magic sum

In the July 2018 issue of At Right Angles, the topic of magic triangles was explored, a ‘magic triangle’ being “an arrangements of the integers from 1 to n on the sides of a triangle with the same number of integers on each side so that the sum of integers on each side is a constant, the 'magic sum' of the triangle. There was some error in the proof and here in this article we will track down the error.

Magic Triangles and Squares are often used as a 'fun activity' in the math class, but the magic of the mathematics behind such constructs is seldom explained and often left as an esoteric mystery for students. An article that can be used by teachers in the middle school (6-8) to justify to students that everything in mathematics has a reason and a solid explanation behind it. Plus a good way to practise some simple algebra.

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.
 
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