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=The Knot Atlas=
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]].
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]].


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=100%
{| 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>]]
|width=120|[[Image:Rolfsen_240.png|120px|link=The Rolfsen Knot Table]]
|<p align=left>[[The Rolfsen Knot Table|The Rolfsen Table of knots with up to 10 crossings]].</p>
| [[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>]]
<p align=right>[[The Hoste-Thistlethwaite Table of 11 Crossing Knots|The Hoste-Thistlethwaite Table of 11 Crossing Knots]].</p>
|- 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>]]
|width=120|[[Image:Knots11_240.png|120px|link=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>]]
|[[Image:Links_240.png|120px|link=The Thistlethwaite Link Table]]
|- valign=top align=left
|<p align=left>[[The Thistlethwaite Link Table|The Thistlethwaite Link Table]].</p>
⚫
| [[Image:KnotTheory_240.gif|frame|none|<center>[[The Mathematica Package KnotTheory`|<font size=+0>The Mathematica Package KnotTheory`</font>]]</center>]]
⚫
<p align=right>[[36 Torus Knots|36 Torus Knots with up to 36 Crossings]].</p>
⚫
|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|link=36 Torus Knots]]

|-
⚫
'''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] and [http://ipnweb.in2p3.fr/~lptms/membres/pzinn/ Paul Zinn-Justin's] [http://ipnweb.in2p3.fr/~lptms/membres/pzinn/virtlinks/ alternating virtual link database].
|[[Image:KnotTheory_240.gif|120px|link=The Mathematica Package KnotTheory`]]
⚫
|<p align=left>[[The Mathematica Package KnotTheory`|The Mathematica Package KnotTheory`]].</p>
<p align=right>[[The Take Home Database]]</p>
|[[Image:TakeHomeDatabase.png|120px|link=The Take Home Database]]
|}
|}


⚫
'''Extras''': 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 [https://www.mi.sanu.ac.rs/vismath/linknot/ webMathematica LinKnot].


<center>
<center>

&nbsp;


"God created the knots, all else in topology is the work of mortals."
"God created the knots, all else in topology is the work of mortals."
Line 30: Line 40:
[http://en.wikipedia.org/wiki/Lemony_Snicket Lemony Snicket], A Series Of Unfortunate Events: The Bad Beginning
[http://en.wikipedia.org/wiki/Lemony_Snicket Lemony Snicket], A Series Of Unfortunate Events: The Bad Beginning
</center>
</center>


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

Latest revision as of 06:36, 27 May 2023

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.

The Hoste-Thistlethwaite Table of 11 Crossing Knots.

 Knots11 240.png
Links 240.png

The Thistlethwaite Link Table.

36 Torus Knots with up to 36 Crossings.

 TorusKnots 240.png
KnotTheory 240.gif

The Mathematica Package KnotTheory`.

The Take Home Database

 TakeHomeDatabase.png

Extras: 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

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