Hypersphere

Hypersphere
A hypersphere is a generalisation of the circle and sphere to higher dimensions. An X-dimensional hypersphere consists of the locus of all points equidistant from another point in X-dimensional space.

Hypercube
A hypercube is the same object as a hypersphere, except it is a generalisation of the square and cube to higher dimensions.


 * vertex count = $${2}^{n}$$
 * edge length = $${2}^{n-1}nl$$