Triaugmented hexagonal prism

The triaugmented hexagonal prism, or tauhip, is one of the 92 Johnson solids (J57). It consists of 6+6 triangles, 3 squares, and 2 hexagons. It can be constructed by attaching square pyramids to three mutually non-adjacent square faces of the hexagonal prism.

Vertex coordinates
Coordinates for a triaugmented hexagonal prism of edge length 1 are given by:
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,±\frac12\right),$$
 * $$\left(±1,\,0,\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt6}{4},\,±\frac{\sqrt2+\sqrt3}{4},\,0\right),$$
 * $$\left(0,\,-\frac{\sqrt2+\sqrt3}{2},\,0\right).$$