrt3-4}{12}}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,0,\,\frac{\sqrt3}{3},\,\sqrt{\frac{3\sqrt3-4}{12}}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,±\frac12,\,-\frac{\sqrt3}{6},\,\sqrt{\frac{3\sqrt3-4}{12}}\right),$$
 * $$\left(0,\,±1,\,0,\,-\frac{\sqrt3}{3},\,-\sqrt{\frac{3\sqrt3-4}{12}}\right),$$
 * $$\left(0,\,±1,\,±\frac12,\,\frac{\sqrt3}{6},\,-\sqrt{\frac{3\sqrt3-4}{12}}\right),$$
 * $$\left(±\frac{\sqrt3}{2},\,±\frac12,\,0,\,-\frac{\sqrt3}{3},\,-\sqrt{\frac{3\sqrt3-4}{12}}\right),$$
 * $$\left(±\frac{\sqrt3}{2},\,±\frac12,\,±\frac12,\,\frac{\sqrt3}{6},\,-\sqrt{\frac{3\sqrt3-4}{12}}\right).$$