I have worked on a number system, that works, in order to label points of a perimeter and be connected to produce vertical symmetry, mostly.
I find more relevance in using an odd number of points, dispersed evenly around a geometric perimeter. I gravitate to the results in triangle perimeters, since it is applicable to create other shapes with its multiplication. i.e. Four triangles equals a square, five a pentagon, and six triangles making up a hexagon, and so fourth.
In compounding triangles into grids that use the symmetric numbering system, there is formation of wave patterns and very interesting results. I am not, but an enthusiast for math. I have no cridentials, but my number system works. I can elaborate on the subject if there is relevance in the use and discovery of what I do.