How Do You Make Trillions Of 16X16 Magic Squares?

€¢ Make a 4x4 magic square, which will have numbers from 1 to 16, and a total of 34 for all its rows, columns and main 2 diagonals. If not make the square with the help of square given to the right. €¢ Here A, B, C, D, have to take one of the numbers 1, 2, 3, 4 and a, b, c, d, have to take numbers from 0, 4, 8, 12.

It can be vice- versa also. This ensures that we have all numbers from 1 to 16 and total is 34. €¢ Stretch the 4x4 magic square into a 16x16 magic square using 16 copies of each multiple of 16 as shown.

€¢ Add any 4x4 magic square to each grid in the previous step. It doesn't matter if you use the same 4x4 magic square for each piece of the grid or not. Now that we have a 4x4 square to form the 16x16 square all we need to do is - in place of 1 insert a 4x4 square with numbers from 1 to 16, in place of 2 insert a 4x4 square with numbers from 17 to 32, in place of 3 insert a 4x4 square with numbers from 33 to 48, and so on ...... in place of 15 insert a 4x4 square with numbers ... more.

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