Square-pentagonal duoantifastegiaprism

The square-pentagonal duoantifastegiaprism or squipdafup, also known as the square-pentagonal duoantiwedge, is a convex scaliform polyteron and a member of the duoantifastegiaprism family. It consists of 2 square-pentagonal duoprisms, 8 pentagonal antifastegiums, and 10 square antifastegiums. 1 square-pentagonal duoprism, 3 pentagonal antifastegiums, and 3 square antifastegiums join at each vertex.

Vertex coordinates
The vertices of a square-pentagonal duoantifastegiaprism of edge length 1 are given by:


 * $$\left(±\frac12,\,±\frac12,\,0,\,\sqrt{\frac{5+\sqrt5}{10}},\,\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac{1+\sqrt5}{4},\,\sqrt{\frac{5-\sqrt5}{40}},\,\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,-\sqrt{\frac{5+2\sqrt5}{20}},\,\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,-\sqrt{\frac{5+\sqrt5}{10}},\,-\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,±\frac{1+\sqrt5}{4},\,-\sqrt{\frac{5-\sqrt5}{40}},\,-\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,±\frac12,\,\sqrt{\frac{5+2\sqrt5}{20}},\,-\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$
 * $$\left(0,\,±\frac{\sqrt2}{2},\,0,\,-\sqrt{\frac{5+\sqrt5}{10}},\,-\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$
 * $$\left(0,\,±\frac{\sqrt2}{2},\,±\frac{1+\sqrt5}{4},\,-\sqrt{\frac{5-\sqrt5}{40}},\,-\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$
 * $$\left(0,\,±\frac{\sqrt2}{2},\,±\frac12,\,\sqrt{\frac{5+2\sqrt5}{20}},\,-\sqrt{\frac{-5+5\sqrt2+\sqrt5}{40}}\right),$$