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This puzzle is a mini game in an app I recently downloaded. In the game it is referred to as a Mobius Puzzle(after some searching I found referenced as a TwoBik Puzzle). But I cant find any other names for it or how to solve it.

How it is Played: The goal is to order the number left to right then top to bottom. You can slide each row or column in either direction moving every tile 1 space in that direction: the tile tht is pushed off the board loops to the other side of the same row or column.

See image for reference.

enter image description here

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    $\begingroup$ It seems to be called a torus puzzle. From what I'm reading, 4x4 grids are incredibly difficult for a human to solve, let alone 5x5, so I imagine this would be incredibly difficult. Theres a pdf here thats very long and complicated, but goes into great detail. Hope this helps! $\endgroup$ Jul 3, 2020 at 18:30
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    $\begingroup$ Does this answer your question? Techniques for solving row & column sliding puzzles $\endgroup$ Jul 3, 2020 at 19:25

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The simplest strategy is to

think in terms of "supermoves" (like in Freecell). Denote N/S as swiping the middle column up/down. Similarly E/W means swiping the middle row right/left. The supermove NESW should permute three numbers only. It should be easy to solve any puzzle with supermoves described above.

As an analogy, one can

solve a Rubik's cube using only elementary operations such as flipping two edges or permuting three corners etc. This algorithm always works, but don't expect to win a speed-solving competition any time soon!

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