Monday, October 1, 2007
Banach-Tarski Theorem(interesting to know)
This must be one of the strangest theorems ever proved. In 1924 Banach and Tarski showed that you could cut up a solid sphere into six pieces and then reassemble them into two solid spheres of exactly the same size. In fact, the sphere could be cut and reassembled into any shape or size object whatsoever. However, the shape of the pieces stretch your understanding of volume and area
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