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 | 
 ------------------------------- 
|   |   |   |   | 5 |   |   | 2 | 
 ------------------------------- 
| 3 |   |   | 5 | 5 |   |   |   | 
 ------------------------------- 
|   |   |   | 3 |   |   |   |   | 
 ------------------------------- 
| 4 |   | 2 | 2 |   |   |   |   | 
 ------------------------------- 
| 1 |   |   |   |   | 3 | 4 | 1 | 
 ------------------------------- 

I have come to a situation whereby I am presented with 3 possible solutions.

I am left at this point in time with 4 domino pairs. 

I can assign them both to one shape, its adjacent neighbour or share the pairs.

Only one of these options allows for the respective shapes to have a uniform 'path' width of one unit.

I like the "Old English" Capital G shape.

Posted by brianjn on 2006-08-24 23:07:42