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


{| border=0
{| width=85% cellspacing=10 align=center
|-
|- valign=top align=left
|[[Image:Rolfsen_240.png|120px]]
| [[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>]]
|[[The Rolfsen Knot Table|The Rolfsen Table of knots with up to 10 crossings]].
⚫
| [[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:Knots11_240.png|120px]]
⚫
| [[Image:Links_240.png|frame|none|<center>[[The Thistlethwaite Link Table|<font size=+0>The Thistlethwaite Link Table</font>]]<br/>&nbsp;</center>]]
⚫
|[[The Hoste-Thistlethwaite Table of 11 Crossing Knots|The Hoste-Thistlethwaite Table of 11 Crossing Knots]].
⚫
| [[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:Links_240.png|120px]]
⚫
| [[Image:KnotTheory_240.gif|frame|none|<center>[[The Mathematica Package KnotTheory`|<font size=+0>The Mathematica Package KnotTheory`</font>]]</center>]]
⚫
|[[The Thistlethwaite Link Table|The Thistlethwaite Link Table]].
⚫
|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]].
|-

|[[Image:TorusKnots_240.png|120px]]
⚫
'''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].
⚫
|[[36 Torus Knots|36 Torus Knots with up to 36 Crossings]].
|-
|[[Image:KnotTheory_240.gif|120px]]
⚫
|[[The Mathematica Package KnotTheory`|The Mathematica Package KnotTheory`]].
|}
|}


⚫
'''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].


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Revision as of 16:35, 17 July 2007

The Knot Atlas

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.

Rolfsen 240.png The Rolfsen Table of knots with up to 10 crossings.
Knots11 240.png The Hoste-Thistlethwaite Table of 11 Crossing Knots.
Links 240.png The Thistlethwaite Link Table.
TorusKnots 240.png 36 Torus Knots with up to 36 Crossings.
KnotTheory 240.gif The Mathematica Package KnotTheory`.

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.

Retrieved from "https://katlas.org/index.php?title=Main_Page&oldid=1688820"