Parallelepiped

Parallelepiped
Type	Prism Plesiohedron
Faces	6 parallelograms
Edges	12
Vertices	8
Symmetry group	Ci, [2+,2+], (×), order 2
Properties	convex, zonohedron

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.^[a]

Three equivalent definitions of parallelepiped are

• a hexahedron with three pairs of parallel faces,
• a polyhedron with six faces (hexahedron), each of which is a parallelogram, 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 /ˌpærəˌlɛlɪˈpɪpɪd/ or /ˌpærəˌlɛlɪˈpaɪpɪd/;^[1] traditionally it was /ˌpærəlɛlˈɛpɪpɛd/ PARR-ə-lel-EP-ih-ped^[2] despite its etymology in Greek παραλληλεπίπεδον parallelepipedon, a body "having parallel planes".

Parallelepipeds are a subclass of the prismatoids.

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