Triaugmented triangular prism

The triaugmented triangular prism, or tautip, is one of the 92 Johnson solids (J51). It consists of 2+6+6 triangles as faces. It can be constructed by attaching square pyramids to all three of the square faces of the triangular prism.

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