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 Square division (Posted on 2006-08-24)
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?
``` -------------------------------
| 1 |   |   |   |   |   |   | 1 |
-------------------------------
| 4 | 3 |   |   | 4 |   |   |   |
-------------------------------
|   |   |   |   | 5 |   |   | 2 |
-------------------------------
|   |   |   |   | 5 |   |   | 2 |
-------------------------------
| 3 |   |   | 5 | 5 |   |   |   |
-------------------------------
|   |   |   | 3 |   |   |   |   |
-------------------------------
| 4 |   | 2 | 2 |   |   |   |   |
-------------------------------
| 1 |   |   |   |   | 3 | 4 | 1 |
------------------------------- ```

 No Solution Yet Submitted by Salil Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 No Subject | Comment 9 of 13 |

Three possible solutions:

-------------------------------
| x | x | x |   |   |   |   |   |
-------------------------------
| x |   |   |   |   | o | o |   |
-------------------------------
| x |   |   |   |   | o | o |   |
-------------------------------
| x | x | x |   | o | o | o | o |
-------------------------------
| x | x | x | x |   | o | o | o |
-------------------------------
|   | x | x |   |   |   |   | o |
-------------------------------
|   | x | x |   |   |   |   | o |
-------------------------------
|   |   |   |   |   | o | o | o |
-------------------------------

-------------------------------
| x | x | x |   |   |   |   |   |
-------------------------------
| x |   | x |   |   | o | o |   |
-------------------------------
| x |   |   |   |   | o |   |   |
-------------------------------
| x | x | x |   | o | o | o | o |
-------------------------------
| x | x | x | x |   | o | o | o |
-------------------------------
|   |   | x |   |   |   |   | o |
-------------------------------
|   | x | x |   |   | o |   | o |
-------------------------------
|   |   |   |   |   | o | o | o |
-------------------------------

-------------------------------
| x | x | x |   |   |   |   |   |
-------------------------------
| x |   | x | x |   | o | o |   |
-------------------------------
| x |   |   |   |   | o |   |   |
-------------------------------
| x | x | x |   | o | o |   | o |
-------------------------------
| x |   | x | x |   | o | o | o |
-------------------------------
|   |   | x |   |   |   |   | o |
-------------------------------
|   | x | x |   | o | o |   | o |
-------------------------------
|   |   |   |   |   | o | o | o |
-------------------------------

Edited on August 27, 2006, 7:07 pm
 Posted by Dej Mar on 2006-08-26 16:58:57

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