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dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Flat woven decorative knot</div> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox"><tbody><tr><th colspan="2" class="infobox-above" style="background:#ffff99">Carrick mat</th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Carrick_mat_Brianetta.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/62/Carrick_mat_Brianetta.jpg/220px-Carrick_mat_Brianetta.jpg" decoding="async" width="220" height="189" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/62/Carrick_mat_Brianetta.jpg/330px-Carrick_mat_Brianetta.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/62/Carrick_mat_Brianetta.jpg/440px-Carrick_mat_Brianetta.jpg 2x" data-file-width="1696" data-file-height="1456" /></a></span><div class="infobox-caption">Carrick mat made with three passes</div></td></tr><tr><th scope="row" class="infobox-label">Names</th><td class="infobox-data">Carrick mat, Prolong knot</td></tr><tr><th scope="row" class="infobox-label">Category</th><td class="infobox-data"><a href="/wiki/List_of_decorative_knots" class="mw-redirect" title="List of decorative knots">Decorative</a></td></tr><tr><th scope="row" class="infobox-label">Related</th><td class="infobox-data"><a href="/wiki/Carrick_bend" title="Carrick bend">Carrick bend</a>, <a href="/wiki/Turk%27s_head_knot" title="Turk's head knot">Turk's head</a>, <a href="/wiki/Austrian_knot" title="Austrian knot">Austrian knot</a></td></tr><tr><th scope="row" class="infobox-label">Typical use</th><td class="infobox-data">Mat for padding or decoration</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/The_Ashley_Book_of_Knots" title="The Ashley Book of Knots">ABoK</a></th><td class="infobox-data">#2242, #2244</td></tr><tr><th scope="row" class="infobox-label">Instructions</th><td class="infobox-data"><a rel="nofollow" class="external autonumber" href="http://www.animatedknots.com/carrickmat/">[1]</a></td></tr></tbody></table> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Adventuress_-_on_deck_-_detail_01.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Adventuress_-_on_deck_-_detail_01.jpg/220px-Adventuress_-_on_deck_-_detail_01.jpg" decoding="async" width="220" height="146" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Adventuress_-_on_deck_-_detail_01.jpg/330px-Adventuress_-_on_deck_-_detail_01.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Adventuress_-_on_deck_-_detail_01.jpg/440px-Adventuress_-_on_deck_-_detail_01.jpg 2x" data-file-width="4288" data-file-height="2848" /></a><figcaption>Carrick mats on schooner <i>Adventuress</i>, used to protect woodwork from the blocks when the lines are slack.</figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><table class="infobox" style="width:16em;"><tbody><tr><th colspan="2" class="infobox-above" style="background:#ffff99">8<sub>18</sub> knot</th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:8crossing-symmetrical.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/8crossing-symmetrical.svg/220px-8crossing-symmetrical.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/8crossing-symmetrical.svg/330px-8crossing-symmetrical.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/92/8crossing-symmetrical.svg/440px-8crossing-symmetrical.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span><div class="infobox-caption">Basic seamless form</div></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Arf_invariant_of_a_knot" title="Arf invariant of a knot">Arf invariant</a></th><td class="infobox-data">1</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Braid_length" class="mw-redirect" title="Braid length">Braid length</a></th><td class="infobox-data">8</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Braid_number" class="mw-redirect" title="Braid number">Braid no.</a></th><td class="infobox-data">3</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Bridge_number" title="Bridge number">Bridge no.</a></th><td class="infobox-data">3</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Crosscap_number" title="Crosscap number">Crosscap no.</a></th><td class="infobox-data">4</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Crossing_number_(knot_theory)" title="Crossing number (knot theory)">Crossing no.</a></th><td class="infobox-data">8</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Knot_genus" class="mw-redirect" title="Knot genus">Genus</a></th><td class="infobox-data">3</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Hyperbolic_volume" title="Hyperbolic volume">Hyperbolic volume</a></th><td class="infobox-data">12.35090621</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Unknotting_number" title="Unknotting number">Unknotting no.