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Description
In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square.
Three equivalent definitions of parallelepiped are
- a polyhedron with six faces (hexahedron), each of which is a parallelogram,
- a hexahedron with three pairs of parallel faces, and
- a prism of which the base is a parallelogram.
The rectangular cuboid (six rectangular faces), cube (six square faces), and the rhombohedron (six rhombus faces) are all specific cases of parallelepiped.
"Parallelepiped" is now usually pronounced or ; traditionally it was PARR -ə-lel-EP-ih-ped in accordance with its etymology in Greek παραλληλεπίπεδον parallelepipedon , a body "having parallel planes".
Parallelepipeds are a subclass of the prismatoids.
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