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Welcome to the Knot Atlas! This site aims to be a complete user-editable knot atlas, in the [http://en.wikipedia.org/wiki/Wikimedia wiki] spirit of [http://en.wikipedia.org/wiki/Main_Page Wikipedia]. It is being developed primarily by [[User:Scott|Scott]] and [[User:Drorbn|Dror]], but any one can edit almost anything, anytime. Some advice can be found at [[how you can contribute]].
Hi, great site!

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

{| width=85% cellspacing=10 align=center
|- valign=top align=left
| [[Image:Rolfsen_240.png|frame|none|<center>[[The Rolfsen Knot Table|<font size=+0>The Rolfsen Table of knots with up to 10 crossings</font>]]</center>]]
| [[Image:Knots11_240.png|frame|none|<center>[[The Hoste-Thistlethwaite Table of 11 Crossing Knots|<font size=+0>The Hoste-Thistlethwaite Table of 11 Crossing Knots</font>]]</center>]]
|- valign=top align=left
| [[Image:Links_240.png|frame|none|<center>[[The Thistlethwaite Link Table|<font size=+0>The Thistlethwaite Link Table</font>]]<br/>&nbsp;</center>]]
| [[Image:TorusKnots_240.png|frame|none|<center>[[36 Torus Knots|<font size=+0>36 Torus Knots with up to 36 Crossings</font>]]</center>]]
|- valign=top align=left
| [[Image:KnotTheory_240.gif|frame|none|<center>[[The Mathematica Package KnotTheory`|<font size=+0>The Mathematica Package KnotTheory`</font>]]</center>]]
|valign=middle align=left|'''Extras''': (Almost) all the data in one place: [http://katlas.math.toronto.edu/KnotTheory/KnotAtlasData.csv.gz KnotAtlasData.csv.gz], Tube plots with [[Drawing with TubePlot|<code>TubePlot</code>]], [[WikiLink - The Mediawiki Interface]].

'''See also''': Jeremy Green's [http://www.math.toronto.edu/~drorbn/Students/GreenJ/ Table of Virtual Knots], [http://php.indiana.edu/~livingst/ Chuck Livingston's] amazing [http://www.indiana.edu/~knotinfo/ Table of Knot Invariants], Hermann Gruber's [http://home.in.tum.de/~gruberh/ atlas of rational knots], [http://ipnweb.in2p3.fr/~lptms/membres/pzinn/ Paul Zinn-Justin's] [http://ipnweb.in2p3.fr/~lptms/membres/pzinn/virtlinks/ alternating virtual link database] and Slavik Jablan and Radmila Sazdanovic's [http://math.ict.edu.yu/ webMathematica LinKnot].
|}


<center>

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

[http://en.wikipedia.org/wiki/Kronecker Leopold Kronecker] (modified)

&nbsp;

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

[http://en.wikipedia.org/wiki/Lemony_Snicket Lemony Snicket], A Series Of Unfortunate Events: The Bad Beginning
</center>


This site supersedes [http://www.math.toronto.edu/~drorbn/ Dror Bar-Natan's] [http://www.math.toronto.edu/~drorbn/KAtlas/ Knot Atlas].

Revision as of 05:20, 6 October 2006

Welcome to the Knot Atlas! This site aims to be a complete user-editable knot atlas, in the wiki spirit of Wikipedia. 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 evolving projects, the most important part of the Knot Atlas is the To Do list.

Extras: (Almost) all the data in one place: KnotAtlasData.csv.gz, Tube plots with TubePlot, WikiLink - The Mediawiki Interface.

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


"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


This site supersedes Dror Bar-Natan's Knot Atlas.