Q:

How do you solve magic squares?

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Quick Answer

Solving magic squares is done by taking an empty square and inserting correct numbers throughout until all lines add up to the magic constant. The magic square can have both even and odd numbers. Magic squares consist of the arrangement of integers in a square such that the total value of each horizontal, diagonal and vertical row is a constant number.

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Full Answer

The popularity of magic squares is a result of the introduction of mathematics-based games, such as Sudoku. The process of solving magic squares begins with filling in squares from the right side to the left. The easiest even square is a 4 by 4 square that contains 16 boxes for the integers. The magic constant for this square is 34. Solving the square begins with the number 1 in the top left box up to the number 196, which is in the bottom right box.

The second step is rearranging all numbers in one diagonal. For the 4 by 4 square, one begins with the line starting at 1 and ending at 16. The two numbers are replaced with each other so that the entire sequence begins with 16 and ends with 1.

The last step is calculating the sum of each line. Every line must add up to 34. One must use the same method to solve other bigger squares.

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