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RE: PopularScience: Topology - What is It? Balls, Bagels and Loops...
The topology of networks is especially interesting to me. The more holes it has the more resistant it is to collapse. pure stars, which are equal to spheres, are the most brittle network shape. When you take out the centre (or head) it falls into pieces.
You are talking about discrete science - graph theory. Interestingly, the graphs are often described by the surfaces on which they lie.