Knot Theory Websites

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

A collection of knotting resources on the web. Sections on knot tying, mathematical knot theory, knot art, and knot books.

Biographies of early knot theorists. Many early papers on knot theory (in pdf format) including papers by Tait, Kirkman, Little and Thomson.

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

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

Has a small section on knot theory at an introductory level. Also has sections on orbifolds, polyhedra and topology.

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

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'.

An overview of knot theory from Mathworld

Covers families of knots of p, pq, p1q, p11q, p111q, pqr, pq1r types. Explains properties and notations. Includes diagram photos.

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

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

Some knot invariants.

A visual exploration of mathematical knots.

Links to preprints and to programs written in pascal for doing knot calculations.