Concept information
Preferred term
parallelepiped
Definition(s)
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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. In Euclidean geometry, the four concepts—parallelepiped and cube in three dimensions, parallelogram and square in two dimensions—are defined, but in the context of a more general affine geometry, in which angles are not differentiated, only parallelograms and parallelepipeds exist. 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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Parallelepiped)
Broader concept(s)
Narrower concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-TQL9Z0P3-T
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