It poses some interesting but seemingly simple questions for potential knot students. This page provides some excellent graphics and many references for further investigation of knots. Knots are identified by the number of cross-overs they have i.e. how many times the rope crosses over itself. See if you can work out how many cross-overs these knots have. Check your answers .
Mathematical knots are closed knots.
The knot is tied and then the ends of the rope are joined together. See if you can create these knots for yourself. I hope you have enjoyed browsing the Internet through my page and that it has given you an idea of what is out there.