Basic key method (most perfect)

 

Use a simple key to construct a 8x8 most perfect (Franklin pan)magic square. Notify that the second grid is the first grid rotated by a quarter to the left.

 

 

 1x digit                               +    8x [digit -/- 1]                    =   Most perfect 8x8 magic square

1

2

8

7

3

4

6

5

   

5

4

5

4

5

4

5

4

   

33

26

40

31

35

28

38

29

8

7

1

2

6

5

3

4

   

6

3

6

3

6

3

6

3

   

48

23

41

18

46

21

43

20

1

2

8

7

3

4

6

5

   

4

5

4

5

4

5

4

5

   

25

34

32

39

27

36

30

37

8

7

1

2

6

5

3

4

   

3

6

3

6

3

6

3

6

   

24

47

17

42

22

45

19

44

1

2

8

7

3

4

6

5

   

7

2

7

2

7

2

7

2

   

49

10

56

15

51

12

54

13

8

7

1

2

6

5

3

4

   

8

1

8

1

8

1

8

1

   

64

7

57

2

62

5

59

4

1

2

8

7

3

4

6

5

   

2

7

2

7

2

7

2

7

   

9

50

16

55

11

52

14

53

8

7

1

2

6

5

3

4

   

1

8

1

8

1

8

1

8

   

8

63

1

58

6

61

3

60

 

 

You can use this method to construct magic squares which are a multiple of 4 (= 4x4, 8x8, 12x12, 16x16, ... magic square).

 

 

Download
8x8, Basic key method (most perfect).xls
Microsoft Excel werkblad 79.5 KB