</a></th><td class="infobox-data">2</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Conway_notation_(knot_theory)" title="Conway notation (knot theory)">Conway notation</a></th><td class="infobox-data">[8*]</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Knot_theory#Alexander–Briggs_notation" title="Knot theory">A–B notation</a></th><td class="infobox-data">8<sub>18</sub></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Dowker_notation" class="mw-redirect" title="Dowker notation">Dowker notation</a></th><td class="infobox-data">6, 8, 10, 12, 14, 16, 2, 4</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Dowker%E2%80%93Thistlethwaite_notation" title="Dowker–Thistlethwaite notation">D–T notation</a></th><td class="infobox-data">8a12</td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/List_of_mathematical_knots_and_links" title="List of mathematical knots and links">Last /<span class="nowrap"> </span>Next</a></th><td class="infobox-data"><a href="/w/index.php?title=8_17_knot&action=edit&redlink=1" class="new" title="8 17 knot (page does not exist)">8<sub>17</sub></a> / <a href="/wiki/8_19_knot" class="mw-redirect" title="8 19 knot">8<sub>19</sub></a></td></tr><tr><th colspan="2" class="infobox-header">Other</th></tr><tr><td colspan="2" class="infobox-full-data"><a href="/wiki/Alternating_knot" title="Alternating knot">alternating</a>, <a href="/wiki/Prime_knot" title="Prime knot">prime</a>, <a href="/wiki/Fibered_knot" title="Fibered knot">fibered</a>, <a href="/wiki/Prime_knot" title="Prime knot">prime</a>, <a href="/wiki/Fully_amphichiral_knot" class="mw-redirect" title="Fully amphichiral knot">fully amphichiral</a></td></tr></tbody></table> <p>The <b>carrick mat</b> is a flat woven decorative <a href="/wiki/Knot" title="Knot">knot</a> which can be used as a mat or pad.<sup id="cite_ref-budult_1-0" class="reference"><a href="#cite_note-budult-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Its name is based on the mat's decorative-type <a href="/wiki/Carrick_bend#Decorative_uses" title="Carrick bend">carrick bend</a> with the ends connected together, forming an <a href="/wiki/Endless_knot" title="Endless knot">endless knot</a>. A larger form, called the <b>prolong knot</b>, is made by expanding the basic carrick mat by extending, twisting, and overlapping its outer <a href="/wiki/Bight_(knot)" title="Bight (knot)">bights</a>, then weaving the free ends through them. This process may be repeated to produce an arbitrarily long mat.<sup id="cite_ref-ashley362_2-0" class="reference"><a href="#cite_note-ashley362-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>In its basic form it is the same as a 3-lead, 4-bight <a href="/wiki/Turk%27s_head_knot" title="Turk's head knot">Turk's head knot</a>.<sup id="cite_ref-pawpock_3-0" class="reference"><a href="#cite_note-pawpock-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> The basic carrick mat, made with two passes of rope, also forms the central motif in the <a href="/wiki/Logo" title="Logo">logo</a> of the <a href="/wiki/International_Guild_of_Knot_Tyers" title="International Guild of Knot Tyers">International Guild of Knot Tyers</a>.<sup id="cite_ref-igktlogo_4-0" class="reference"><a href="#cite_note-igktlogo-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>When tied to form a cylinder around the central opening, instead of lying flat, it can be used as a <a href="/wiki/Woggle" title="Woggle">woggle</a>. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Carrick_mat&action=edit&section=1" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_knots" title="List of knots">List of knots</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Carrick_mat&action=edit&section=2" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-budult-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-budult_1-0">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFBudworth1999" class="citation book cs1">Budworth, Geoffrey (1999). <i>The Ultimate Encyclopedia of Knots & Ropework</i>. London: Hermes House. p. 227.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Ultimate+Encyclopedia+of+Knots+%26+Ropework&rft.place=London&rft.pages=227&rft.pub=Hermes+House&rft.date=1999&rft.aulast=Budworth&rft.aufirst=Geoffrey&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACarrick+mat" class="Z3988"></span></span> </li> <li id="cite_note-ashley362-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-ashley362_2-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAshley1944" class="citation book cs1">Ashley, Clifford W. (1944). <i>The Ashley Book of Knots</i>. New York: Doubleday. pp. 362–363.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Ashley+Book+of+Knots&rft.place=New+York&rft.pages=362-363&rft.pub=Doubleday&rft.date=1944&rft.aulast=Ashley&rft.aufirst=Clifford+W.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACarrick+mat" class="Z3988"></span></span> </li> <li id="cite_note-pawpock-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-pawpock_3-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPawson2002" class="citation book cs1">Pawson, Des (2002). <i>Pocket Guide to Knots & Splices</i>. Edison, NJ: Chartwell Books. p. 133.