Here is a 8X8 square containing numbers 1 to 5 repeated four times. Can you divide the square into four similar shaped pieces such that each piece contains only one set of five numbers?

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| 1 |   |   |   |   |   |   | 1 | 
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| 4 | 3 |   |   | 4 |   |   |   | 
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|   |   |   |   | 5 |   |   | 2 | 
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|   |   |   |   | 5 |   |   | 2 | 
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| 3 |   |   | 5 | 5 |   |   |   | 
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|   |   |   | 3 |   |   |   |   | 
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| 4 |   | 2 | 2 |   |   |   |   | 
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| 1 |   |   |   |   | 3 | 4 | 1 | 
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Has everyone given up. Solutions should be possible unit block shapes in block types similar to one in the problem.

Posted by Salil on 2006-08-26 01:12:39