MAGIC SQUARE:
In a magic square 3x3, if we take numbers from 1 to 9 then the magic sum equal to 15. The magic square is as follows:
4
|
9
|
2
|
3
|
5
|
7
|
8
|
1
|
6
|
In the above magic square 3x3 magic sum is 15. In the above magic square 3x3 we are used numbers from1 to 9 arranged in 9 boxes. In any direction the sum equal to 15.
Row wise 4+9+2=15, 3+5+7=15, 8+1+6=15.
Column wise 4+3+8=15, 9+5+1=15, 2+7+6=15.
Diagnol wise: 4+5+6=15, 2+5+8=15.
The above magic square also can be written as follows:
5-1
|
5+4
|
5-3
|
5-2
|
5
|
5+2
|
5+3
|
5-4
|
5+1
|
In the above figure , shows the relation between middle number and other numbers. In the magic square we are taken numbers from 1 to 9 and number 5 is between 1 to 9.
If we write x in place of 5 in above magic square.
X-1
|
X+4
|
X-3
|
X-2
|
X
|
X+2
|
X+3
|
X-4
|
X+1
|
Now we will write different magic square’s with different magic sum’s
2.MAGIC SUM=18. NUMBERS: 2,3,4,5,6,7,8,9,10 10. MIDDLE NUMBER: 6
6-1
|
6+4
|
6-3
|
6-2
|
6
|
6+2
|
6+3
|
6-4
|
6+1
|
Result of above magic square:
5
|
10
|
3
|
4
|
6
|
8
|
9
|
2
|
7
|
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