Editing Parallelepiped (section)

==Properties==
Any of the three pairs of parallel faces can be viewed as the base planes of the prism. A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length.

Parallelepipeds result from [[linear transformation]]s of a [[cube]] (for the non-degenerate cases: the bijective linear transformations).

Since each face has [[point symmetry]], a parallelepiped is a [[zonohedron]]. Also the whole parallelepiped has point symmetry {{math|''C<sub>i</sub>''}} (see also [[triclinic]]). Each face is, seen from the outside, the mirror image of the opposite face. The faces are in general [[Chirality (mathematics)|chiral]], but the parallelepiped is not.

A [[Honeycomb (geometry)|space-filling tessellation]] is possible with [[Congruence (geometry)|congruent]] copies of any parallelepiped.