Parabiaugmented hexagonal prism

The parabiaugmented hexagonal prism, or pabauhip, is one of the 92 Johnson solids (J55). It consists of 4+4 triangles, 4 squares, and 2 hexagons. It can be constructed by attaching square pyramids to two opposite square faces of the hexagonal prism.

Vertex coordinates
A parabiaugmented hexagonal prism of edge length 1 has the following vertices:
 * (±1/2, ±$\sqrt{2}$/2, ±1/2),
 * (±1, 0, ±1/2).
 * (0, ±($\sqrt{3}$+$\sqrt{5}$)/2, 0).