Saturday 23 May 2009

WORKD UP WTH WRKUPS

////////////// Banach-Tarski paradox, it's possible to divide a sphere into five "pieces" (subsets), then reassemble them into a sphere with twice the volume using only rotations and translations. (The catch is that the "pieces" are "non-measurable sets" - they're constructed in such a way that they literally don't have a volume that can be calculated.

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