Gyrobifastigium

The gyrobifastigium, or gybef, is one of the 92 Johnson solids. It consists fo 4 triangles and 4 squares. It can be constructed by attaching two triangular prisms, seen as digonal cupolas, at one of their square faces so that their opposite edges are perpendicular. As such, it could be considered to be a digonal gyrobicupola.

Vertex coordinates
A gyrobifastigium of edge length 1 has vertices given by the following coordinates:


 * (±1/2, 0, $\sqrt{2}$/2),
 * (±1/2, ±1/2, 0),
 * (0, ±1/2, –$\sqrt{2}$/2).