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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, autho
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## Get A Copy

Hardcover, 232 pages

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

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Start your review of The Pea and the Sun: A Mathematical Paradox

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

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

The paradoxical nature of the theorem lies in our wanting to infer from mathematics to the physical world. While this is valid for ...more

Feb 01, 2022
Ron Me
added it

This is a great popularization. The middle part of it is hard slogging for non-mathematicians, but it's as close as most people will ever get to understanding the Banach-Tarski Paradox.
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