How to produce 6x6 magic squares?
Panmagic (or extra magic) 6x6 squares do not exist. The structure of 6x6 squares is irregular. To produce
pure 6x6 squares, you need to puzzle. The fastest (and funniest) method is the medjig method of
Willem Barink (source: Wikipedia, Dutch language version).
Take as 1st square a pure magic 3x3 square, but ‘blow it up’ by presenting the digits 2x2. Produce a 2nd
square existing of 9 (2x2) medjig tiles.
Note that an 2x2 medjig tile consists of all the digits 0, 1, 2 en 3, but not always in the same sequence;
you must choose the tiles, taking care that the sum of the digits of each row/column/diagonal is (6 x
1,5 =) 9. Take (1x) a digit from the 1st square and add 9x a digit from the same cell of the 2nd square.
1x digit + 9x digit = pure magic 6x6 square
|
2
|
2
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9
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9
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4
|
4
|
|
2
|
3
|
0
|
2
|
0
|
2
|
|
20
|
29
|
9
|
27
|
4
|
22
|
|
2
|
2
|
9
|
9
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4
|
4
|
|
1
|
0
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3
|
1
|
3
|
1
|
|
11
|
2
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36
|
18
|
31
|
13
|
|
7
|
7
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5
|
5
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3
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3
|
|
3
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1
|
1
|
2
|
2
|
0
|
|
34
|
16
|
14
|
23
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21
|
3
|
|
7
|
7
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5
|
5
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3
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3
|
|
0
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2
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0
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3
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3
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1
|
|
7
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25
|
5
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32
|
30
|
12
|
|
6
|
6
|
1
|
1
|
8
|
8
|
|
3
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2
|
2
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0
|
0
|
2
|
|
33
|
24
|
19
|
1
|
8
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26
|
|
6
|
6
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1
|
1
|
8
|
8
|
|
0
|
1
|
3
|
1
|
1
|
3
|
|
6
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15
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28
|
10
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17
|
35
|
You can use this method to produce even squares that are no multiples of 4 (= 6x6, 10x10,
14x14, 18x18, …). For example to produce a 10x10 square use as 1st square a pure (pan)
magic 5x5 square, use a 2nd square existing of 25 (2x2) medjig tiles, taking care that the
sum of the digits of each row/column/diagonal is (10 x 1,5 =) 15 and add 15x a digit from
the 2nd square. | 
