Let me show another method for formation of a 3/3 cells magic square.I would have liked to show the procedure with a diagram where one can easily understand but it is difficult for me to show diagrams now. The method is being shown specifically for the reason that the same can be adopted for forming a 5/5 or 7/7 magic squares
You first write down the digits 1,2, 3 in the first row followed with digits 4 ,5,6 in the second row and digits 7,8,9 in the third row..
Next you draw parallel lines in a diamond like formation,where you will get a square with 3/3 cells with the digit 2 in the top single cell, and the digit 8 in the bottom single cell.Just below the top single cell there will appear two empty cells and just above the bottom single cell there will similarly appear 2 empty cells.In between these two you will have 3 cells with the digits 4,5 and 6.The digits 1,3,9 and 7 will appear outside the grid of 3/3 cells.It will then be necessary to transfer these 4 digits into the 4 empty cells inside.The transfers have to be made in the diametrically opposite direction.After this the digits 9 and 7 will come in the two cells below the top cell containing digit 2 and the digits 3and 1 will come in the 2 cells just above the bottom cell containing the digit 8.
With this you will get the final 3/3 magic square,though in a diamond like formation..
I have shown a diagram here- to make it easy for readers to understand the steps...
You first write down the digits 1,2, 3 in the first row followed with digits 4 ,5,6 in the second row and digits 7,8,9 in the third row..
Next you draw parallel lines in a diamond like formation,where you will get a square with 3/3 cells with the digit 2 in the top single cell, and the digit 8 in the bottom single cell.Just below the top single cell there will appear two empty cells and just above the bottom single cell there will similarly appear 2 empty cells.In between these two you will have 3 cells with the digits 4,5 and 6.The digits 1,3,9 and 7 will appear outside the grid of 3/3 cells.It will then be necessary to transfer these 4 digits into the 4 empty cells inside.The transfers have to be made in the diametrically opposite direction.After this the digits 9 and 7 will come in the two cells below the top cell containing digit 2 and the digits 3and 1 will come in the 2 cells just above the bottom cell containing the digit 8.
With this you will get the final 3/3 magic square,though in a diamond like formation..
I have shown a diagram here- to make it easy for readers to understand the steps...
Very nicely explained and great diagram. I found the 5/5 magic square using your method.
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