The square array of the integers 1 through n2 that is generated when a method for constructing a 4 × 4 magic square is generalized was called a mystic square by Joel B. Wolowelsky and David Shakow in their article describing a method for constructing a magic square whose order is a multiple of 4.A 4 × 4 magic square can be constructed by writing out the numbers from 1 to 16 consecutively in a 4 × 4 matrix and then interchanging those numbers on the diagonals that are equidistant from the center. (Figure 1). The sum of each row, column and diagonal is 34, the “magic number” for a 4 × 4 magic square. In general, the “magic number” for an n × n magic square is n(n^2 + 1)/2.