Square duoantifastegium

The square duoantifastegium or squiddaf, also known as the digonal-square duoantifastegiaprism, digonal-square duoantiwedge, is a convex scaliform polyteron and the second member of the duoantifastegium family. It consists of 4 square antifastegiums and 8 square scalenes, with 3 of each meeting at each vertex.

Vertex coordinates
A squared duoantifastegium of edge length 1 has vertex coordinates given by:


 * $$\left(±\frac12,\,0,\,±\frac{\sqrt2}{2},\,0,\,\sqrt{\frac{\sqrt2-1}{8}}\right),$$
 * $$\left(±\frac12,\,0,\,0,\,±\frac{\sqrt2}{2},\,\sqrt{\frac{\sqrt2-1}{8}}\right),$$
 * $$\left(±\frac12,\,0,\,±\frac{\sqrt2}{2},\,0,\,\sqrt{\frac{\sqrt2-1}{8}}\right),$$
 * $$\left(0,\,±\frac12,\,±\frac12,\,±\frac12,\,-\sqrt{\frac{\sqrt2-1}{8}}\right).$$