6x6 in 8x8 magic square (1)

 

See for detailed explanation, webpage pan 4x4 in 6x6

 

Take a 6x6 magic square and add 14 to all numbers to get the 6x6 inlay.

 

 

6x6 magic square                  +14 =    6x6 inlay

8

35

1

28

6

33

   

22

49

15

42

20

47

26

17

19

10

24

15

   

40

31

33

24

38

29

3

30

32

5

7

34

   

17

44

46

19

21

48

21

12

23

14

25

16

   

35

26

37

28

39

30

31

4

9

36

29

2

   

45

18

23

50

43

16

22

13

27

18

20

11

   

36

27

41

32

34

25

 

 

Use the table below to construct the 8x8 border.

 

N.B.: 1 up to 14 + 7 + 8 = 120; use all numbers from 1 up to 14 and 7 and 8 extra. Put 7 and 8 each in one sequence, both in one sequence and none in one sequence; The sum of each sequence of (14+2)/4 is 4 numbers must be 120/4 is 30.

 

 

1

2

3

4

5

6

7

8

9

10

11

12

13

14

120

 

2

 

 

 

 

7

 

9

 

 

12

 

 

30

1

 

 

 

 

 

7

8

 

 

 

 

 

14

30

 

 

3

 

 

6

 

8

 

 

 

 

13

 

30

 

 

 

4

5

 

 

 

 

10

11

 

 

 

30

 

 

The border is:

 

 

7

1

14

61

60

55

54

8

62

 

 

 

 

 

 

3

59

 

       

 

6

52

 

       

 

13

12

 

       

 

53

9

 

       

 

56

2

 

 

 

 

 

 

63

57

64

51

4

5

10

11

58

 

 

The final result is:

 

 

 6x6 in 8x8 magic square

7

1

14

61

60

55

54

8

62

22

49

15

42

20

47

3

59

40

31

33

24

38

29

6

52

17

44

46

19

21

48

13

12

35

26

37

28

39

30

53

9

45

18

23

50

43

16

56

2

36

27

41

32

34

25

63

57

64

51

4

5

10

11

58

 

 

Use this method to construct inlaid magic squares of even order. See 6x68x810x1012x1214x1416x1618x1820x2022x2224x2426x2628x2830x30 & 32x32

 

Download
8x8, 6x6 in 8x8.xlsx
Microsoft Excel werkblad 15.3 KB