Main Page

Welcome to the new home of the Knot Atlas! This site aims to be a complete user-editable knot atlas, in the wiki spirit of Wikipedia. This site supersedes Dror Bar-Natan's Knot Atlas. It is being developed primarily by Scott and Dror, but any one can edit almost anything, anytime. Some advice can be found at how you can contribute.

As with all new projects, the most important part of the Knot Atlas is the To Do list.

The Rolfsen Table of knots with up to 10 crossings

The Hoste-Thistlethwaite Table of 11 Crossing Knots

The Thistlethwaite Link Table

36 Torus Knots with up to 36 Crossings

The Mathematica Package KnotTheory`

Extra: Tube plots with TubePlot.

See also: Jeremy Green's Table of Virtual Knots, Chuck Livingston's amazing Table of Knot Invariants, Hermann Gruber's atlas of rational knots and Paul Zinn-Justin's alternating virtual link database.

 

"God created the knots, all else in topology is the work of mortals."

Leopold Kronecker (modified)

 

"Among Violet's many useful skills was a vast knowledge of different types of knots"

Lemony Snicket, A Series Of Unfortunate Events: The Bad Beginning