https://katlas.org/index.php?action=history&feed=atom&title=Knot_table_-_ten_crossings 2026-04-22T06:03:30Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=1720961&oldid=prev 2013-08-12T15:04:46Z

<p><span dir="auto"><span class="autocomment">Knots with 10 crossings</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:04, 12 August 2013</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 180:</td> <td colspan="2" class="diff-lineno">Line 180:</td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|-</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|-</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_161}}</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_161}}</div></td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|align=center|<del style="font-weight: bold; text-decoration: none;">Where's</del>&lt;br&gt;<del style="font-weight: bold; text-decoration: none;">Perko?</del></div></td> <td class="diff-marker" data-marker="+"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|align=center|<ins style="font-weight: bold; text-decoration: none;">See</ins>&lt;br&gt;<ins style="font-weight: bold; text-decoration: none;">&lt;font color=red&gt;warning&lt;/font&gt;&lt;br&gt;below</ins></div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_162}}</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_162}}</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_163}}</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_163}}</div></td> </tr> <tr> <td colspan="2" class="diff-lineno">Line 188:</td> <td colspan="2" class="diff-lineno">Line 188:</td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/center&gt;</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/center&gt;</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In 1973 K. Perko noticed that the knots that were later labeled 10&lt;sub&gt;161&lt;/sub&gt; and 10&lt;sub&gt;162&lt;/sub&gt; in Rolfsen's tables (which were published in 1976 and were based on earlier tables by Little (1900) and Conway (1970)) are in fact the same. In our table we removed Rolfsen's 10&lt;sub&gt;162&lt;/sub&gt; and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [http://mathworld.wolfram.com/PerkoPair.html] [http://www.math.cuhk.edu.hk/publect/lecture4/perko.html] [http://www.maths.warwick.ac.uk/~bjs/Perko-page.html] [http://www.math.uiuc.edu/~jms/Videos/ke/images.html]</div></td> <td class="diff-marker" data-marker="+"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;font size=+1 color=red&gt;'''Warning.'''&lt;/font&gt; </ins>In 1973 K. Perko noticed that the knots that were later labeled 10&lt;sub&gt;161&lt;/sub&gt; and 10&lt;sub&gt;162&lt;/sub&gt; in Rolfsen's tables (which were published in 1976 and were based on earlier tables by Little (1900) and Conway (1970)) are in fact the same. In our table we removed Rolfsen's 10&lt;sub&gt;162&lt;/sub&gt; and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [http://mathworld.wolfram.com/PerkoPair.html] [http://www.math.cuhk.edu.hk/publect/lecture4/perko.html] [http://www.maths.warwick.ac.uk/~bjs/Perko-page.html] [http://www.math.uiuc.edu/~jms/Videos/ke/images.html]</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[http://knotplot.com/perko/].</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[http://knotplot.com/perko/].</div></td> </tr> </table>

Drorbn https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=1719509&oldid=prev 2013-08-08T18:36:37Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:36, 8 August 2013</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 188:</td> <td colspan="2" class="diff-lineno">Line 188:</td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/center&gt;</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;/center&gt;</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br /></td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In <del style="font-weight: bold; text-decoration: none;">1974</del> K. Perko noticed that the knots labeled 10&lt;sub&gt;161&lt;/sub&gt; and 10&lt;sub&gt;162&lt;/sub&gt; in Rolfsen's tables are in fact the same. In our table we removed <del style="font-weight: bold; text-decoration: none;">his</del> 10&lt;sub&gt;162&lt;/sub&gt; and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [http://mathworld.wolfram.com/PerkoPair.html] [http://www.math.cuhk.edu.hk/publect/lecture4/perko.html] [http://www.maths.warwick.ac.uk/~bjs/Perko-page.html] [http://www.math.uiuc.edu/~jms/Videos/ke/images.html]</div></td> <td class="diff-marker" data-marker="+"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>In <ins style="font-weight: bold; text-decoration: none;">1973</ins> K. Perko noticed that the knots<ins style="font-weight: bold; text-decoration: none;"> that were later</ins> labeled 10&lt;sub&gt;161&lt;/sub&gt; and 10&lt;sub&gt;162&lt;/sub&gt; in Rolfsen's tables<ins style="font-weight: bold; text-decoration: none;"> (which were published in 1976 and were based on earlier tables by Little (1900) and Conway (1970))</ins> are in fact the same. In our table we removed <ins style="font-weight: bold; text-decoration: none;">Rolfsen's</ins> 10&lt;sub&gt;162&lt;/sub&gt; and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [http://mathworld.wolfram.com/PerkoPair.html] [http://www.math.cuhk.edu.hk/publect/lecture4/perko.html] [http://www.maths.warwick.ac.uk/~bjs/Perko-page.html] [http://www.math.uiuc.edu/~jms/Videos/ke/images.html]</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[http://knotplot.com/perko/].</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[http://knotplot.com/perko/].</div></td> </tr> </table>