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Pocket+Guide+to+Knots+%26+Splices&rft.place=Edison%2C+NJ&rft.pages=133&rft.pub=Chartwell+Books&rft.date=2002&rft.aulast=Pawson&rft.aufirst=Des&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACarrick+mat" class="Z3988"></span></span> </li> <li id="cite_note-igktlogo-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-igktlogo_4-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110425043555/http://igkt.net/publications/index.php">"IGKT Publications"</a>. International Guild of Knot Tyers. Archived from <a rel="nofollow" class="external text" href="http://www.igkt.net/publications/index.php">the original</a> on 2011-04-25<span class="reference-accessdate">. Retrieved <span class="nowrap">2011-03-22</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=IGKT+Publications&rft.pub=International+Guild+of+Knot+Tyers&rft_id=http%3A%2F%2Fwww.igkt.net%2Fpublications%2Findex.php&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACarrick+mat" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Carrick_mat&action=edit&section=3" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>"<a rel="nofollow" class="external text" href="https://katlas.org/wiki/8_18">8_18</a>", <i><a href="/wiki/The_Knot_Atlas" title="The Knot Atlas">The Knot Atlas</a></i>.</li></ul> <div class="navbox-styles"><style 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class="mw-redirect" title="Loop (knot)">Loop</a></li> <li><a href="/wiki/Turn_(knot)" title="Turn (knot)">Turn</a></li> <li><a href="/wiki/List_of_knots" title="List of knots">List of knots</a></li> <li><a href="/wiki/List_of_knot_terminology" title="List of knot terminology">List of knot terminology</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="By_type" style="font-size:114%;margin:0 4em">By type</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_bend_knots" class="mw-redirect" title="List of bend knots">Bends</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Adjustable_bend" title="Adjustable bend">Adjustable</a></li> <li><a href="/wiki/Albright_special" title="Albright special">Albright special</a></li> <li><a href="/wiki/Ashley%27s_bend" title="Ashley's bend">Ashley's</a></li> <li><a href="/wiki/Butterfly_bend" title="Butterfly bend">Alpine butterfly</a></li> <li><a href="/wiki/Basket_weave_knot" title="Basket weave knot">Basket weave</a></li> <li><a href="/wiki/Beer_knot" title="Beer knot">Beer</a></li> <li><a href="/wiki/Blood_knot" title="Blood knot">Blood</a></li> <li><a href="/wiki/Carrick_bend" title="Carrick bend">Carrick</a></li> <li><a href="/wiki/Double_fisherman%27s_knot" title="Double fisherman's knot">Double fisherman's</a></li> <li><a href="/wiki/Fisherman%27s_knot" title="Fisherman's knot">Fisherman's</a></li> <li><a href="/wiki/Flemish_bend" title="Flemish bend">Flemish</a></li> <li><a href="/wiki/Grief_knot" title="Grief knot">Grief</a></li> <li><a href="/wiki/Halyard_bend" title="Halyard bend">Halyard</a></li> <li><a href="/wiki/Harness_bend" title="Harness bend">Harness</a></li> <li><a href="/wiki/Heaving_line_bend" title="Heaving line bend">Heaving line</a></li> <li><a href="/wiki/Hunter%27s_bend" title="Hunter's bend">Hunter's</a></li> <li><a href="/wiki/Nail_knot" title="Nail knot">Nail</a></li> <li><a href="/wiki/One-sided_overhand_bend" class="mw-redirect" title="One-sided overhand bend">One-sided overhand</a></li> <li><a href="/wiki/Racking_bend" title="Racking bend">Racking</a></li> <li><a href="/wiki/Sheet_bend" title="Sheet bend">Sheet</a></li> <li><a href="/wiki/Shoelace_knot" title="Shoelace knot">Shoelace</a></li> <li><a href="/wiki/Shroud_knot" title="Shroud knot">Shroud</a></li> <li><a href="/wiki/Simple_Simon_under" title="Simple Simon under">Simple Simon under</a></li> <li><a href="/wiki/Single_carrick_bend" title="Single carrick bend">Single carrick</a></li> <li><a href="/wiki/Surgeon%27s_knot" title="Surgeon's knot">Surgeon's</a></li> <li><a href="/wiki/Surgeon%27s_loop" title="Surgeon's loop">Surgeon's loop</a></li> <li><a href="/wiki/Triple_fisherman%27s_knot" title="Triple fisherman's knot">Triple fisherman's</a></li> <li><a href="/wiki/True_lover%27s_knot" title="True lover's knot">True lover's</a></li> <li><a href="/wiki/Water_knot" title="Water knot">Water</a></li> <li><a href="/wiki/Zeppelin_bend" title="Zeppelin bend">Zeppelin</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_binding_knots" title="List of binding knots">Binding</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Boa_knot" title="Boa knot">Boa</a></li> <li><a href="/wiki/Bottle_sling" title="Bottle sling">Bottle sling</a></li> <li><a href="/wiki/Constrictor_knot" title="Constrictor knot">Constrictor</a></li> <li><a href="/wiki/Corned_beef_knot" title="Corned beef knot">Corned beef</a></li> <li><a href="/wiki/Granny_knot" title="Granny knot">Granny</a></li> <li><a href="/wiki/Ground-line_hitch" title="Ground-line hitch">Ground-line hitch</a></li> <li><a href="/wiki/Jamming_knot" title="Jamming knot">Jamming</a></li> <li><a href="/wiki/Miller%27s_knot" title="Miller's knot">Miller's</a></li> <li><a href="/wiki/Packer%27s_knot" title="Packer's knot">Packer's</a></li> <li><a href="/wiki/Reef_knot" title="Reef knot">Reef</a></li> <li><a href="/wiki/Strangle_knot" title="Strangle knot">Strangle</a></li> <li><a href="/wiki/Thief_knot" title="Thief knot">Thief</a></li> <li><a