Octave

Knot Theory Group University of Liverpool Knot Theory Group University of Liverpool- Links to preprints and to programs written in pascal for doing knot calculations. The KnotPlot Site The KnotPlot Site- A visual exploration of mathematical knots. Harmonic Knots Harmonic Knots- Some results and figures from Aaron Trautwein's thesis. Wolfram MathWorld: Knot Polynomial Wolfram MathWorld: Knot Polynomial- Some knot invariants. A Third Year Lecture Course on Knots A Third Year Lecture Course on Knots- Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, tangles and… Kauffman, Louis H Kauffman, Louis H- A topologist working in knot theory discusses the connection between knot theory and statistical mechanics. Sections on cybernetics and knots, Fourier knots and… Pictures of Knots Pictures of Knots- A table of graphics of all knots of up to nine crossings. Also includes pictures of some links. New Knot Tables New Knot Tables- Covers families of knots of p, pq, p1q, p11q, p111q, pqr, pq1r types. Explains properties and notations. Includes diagram photos. Knot Theory Knot Theory- An overview of knot theory from Mathworld Thomas Fink (Tie Knots) Thomas Fink (Tie Knots)- Thomas Fink and Yong Mao, used ideas from statistical mechanics to show there are 85 ways to tie a tie. They discovered a number of new aesthetically plea… Cook's Borromean Ring Links Cook's Borromean Ring Links- Links to pages and two outlines of proofs that show the Borromean rings can't be made from circular rings. Knotscape Knotscape- By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris. Geometry and the Imagination Geometry and the Imagination- Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology. The Geometry Junkyard: Knot Theory The Geometry Junkyard: Knot Theory- A page of links on geometric questions arising from knot embeddings. Using Topology to Probe the Hidden Action of Enzymes Using Topology to Probe the Hidden Action of Enzymes- Describes how knot theory is used to understand the action of enzymes that affect DNA topolgy. History of Knot Theory History of Knot Theory- Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including papers by Tait, Kirkman, Little and Thomson. A Circular History of Knot Theory A Circular History of Knot Theory- Starting with the flawed theory of Kelvin's knotted vortex to the work of Thurston, Jones and Witten, knot theory has circled back to its ancest… Morwen Thistlethwaite's Home Page Morwen Thistlethwaite's Home Page- Has many beautiful images of symmetric knots, and information about a computer program called Knotscape (compiled binaries for Linux, Sunos and … Knots on the Web (Peter Suber) Knots on the Web (Peter Suber)- A collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, and knot books. String Figure Mathematics (or Trivial Knot Theory) String Figure Mathematics (or Trivial Knot Theory)- A mathematical analysis of string figures. Theorems, examples, illustrations and conjectures on patterns created with an unknot…