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Hi, Im Henry Segerman, and these both look like the trefoil knot: the simplest knot there is other than the unknot, which is just a circle. However, if youve read the title of this video, youll suspect that one of these is not what it seems. Well, this one isnt actually a trefoil. This strand here looks like it goes underneath and connects up with this strand over here. But in fact, it doesnt. What actually happens is that it does a hairpin turn backwards and heads off in some other direction. If this was made from a more flexible material you could take this hairpin turn and thread it back through this loop here, and the whole thing would unravel into just an unknotted loop - this is an unknot. The only way youd be able to tell that something is wrong is that the knot slopes back too quickly as it approaches this crossing, in comparison to this one here. This one isnt a trefoil either. In fact, its one big hairpin loop tied in a knot. You could untie it and open it out. And ag