10x10 magic square

Reflecting grids (2)

 

Use the method of Gronogo (source: http://www.grogono.com/magic/6x6.php) to construct a 10x10 magic square

 

Take 1x number

17 17 24 24 1 1 8 8 15 15
17 17 24 24 1 1 8 8 15 15
23 23 5 5 7 7 14 14 16 16
23 23 5 5 7 7 14 14 16 16
4 4 6 6 13 13 20 20 22 22
4 4 6 6 13 13 20 20 22 22
10 10 12 12 19 19 21 21 3 3
10 10 12 12 19 19 21 21 3 3
11 11 18 18 25 25 2 2 9 9
11 11 18 18 25 25 2 2 9 9

 

 

+25x number

0 1 0 1 0 1 0 1 0 1
0 1 1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1 0 1
0 1 0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0 1 0
1 0 1 0 1 0 1 0 1 0
1 0 0 1 0 1 0 1 0 1
1 0 0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0 1 0
0 1 1 0 1 0 1 0 1 0

 

 

+50x number

0 1 1 1 1 1 0 0 0 0
1 0 0 0 0 0 1 1 1 1
1 1 0 0 1 1 0 0 1 0
0 0 1 1 0 0 1 1 0 1
1 1 0 0 1 1 0 0 1 0
0 0 1 1 0 0 1 1 0 1
1 1 0 0 1 1 0 0 1 0
0 0 1 1 0 0 1 1 0 1
1 1 0 0 1 1 0 0 1 0
0 0 1 1 0 0 1 1 0 1

 

 

= 10x10 magic square

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

 

 

Use the method of reflecting grids (2) to construct magic squares of order is double odd. See 6x6, 10x10, 14x14, 18x18, 22x22, 26x26 en 30x30

 

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10x10, reflection (2).xlsx
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10x10 magic square