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.

Last updated: 1995-03-29

Nearby terms:

Banach spaceBanach-Tarski paradoxbanana labelbanana phenomenon

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