Knotting Special!
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Knotting Special! The investigation of knots began as a response to Lord Kelvin's belief that atoms were knots in the aether, and that chemical properties of the atoms were related to the type of knot. In 1877, P.G. Tait began an attempt at enumerating the knots, and it took him (and work by C.N. Little) 23 years to enumerate the knots up to ten crossings. (Livingston, 1993, p1-2) The focus then, is to create a list of all the knots, and to include each knot only once. A knot may appear to be completely different to another, but in fact may be the same knot, deformed by several twists and turns of the rope forming the knot. In this project, we focus on some of the earlier attempts to distinguish knots, from the trivial looped string (the unknot), and from other knots that may appear to be the same, but may not...


