523.00 Vertexes: Crossings

523.01 Euler showed that where we have two linesany kind of lines, crooked or not so crookedwhere the lines cross is distinctly different from where the lines do not cross. The pattern of two or more lines crossing one another is also completely distinguishable from any single line by itself. We call this crossing or convergence of lines a vertex. This is absolute pattern uniqueness.

523.02 Crossings are superimposed lines. They do not go through each other. They are just a fixwhat physicists call points.

523.03 In a structural system, the number of vertexes is always divisible by four and the number of triangle edges is always divisible by six. Edges and vertexes do not come out as the same number systems, but you can describe the world both ways and not be redundant.