Although the introduction of a width \(N_{D}\) apparently solves the problem, it is equally clear what the drawbacks are. Without classical Euclidean geometry in the background, there is really no way to get the construction going. There is no definition of a line in terms of the discrete geometry itself, and, above all, the projected width on the \(x\)-axis of a line \(L\) is calculated according to a Euclidean distance function that is not explicitly mentioned. In short, there is a mixture of two distance functions.