Banach-Tarski paradox

from The Free On-line Dictionary of Computing (8 July 2008)
Banach-Tarski paradox

   <mathematics> It is possible to cut a solid ball into finitely
   many pieces (actually about half a dozen), and then put the
   pieces together again to get two solid balls, each the same
   size as the original.

   This {paradox} is a consequence of the {Axiom of Choice}.

   (1995-03-29)
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