A Conversation for The Hairy Ball Theorem

Hairy Dinner Plate

Post 1


That's basically saying that any surface will have such a pattern. smiley - huh so what's so special about the ball?
Besides, there are flat round surfaces covered in hair that dont have that problem. Sporrans do it.

Hairy Dinner Plate

Post 2


With sporrans the hair all hangs down - we're imagining it being combed against the ball. What's special about the ball (or sphere, mathematically) is that it doesn't have holes in, like a doughnut (torus), or edges, like a disc or a cylinder.

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Hairy Dinner Plate

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