Knots on the Web (Peter Suber) Save
The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, and knot books.
http://www.earlham.edu/~peters/knotli...   

A Circular History of Knot Theory Save
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/...   

A Knot Theory Primer Save
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...   

A Third Year Lecture Course on Knots Save
Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, tangles and braids.
http://www.maths.warwick.ac.uk/~bjs/M...   

Cook's Borromean Ring Links Save
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/Wor...   

Geometry and the Imagination Save
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...   

Harmonic Knots Save
An introduction to harmonic knots. Gives (parametric) formulas for knots of up to 7 crossings.
http://www.carthage.edu/~trautwn/   

History of Knot Theory Save
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/...   

Kauffman, Louis H Save
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://bilbo.math.uic.edu/~kauffman/   

Knot Plot Save
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.
http://www.pims.math.ca/knotplot/   

Knot Theory Save
An overview of knot theory from Mathworld
http://mathworld.wolfram.com/topics/K...   

Knot Theory Save
Covers techniques of distinguishing knots, types, applications, and Conway notations. Includes illustrations.
http://www.mapleapps.com/categories/m...   

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

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

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

Mathematics and Knots Exhibition Save
High school level introduction to knot theory. Covers colourings, connected sums, torus knots, prime knots and applications of knot theory.
http://www.bangor.ac.uk/cpm/exhib/   

Megamath Knot Theory Page Save
An introductory overview of knot theory.
http://www.c3.lanl.gov/mega-math/glos...   

Morwen Thistlethwaite's Home Page Save
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 Save
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/kn...   

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

String Figure Mathematics (or Trivial Knot Theory) Save
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/me...   

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

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

The KnotPlot Site Save
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.
http://www.cs.ubc.ca/labs/imager/cont...   

Thomas Fink (Tie Knots) Save
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''.
http://www.tcm.phy.cam.ac.uk/~tmf20/   

Using Topology to Probe the Hidden Action of Enzymes Save
Describes how knot theory is used to understand the action of enzymes that affect DNA topolgy (in pdf format).
http://www.ams.org/notices/199505/sum...   

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