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The Hairy-Ball Theorem Those are a few of the concepts and objects studied by topology: now we'll look at a theorem. If you look at the way the hairs lie on a dog, you will find that they have a 'parting' down the dog's back, and another along the stomach. Now topologically a dog is a sphere (assuming it keeps its mouth shut and neglecting internal organs) because all we have to do is shrink its legs and fatten it up a bit (Figure 90). Figure 90 Onemight wonder whetheritis possible to combthe hairs in such a way that all partings were eliminated. This would give a smooth

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Hairy Dog Theorem


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Uploaded Oct 14, 2020 at 07:05PM EDT

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Science Diagrams That Look Like Shitposts

Source

Ian Stewart, Concepts of Modern Mathematics, page 156

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math, topology, dog, hairy ball theorem

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