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Knot Theory (36)

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Knots on the Web (Peter Suber) Open in a new browser windowEditor's Pick
   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/knotlink.htm

Web Sites In this Category:

Morwen Thistlethwaite's Home Page Open in a new browser window  
   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/
The KnotPlot Site Open in a new browser window  
   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/contributions/scharein/KnotPlot.html
A Third Year Lecture Course on Knots Open in a new browser window  
   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/MA3F2-page.html
A Circular History of Knot Theory Open in a new browser window  
   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
Mathematics and Knots Exhibition Open in a new browser window  
   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/
Knot Theory Invariants: The HOMFLY Polynomial Open in a new browser window  
   A brief article on the HOMFLY polynomial and how it is calculated.
   http://library.thinkquest.org/12295/data/Invariants/Articles/HOMFLY.html
BraidLink Open in a new browser window  
   Braidlink is software for knot and braid theory computations. It performs both analytic and numerical manipulations of knots and braids.
   http://www.knot-theory.org/
History of Knot Theory Open in a new browser window  
   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
Using Topology to Probe the Hidden Action of Enzymes Open in a new browser window  
   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/sumners.pdf
A Knot Theory Primer Open in a new browser window  
   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
The Geometry Junkyard: Knot Theory Open in a new browser window  
   A page of links on geometric questions arising from knot embeddings.
   http://www.ics.uci.edu/~eppstein/junkyard/knot.html
Knot Theory Group University of Liverpool Open in a new browser window  
   Links to preprints and to programs written in pascal for doing knot calculations.
   http://www.liv.ac.uk/PureMaths/MIN_SET/CONTENT/RESEARCH_GROUPS/knots.html
String Figure Mathematics (or Trivial Knot Theory) Open in a new browser window  
   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
Harmonic Knots Open in a new browser window  
   An introduction to harmonic knots. Gives (parametric) formulas for knots of up to 7 crossings.
   http://www.carthage.edu/~trautwn/
The Knot Theory Home Page Open in a new browser window  
   Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.
   http://library.thinkquest.org/12295/main.html
Kauffman, Louis H Open in a new browser window  
   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/
Pictures of Knots Open in a new browser window  
   A table of graphics of all knots of up to nine crossings. Also includes pictures of some links.
   http://www.math.unl.edu/~mbritten/ldt/table9.gif
Geometry and the Imagination Open in a new browser window  
   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
Megamath Knot Theory Page Open in a new browser window  
   An introductory overview of knot theory.
   http://www.c3.lanl.gov/mega-math/gloss/knots/knots.html
Knotscape Open in a new browser window  
   By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.
   http://www.math.utk.edu/~morwen/knotscape.html
Knot Plot Open in a new browser window  
   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/
Cook's Borromean Ring Links Open in a new browser window  
   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
Thomas Fink (Tie Knots) Open in a new browser window  
   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/
Knot Theory Online Open in a new browser window  
   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.
   http://www.freelearning.com/knots/
Knot Theory Open in a new browser window  
   Covers techniques of distinguishing knots, types, applications, and Conway notations. Includes illustrations.
   http://www.mapleapps.com/categories/mathematics/Knot%20theory/html/Knots.htm
New Knot Tables Open in a new browser window  
   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/

Last Updated: 2004-05-23 22:13:27


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