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The Chess Paradox

 

Have you heard about the chess paradox? If you have, well then there's really no point reading on, but if you haven't, it is a very confusing mathematical paradox involving the chessboard.

Here's what I'm going to do: I will cut up the chessboard with three straight cuts (left). Now, I'll rearrange the pieces into a rectangle (right).

The area on the left is 8x8=64. But the area on the right is 5x13=65. What is going on?!

The trick is connected to mathematics involving the Fibonacci sequence and its related Cassini's identity. Oh, and there is a mistake somewhere, because 64 obviously does not equal 65. Click here to see the solution in ChessBase's article "A Mathematical Chessboard Paradox".

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Posted by Proabffmm on Tuesday, April 28, 2009.

 

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