parallelepipedˌpær əˌlɛl əˈpaɪ pɪd, -ˈpɪp ɪd
parallelepiped (n)
English Definitions:
parallelepiped, parallelopiped, parallelepipedon, parallelopipedon (noun)
a prism whose bases are parallelograms
parallelepiped (Noun)
Solid figure, having six faces, all parallelograms; all opposite faces being similar and parallel.
Parallelepiped
In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms. By analogy, it relates to a parallelogram just as a cube relates to a square or as a cuboid to a rectangle. In Euclidean geometry, its definition encompasses all four concepts. In this context of affine geometry, in which angles are not differentiated, its definition admits only parallelograms and parallelepipeds. Three equivalent definitions of parallelepiped are ⁕a polyhedron with six faces, 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, cube, and the rhombohedron are all specific cases of parallelepiped. "Parallelepiped" is now usually pronounced, or; traditionally it was PARR-ə-lel-EP-i-ped in accordance with its etymology in Greek παραλληλ-επίπεδον, a body "having parallel planes". Parallelepipeds are a subclass of the prismatoids.
Parallelepiped
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.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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"parallelepiped." Kamus.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.kamus.net/english/parallelepiped>.
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