### "cubic" models

Here is a representative of each of the seven types of hexahedra; the first is the cube and we get the six others from the cube with at most three cuttings.
### the canonical models

Only three of the seven types of hexahedra can be built from regular polygons (and thus with edges of same length): the cube (regular hexahedron), and the last two (the pentagonal pyramid and the triangular dipyramid).

Here are the canonical forms of these polyhedra; they are the representatives with the richest symmetries. It's easy to discover that only one of theses polyhedra (the first of the second raw) is chiral (without symmetry plane): it's only symmetry is a half-turn.

Two of these hexahedra are auto-dual: the chiral and the pyramid.