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April 21, 2020 04:20 pm GMT

Why this sliding tile puzzle arrangement is impossible

You are probably familiar with these little tile slide puzzles with 15 tiles that slide around in a 4 x 4 grid. The object is to slide the tiles around so that the tiles marked 1 through 15 are arranged in numerical order. The card that comes with the puzzle shows a number of different ways to arrange the numbers, including arranging the tiles in reverse numerical order. In this episode of Numberphile we learned why this particular arrangement is impossible.

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Original Link: https://boingboing.net/2020/04/21/why-this-sliding-tile-puzzle-a.html

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