|
Sponsored Links:
Morwen Thistlethwaite's Home Page (Popularity:  )
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 ...
|
|
Mathematics and Knots Exhibition (Popularity: )
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.
|
|
Knot Theory Invariants: The HOMFLY Polynomial (Popularity: )
http://library.thinkquest.org/12295/data/Invariants/Articles/HOMFLY.html
A brief article on the HOMFLY polynomial and how it is calculated.
|
|
Knots on the Web (Peter Suber) (Popularity: )
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.
|
|
|
The KnotPlot Site (Popularity: )
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.
|
|
History of Knot Theory (Popularity: )
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.
|
|
Using Topology to Probe the Hidden Action of Enzymes (Popularity: )
http://www.ams.org/notices/199505/sumners.pdf
Describes how knot theory is used to understand the action of enzymes that affect DNA topolgy (in pdf format).
|
|
A Third Year Lecture Course on Knots (Popularity: )
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 Knot Theory Primer (Popularity: )
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.
|
|
Pictures of Knots (Popularity: )
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.
|
|
String Figure Mathematics (or Trivial Knot Theory) (Popularity: )
http://website.lineone.net/~m.p/sf/menu.html
A mathematical analysis of string figures. Theorems, examples, illustrations and conjectures on patterns created with an unknotted string.
|
|
Thomas Fink (Tie Knots) (Popularity: )
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. ...
|
|
A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links (Popularity: )
http://burtleburtle.net/bob/knot/thesis.html
A research paper describing an algorithm for calculating the HOMFLY polynomial of directed knots and links. The algorithm has a better time bound for large links than algorithns that ignore ...
|
|
Knotscape (Popularity: )
http://www.math.utk.edu/~morwen/knotscape.html
By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.
|
|
Geometry and the Imagination (Popularity: )
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.
|
|
The Geometry Junkyard: Knot Theory (Popularity: )
http://www.ics.uci.edu/~eppstein/junkyard/knot.html
A page of links on geometric questions arising from knot embeddings.
|
|
The Knot Theory Home Page (Popularity: )
http://library.thinkquest.org/12295/main.html
Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.
|
|
Knot Theory (Popularity: )
http://www.mapleapps.com/categories/mathematics/Knot%20theory/html/Knots.htm
Covers techniques of distinguishing knots, types, applications, and Conway notations. Includes illustrations.
|
|
Knot Theory and Quantum Gravity (Popularity: )
http://www.phys.lsu.edu/faculty/pullin
Quantizing general relativity brings knot theory into quantum gravity. The Jones polynomial is shown to give rise to physical states of quantum gravity. Links to research papers by the author.
|
|
Cook's Borromean Ring Links (Popularity: )
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.
|
