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 Checkerboard Dissection (Posted on 2009-11-23)
A 5x5 square has a checkerboard pattern. I want to divide the square into pieces to form a 4x4 and a 3x3 square. Both smaller squares will retain the checkerboard pattern.

Find a four piece division of the 5x5 square that will accomplish this.

Find a five piece division which accomplishes the task without needing to flip or rotate any of the pieces.

 Submitted by Brian Smith No Rating Solution: (Hide) My solutions are below. Others can be found in the comments. Problem 1 ```+--+--+--+--+--+ +--+--+--+--+ +--+--+--+ |## ## |##| |## ## | |##| ##| + + + + + + + + + + + + +--+--+ | ## ##| | | ## ##| | ## | +--+ + + + + +--+ + + + + + + + |##| ## |##| |##| ## | |## ##| + +--+--+--+ | + +--+--+--+ +--+--+--+ | ## |## | | ## ##| + + + +--+--+ +--+--+--+--+ |## ##| ##| +--+--+--+--+--+ ``` Problem 2 ```+--+--+--+--+--+ +--+--+--+--+ +--+--+--+ |## ## |##| |## ## | |## ##| + + + + + + + + + + + + + + + | ## ##| | | ## ##| | ## | +--+--+--+ +--+ +--+--+--+ + + + + + |## ##| |##| |## |##| | |## ##| + + + +--+--+ + + + +--+ +--+--+--+ | ## |## | | ##| |##| + + + + + + +--+--+--+--+ |## ##| ##| +--+--+--+--+--+ ```

 Subject Author Date solutions Dej Mar 2009-11-24 01:47:37 Solutions and Explorations brianjn 2009-11-23 19:24:31 Hmmmm... -- better solution? Charlie 2009-11-23 15:55:00

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