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Knot Theory (31)
A 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
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
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
Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, tangles and braids.
http://www.warwick.ac.uk/~maaac/MA3F2-page.html
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
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
Some results and figures from Aaron Trautwein's thesis.
http://www.math.uiowa.edu/~jsimon/aaron.html
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
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://www.math.uic.edu/~kauffman/
An overview of knot theory from Mathworld
http://mathworld.wolfram.com/topics/KnotTheory.html
Links to preprints and to programs written in pascal for doing knot calculations.
http://www.liv.ac.uk/~su14/knotgroup.html
A brief article on the HOMFLY polynomial and how it is calculated.
http://library.thinkquest.org/12295/data/Invariants/Articles/HOMFLY.html
By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.
http://www.math.utk.edu/~morwen/knotscape.html
An exhibition of knots provided by the Division of Mathematics, University of Wales, Bangor.
http://www.popmath.org.uk/exhib/knotexhib.html
An introductory overview of knot theory.
http://www.c3.lanl.gov/mega-math/gloss/knots/knots.html
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/
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/
A table of graphics of all knots of up to nine crossings. Also includes pictures of some links.
http://www.math.unl.edu/~mbrittenham2/ldt/table9.gif
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
A page of links on geometric questions arising from knot embeddings.
http://www.ics.uci.edu/~eppstein/junkyard/knot.html
Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.
http://library.thinkquest.org/12295/
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/
Describes how knot theory is used to understand the action of enzymes that affect DNA topolgy.
http://www.ams.org/notices/199505/sumners.pdf
Some knot invariants.
http://mathworld.wolfram.com/KnotPolynomial.html
Last Updated: 2007-01-02 17:54:47
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The content of this directory is based on the Open Directory and has been modified by AllMusicSearch.com editors
