diagonally magic square | normal magic square

A magic square is a square array of positive integers such that the sum of any row, column, or main diagonal equals that of any other.

A magic square is a square array of numbers consisting of the distinct positive integers 1, 2, ..., n^2 arranged such that the sum of the n numbers in any horizontal, vertical, or main diagonal line is always the same number, known as the magic constant M_2(n) = 1/n sum_(k = 1)^(n^2) k = 1/2 n(n^2 + 1). If every number in a magic square is subtracted from n^2 + 1, another magic square is obtained called the complementary magic square. A square consisting of consecutive numbers starting with 1 is sometimes known as a "normal" magic square.

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college level