# 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 Parallelotope 2013-03-22 17:37:35 2013-03-22 17:37:35 slider142 (78) slider142 (78) 13 slider142 (78) Definition msc 51M20 parallelogram parallelepiped Parallelogram