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.

< Previous Terms	Terms Containing Banach-Tarski paradox	Next Terms >
balun bamf Banach algebra Banach inverse mapping theorem Banach space	Axiom of Choice	banana label banana problem bandwidth bang bang on