¶ Topology: Synergetics & Eulerian (1)
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Index Entry
I am dealing with the Universe: the difference between conceptual thought and nonunitarily conceptual Universe. You cannot make a model of that, but you can show it as one conceptual_system which is tetrahedral… plus a convex and concave tetrahedron and that equals Universe.
Euler opened up about 150 years ago the great new field of mathematics which is topology. He discovered that all visual experiences could be treated as conceptual. (But he did not explain it in those words.)…
Topology is Euler’s saying that all visual experience can be resolved into three fundamental and irreducible aspects: vertexes, faces and lines. (or, as we say in synergetics: crossings, openings, and trajectories.) We have something we call a line, but it doesn’t have to be a straight line; it is a tracery. But to trace its course you get a fix, which is not to be confused in any way with a nodal crossing. You have a plurality of these traces and you get areas. When any traceries come back upon themselves, then we get the areas.
