Web Directory

» 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.
   http://www.math.buffalo.edu/~menasco/Knottheory.html

» 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.
   http://www.inst.bnl.gov/~wei/contents.html

» 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.
   http://www.warwick.ac.uk/~maaac/MA3F2-page.html

» 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.
   http://paradise.caltech.edu/~cook/Workshop/Math/Borromean/Borrring.html

» Geometry and the Imagination
   Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology.
   http://math.dartmouth.edu/~doyle/docs/gi/gi/gi.html

» Harmonic Knots
   Some results and figures from Aaron Trautwein's thesis.
   http://www.math.uiowa.edu/~jsimon/aaron.html

» 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.
   http://www.maths.ed.ac.uk/~aar/knots/index.htm

» 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.
   http://www.math.uic.edu/~kauffman/

» Knot Theory
   An overview of knot theory from Mathworld
   http://mathworld.wolfram.com/topics/KnotTheory.html

» Knot Theory Group University of Liverpool
   Links to preprints and to programs written in pascal for doing knot calculations.
   http://www.liv.ac.uk/~su14/knotgroup.html

» Knot Theory Invariants: The HOMFLY Polynomial
   A brief article on the HOMFLY polynomial and how it is calculated.
   http://library.thinkquest.org/12295/data/Invariants/Articles/HOMFLY.html

» Knotscape
   By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.
   http://www.math.utk.edu/~morwen/knotscape.html

» Mathematics and Knots
   An exhibition of knots provided by the Division of Mathematics, University of Wales, Bangor.
   http://www.popmath.org.uk/exhib/knotexhib.html

» Megamath Knot Theory Page
   An introductory overview of knot theory.
   http://www.c3.lanl.gov/mega-math/gloss/knots/knots.html

» 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.
   http://www.math.utk.edu/~morwen/

» New Knot Tables
   Covers families of knots of p, pq, p1q, p11q, p111q, pqr, pq1r types. Explains properties and notations. Includes diagram photos.
   http://members.tripod.com/vismath7/knotab/

» Pictures of Knots
   A table of graphics of all knots of up to nine crossings. Also includes pictures of some links.
   http://www.math.unl.edu/~mbrittenham2/ldt/table9.gif

» 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.
   http://website.lineone.net/~m.p/sf/menu.html

» The Geometry Junkyard: Knot Theory
   A page of links on geometric questions arising from knot embeddings.
   http://www.ics.uci.edu/~eppstein/junkyard/knot.html

» The Knot Theory Home Page
   Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.
   http://library.thinkquest.org/12295/

» The KnotPlot Site
   A visual exploration of mathematical knots.
   http://www.knotplot.com/

» 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 pleasing tie knots. This page has links to their original papers and to their book ``The 85 Ways to Tie a
   http://www.tcm.phy.cam.ac.uk/~tmf20/

» 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.
   http://www.ams.org/notices/199505/sumners.pdf

» Wolfram MathWorld: Knot Polynomial
   Some knot invariants.
   http://mathworld.wolfram.com/KnotPolynomial.html