[1] : The Free On-line Dictionary of Computing (27 SEP 03)

hairy ball
     
         a result in topology stating that a continuous
        vector field on a sphere is always zero somewhere.  the name
        comes from the fact that you can't flatten all the hair on a
        hairy ball, like a tennis ball, there will always be a tuft
        somewhere where the tangential projection of the hair is
        zero.  an immediate corollary to this theorem is that for any
        continuous map f of the sphere into itself there is a point
        x such that fx=x or fx is the antipode of x.  another
        corollary is that at any moment somewhere on the earth there
        is no wind.
     
        2002-01-07
     
     
see also:
topology vector field continuous map antipode 

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