parallelotope

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

View SVGparallelotope.svg

The hypercube is formed by moving the parallelepiped in a fourth direction, thus creating a 4-dimensional object bounded 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 value 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