Chess Quote of the Day!

Saturday, January 23, 2010

Have you heard about the chessboard 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 for Answer:

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