href="/wiki/Transom_knot" title="Transom knot">Transom</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_climbing_knots" title="List of climbing knots">Climbing</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Autoblock" title="Autoblock">Autoblock</a></li> <li><a href="/wiki/Bachmann_knot" title="Bachmann knot">Bachmann</a></li> <li><a href="/wiki/Beer_knot" title="Beer knot">Beer</a></li> <li><a href="/wiki/Bowline_on_a_bight" title="Bowline on a bight">Bowline on a bight</a></li> <li><a href="/wiki/Butterfly_loop" title="Butterfly loop">Alpine butterfly</a></li> <li><a href="/wiki/Directional_figure_eight" title="Directional figure eight">Directional figure eight</a></li> <li><a href="/wiki/Double_bowline" title="Double bowline">Double bowline</a></li> <li><a href="/wiki/Farmer%27s_loop" title="Farmer's loop">Farmer's loop</a></li> <li><a href="/wiki/Figure-eight_knot" title="Figure-eight knot">Figure-eight</a></li> <li><a href="/wiki/Figure-eight_loop" title="Figure-eight loop">Figure-eight loop</a></li> <li><a href="/wiki/Figure-of-nine_loop" title="Figure-of-nine loop">Figure-of-nine loop</a></li> <li><a href="/wiki/List_of_friction_hitch_knots" title="List of friction hitch knots">Friction hitch</a></li> <li><a href="/wiki/Klemheist_knot" title="Klemheist knot">Klemheist</a></li> <li><a href="/wiki/Munter_hitch" title="Munter hitch">Munter hitch</a></li> <li><a href="/wiki/Noose" title="Noose">Noose</a></li> <li><a href="/wiki/Overhand_loop" title="Overhand loop">Overhand loop</a></li> <li><a href="/wiki/Prusik" title="Prusik">Prusik</a></li> <li><a href="/wiki/Trident_loop" title="Trident loop">Trident loop</a></li> <li><a href="/wiki/Yosemite_bowline" title="Yosemite bowline">Yosemite bowline</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Coiling" title="Coiling">Coils</a> &<br /> shanks</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chain_sinnet" title="Chain sinnet">Chain sinnet</a></li> <li><a href="/wiki/Sheepshank" title="Sheepshank">Sheepshank</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_decorative_knots" class="mw-redirect" title="List of decorative knots">Decorative</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a class="mw-selflink selflink">Carrick mat</a></li> <li><a href="/wiki/Chinese_button_knot" title="Chinese button knot">Chinese button</a></li> <li><a href="/wiki/Celtic_button_knot" title="Celtic button knot">Celtic button</a></li> <li><a href="/wiki/Diamond_knot" title="Diamond knot">Diamond</a></li> <li><a href="/wiki/Fiador_knot" title="Fiador knot">Fiador</a></li> <li><a href="/wiki/Friendship_knot" title="Friendship knot">Friendship</a></li> <li><a href="/wiki/Knotted-pile_carpet" title="Knotted-pile carpet">Ghiordes & Senneh</a></li> <li><a href="/wiki/Matthew_Walker_knot" title="Matthew Walker knot">Matthew Walker</a></li> <li><a href="/wiki/Turk%27s_head_knot" title="Turk's head knot">Turk's head</a></li> <li><a href="/wiki/Wall_and_crown_knot" title="Wall and crown knot">Wall and crown</a> (triple crown knot)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Angling" title="Angling">Fishing <br />(angling)</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Angler%27s_loop" title="Angler's loop">Angler's loop</a></li> <li><a href="/wiki/Arbor_knot" title="Arbor knot">Arbor</a></li> <li><a href="/wiki/Bimini_twist" title="Bimini twist">Bimini twist</a></li> <li><a href="/wiki/Blood_knot" title="Blood knot">Blood</a></li> <li><a href="/wiki/Fisherman%27s_knot" title="Fisherman's knot">Fisherman's</a></li> <li><a href="/wiki/Improved_clinch_knot" title="Improved clinch knot">Improved clinch</a></li> <li><a href="/wiki/Knotless_knot" title="Knotless knot">Knotless</a></li> <li><a href="/wiki/Nail_knot" title="Nail knot">Nail</a></li> <li><a href="/wiki/Palomar_knot" title="Palomar knot">Palomar</a></li> <li><a href="/wiki/Snell_knot" title="Snell knot">Snell</a></li> <li><a href="/wiki/Trilene_knot" title="Trilene knot">Trilene</a></li> <li><a href="/wiki/Triple_fisherman%27s_knot" title="Triple fisherman's knot">Triple fisherman's</a></li> <li><a href="/wiki/Turle_knot" title="Turle knot">Turle</a></li> <li><a href="/wiki/Uni_knot" title="Uni knot">Uni</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_hitch_knots" class="mw-redirect" title="List of hitch knots">Hitches</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Adjustable_grip_hitch" title="Adjustable grip hitch">Adjustable grip</a></li> <li><a href="/wiki/Anchor_bend" title="Anchor bend">Anchor bend</a></li> <li><a href="/wiki/Axle_hitch" title="Axle hitch">Axle</a></li> <li><a href="/wiki/Bachmann_knot" title="Bachmann knot">Bachmann</a></li> <li><a href="/wiki/Bale_sling_hitch" title="Bale sling hitch">Bale sling</a></li> <li><a href="/wiki/Barrel_hitch" title="Barrel hitch">Barrel</a></li> <li><a href="/wiki/Becket_hitch" title="Becket hitch">Becket</a></li> <li><a href="/wiki/Blackwall_hitch" title="Blackwall hitch">Blackwall</a></li> <li><a href="/wiki/Blake%27s_hitch" title="Blake's hitch">Blake's</a></li> <li><a href="/wiki/Boom_hitch" title="Boom hitch">Boom</a></li> <li><a href="/wiki/Buntline_hitch" title="Buntline