Main Page

Welcome to the home of the new 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.

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

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

 

More Stuff

• Scott's WikiLink` package provides a simple mediawiki interface, supporting accounts, in Mathematica, and works for MediaWiki 1.4beta5. (The bleeding edge version also supports file upload, and works with 1.4.7.)

todo list

• something is wrong with the clock? have a look at recent changes.
• search is broken

cosmetic

• remove redundant items from the menu on the left
• images galleries [1]
• collapsible sections??
• resizing knot images
• notes about making transparent, font-sizes png in math mode. [2]

fundamental decisions

• how to incorporate knot tables
• how to store data for invariants?
  • this probably isn't a good idea, but someone has written an extension for incorporating XML data. [3]

writing templates

• see [4] and [5]
• a start at the knot data template, and the File:K3a1.gif Trefoil, and 5_1
• playing with conditional transclusion

mathematica

• write an `auto-splicer'? Dror is working on this!

notes

• katlas installation notes