Augmented triangular prism

The augmented triangular prism, or autip, is one of the 92 Johnson solids (J49). It consists of 2+2+2 triangles and 2 squares. It can be constructed by attaching a square pyramid to one of the square faces of the triangular prism.

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