Topology
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- Algebraic General Topology and Math Synthesis
- Abstract topological objects expressing infinities with algebraic operations.
- 29
- The Optiverse and Other Sphere Eversions
- Article by John M. Sullivan on sphere eversions, with numerous illustrations.
- 30
- 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.
- 31
- 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.
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- 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.
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- Knotscape
- By Jim Hoste and Morwen Thistlethwaite. Provides convenient access to tables of knots. Linux, Solaris.
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- 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.
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- Pictures of Knots
- A table of graphics of all knots of up to nine crossings. Also includes pictures of some links.
- 36
- The Geometry Junkyard: Knot Theory
- A page of links on geometric questions arising from knot embeddings.
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- 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 Tie''.