>>11068833Similarly to how the "norm" works in 1,2, and 3 dimensions, the norm or Euclidean norm for length is: where is the ith coordinate, of any Euclidean space of dimension n.
The n-sphere satisfies a constant L2 length for all points on the manifold embedded in the space of dimension n+1. The manifold of the sphere is dimension n in this case, hence the name n-sphere.
