They would fit together perfectly, but they can never be joined.
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only if one of them manages to flip in the third dimension, which shouldn’t be possible in a two dimensional world. everything else will be able to be solved by translations and rotations (assuming there is enough room to move around)edit: oh, I get it now. they wouldn’t be able to snap together because the noses are thicker than the holes they need to get into. duh
Finally, some good shower thoughts
Do 4D beings have 3D puzzles that would have the same issue for us? 🤔
If a four dimensional world exists, and if there are intelligent beings there, I would imagine so, yes.