parallelotope
Noun
Meaning
parallelotope (plural parallelotopes)
(geometry) A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality.
Examples
The same arguments are also valid for a general parallelotope, except the isometry between the simplexes.
It could be any shape, although the volume equals that of the parallelotope.
Similarly, the volume of any n- simplex that shares n converging edges of a parallelotope has a volume equal to one 1/ n! of the volume of that parallelotope.
Specifically in n-dimensional space it is called n-dimensional parallelotope, or simply n-parallelotope.