Magic squares


A magic square is a $n \times n$ grid filled in with numbers where the sum of the rows are the same, the sum of the columns, and the sum of the main diagonals are the same. $n$ is the order of the square.

A magic square can be rotated, you can add or subtract a same number to all the numbers, and it can be flipped to produce another valid magic square.

Number of Magic Squares

Order Number of Different Magic Squares
1 1
2 0
3 1
4 880
5 275, 305, 224


The Zen of Magic Squares, Circles, and Stars by Clifford A. Pickover

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