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 |
-------------------------------
My solution. I know it's a repeat of brianjn's and Dej Mar's, but since I went to all the work of finding it, I couldn't resist posting.
-------------------------------
| 1 | 1 |
| --------- --------- |
| 4 | 3 4 | | |
| | | | |
| | 5 | | 2 |
| --------- ----- ----|
| | | 5 2 |
| --------- |
| 3 5 | 5 | |
|---- ----- --------| |
| | | 3 | |
| | | | |
| 4 | 2 | 2 | |
| --------- --------- |
| 1 | 3 4 1 |
-------------------------------
I had an interesting hypothesis which turned out to be true. Looking at the 5s near the middle, I knew they had to be divided, making part of a cross. I completed that cross and guessed that the pieces would form rotational symmetry around the center. So, I just replicated every cut that I knew I needed 3 more times around the center, and the solution quickly emerged.
No Subject