hitch">Buntline</a></li> <li><a href="/wiki/Cat%27s_paw_(knot)" title="Cat's paw (knot)">Cat's paw</a></li> <li><a href="/wiki/Clove_hitch" title="Clove hitch">Clove</a></li> <li><a href="/wiki/Cow_hitch" title="Cow hitch">Cow</a></li> <li><a href="/wiki/Distel_hitch" title="Distel hitch">Distel</a></li> <li><a href="/wiki/Double_overhand_noose" title="Double overhand noose">Double overhand noose</a></li> <li><a href="/wiki/Falconer%27s_knot" title="Falconer's knot">Falconer's</a></li> <li><a href="/wiki/Farrimond_friction_hitch" title="Farrimond friction hitch">Farrimond friction</a></li> <li><a href="/wiki/List_of_friction_hitch_knots" title="List of friction hitch knots">Friction hitch</a></li> <li><a href="/wiki/Garda_hitch" title="Garda hitch">Garda</a></li> <li><a href="/wiki/Ground-line_hitch" title="Ground-line hitch">Ground-line</a></li> <li><a href="/wiki/Half_hitch" title="Half hitch">Half</a></li> <li><a href="/wiki/Halter_hitch" title="Halter hitch">Halter</a></li> <li><a href="/wiki/Highpoint_hitch" title="Highpoint hitch">Highpoint</a></li> <li><a href="/wiki/Highwayman%27s_hitch" title="Highwayman's hitch">Highwayman's</a></li> <li><a href="/wiki/Hitching_tie" title="Hitching tie">Hitching tie</a></li> <li><a href="/wiki/Icicle_hitch" title="Icicle hitch">Icicle</a></li> <li><a href="/wiki/Improved_clinch_knot" title="Improved clinch knot">Improved clinch</a></li> <li><a href="/wiki/Killick_hitch" title="Killick hitch">Killick</a></li> <li><a href="/wiki/Knute_hitch" title="Knute hitch">Knute</a></li> <li><a href="/wiki/Lobster_buoy_hitch" title="Lobster buoy hitch">Lobster buoy</a></li> <li><a href="/wiki/Marlinespike_hitch" title="Marlinespike hitch">Marlinespike</a></li> <li><a href="/wiki/Munter_hitch" title="Munter hitch">Munter</a></li> <li><a href="/wiki/Ossel_hitch" title="Ossel hitch">Ossel</a></li> <li><a href="/wiki/Pile_hitch" title="Pile hitch">Pile</a></li> <li><a href="/wiki/Pipe_hitch" title="Pipe hitch">Pipe</a></li> <li><a href="/wiki/Sailor%27s_hitch" title="Sailor's hitch">Sailor's</a></li> <li><a href="/wiki/Snuggle_hitch" title="Snuggle hitch">Snuggle</a></li> <li><a href="/wiki/Swing_hitch" title="Swing hitch">Swing</a></li> <li><a href="/wiki/Taut-line_hitch" title="Taut-line hitch">Taut-line</a></li> <li><a href="/wiki/Timber_hitch" title="Timber hitch">Timber</a></li> <li><a href="/wiki/Trucker%27s_hitch" title="Trucker's hitch">Trucker's</a></li> <li><a href="/wiki/Tumble_hitch" title="Tumble hitch">Tumble</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Loop_(knot)" class="mw-redirect" title="Loop (knot)">Loop</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Angler%27s_loop" title="Angler's loop">Angler's</a></li> <li><a href="/wiki/Artillery_loop" title="Artillery loop">Artillery loop</a></li> <li><a href="/wiki/Bale_sling_hitch" title="Bale sling hitch">Bale sling hitch</a></li> <li><a href="/wiki/Bowline" title="Bowline">Bowline</a></li> <li><a href="/wiki/Bumper_knot" title="Bumper knot">Bumper</a></li> <li><a href="/wiki/Carrick_bend_loop" title="Carrick bend loop">Carrick bend loop</a></li> <li><a href="/wiki/Cossack_knot" class="mw-redirect" title="Cossack knot">Cossack</a></li> <li><a href="/wiki/Cowboy_bowline" title="Cowboy bowline">Cowboy bowline</a></li> <li><a href="/wiki/Diamond_knot" title="Diamond knot">Diamond</a></li> <li><a href="/wiki/Double_bowline" title="Double bowline">Double bowline</a></li> <li><a href="/wiki/Dropper_loop" title="Dropper loop">Dropper loop</a></li> <li><a href="/wiki/Eskimo_bowline" title="Eskimo bowline">Eskimo bowline</a></li> <li><a href="/wiki/Fiador_knot" title="Fiador knot">Fiador</a></li> <li><a href="/wiki/Fireman%27s_chair_knot" title="Fireman's chair knot">Fireman's chair</a></li> <li><a href="/wiki/Friendship_knot_loop" title="Friendship knot loop">Friendship knot</a></li> <li><a href="/wiki/Halter_hitch" title="Halter hitch">Halter hitch</a></li> <li><a href="/wiki/Handcuff_knot" title="Handcuff knot">Handcuff</a></li> <li><a href="/wiki/Honda_knot" title="Honda knot">Honda</a></li> <li><a href="/wiki/Jury_mast_knot" title="Jury mast knot">Jury mast</a></li> <li><a href="/wiki/Overhand_loop" title="Overhand loop">Overhand</a></li> <li><a href="/wiki/Portuguese_bowline" title="Portuguese bowline">Portuguese bowline</a></li> <li><a href="/wiki/Rigid_double_splayed_loop_in_the_bight" title="Rigid double splayed loop in the bight">Rigid double splayed loop in the bight</a></li> <li><a href="/wiki/Slippery_eight_loop" title="Slippery eight loop">Slippery eight</a></li> <li><a href="/wiki/Span_loop" title="Span loop">Span</a></li> <li><a href="/wiki/Spanish_bowline" title="Spanish bowline">Spanish bowline</a></li> <li><a href="/wiki/Tom_fool%27s_knot" title="Tom fool's knot">Tom fool's</a></li> <li><a href="/wiki/Trident_loop" title="Trident loop">Trident</a></li> <li><a href="/wiki/Triple_bowline" title="Triple bowline">Triple bowline</a></li> <li><a href="/wiki/Water_bowline" title="Water bowline">Water bowline</a></li> <li><a href="/wiki/Yosemite_bowline" title="Yosemite bowline">Yosemite bowline</a></li> <li><a