A three-dimensional space can be divided into octants, where each of x, y and z can be positive or negative. Now, if we take the we calculated above, we can easily classify each of the as belonging to one of the eight possible octants. By considering which of these octants dominate, we can get an effective measure of the general flow of a sign.
Figure 5.5: Two examples of vectors and the octants they fall into -- one in octant and the other in octant .
In figure 5.5 we can see two examples of such vectors.
In addition, we make sure that the length of the sign has no impact, by ensuring the sum of all ``octant counts'' is normalised to 1.