Photo of two purple and natural colored infinity puzzles with no picture combined in different ways

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   Jesse Louis-Rosenberg (nervous_jesse@mathstodon.xyz)'s status on Thursday, 30-Nov-2023 07:41:27 JST Jesse Louis-Rosenberg

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   While I said the challenge puzzle has no border, it really does. The border just looks like the other pieces. So we started to ask what if a puzzle really had no border, What would that look like? Pieces from the left could connect to the right and the top to the bottom. In that way, we create a tiling puzzle, which can be assembled in thousands of different ways. We can think of this topologically like a closed surface. Mathematics teaches us that something that tiles like this has the same topology as a torus. We decided to call this an "infinity" puzzle.