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:
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,±\frac12\right),$$
 * $$\left(±1,\,0,\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt6}{4},\,±\frac{\sqrt2+\sqrt3}{4},\,0\right).$$