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Top: Science: Math: Topology: Knot_Theory:

See also:
  • Knots on the Web (Peter Suber) Zapisz - A collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, and knot books.
  • A Circular History of Knot Theory Zapisz - 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 ancestral origins of theoretical physics.
  • A Knot Theory Primer Zapisz - Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has a tabulation of knots with up to 12 crossings.
  • A Third Year Lecture Course on Knots Zapisz - Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, tangles and braids.
  • Cook's Borromean Ring Links Zapisz - Links to pages and two outlines of proofs that show the Borromean rings can't be made from circular rings.
  • Geometry and the Imagination Zapisz - Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology.
  • Harmonic Knots Zapisz - Some results and figures from Aaron Trautwein's thesis.
  • History of Knot Theory Zapisz - Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including papers by Tait, Kirkman, Little and Thomson.
  • Kauffman, Louis H Zapisz - A topologist working in knot theory discusses the connection between knot theory and statistical mechanics. Sections on cybernetics and knots, Fourier knots and the author's research papers.
  • Knot Theory Zapisz - An overview of knot theory from Mathworld
  • Knot Theory Group University of Liverpool Zapisz - Links to preprints and to programs written in pascal for doing knot calculations.
  • Knot Theory Invariants: The HOMFLY Polynomial Zapisz - A brief article on the HOMFLY polynomial and how it is calculated.
  • Knotscape Zapisz - By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.
  • Mathematics and Knots Zapisz - An exhibition of knots provided by the Division of Mathematics, University of Wales, Bangor.
  • Megamath Knot Theory Page Zapisz - An introductory overview of knot theory.
  • Morwen Thistlethwaite's Home Page Zapisz - Has many beautiful images of symmetric knots, and information about a computer program called Knotscape (compiled binaries for Linux, Sunos and Alpha platforms). Includes pictures of knots with 13 crossings or less.
  • New Knot Tables Zapisz - Covers families of knots of p, pq, p1q, p11q, p111q, pqr, pq1r types. Explains properties and notations. Includes diagram photos.
  • Pictures of Knots Zapisz - A table of graphics of all knots of up to nine crossings. Also includes pictures of some links.
  • String Figure Mathematics (or Trivial Knot Theory) Zapisz - A mathematical analysis of string figures. Theorems, examples, illustrations and conjectures on patterns created with an unknotted string.
  • The Geometry Junkyard: Knot Theory Zapisz - A page of links on geometric questions arising from knot embeddings.
  • The Knot Theory Home Page Zapisz - Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.
  • The KnotPlot Site Zapisz - A visual exploration of mathematical knots.
  • Thomas Fink (Tie Knots) Zapisz - 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 pleasing tie knots. This page has links to their original papers and to their book ``The 85 Ways to Tie a Tie''.
  • Using Topology to Probe the Hidden Action of Enzymes Zapisz - Describes how knot theory is used to understand the action of enzymes that affect DNA topolgy. [PDF]
  • Wolfram MathWorld: Knot Polynomial Zapisz - Some knot invariants.