The hairy ball theorem

Honestly, it's a thing.

The hairy ball theorem of algebraic topology states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres.

Huh?

This is famously stated as "you can't comb a hairy ball flat without creating a cowlick", "you can't comb the hair on a coconut", or sometimes "every cow must have at least one cowlick."

Oh, I get it. Right. Hairy ball theorem


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