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