Biaugmented triangular prism

The biaugmented triangular prism, or bautip, is one of the 92 Johnson solids (J50). It consists of 2+2+2+4 triangles and 1 square. It can be constructed by attaching square pyramids to two of the square faces of the triangular prism.

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