How to fill a magic square with side n, where n is odd? A common method to fill a magic square is explained below. To fill a  magic square, we first write the numbers 1 to 9 as shown.
 
 
1
 
 
 
4
 
2
 
7
 
5
 
3
 
8
 
6
 
 
 
9
 
 

 

Then we 'move' the numbers outside the square to their corresponding positions as shown: '1' at the top to the bottom, '3' on the right to the right, and so on.

4

9

2

3

5

7

8

1

6

Next, we consider a  square. Using similar idea as above, we first fill write the numbers 1 to 25 as shown:
 
 
 
 
1
 
 
 
 
 
 
 
6
 
2
 
 
 
 
 
11
 
7
 
3
 
 
 
16
 
12
 
8
 
4
 
21
 
17
 
13
 
9
 
5
 
22
 
18
 
14
 
10
 
 
 
23
 
19
 
15
 
 
 
 
 
24
 
20
 
 
 
 
 
 
 
25
 
 
 
 
We then again 'move' the numbers outside the square to their corresponding positions to get the finished magic square: 
11
24
7
20
3
4
12
25
8
16
17
5
13
21
9
10
18
1
14
22
23
6
19
2
15
It's your turn¡K Use this method, fill in the following  magic square. 
             
             
             
             
             
             
             

 

 

22

47

16

41

10

35

4

5

23

48

17

42

11

29

30

6

24

49

18

36

12

13

31

7

25

43

19

37

38

14

32

1

26

44

20

21

39

8

33

2

27

45

46

15

40

9

34

3

28

 

[<< Previous]
 

 

Copyright (c) 2000 Team C005972, ThinkQuest
All Rights Reserved.