The hairy ball theorem from topology states that a hairy ball can't be combed flat without creating a cowlick or a bald spot, with surprising applications in meteorology, radio transmission, and nuclear power.

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https://www.scientificamerican.com/article/maths-hairy-ball-theorem-has-surprising-implications/?utm_source=flipboard&utm_content=HariTulsidas%2Fmagazine%2FMind+and+Matter