Magic Squares
An n x n square grid (where n is the number of cells on each side) filled with distinct positive integers in the range 1, 2,..., n^2 such that each cell contains a different integer and the sum of the integers in each row, column and diagonal is equal.
Magic squares have been seen throughout history and have evolved from its early beginnings of plain number 3X3's. We have advanced to geometric and 3-dimensional squares that have taken the idea a step further.
Magic squares have been seen throughout history and have evolved from its early beginnings of plain number 3X3's. We have advanced to geometric and 3-dimensional squares that have taken the idea a step further.
Magic squares have also been taken to a new level with the extension of adding in squares to create 4X4's, 5X5's, etc.
This 4X4 magic square was created by Srinivasa Ramanujan using his birthday 22/12/1887. As seen, additional properties apply to 4X4's that extend farther than just the rows, columns, and diagonals adding to the same number. In the case of this square, we can see that the numbers with the same color backgrounds will always add to the magic constant 139.
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