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Knot Theory (36)Categories:
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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/ 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 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 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 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/ A brief article on the HOMFLY polynomial and how it is calculated. http://library.thinkquest.org/12295/data/Invariants/Articles/HOMFLY.html 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/ 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 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 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 page of links on geometric questions arising from knot embeddings. http://www.ics.uci.edu/~eppstein/junkyard/knot.html 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 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 An introduction to harmonic knots. Gives (parametric) formulas for knots of up to 7 crossings. http://www.carthage.edu/~trautwn/ Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations. http://library.thinkquest.org/12295/main.html 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/ 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 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 An introductory overview of knot theory. http://www.c3.lanl.gov/mega-math/gloss/knots/knots.html By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris. http://www.math.utk.edu/~morwen/knotscape.html 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/ 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 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/ 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/ Covers techniques of distinguishing knots, types, applications, and Conway notations. Includes illustrations. http://www.mapleapps.com/categories/mathematics/Knot%20theory/html/Knots.htm 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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