href="/wiki/Zeppelin_loop" title="Zeppelin loop">Zeppelin</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Slip_knot" title="Slip knot">Running<br /> (slip)</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Hangman%27s_knot" title="Hangman's knot">Hangman's</a></li> <li><a href="/wiki/Running_bowline" title="Running bowline">Running bowline</a></li> <li>Running highwayman's hitch</li> <li><a href="/wiki/Tarbuck_knot" title="Tarbuck knot">Tarbuck</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Rope_splicing" title="Rope splicing">Splices</a> &<br /> splicing</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Eye_splice" title="Eye splice">Eye</a></li> <li><a href="/wiki/Fid" title="Fid">Fid</a></li> <li><a href="/wiki/Marlinspike" title="Marlinspike">Marlinspike</a></li> <li><a href="/wiki/Rat-tail_splice" title="Rat-tail splice">Rat-tail</a></li> <li><a href="/wiki/T-splice" title="T-splice">T</a></li> <li><a href="/wiki/Western_Union_splice" title="Western Union splice">Western Union</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Stopper_knot" title="Stopper knot">Stopper</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ashley%27s_stopper_knot" title="Ashley's stopper knot">Ashley's stopper</a></li> <li><a href="/wiki/Button_knot" title="Button knot">Button</a></li> <li><a href="/wiki/Double_overhand_knot" title="Double overhand knot">Double overhand</a></li> <li><a href="/wiki/Figure-eight_knot" title="Figure-eight knot">Figure-eight knot</a></li> <li><a href="/wiki/Monkey%27s_fist" title="Monkey's fist">Monkey's fist</a></li> <li><a href="/wiki/Overhand_knot" title="Overhand knot">Overhand</a></li> <li><a href="/wiki/Stevedore_knot" title="Stevedore knot">Stevedore</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Whipping_knot" title="Whipping knot">Whipping</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Common_whipping" title="Common whipping">Common</a></li> <li><a href="/wiki/Overhand_knot_with_draw-loop" title="Overhand knot with draw-loop">Overhand knot with draw-loop</a></li> <li><a href="/wiki/Portuguese_whipping" class="mw-redirect" title="Portuguese whipping">Portuguese</a></li> <li><a href="/wiki/Sailmaker%27s_whipping" title="Sailmaker's whipping">Sailmaker's</a></li> <li><a href="/wiki/West_Country_whipping" title="West Country whipping">West Country</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Lists_of_knotsRelated_topics" style="font-size:114%;margin:0 4em"><div class="hlist"><ul><li>Lists of knots</li><li>Related topics</li></ul></div></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Lists of knots</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_bend_knots" class="mw-redirect" title="List of bend knots">Bends</a></li> <li><a href="/wiki/List_of_binding_knots" title="List of binding knots">Bindings</a></li> <li><a href="/wiki/List_of_decorative_knots" class="mw-redirect" title="List of decorative knots">Decorative knots</a></li> <li><a href="/wiki/List_of_hitch_knots" class="mw-redirect" title="List of hitch knots">Hitches</a> (<a href="/wiki/List_of_friction_hitch_knots" title="List of friction hitch knots">friction</a>)</li> <li><a href="/wiki/List_of_mathematical_knots_and_links" title="List of mathematical knots and links">Mathematical</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related topics</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chinese_knotting" title="Chinese knotting">Chinese knotting</a></li> <li><a href="/wiki/Knot_density" title="Knot density">Density</a></li> <li><a href="/wiki/History_of_knotting" class="mw-redirect" title="History of knotting">History</a></li> <li><a href="/wiki/International_Guild_of_Knot_Tyers" title="International Guild of Knot Tyers">International Guild of Knot Tyers</a></li> <li><a href="/wiki/Macram%C3%A9" title="Macramé">Macramé</a></li> <li><i><a href="/wiki/Mizuhiki" title="Mizuhiki">Mizuhiki</a></i></li> <li><i><a href="/wiki/Norigae" title="Norigae">Norigae</a></i></li> <li><a href="/wiki/Ropework" title="Ropework">Ropework</a> <ul><li><a href="/wiki/Lashing_(ropework)" title="Lashing (ropework)">Lashing</a></li> <li><a href="/wiki/Rope_splicing" title="Rope splicing">Splicing</a></li> <li><a href="/wiki/Seizing" title="Seizing">Seizing</a></li></ul></li> <li><a href="/wiki/Sennit" title="Sennit">Sennit</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2" style="font-weight:bold;padding-bottom:0.3em;"><div> <ul><li> <span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Knots" title="Category:Knots">Category</a></li> <li> <span class="noviewer" typeof="mw:File"><span title="WikiProject"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/16px-People_icon.