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I assume that the name was a nod to the original game, my bad.

I looked a bit for similar puzzles, and it seems this class of puzzles has a better name: A “Toroidal Sliding Block Puzzle”[1]

[1]: https://puzzlingiphone.wordpress.com/2008/11/22/toroidal-sli...




Toroidal Sliding Puzzle => chefkiss emoji




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