| 1. | 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.
www.math.utk.edu |
| 2. | The KnotPlot Site | | | 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.
www.cs.ubc.ca |
| 3. | 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.
www.maths.warwick.ac.uk |
| 4. | 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.
www.math.buffalo.edu |
| 6. | BraidLink | | | Braidlink is software for knot and braid theory computations. It performs both analytic and numerical manipulations of knots and braids.
www.knot-theory.org |
| 7. | 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.
www.maths.ed.ac.uk |
| 9. | 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.
www.inst.bnl.gov |
| 12. | The Knot Theory Home Page | | | Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.
library.thinkquest.org |
| 13. | Geometry and the Imagination | | | Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology.
math.dartmouth.edu |
| 15. | Knotscape | | | By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.
www.math.utk.edu |
| 16. | Knot Plot | | | 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.
www.pims.math.ca |
| 17. | 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.
paradise.caltech.edu |
| 18. | 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 Tie''.
www.tcm.phy.cam.ac.uk |
| 19. | Knot Theory Online | | | 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.
www.freelearning.com |
| 20. | Knot Theory | | | An overview of knot theory from Mathworld
mathworld.wolfram.com |
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