Reflecting grids

 

Construct a 10x10 magic square with a row grid and a column grid, which is a reflection of the row grid.

 

 

1x digit from row grid +1

0 9 9 9 9 0 0 9 0 0
1 1 8 8 8 8 8 1 1 1
7 7 2 7 2 2 7 2 7 2
6 6 6 3 3 3 3 3 6 6
5 5 5 5 4 4 4 4 4 5
4 4 4 4 5 5 5 5 5 4
3 3 3 6 6 6 6 6 3 3
2 2 7 2 7 7 2 7 2 7
8 8 1 1 1 1 1 8 8 8
9 0 0 0 0 9 9 0 9 9

 

 

+10x digit from column grid

0 1 7 6 5 4 3 2 8 9
9 1 7 6 5 4 3 2 8 0
9 8 2 6 5 4 3 7 1 0
9 8 7 3 5 4 6 2 1 0
9 8 2 3 4 5 6 7 1 0
0 8 2 3 4 5 6 7 1 9
0 8 7 3 4 5 6 2 1 9
9 1 2 3 4 5 6 7 8 0
0 1 7 6 4 5 3 2 8 9
0 1 2 6 5 4 3 7 8 9

 

 

= 10x10 magic square

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

 

 

Take care that all the digits from 1 up to 100 are in the magic square.

 

Use this method to construct double odd (= 6x6, 10x10, 14x14, 18x18, ...) magic squares.

 

 

Download
10x10, reflection.xls
Microsoft Excel werkblad 43.5 KB