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=The Knot Atlas=
Welcome to the home of the new 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]. This site supersedes [http://www.math.toronto.edu/~drorbn/ Dror Bar-Natan's] [http://www.math.toronto.edu/~drorbn/KAtlas/ Knot Atlas]. It is being developed primarily by [[User:Scott|Scott]] and [[User:Drorbn|Dror]], but any one can edit almost anything, anytime.
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.
{| align=center

|- valign=top align=center
{| border=0 width=100%
| [[Image:Rolfsen_240.png|frame|none|<center>[[The Rolfsen Knot Table|The Rolfsen Table of knots with up to 10 crossings]]</center>]]
|-
| [[Image:Knots11_240.png|frame|none|<center>[[The Hoste-Thistlethwaite Table of 11 Crossing Knots|The Hoste-Thistlethwaite Table of 11 Crossing Knots]]</center>]]
| [[Image:Links_240.png|frame|none|<center>[[The Thistlethwaite Link Table]]<br/>&nbsp;</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>
|}
<p align=right>[[The Hoste-Thistlethwaite Table of 11 Crossing Knots|The Hoste-Thistlethwaite Table of 11 Crossing Knots]].</p>
{| align=center
|width=120|[[Image:Knots11_240.png|120px|link=The Hoste-Thistlethwaite Table of 11 Crossing Knots]]
|- valign=top align=center
|-
| [[Image:TorusKnots_240.png|frame|none|<center>[[36 Torus Knots]]</center>]]
|[[Image:Links_240.png|120px|link=The Thistlethwaite Link Table]]
| [[Image:KnotTheory_240.gif|frame|none|<center>[[The Mathematica Package KnotTheory`]]</center>]]
|<p align=left>[[The Thistlethwaite Link Table|The Thistlethwaite Link Table]].</p>
<p align=right>[[36 Torus Knots|36 Torus Knots with up to 36 Crossings]].</p>
|[[Image:TorusKnots_240.png|120px|link=36 Torus Knots]]
|-
|[[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]]
|}
|}


'''Extra''': Tube plots with [[Drawing with TubePlot|<code>TubePlot</code>]].
'''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] and [http://ipnweb.in2p3.fr/~lptms/membres/pzinn/ Paul Zinn-Justin's] [http://ipnweb.in2p3.fr/~lptms/membres/pzinn/virtlinks/ alternating virtual link database].
'''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>


&nbsp;
&nbsp;

<center>


"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."
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[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>

&nbsp;

==More Stuff==
*Scott's [[MediaWiki Mathematica 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 [http://commons.wikimedia.org/wiki/Category:William-Adolphe_Bouguereau]
*collapsible sections??

===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. [http://wiki.case.edu/CaseWiki:XML_Embedding_Extension]

===writing templates===
*see [http://meta.wikimedia.org/wiki/Help:Template_names%2C_variable_names_and_parameters_depending_on_a_variable_or_parameter#Optional_text] and [http://meta.wikimedia.org/wiki/Help:Template]
*a start at the [[Template:Basic Knot Invariants|knot data template]], and the [[Trefoil]], and [[5_1]]
*playing with [[conditional transclusion]]

===mathematica===
*write an `auto-splicer'? Dror is working on this!

==notes==
*[[katlas installation notes]]

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