Magic square
Square of numbers with equal row, column and diagonal totals
Magic square
In mathematics, especially historical and recreational mathematics, a magic square is a square array of numbers, usually positive integers, where the sums of the numbers in each row, each column, and both main diagonals are the same. The order of a magic square is the number of integers along one side (n), and the constant sum is called the magic constant or magic sum. If the array includes just the positive integers 1 , 2 , . . . , n 2 {\displaystyle 1,2,...,n^{2}} , the magic square is said to be normal. Many authors take magic square to mean normal magic square. Magic squares that include repeated entries do not fall under this definition and are referred to as trivial. Some well-known examples, including the Sagrada Família magic square are trivial in this sense. When all the rows and columns but not both diagonals sum to the...
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