Creating Magic Squares

For centuries, magic squares have held a fascination for young and old. Those who are challenged by magic squares are always searching for new ways to generate them. Recall that a magic square is an n × n array of numbers in which the sum of the numbers in each row, each column, and each diagonal is the same. It can be shown that a given square is “ magic” by adding the proper components but it is more exciting to create a new square and show that it is magic.