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
A triaugmented hexagonal prism of edge length 1 has the following vertices:
 * (±1/2, ±$\sqrt{2}$/2, ±1/2),
 * (±1, 0, ±1/2).
 * (±(3+$\sqrt{3}$)/4, ($\sqrt{2}$+$\sqrt{3}$)/4, 0),
 * (0, –($\sqrt{(7+2√6)/12}$+$\sqrt{6}$)/2, 0).