The Patch Quilt Puzzle

 

by Sam Loyd

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The big 13x13 square shown in the illustration can be dissected into some number of square pieces (cutting along the lines only). 

The question is what is the minimum number of such squares?

Apparently, the largest possible number is 169, where all the pieces are of the same size - exactly one cell.

Another sample of solution can be one square 12x12 plus 25 small squares 1x1 - it makes 26 perfect squares. This is much more better than 169 perfect squares, but it's still more than a desired minimum...

In any case, you MUST use all 169 single squares of the 13x13 grid in your set of square pieces - no single square or their combination can be omitted. In other words your set MUST fully cover the 13x13 grid without gaps or overlapping. 

You may print out
PDF Print 'n' Play version and practice directly on it.

 

Mini-Contest 12 - The Patch Quilt Puzzle is FINISHED

Mini-Contest 12 - The Patch Quilt Puzzle is FINISHED  
It was our twelfth mini-contest. Now we'd like to propose this contest's results and some details about the puzzle and its solution. With this Mini-Contest 12 is finished.

It was our third Mini-Contest with
Puzzle Playground sector, and you, our fellow visitors, were extremely active. We thank you for this, and look forward to the next Mini-Contests. Happy Puzzling!
 
 

Contest Results

 
The winners are:
1. David Rodgers.
2. Prakash Khaitan.
 
Last Updated: January 26, 2006
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Solution
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PDF Version (58 KB)

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