Medjig method

 

The first grid is a 2x2 'blown up' pure 3x3 magic square. Construct the second grid using 9 Medjig tiles.

 
In a (2x2) medjig tile are all the digits from 0 up to 3, but each time in a different order. Take care that the sum of the digits in each row/column/diagonal is (6 x 1,5 =) 9.

Take 1x digit from first grid and add 9x digit from the same cell of the second grid.

 

 

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

2

2

9

9

4

4

 

2

3

0

2

0

2

 

20

29

9

27

4

22

2

2

9

9

4

4

 

1

0

3

1

3

1

 

11

2

36

18

31

13

7

7

5

5

3

3

 

3

1

1

2

2

0

 

34

16

14

23

21

3

7

7

5

5

3

3

 

0

2

0

3

3

1

 

7

25

5

32

30

12

6

6

1

1

8

8

 

3

2

2

0

0

2

 

33

24

19

1

8

26

6

6

1

1

8

8

 

0

1

3

1

1

3

 

6

15

28

10

17

35

  

 

Use this method to construct 'double odd' magic squares (= 6x6, 10x10, 14x14, 18x18, … magic square), although you can use this method to construct 'double even' magic squares (= 8x8, 12x12, 16x16, 20x20, ... magic square) as well.

 

 

Download
6x6, Medjig method.xls
Microsoft Excel werkblad 38.0 KB