In reading the knot book there was a question regarding that 3 moves preserve tricolouration and pointing to if a knot is tricolourable and 3 equivalent to another knot then the other knot is also tricolourable. Is the reverse true as well? A knot is tricolourable therefore it is 3 equivalent to every other tricolourable knot? I think this would be easily disproved by finding a contradiction.
2026-03-26 23:11:16.1774566676
If two knots are tricolourable does this imply that they are 3 equivalent?
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