Gnomon and Dürer Magic Squares


A gnomon magic square is a 4x4 magic square where besides the rows, columns and diagonals adding up to the magic constant (34), the four corner groups or quadrants add up to it as well. Dürer’s magic square is part of an engraving named Melancholia I made by Albrecht Dürer in 1514. The fascinating thing about this magic square is that on the bottom row, the middle two numbers are 15 and 14, indicating the date of the engraving. In addition to it being a gnomon 4x4 magic square, its center square also sums to 34 and it is an associative magic square.