Pandiagonal Magic Square/Examples/Order 4

Example of Order $4$ Pandiagonal Magic Square

This is an example of an order $4$ pandiagonal magic square:

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

It is noted by inspection that:

the sum of the elements of each row is $34$

the sum of the elements in each column is $34$

the sum of the elements along each diagonal is $34$

the sum of the elements along each broken diagonal, for example $11, 7, 6, 10$, is $34$

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): magic square