Sections of a cube
If you cut a cube with planes perpendicular to a diagonal, you get an equiangular hexagon with the same symmetry as an equilateral triangle. Parallel cuts create sections that may be equilateral triangles and also a regular hexagon.
© matematita
The image belongs to the sections...:
From "fun with hexagons" (From "XlaTangente")
Cutting a cube (3D geometry)