Sudoku method 2

 

The first grid consists of 2x2 the same 4x4 Sudoku. In the second grid you find in each 4x4 quadrant 4 different digits out of 0 up to 15. Each 4x4 quadrant is a proportional 4x4 panmagic square and the combined quadrants are fully 2x2 compact.

 

 

Take 1x digit from first grid +1

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

 

 

+ 4x digit from second grid

15 3 12 0 14 2 13 1
0 12 3 15 1 13 2 14
3 15 0 12 2 14 1 13
12 0 15 3 13 1 14 2
11 7 8 4 10 6 9 5
4 8 7 11 5 9 6 10
7 11 4 8 6 10 5 9
8 4 11 7 9 5 10 6

 

 

= Most perfect 8x8 magic square

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

 

 

Use this method to construct most perfect (Franklin pan)magic squares which are a multiple of 4 from 8x8 to infinite (= 8x8, 12x12, 16x16, 20x20, ... magic square).

 

 

Download
8x8, Sudoku method (2).xls
Microsoft Excel werkblad 67.0 KB