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Knot Theory

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Morwen Thistlethwaite's Home Page (Popularity: )

Has many beautiful images of symmetric knots, and information about a computer program called Knotscape ...

Mathematics and Knots Exhibition (Popularity: )

High school level introduction to knot theory. Covers colourings, connected sums, torus knots, prime knots ...

Knots on the Web (Peter Suber) (Popularity: )

The most comprehensive collection of knotting resources on the web. Sections on knot tying, mathematical ...

A Circular History of Knot Theory (Popularity: )

Starting with the flawed theory of Kelvin's knotted vortex to the work of Thurston, Jones ...

The KnotPlot Site (Popularity: )

Has a large number of beautiful graphics of knots created with KnotPlot. Contains an introductory ...

Knot Theory Invariants: The HOMFLY Polynomial (Popularity: )

A brief article on the HOMFLY polynomial and how it is calculated.

A Third Year Lecture Course on Knots (Popularity: )

Includes examples, solutions, knot tables, pretty pictures. Course material includes: colouring, Alexander and Jones polynomials, ...

History of Knot Theory (Popularity: )

Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including ...

Using Topology to Probe the Hidden Action of Enzymes (Popularity: )

Describes how knot theory is used to understand the action of enzymes that affect DNA ...

A Knot Theory Primer (Popularity: )

Comprehensive knot theory site focusing on the knot classification problem and knot tabulations. Has a ...

BraidLink (Popularity: )

Braidlink is software for knot and braid theory computations. It performs both analytic and numerical ...

String Figure Mathematics (or Trivial Knot Theory) (Popularity: )

A mathematical analysis of string figures. Theorems, examples, illustrations and conjectures on patterns created with ...

The Knot Theory Home Page (Popularity: )

Elementary introduction to knot theory. Covers the existence of knots, Reidemeister moves and colorations.

A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links (Popularity: )

A research paper describing an algorithm for calculating the HOMFLY polynomial of directed knots and ...

Geometry and the Imagination (Popularity: )

Has a small section on knot theory at an introductory level. Also has sections on ...

The Geometry Junkyard: Knot Theory (Popularity: )

A page of links on geometric questions arising from knot embeddings.

Thomas Fink (Tie Knots) (Popularity: )

Thomas Fink and Yong Mao, used ideas from statistical mechanics to show there are 85 ...

Pictures of Knots (Popularity: )

A table of graphics of all knots of up to nine crossings. Also includes pictures ...

Knot Theory (Popularity: )

Covers techniques of distinguishing knots, types, applications, and Conway notations. Includes illustrations.

Knotscape (Popularity: )

By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.

 
 

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