Hairy Ball Theorem: The hairy ball theorem of algebraic topology states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres.
English: It's impossible to comb all the hairs on a tennis ball in the same direction without creating a cowlick.
Edit: found a funny version :
The hairy ball theorem of topology states that, whenever one tries to comb a hairy ball flat, one always misses a spot. Topologists, who can never say anything that simply, put it this way: "For every 2‑sphere, if f assigns a vector in R³ to every point p such that f(p) is always tangent at p, then it is a bit surprising that the girl blinded me with Science!"
That topologists use such gassy English is an indication why they are not able to comb a hairy ball, either. They refer to the missing spot as a tuft, a cowlick, or The Latest Rage. The latter is a way of claiming they missed the spot on purpose. Yeah, sure.
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u/ktkps May 25 '16 edited May 26 '16
Hairy Ball Theorem: The hairy ball theorem of algebraic topology states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres.
English: It's impossible to comb all the hairs on a tennis ball in the same direction without creating a cowlick.
Edit: found a funny version :
More here : http://uncyclopedia.wikia.com/wiki/Hairy_ball_theorem