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 Description  
 Magic Square:  A square array of numbers in which the sum of the numbers in each row, column, or diagonal is always the same.

The following is an example of a magic square. Note that the sum of each row, column, and diagonal equals 15.

Magic squares can be multiplication magic squares, in which the product of the integers in each row, column, and diagonal is always the same.

 

There are also figures other than squares that are "magical." Consider the following magical hexagon. Why is it magical?

(Source: Mathematics for Elementary Teachers: A Contemporary Approach, Musser and Burger, 1994, MacMillian Publsihing Company.)