Gaussian co-ordinates to define the position of a point in our mesh-system, which now becomes
-dimensional. As before, we can conceive of Cartesian and Gaussian mesh-systems, the former being a generalisation to
dimensions of our network of Euclidean squares. As for the invariant mathematical expression of the square of a distance between two points, it now contains a greater number of terms. In the case of three-dimensional space we have no longer three separate
quantities at every point; this number is increased to six. In the case of a four-dimensional space it is increased to ten, and in the case of an
-dimensional space to