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Theorem of the Week: Hairy Ball Theorem


This is a fun theoerm to read up. What does the Hairy Ball Theorem state and give one application of this theorem.
 

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Login to find out (August 17, 2005 at 5:34pm)
najam..and i thought i was a total cornball .. lmao .. this was cute though lol
 
Login to find out (August 16, 2005 at 5:44pm)
No, but it was full of wind, lol!
 
Login to find out (August 7, 2005 at 4:36pm)
You got it Huma1458!

It was a pretty hairy question wasn't it? :P
 
Login to find out (August 7, 2005 at 3:44pm)
It states that given a ball with hairs all over it, it is impossible to comb the hairs continuously and have all the hairs lay flat. Some hair must be sticking straight up!

The Earth is approximately a ball, and at each point on the surface, wind has a direction. It follows from the theorem that there is always a place where the air is perfectly still.