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# The Pea and the Sun: A Mathematical Paradox

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Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner,
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Hardcover, 232 pages

Published
April 29th 2005
by A K PETERS
(first published April 2005)

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The general idea of Banach-Tarski Theorem is that you can make an infinite number of infinities out of just one infinity. So you can split the "mother" infinity in to several infinities of the same size as the mother infinity. Or, in other words, you can rearrange the points of a small object (as small as a pea) to get a bigger object (as ...more

Mar 30, 2008
Dan
rated it
really liked it

Recommends it for:
People with an undergrad degree in mathematics

This book is about the Banach-Tarski Theorem. This was a Mathematical result from the twenties that said there is a way to take apart a solid ball in a finite number of pieces and then twist and turn around the pieces, and then reassemble them into two balls of the same mass and volume. This is all mathematically speaking, of course, so it doesn't mean you can do it in real life.

The proof is presented well, and it provides a lot of background. It is not rigorous, but I definitely now how to do ...more

The proof is presented well, and it provides a lot of background. It is not rigorous, but I definitely now how to do ...more

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