Drorbn https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=1691335&oldid=prev 2007-12-09T18:08:01Z

<p><span dir="auto"><span class="autocomment">Knots with 10 crossings</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:08, 9 December 2007</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td> </tr> <tr> <td colspan="2" class="diff-empty diff-side-deleted"></td> <td class="diff-marker" data-marker="+"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;noinclude&gt;This is one of the tables included into [[The Rolfsen Knot Table]]&lt;/noinclude&gt;</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Knots with 10 crossings==</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Knots with 10 crossings==</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;center&gt;</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;center&gt;</div></td> </tr> </table>

Drorbn https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=1691299&oldid=prev 2007-12-03T01:45:15Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:45, 2 December 2007</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 179:</td> <td colspan="2" class="diff-lineno">Line 179:</td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|-</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|-</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_161}}</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_161}}</div></td> </tr> <tr> <td class="diff-marker" data-marker="−"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|Where's&lt;br&gt;Perko?</div></td> <td class="diff-marker" data-marker="+"></td> <td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">|align=center</ins>|Where's&lt;br&gt;Perko?</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_162}}</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_162}}</div></td> </tr> <tr> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_163}}</div></td> <td class="diff-marker"></td> <td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Knot Table Image|10_163}}</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-1688930:rev-1691299:1.13.0 --> </table>

Drorbn https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=1688930&oldid=prev 2007-07-21T11:43:12Z

<p>Reverted edits by <a href="/wiki/Special:Contributions/60.190.79.18" title="Special:Contributions/60.190.79.18">60.190.79.18</a> (<a href="/index.php?title=User_talk:60.190.79.18&amp;action=edit&amp;redlink=1" class="new" title="User talk:60.190.79.18 (page does not exist)">Talk</a>); changed back to last version by <a href="/wiki/User:Drorbn" title="User:Drorbn">Drorbn</a></p> <a href="https://katlas.org/index.php?title=Knot_table_-_ten_crossings&amp;diff=1688930&amp;oldid=1688917">Show changes</a>

Drorbn https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=1688917&oldid=prev 2007-07-21T06:59:02Z

<p>iamlonleymsn.com</p> <a href="https://katlas.org/index.php?title=Knot_table_-_ten_crossings&amp;diff=1688917&amp;oldid=1688867">Show changes</a>

60.190.79.18 https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=1688867&oldid=prev 2007-07-18T10:55:55Z

<p>Reverted edits by <a href="/wiki/Special:Contributions/222.132.81.146" title="Special:Contributions/222.132.81.146">222.132.81.146</a> (<a href="/index.php?title=User_talk:222.132.81.146&amp;action=edit&amp;redlink=1" class="new" title="User talk:222.132.81.146 (page does not exist)">Talk</a>); changed back to last version by <a href="/wiki/User:Drorbn" title="User:Drorbn">Drorbn</a></p> <a href="https://katlas.org/index.php?title=Knot_table_-_ten_crossings&amp;diff=1688867&amp;oldid=1688851">Show changes</a>

Drorbn https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=1688851&oldid=prev 2007-07-18T10:24:35Z

<p>iamlonleymsn.com</p> <a href="https://katlas.org/index.php?title=Knot_table_-_ten_crossings&amp;diff=1688851&amp;oldid=60805">Show changes</a>

222.132.81.146 https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=60805&oldid=prev 2007-05-26T19:19:48Z

<p>Reverted edit of 81.63.140.37, changed back to last version by Drorbn</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:19, 26 May 2007</td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-59505:rev-60805:1.13.0 --> </table>

Drorbn https://katlas.org/index.php?title=Knot_table_-_ten_crossings&diff=59505&oldid=prev 2007-05-26T19:19:48Z

<p>Reverted edit of 81.63.140.37, changed back to last version by Drorbn</p> <a href="https://katlas.org/index.php?title=Knot_table_-_ten_crossings&amp;diff=59505&amp;oldid=58218">Show changes</a>

Drorbn