A knotted loop of string has essentially the same kind of `knottiness',
however it is pulled, twisted or crumpled. This means that all
the above diagrams really show the
**same knot**. The final picture is just the unknot in disguise!

## The Reidermeister Moves

This illustrates a very important feature of mathematics: we reduce
a complicated process to a sequence of simple steps.

**© Mathematics and Knots, U.C.N.W.,Bangor, 1996 - 2002**

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