Henry Ernest Dudeney/Puzzles and Curious Problems/290 - A Four-Figure Magic Square

Puzzles and Curious Problems by Henry Ernest Dudeney: $290$

A Four-Figure Magic Square

In this square, as every cell contains the same number -- $1234$ -- the three columns, three rows and two long diagonals naturally add up alike.

$\qquad \begin{array} {|c|c|c|} \hline 1234 & 1234 & 1234 \\ \hline 1234 & 1234 & 1234 \\ \hline 1234 & 1234 & 1234 \\ \hline \end{array}$

The puzzle is to form and place nine different $4$-figure numbers (using the same figures) so that they shall form a perfect magic square.

That is, the numbers all together must contain nine of each of $1$, $2$, $3$ and $4$, and they must be proper numbers without using fractions or any other trick like that.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Magic Square, Measuring, Weighing, and Packing Problems: $290$. -- A Four-Figure Magic Square
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Combinatorial & Topological Problems: Magic Square Puzzles: $390$. A Four-Figure Magic Square