Magic Square/Examples/Order 4

Examples of Order $4$ Magic Squares

There are many order $4$ magic squares.

Dürer's Order $4$ Magic Square

This is one of the more famous ones, due to Albrecht Dürer:

$\begin{array}{|c|c|c|c|}

\hline 16 & 3 & 2 & 13 \\ \hline 5 & 10 & 11 & 8 \\ \hline 9 & 6 & 7 & 12 \\ \hline 4 & 15 & 14 & 1 \\ \hline \end{array}$

Moessner's Order $4$ Magic Square

This one, created by Alfred Moessner, has extra interesting properties:

$\begin{array}{|c|c|c|c|}

\hline 12 & 13 & 1 & 8 \\ \hline 6 & 3 & 15 & 10 \\ \hline 7 & 2 & 14 & 11 \\ \hline 9 & 16 & 4 & 5 \\ \hline \end{array}$

Also see

• Magic Constant of Order 4 Magic Square
• Number of Magic Squares of Order 4