Parallelepiped

A parallelepiped (alternately, parallelopiped, parallelepipedon or parallelopipedon) is a 3-dimensional polyhedron with six parallelograms for faces. The word is also sometimes used for the higher-dimensional analogues.

Properties

All opposite faces are parallel and since each face has point symmetry, it is a zonohedron.

The volume of a parallelepiped can be calculated most easily using the determinants, or equivalently via the scalar triple product or cross products.

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