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/24px-People_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/37/People_icon.svg/32px-People_icon.svg.png 2x" data-file-width="100" data-file-height="100" /></span></span> <a href="/wiki/Wikipedia:WikiProject_Knots" title="Wikipedia:WikiProject Knots">WikiProject</a></li> <li> <span style="position:relative; bottom:1px;"><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></span> <a href="https://commons.wikimedia.org/wiki/Category:Knots" class="extiw" title="commons:Category:Knots">Commons</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Knot_theory_(knots_and_links)" style="padding:3px"><table class="nowraplinks hlist mw-collapsible mw-collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Knot_theory" title="Template:Knot theory"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Knot_theory" title="Template talk:Knot theory"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Knot_theory" title="Special:EditPage/Template:Knot theory"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Knot_theory_(knots_and_links)" style="font-size:114%;margin:0 4em"><a href="/wiki/Knot_theory" title="Knot theory">Knot theory</a> (<a href="/wiki/Knot_(mathematics)" title="Knot (mathematics)">knots</a> and <a href="/wiki/Link_(knot_theory)" title="Link (knot theory)">links</a>)</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Hyperbolic_link" title="Hyperbolic link">Hyperbolic</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Figure-eight_knot_(mathematics)" title="Figure-eight knot (mathematics)">Figure-eight</a> (4<sub>1</sub>)</li> <li><a href="/wiki/Three-twist_knot" title="Three-twist knot">Three-twist</a> (5<sub>2</sub>)</li> <li><a href="/wiki/Stevedore_knot_(mathematics)" title="Stevedore knot (mathematics)">Stevedore</a> (6<sub>1</sub>)</li> <li><a href="/wiki/6%E2%82%82_knot" class="mw-redirect" title="6₂ knot">6<sub>2</sub></a></li> <li><a href="/wiki/6%E2%82%83_knot" class="mw-redirect" title="6₃ knot">6<sub>3</sub></a></li> <li><a href="/wiki/7%E2%82%84_knot" class="mw-redirect" title="7₄ knot">Endless</a> (7<sub>4</sub>)</li> <li><a class="mw-selflink selflink">Carrick mat</a> (8<sub>18</sub>)</li> <li><a href="/wiki/Perko_pair" title="Perko pair">Perko pair</a> (10<sub>161</sub>)</li> <li><a href="/wiki/Conway_knot" title="Conway knot">Conway knot</a> (11n34)</li> <li><a href="/wiki/Kinoshita%E2%80%93Terasaka_knot" title="Kinoshita–Terasaka knot">Kinoshita–Terasaka knot</a> (11n42)</li> <li><a href="/wiki/(%E2%88%922,3,7)_pretzel_knot" title="(−2,3,7) pretzel knot">(−2,3,7) pretzel</a> (12n242)</li> <li><a href="/wiki/Whitehead_link" title="Whitehead link">Whitehead</a> (5<span class="nowrap"><span style="display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;line-height:1.2em;font-size:80%;text-align:left"><sup style="font-size:inherit;line-height:inherit;vertical-align:baseline">2</sup><br /><sub style="font-size:inherit;line-height:inherit;vertical-align:baseline">1</sub></span></span>)</li> <li><a href="/wiki/Borromean_rings" title="Borromean rings">Borromean rings</a> (6<span class="nowrap"><span style="display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;line-height:1.2em;font-size:80%;text-align:left"><sup style="font-size:inherit;line-height:inherit;vertical-align:baseline">3</sup><br /><sub style="font-size:inherit;line-height:inherit;vertical-align:baseline">2</sub></span></span>)</li> <li><a href="/wiki/L10a140_link" title="L10a140 link">L10a140</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Satellite_knot" title="Satellite knot">Satellite</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Composite_knot" class="mw-redirect" title="Composite knot">Composite knots</a> <ul><li><a href="/wiki/Granny_knot_(mathematics)" title="Granny knot (mathematics)">Granny</a></li> <li><a href="/wiki/Square_knot_(mathematics)" title="Square knot (mathematics)">Square</a></li></ul></li> <li><a href="/wiki/Knot_sum" class="mw-redirect" title="Knot sum">Knot sum</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Torus_knot" title="Torus knot">Torus</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Unknot" title="Unknot">Unknot</a> (0<sub>1</sub>)</li> <li><a href="/wiki/Trefoil_knot" title="Trefoil knot">Trefoil</a> (3<sub>1</sub>)</li> <li><a href="/wiki/Cinquefoil_knot" title="Cinquefoil knot">Cinquefoil</a> (5<sub>1</sub>)</li> <li><a href="/wiki/7%E2%82%81_knot" class="mw-redirect" title="7₁ knot">Septafoil</a> (7<sub>1</sub>)</li> <li><a href="/wiki/Unlink" title="Unlink">Unlink</a> (0<span class="nowrap"><span style="display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;line-height:1.2em;font-size:80%;text-align:left"><sup style="font-size:inherit;line-height:inherit;vertical-align:baseline">2</sup><br /><sub style="font-size:inherit;line-height:inherit;vertical-align:baseline">1</sub></span></span>)</li> <li><a href="/wiki/Hopf_link" title="Hopf link">Hopf</a> (2<span class="nowrap"><span style="display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;line-height:1.2em;font-size:80%;text-align:left"><sup style="font-size:inherit;line-height:inherit;vertical-align:baseline">2</sup><br /><sub style="font-size:inherit;line-height:inherit;vertical-align:baseline">1</sub></span></span>)</li> <li><a href="/wiki/Solomon%27s_knot" title="Solomon's knot">Solomon's</a> (4<span class="nowrap"><span style="display:inline-block;margin-bottom:-0.3em;vertical-align:-0.4em;line-height:1.2em;font-size:80%;text-align:left"><sup style="font-size:inherit;line-height:inherit;vertical-align:baseline">2</sup><br /><sub style="font-size:inherit;line-height:inherit;vertical-align:baseline">1</sub></span></span>)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Knot_invariant" title="Knot invariant">Invariants</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Alternating_knot" title="Alternating knot">Alternating</a></li> <li><a href="/wiki/Arf_invariant_of_a_knot" title="Arf invariant of a knot">Arf invariant</a></li> <li><a href="/wiki/Bridge_number" title="Bridge number">Bridge no.