Directory Sites

  • 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 Alpha platforms). Includes pictures of knots with 13 crossings or less.

    www.math.utk.edu

  • The KnotPlot Site

    Has a large number of beautiful graphics of knots created with KnotPlot. Contains an introductory section on mathematical knot theory. KnotPlot software for various platfroms can be downloaded.

    www.cs.ubc.ca

  • Knots on the Web (Peter Suber)

    The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, and knot books.

    www.earlham.edu

  • A Third Year Lecture Course on Knots

    Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, tangles and braids.

    www.maths.warwick.ac.uk

  • 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 ancestral origins of theoretical physics.

    www.math.buffalo.edu

  • Mathematics and Knots Exhibition

    High school level introduction to knot theory. Covers colourings, connected sums, torus knots, prime knots and applications of knot theory.

    www.bangor.ac.uk

  • 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.

    www.maths.ed.ac.uk

  • 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 (in pdf format).

    www.ams.org

  • A Knot Theory Primer

    Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has a tabulation of knots with up to 12 crossings.

    www.inst.bnl.gov

  • The Geometry Junkyard: Knot Theory

    A page of links on geometric questions arising from knot embeddings.

    www.ics.uci.edu

  • String Figure Mathematics (or Trivial Knot Theory)

    A mathematical analysis of string figures. Theorems, examples, illustrations and conjectures on patterns created with an unknotted string.

    website.lineone.net

  • Harmonic Knots

    An introduction to harmonic knots. Gives (parametric) formulas for knots of up to 7 crossings.

    www.carthage.edu

  • 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 the author's research papers.

    bilbo.math.uic.edu

  • Geometry and the Imagination

    Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology.

    math.dartmouth.edu

  • Megamath Knot Theory Page

    An introductory overview of knot theory.

    www.c3.lanl.gov

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