Magic Squares

Nov 15, 2019 | Hinsdale

Math World describes magic sqaures as 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. 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."

In other words, it's like the ancient version of Sudoku, and they look a little something like this:

MagicSquares

And it is solved using a pattern like this, although there are many ways to try to work them all out!MagicSquareSiamese

Here are the ways the above puzzles can be solved:MagicSquareNumerology

You can try solving a magic square here!