The mathematical study of Knots. Knot theory considers questions such as the following:

- 1. Given a tangled loop of string, is it really knotted or can it, with enough ingenuity and/or luck, be untangled without having to cut it?
- 2. More generally, given two tangled loops of string, when are they deformable into each other?
- 3. Is there an effective algorithm (or any algorithm to speak of) to make these determinations?

© 1996-9

1999-05-26