Magic Squares Magic square puzzles were known in ancient India and China. The artist, Albrecht Durer, carved an engraving called Melancolia. In the upper right hand corner of the engraving appears a famous magic square. Magic squares are puzzles. Consecutive number (i.e. 1, 2, 3… or 7, 8, 9… or 251, 252, 253… ) are arranged so that the sum of the numbers in each row, column and main diagonal is always the same. Durer's square has a sum of 34: Can you complete this Magic Square? Use the consecutive numbers 1 through 9. Every row, column, and main diagonal should have a sum of 15. 6 3 9 You can also make Magic Squares using the product of the numbers in each row, column, and main diagonal. In the following square use the divisors of 225 in the square, {1, 3, 5, 9, 15, 25, 45, 75, 225}, so that the product of the number in each row, column, and main diagonal is always 3375. 75 9 3