Henry Ernest Dudeney/Puzzles and Curious Problems/245 - Magic Fifteen Puzzle
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Puzzles and Curious Problems by Henry Ernest Dudeney: $245$
- Magic Fifteen Puzzle
- This is Loyd's famous $14$-$15$ puzzle,
- in which you were asked to get the $14$ and $15$ in their proper order by sliding them about in the box.
- It was, of course, impossible of solution.
- I now propose to slide them about until they shall form a perfect magic square
- in which the four columns, four rows and two diagonals all add up to $30$.
- It will be found convenient to use numbered counters in place of the blocks.
- What are your fewest possible moves?
Click here for solution
This article is complete as far as it goes, but it could do with expansion. In particular: Add the variant as pointed out by Martin Gardner in which the $14$ and $15$ start in their correct places You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding this information. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Expand}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Moving Counter Problems: $245$. -- Magic Fifteen Puzzle
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Moving Counter Puzzles: $371$. Magic Fifteen Puzzle