Method of Strachey

 

First grid is a 2x2 carpet of a 3x3 magic square. Second grid is fixed. Take 1x digit from first grid and add 9x digit from the same cell of the second grid.

 

 

 1x digit                            +      9x digit                           =     magic 6x6 square

2

9

4

2

9

4

   

0

0

3

2

2

2

   

2

9

31

20

27

22

7

5

3

7

5

3

   

0

3

0

2

2

2

   

7

32

3

25

23

21

6

1

8

6

1

8

   

0

0

3

2

2

2

   

6

1

35

24

19

26

2

9

4

2

9

4

   

3

3

0

1

1

1

   

29

36

4

11

18

13

7

5

3

7

5

3

   

3

0

3

1

1

1

   

34

5

30

16

14

12

6

1

8

6

1

8

   

3

3

0

1

1

1

   

33

28

8

15

10

17

 

 

 Alternative is:

 

 

1x digit                                     +       9x digit                                     =       Swap digits

2 9 4 2 9 4     0 0 0 2 2 2     2 9 4 20 27 22
7 5 3 7 5 3     0 0 0 2 2 2     7 5 3 25 23 21
6 1 8 6 1 8     0 0 0 2 2 2     6 1 8 24 19 26
2 9 4 2 9 4     3 3 3 1 1 1     29 36 31 11 18 13
7 5 3 7 5 3     3 3 3 1 1 1     34 32 30 16 14 12
6 1 8 6 1 8     3 3 3 1 1 1     33 28 35 15 10 17

 

 

magic 6x6 square

29 9 4 20 27 22
7 32 3 25 23 21
33 1 8 24 19 26
2 36 31 11 18 13
34 5 30 16 14 12
6 28 35 15 10 17

 

 

Download
6x6, Method of Strachey.xls
Microsoft Excel werkblad 43.5 KB