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.
Dudeney-Puzzles-and-Curious-Problems-245.png
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
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