Question

A Magic Square is a square with a special arrangement of numbers such that the numbers in each row, each column and the diagonals adds up to the same number. For example:

A3x3 Magic Square of numbers 1 to 9, can be arranged as following.

276

95

15

115

4 3 8 15

15

15

15

15

15

Now, look at the arrangement of the numbers carefully.

If you arrange the given numbers in an ascending order, you get

1, 2, 3, 4, 5, 6, 7, 8, 9 where 5 is the number that lies exactly in the middle.

In the above magic square notice that 5 is right in the middle of the square.

Let us now look at the diagonals 2,5,8

5-2-3; 8-5-3 Similarly, the other diagonal: 6, 5,4

6-5=1; 5-4-1

And, the second row

9-5-4; 5-1-4

Do you see a pattern?

Also, the sum in each case is 15, which is called the Magic Constant. And in this case it is 5x3= 15 But why is it called a Magic Square?

It seems that since ancient times, squares have been connected to the supernatural and the magical

world.​

Answer 1

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