Magic square of order five

How to create normal magic squares of odd order

One method for creating a normal magic square of odd order

An odd order magic square consists of odd number of rows and columns. In other words, a n x n magic square is of odd order when n is an odd number, i.e. n=1, 3, 5, 7 etc.

One of the methods to create a magic square of odd order is as follows.
Note: To create a magic square of even order is much more complicated!

Step 1: Draw an array with the number rows and columns that corresponds to the order you want to create, see figure below. I have used n=5 in my example.

 5 x 5 magic square

Step 2: Extend the array with supporting cells as in the figure below.

Step 3: Fill in the numbers as shown below.

How to fill in the numbers

Step 4: Move the numbers that are located outside the array, into the array in the way shown below. 

Move the numbers

Ready! The 5 x 5 magic square is created!

As expected, the magic sum is 65 (see this blog post!)

Magic square of order five

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