Triangular-square duoantifastegiaprism

The triangular-square duoantifastegiaprism or tisdafup, also known as the triangular-square duoantiwedge, is a convex scaliform polyteron and a member of the duoantifastegiaprism family. It consists of 2 triangular-square duoprisms, 6 square antifastegiums, and 8 triangular antifastegiums. 1 triangular-square duoprism, 3 square antifastegiums, and 3 triangular antifastegiums join at each vertex.

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


 * $$\left(±\frac12,\,±\frac12,\,0,\,\frac{\sqrt3}{3},\,\sqrt{\frac{3\sqrt2-2}{24}}\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,-\frac{\sqrt3}{6},\,\sqrt{\frac{3\sqrt2-2}{24}}\right),$$
 * $$\left(0,\,±\frac{\sqrt2}{2},\,0,\,-\frac{\sqrt3}{3},\,-\sqrt{\frac{3\sqrt2-2}{24}}\right),$$
 * $$\left(0,\,±\frac{\sqrt2}{2},\,±\frac12,\,\frac{\sqrt3}{6},\,-\sqrt{\frac{3\sqrt2-2}{24}}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,0,\,-\frac{\sqrt3}{3},\,-\sqrt{\frac{3\sqrt2-2}{24}}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,±\frac12,\,\frac{\sqrt3}{6},\,-\sqrt{\frac{3\sqrt2-2}{24}}\right).$$