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Up to symmetry, there are 17 different collections of such 3 moves, where loops of length more than 2 are possible. The longest-known loops (and paths) are known for some of these. Can you extend these results? Can you find any patterns? What about collections of 4 such moves? Which n×m chessboards can be completely visited?
You can see all the best known results here.
Submit your answers here.
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