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» Knots on the Web (Peter Suber)
![]() ![]() 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 Sites:
» 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. http://www.math.buffalo.edu/~menasco/Knottheory.html » 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. http://www.inst.bnl.gov/~wei/contents.html » 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. http://www.warwick.ac.uk/~maaac/MA3F2-page.html » 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. http://paradise.caltech.edu/~cook/Workshop/Math/Borromean/Borrring.html » Geometry and the Imagination
![]() 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 » Harmonic Knots
![]() Some results and figures from Aaron Trautwein's thesis. http://www.math.uiowa.edu/~jsimon/aaron.html » 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. http://www.maths.ed.ac.uk/~aar/knots/index.htm » Kauffman, Louis H
![]() 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/ » Knot Theory
![]() An overview of knot theory from Mathworld http://mathworld.wolfram.com/topics/KnotTheory.html » Knot Theory Group University of Liverpool
![]() Links to preprints and to programs written in pascal for doing knot calculations. http://www.liv.ac.uk/~su14/knotgroup.html » Knot Theory Invariants: The HOMFLY Polynomial
![]() A brief article on the HOMFLY polynomial and how it is calculated. http://library.thinkquest.org/12295/data/Invariants/Articles/HOMFLY.html » Knotscape
![]() By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris. http://www.math.utk.edu/~morwen/knotscape.html » Mathematics and Knots
![]() An exhibition of knots provided by the Division of Mathematics, University of Wales, Bangor. http://www.popmath.org.uk/exhib/knotexhib.html » Megamath Knot Theory Page
![]() An introductory overview of knot theory. http://www.c3.lanl.gov/mega-math/gloss/knots/knots.html » 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. http://www.math.utk.edu/~morwen/ » New Knot Tables
![]() 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/ ![]() » Pictures of Knots
![]() 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 » String Figure Mathematics (or Trivial Knot Theory)
![]() 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 » The Geometry Junkyard: Knot Theory
![]() A page of links on geometric questions arising from knot embeddings. http://www.ics.uci.edu/~eppstein/junkyard/knot.html » The Knot Theory Home Page
![]() Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations. http://library.thinkquest.org/12295/ » 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 http://www.tcm.phy.cam.ac.uk/~tmf20/ » Using Topology to Probe the Hidden Action of Enzymes
![]() Describes how knot theory is used to understand the action of enzymes that affect DNA topolgy. http://www.ams.org/notices/199505/sumners.pdf » Wolfram MathWorld: Knot Polynomial
![]() Some knot invariants. http://mathworld.wolfram.com/KnotPolynomial.html This category needs an editor
Last Updated: 2007-01-02 17:54:47
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