Metabiaugmented hexagonal prism

The metabiaugmented hexagonal prism, or mabauhip, is one of the 92 Johnson solids (J56). It consists of 2+2+4 triangles, 1+1+2 squares, and 2 hexagons. It can be constructed by attaching square pyramids to two non-opposite, non-adjacent square faces of the hexagonal prism.

Vertex coordinates
A metabiaugmented 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, ($\sqrt{5}$+$\sqrt{2}$)/4, 0).