</a> <ul><li><a href="/wiki/2-bridge_knot" title="2-bridge knot">2-bridge</a></li></ul></li> <li><a href="/wiki/Brunnian_link" title="Brunnian link">Brunnian</a></li> <li><a href="/wiki/Chiral_knot" title="Chiral knot">Chirality</a> <ul><li><a href="/wiki/Invertible_knot" title="Invertible knot">Invertible</a></li></ul></li> <li><a href="/wiki/Crosscap_number" title="Crosscap number">Crosscap no.</a></li> <li><a href="/wiki/Crossing_number_(knot_theory)" title="Crossing number (knot theory)">Crossing no.</a></li> <li><a href="/wiki/Finite_type_invariant" title="Finite type invariant">Finite type invariant</a></li> <li><a href="/wiki/Hyperbolic_volume" title="Hyperbolic volume">Hyperbolic volume</a></li> <li><a href="/wiki/Khovanov_homology" title="Khovanov homology">Khovanov homology</a></li> <li><a href="/wiki/Knot_genus" class="mw-redirect" title="Knot genus">Genus</a></li> <li><a href="/wiki/Knot_group" title="Knot group">Knot group</a></li> <li><a href="/wiki/Link_group" title="Link group">Link group</a></li> <li><a href="/wiki/Linking_number" title="Linking number">Linking no.</a></li> <li><a href="/wiki/Knot_polynomial" title="Knot polynomial">Polynomial</a> <ul><li><a href="/wiki/Alexander_polynomial" title="Alexander polynomial">Alexander</a></li> <li><a href="/wiki/Bracket_polynomial" title="Bracket polynomial">Bracket</a></li> <li><a href="/wiki/HOMFLY_polynomial" title="HOMFLY polynomial">HOMFLY</a></li> <li><a href="/wiki/Jones_polynomial" title="Jones polynomial">Jones</a></li> <li><a href="/wiki/Kauffman_polynomial" title="Kauffman polynomial">Kauffman</a></li></ul></li> <li><a href="/wiki/Pretzel_link" title="Pretzel link">Pretzel</a></li> <li><a href="/wiki/Prime_knot" title="Prime knot">Prime</a> <ul><li><a href="/wiki/List_of_prime_knots" title="List of prime knots">list</a></li></ul></li> <li><a href="/wiki/Stick_number" title="Stick number">Stick no.</a></li> <li><a href="/wiki/Tricolorability" title="Tricolorability">Tricolorability</a></li> <li><a href="/wiki/Unknotting_number" title="Unknotting number">Unknotting no.</a> and <a href="/wiki/Unknotting_problem" title="Unknotting problem">problem</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Notation<br />and <a href="/wiki/Knot_operation" title="Knot operation">operations</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Alexander%E2%80%93Briggs_notation" class="mw-redirect" title="Alexander–Briggs notation">Alexander–Briggs notation</a></li> <li><a href="/wiki/Conway_notation_(knot_theory)" title="Conway notation (knot theory)">Conway notation</a></li> <li><a href="/wiki/Dowker%E2%80%93Thistlethwaite_notation" title="Dowker–Thistlethwaite notation">Dowker–Thistlethwaite notation</a></li> <li><a href="/wiki/Flype" title="Flype">Flype</a></li> <li><a href="/wiki/Mutation_(knot_theory)" title="Mutation (knot theory)">Mutation</a></li> <li><a href="/wiki/Reidemeister_move" title="Reidemeister move">Reidemeister move</a></li> <li><a href="/wiki/Skein_relation" title="Skein relation">Skein relation</a></li> <li><a href="/wiki/Knot_tabulation" title="Knot tabulation">Tabulation</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Alexander%27s_theorem" title="Alexander's theorem">Alexander's theorem</a></li> <li><a href="/wiki/Berge_knot" title="Berge knot">Berge</a></li> <li><a href="/wiki/Braid_theory" class="mw-redirect" title="Braid theory">Braid theory</a></li> <li><a href="/wiki/Conway_sphere" title="Conway sphere">Conway sphere</a></li> <li><a href="/wiki/Knot_complement" title="Knot complement">Complement</a></li> <li><a href="/wiki/Double_torus_knot" class="mw-redirect" title="Double torus knot">Double torus</a></li> <li><a href="/wiki/Fibered_knot" title="Fibered knot">Fibered</a></li> <li><a href="/wiki/Knot" title="Knot">Knot</a></li> <li><a href="/wiki/List_of_mathematical_knots_and_links" title="List of mathematical knots and links">List of knots and links</a></li> <li><a href="/wiki/Ribbon_knot" title="Ribbon knot">Ribbon</a></li> <li><a href="/wiki/Slice_knot" title="Slice knot">Slice</a></li> <li><a href="/wiki/Knot_sum" class="mw-redirect" title="Knot sum">Sum</a></li> <li><a href="/wiki/Tait_conjectures" title="Tait conjectures">Tait conjectures</a></li> <li><a href="/wiki/Twist_knot" title="Twist knot">Twist</a></li> <li><a href="/wiki/Wild_knot" title="Wild knot">Wild</a></li> <li><a href="/wiki/Writhe" title="Writhe">Writhe</a></li> <li><a href="/wiki/Surgery_theory" title="Surgery theory">Surgery theory</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" 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