Magic Squares

The 3 × 3 magic square above has the property that its rows, columns and diagonals all have the same sum: 15.

There is more magic to be found in the square:

• 8² + 1² + 6² = 4² + 9² + 2²
• 8² + 3² + 4² = 6² + 7² + 2²
• 8 × 1 × 6 + 3 × 5 × 7 + 4 × 9 × 2 = 8 × 3 × 4 + 1 × 5 × 9 + 6 × 7 × 2