Triangular-pentagonal duoantifastegiaprism

The triangular-pentagonal duoantifastegiaprism or trapdafup, also known as the triangular-pentagonal duoantiwedge, is a convex scaliform polyteron and a member of the duoantifastegiaprism family. It consists of 2 triangular-pentagonal duoprisms, 6 pentagonal antifastegiums, and 10 triangular antifastegiums. 1 triangular-pentagonal duoprism, 3 pentagonal antifastegiums, and 3 triangular antifastegiums join at each vertex.

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


 * $$±\left(0,\,\frac{\sqrt3}{3},\,0,\,\sqrt{\frac{5+\sqrt5}{10}},\,\sqrt{\frac{5+3\sqrt5}{120}}\right),$$
 * $$±\left(0,\,\frac{\sqrt3}{3},\,±\frac{1+\sqrt5}{4},\,\sqrt{\frac{5-\sqrt5}{40}},\,\sqrt{\frac{5+3\sqrt5}{120}}\right),$$
 * $$±\left(0,\,\frac{\sqrt3}{3},\,±\frac12,\,-\sqrt{\frac{5+2\sqrt5}{20}},\,\sqrt{\frac{5+3\sqrt5}{120}}\right),$$
 * $$±\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,\sqrt{\frac{5+\sqrt5}{10}},\,\sqrt{\frac{5+3\sqrt5}{120}}\right),$$
 * $$±\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac{1+\sqrt5}{4},\,\sqrt{\frac{5-\sqrt5}{40}},\,\sqrt{\frac{5+3\sqrt5}{120}}\right),$$
 * $$±\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac12,\,-\sqrt{\frac{5+2\sqrt5}{20}},\,\sqrt{\frac{5+3\sqrt5}{120}}\right),$$