Medjig method

 

The first grid is a 2x2 'blown up' pure 5x5 magic square. Construct the second grid using 25 Medjig tiles.

 
I
n a (2x2) medjig tile are all the digits from 0 up to 3, but each time in a different order. Take care that the sum of the digits in each row/column/diagonal is (10 x 1,5 =) 15.

Take 1x digit from first grid and add 25x digit from the same cell of the second grid.

 

 

 1x digit                                           + 25x digit                                =    pure magic 10x10 square

17 17 24 24 1 1 8 8 15 15     0 1 3 0 0 3 0 3 3 2     17 42 99 24 1 76 8 83 90 65
17 17 24 24 1 1 8 8 15 15     2 3 2 1 2 1 2 1 1 0     67 92 74 49 51 26 58 33 40 15
23 23 5 5 7 7 14 14 16 16     0 2 1 3 0 3 2 0 1 3     23 73 30 80 7 82 64 14 41 91
23 23 5 5 7 7 14 14 16 16     3 1 0 2 2 1 3 1 2 0     98 48 5 55 57 32 89 39 66 16
4 4 6 6 13 13 20 20 22 22     2 0 0 1 3 2 0 3 1 3     54 4 6 31 88 63 20 95 47 97
4 4 6 6 13 13 20 20 22 22     1 3 3 2 1 0 2 1 2 0     29 79 81 56 38 13 70 45 72 22
10 10 12 12 19 19 21 21 3 3     0 2 1 3 3 0 2 0 1 3     10 60 37 87 94 19 71 21 28 78
10 10 12 12 19 19 21 21 3 3     3 1 0 2 1 2 3 1 2 0     85 35 12 62 44 69 96 46 53 3
11 11 18 18 25 25 2 2 9 9     3 2 3 0 1 3 0 2 0 1     86 61 93 18 50 100 2 52 9 34
11 11 18 18 25 25 2 2 9 9     1 0 2 1 2 0 1 3 2 3     36 11 68 43 75 25 27 77 59 84

 

 

Use this method to construct 'double odd' magic squares (= 6x6, 10x10, 14x14, 18x18, … magic squares), although you can use this method to construct 'double even' magic squares (= 8x8, 12x12, 16x16, 20x20, ... magic square) as well.

 

 

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10x10, Medjig method.xls
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