MATHEMATICS

Jumat, 08 April 2011

Decomposition of the magic square on Drurer's Melancholia

Durer's Melancholia

Durer's Melancholia is world famous for its magic square on the top right wall.

16 3 2 13
5 10 11 8
9 6 7 12
4 15 14 1

It is a real magic square because it contains the integers 1,2, ..., 16 on 4x4 places. The constant of this magic square is 34. I have been thinking if there are any 'beautiful' ways in decomposing it into two or more (magical) squares. Best I have come up sofar are two squares with constant number 17.

1 3 1 12
3 10 0 4
9 1 6 1
4 3 10 0

15 0 1 1
2 0 11 4
0 5 1 11
0 12 4 1

Add them and the result is Drurer's magic square.

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