¶ Topology: Synergetics & Eulerian (2)
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Index Entry
The areas, the traces, and the crossings are never to be confused with one another: all visual experiences are resolved into these three.
"You just look at any picture and you have to say: What is that part? That’s an area, or it’s a line, or it’s a crossing. … The coincidences are a little more, because they are loci. To account for the whole picture you can elect to call it an area… mark it A… a line, which is an L; and V is for a vertex, a convergence. You mark every one of them, many times. And the number of vertexes plus the number of areas will always equal the number of lines plus the number one.
“But I saw that you cannot have a plane except as a facet. Because I am experiential I must say that a line is a consequence of energy, an event… a tracery, anyway. So it must be some kind of polyhedron. If you are dealing with a polyhedron, it is separate from Universe having an inside and an outside-- a picture in a frame, or whatever it is. The number of V’s or crossings is always equal to the number of lines plus two. Or you can put a hole through it: if you do that, you find that V + F = L”
