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I can imagine an infinitely long line with a know in the middle in 3d ... I guess the interesting question is "can you have an infinite plane with a knot in the middle in 5 dimensions?6 dimensions?"

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if you selected a single point on a plane and pulled it upwards you could then knot it very similarly to a line couldn't you?

that's like tieing a knot in a loop of string, not like a granny knot ... I think the sort of knot I have in mind is a harder problem

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