- Morwen Thistlethwaite's Home Page - http://www.math.utk.edu/~morwen/
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.
- The KnotPlot Site - http://www.cs.ubc.ca/labs/imager/contributions/scharein/KnotPlot.html
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.
- Knots on the Web (Peter Suber) - http://www.earlham.edu/~peters/knotlink.htm
The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, and knot books.
- A Third Year Lecture Course on Knots - http://www.maths.warwick.ac.uk/~bjs/MA3F2-page.html
Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, tangles and braids.
- A Circular History of Knot Theory - http://www.math.buffalo.edu/~menasco/Knottheory.html
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.
- Mathematics and Knots Exhibition - http://www.bangor.ac.uk/cpm/exhib/
High school level introduction to knot theory. Covers colourings, connected sums, torus knots, prime knots and applications of knot theory.
- BraidLink - http://www.knot-theory.org/
Braidlink is software for knot and braid theory computations. It performs both analytic and numerical manipulations of knots and braids.
- History of Knot Theory - http://www.maths.ed.ac.uk/~aar/knots/index.htm
Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including papers by Tait, Kirkman, Little and Thomson.
- A Knot Theory Primer - http://www.inst.bnl.gov/~wei/contents.html
Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has a tabulation of knots with up to 12 crossings.
- Harmonic Knots - http://www.carthage.edu/~trautwn/
An introduction to harmonic knots. Gives (parametric) formulas for knots of up to 7 crossings.
- Kauffman, Louis H - http://bilbo.math.uic.edu/~kauffman/
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.
- Pictures of Knots - http://www.math.unl.edu/~mbritten/ldt/table9.gif
A table of graphics of all knots of up to nine crossings. Also includes pictures of some links.
- Geometry and the Imagination - http://math.dartmouth.edu/~doyle/docs/gi/gi/gi.html
Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology.
- Knotscape - http://www.math.utk.edu/~morwen/knotscape.html
By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.
- Knot Plot - http://www.pims.math.ca/knotplot/
A collection of knots and links, viewed from a (mostly) mathematical perspective. Nearly all of the images here were created with KnotPlot, a program to visualize and manipulate mathematical knots in three and four dimensions.
- Cook's Borromean Ring Links - http://paradise.caltech.edu/~cook/Workshop/Math/Borromean/Borrring.html
Links to pages and two outlines of proofs that show the Borromean rings can't be made from circular rings.
- Thomas Fink (Tie Knots) - http://www.tcm.phy.cam.ac.uk/~tmf20/
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''.
- Knot Theory Online - http://www.freelearning.com/knots/
This site is designed for mathematics students at the high school and college levels as an introduction to an area of mathematics seldom explored in the typical math classroom - the Theory of Knots.
- Knot Theory - http://mathworld.wolfram.com/topics/KnotTheory.html
An overview of knot theory from Mathworld
- Knot Theory - http://www.mapleapps.com/categories/mathematics/Knot%20theory/html/Knots.htm
Covers techniques of distinguishing knots, types, applications, and Conway notations. Includes illustrations.
- New Knot Tables - http://members.tripod.com/vismath7/knotab/
Covers families of knots of p, pq, p1q, p11q, p111q, pqr, pq1r types. Explains properties and notations. Includes diagram photos.
- An Introduction to Knot Theory - http://www.yucc.yorku.ca/~mouse/knots/knots.html
Introductory level tutorial requiring only a high school mathematics background, some linear algebra is needed in places.
- The Knot Theory Home Page - http://library.thinkquest.org/12295/
Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.
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