A parallelotopeMathworldPlanetmath is the covering term used to denote any element of the series of geometric objects generalizing the parallelogramMathworldPlanetmath:


View SVGparallelotope.svg

The hypercube is formed by moving the parallelepipedMathworldPlanetmath in a fourth direction, thus creating a 4-dimensional object boundedPlanetmathPlanetmath by 8 parallelepipeds (2 for each axis of freedom). The volume of an n-parallelotope can be calculated by taking the product of its lengths in each dimension or by taking the absolute valueMathworldPlanetmathPlanetmathPlanetmath of the determinant of the vectors spanning it.

Title parallelotope
Canonical name Parallelotope
Date of creation 2013-03-22 17:37:35
Last modified on 2013-03-22 17:37:35
Owner slider142 (78)
Last modified by slider142 (78)
Numerical id 13
Author slider142 (78)
Entry type Definition
Classification msc 51M20
Related topic parallelogram
Related topic parallelepiped
Related topic Parallelogram