Henry Ernest Dudeney/Puzzles and Curious Problems/282 - The Magic Hexagon

Puzzles and Curious Problems by Henry Ernest Dudeney: $282$

The Magic Hexagon

In the diagram it will be seen how the numbers from $1$ to $19$ are arranged so that all $12$ lines add up to $23$.

Six of the lines are the six sides, and the other six lines radiate from the centre.

Can you find a different arrangement that will still add up to $23$ in all the $12$ directions?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Combination and Group Problems: $282$. -- The Magic Hexagon
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Combinatorial & Topological Problems: Magic Star Puzzles: $401$. The Magic Hexagon