### Sudoku method3

Use 2x2 the same 4x4 panmagic square and 2x2 a 4x4 Sudoku grid (the original 4x4 Sudoku grid and the 3 versions of the 4x4 sudoku grid in which the quarters are vertically, horizontally respectively diagonally swapped).

Take 1x number

 1 8 13 12 1 8 13 12 15 10 3 6 15 10 3 6 4 5 16 9 4 5 16 9 14 11 2 7 14 11 2 7 1 8 13 12 1 8 13 12 15 10 3 6 15 10 3 6 4 5 16 9 4 5 16 9 14 11 2 7 14 11 2 7

+ 4x number

 0 1 2 3 2 3 0 1 3 2 1 0 1 0 3 2 1 0 3 2 3 2 1 0 2 3 0 1 0 1 2 3 1 0 3 2 3 2 1 0 2 3 0 1 0 1 2 3 0 1 2 3 2 3 0 1 3 2 1 0 1 0 3 2

= 8x8 Franklin panmagic square

 1 24 45 60 33 56 13 28 63 42 19 6 31 10 51 38 20 5 64 41 52 37 32 9 46 59 2 23 14 27 34 55 17 8 61 44 49 40 29 12 47 58 3 22 15 26 35 54 4 21 48 57 36 53 16 25 62 43 18 7 30 11 50 39

The 4x4 Sudoku grid is a duplicater. In total there are 32 different duplicaters:

 1 0 3 1 2 2 3 1 2 0 3 1 2 0 3 4 2 0 3 1 3 0 2 1 0 2 1 3 2 1 3 0 1 3 0 2 2 1 3 0 1 3 0 2 3 0 2 1 0 2 1 3 1 2 0 3 2 0 3 1 0 3 1 2 3 1 2 0 5 3 0 2 1 6 0 2 1 3 7 2 1 3 0 8 1 3 0 2 2 1 3 0 1 3 0 2 3 0 2 1 0 2 1 3 1 2 0 3 2 0 3 1 0 3 1 2 3 1 2 0 0 3 1 2 3 1 2 0 1 2 0 3 2 0 3 1 9 2 1 3 0 10 1 3 0 2 11 3 0 2 1 12 0 2 1 3 1 2 0 3 2 0 3 1 0 3 1 2 3 1 2 0 0 3 1 2 3 1 2 0 1 2 0 3 2 0 3 1 3 0 2 1 0 2 1 3 2 1 3 0 1 3 0 2 13 1 2 0 3 14 2 0 3 1 15 0 3 1 2 16 3 1 2 0 0 3 1 2 3 1 2 0 1 2 0 3 2 0 3 1 3 0 2 1 0 2 1 3 2 1 3 0 1 3 0 2 2 1 3 0 1 3 0 2 3 0 2 1 0 2 1 3 17 2 1 0 3 18 1 0 3 2 19 0 3 2 1 20 3 2 1 0 0 3 2 1 3 2 1 0 2 1 0 3 1 0 3 2 3 0 1 2 0 1 2 3 1 2 3 0 2 3 0 1 1 2 3 0 2 3 0 1 3 0 1 2 0 1 2 3 21 0 3 2 1 22 3 2 1 0 23 2 1 0 3 24 1 0 3 2 3 0 1 2 0 1 2 3 1 2 3 0 2 3 0 1 1 2 3 0 2 3 0 1 3 0 1 2 0 1 2 3 2 1 0 3 1 0 3 2 0 3 2 1 3 2 1 0 25 3 0 1 2 26 0 1 2 3 27 1 2 3 0 28 2 3 0 1 1 2 3 0 2 3 0 1 3 0 1 2 0 1 2 3 2 1 0 3 1 0 3 2 0 3 2 1 3 2 1 0 0 3 2 1 3 2 1 0 2 1 0 3 1 0 3 2 29 1 2 3 0 30 2 3 0 1 31 3 0 1 2 32 0 1 2 3 2 1 0 3 1 0 3 2 0 3 2 1 3 2 1 0 0 3 2 1 3 2 1 0 2 1 0 3 1 0 3 2 3 0 1 2 0 1 2 3 1 2 3 0 2 3 0 1

It is possible to duplicate the 8x8 magic square again and again to a 16x16, 32x32, 64x64, 128x128, ... magic square.

8x8, Sudoku method (3).xls
Microsoft Excel werkblad 94.5 KB