Theorems onmagic squares
Shailesh A. Shirali · 2015
As has been pointed out in the companion piece on the same topic elsewhere in this issue, magic squares have been a source of recreation and leisure from ancient times. There is something about the symmetry and patterns contained in such squares that carry great appeal. In this piece, we shall prove two simple results about 3 × 3 and 4 × 4 magic squares. (Such squares would also be called third-order and fourth-order magic squares respectively.) Considering the ease and elegance with which they can be proved, the results will only add further appeal to an already wonderful subject.