Reflecting grids (1)
Construct a 10x10 magic square with a row grid and a column grid, which is a reflection of the row grid.
1x number 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 number 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 numbers from 1 up to 100 are in the magic square.
Use this method to construct double odd (= 6x6, 10x10, 14x14, 18x18, ...) magic squares.
