## 3x3 Magic Square

#### Problem

A $3 \times 3$ magic square is a square grid containing the numbers 1 to 9 in such a way that the sum of each row, column, and diagonal has the same "magic total".

By considering rotations and reflections to be equivalent, prove that this $3 \times 3$ magic square is the only solution.

Problem ID: 366 (15 Nov 2009) Difficulty: 2 Star