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- Torus_knot abstract "In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of coprime integers p and q. A torus link arises if p and q are not coprime (in which case the number of components is gcd(p, q)). A torus knot is trivial (equivalent to the unknot) if and only if either p or q is equal to 1 or −1. The simplest nontrivial example is the (2,3)-torus knot, also known as the trefoil knot.".
- Torus_knot thumbnail TorusKnot3D.png?width=300.
- Torus_knot wikiPageExternalLink pqisqp.
- Torus_knot wikiPageExternalLink pqtorus.
- Torus_knot wikiPageExternalLink ?p=135.
- Torus_knot wikiPageID "1165182".
- Torus_knot wikiPageLength "9690".
- Torus_knot wikiPageOutDegree "53".
- Torus_knot wikiPageRevisionID "704499182".
- Torus_knot wikiPageWikiLink 3-sphere.
- Torus_knot wikiPageWikiLink 7₁_knot.
- Torus_knot wikiPageWikiLink Alexander_polynomial.
- Torus_knot wikiPageWikiLink Alternating_knot.
- Torus_knot wikiPageWikiLink Braid_group.
- Torus_knot wikiPageWikiLink Braid_theory.
- Torus_knot wikiPageWikiLink Category:Algebraic_topology.
- Torus_knot wikiPageWikiLink Category:Fibered_knots_and_links.
- Torus_knot wikiPageWikiLink Category:Torus_knots_and_links.
- Torus_knot wikiPageWikiLink Center_(group_theory).
- Torus_knot wikiPageWikiLink Chirality_(mathematics).
- Torus_knot wikiPageWikiLink Cinquefoil_knot.
- Torus_knot wikiPageWikiLink Coprime_integers.
- Torus_knot wikiPageWikiLink Critical_point_(mathematics).
- Torus_knot wikiPageWikiLink Crossing_number_(knot_theory).
- Torus_knot wikiPageWikiLink Cylindrical_coordinate_system.
- Torus_knot wikiPageWikiLink Dunce_hat_(topology).
- Torus_knot wikiPageWikiLink Euclidean_space.
- Torus_knot wikiPageWikiLink Greatest_common_divisor.
- Torus_knot wikiPageWikiLink Holomorphic_function.
- Torus_knot wikiPageWikiLink If_and_only_if.
- Torus_knot wikiPageWikiLink Integer.
- Torus_knot wikiPageWikiLink Irrational_winding_of_a_torus.
- Torus_knot wikiPageWikiLink John_Pardon.
- Torus_knot wikiPageWikiLink Jones_polynomial.
- Torus_knot wikiPageWikiLink Knot_(mathematics).
- Torus_knot wikiPageWikiLink Knot_group.
- Torus_knot wikiPageWikiLink Knot_theory.
- Torus_knot wikiPageWikiLink Link_(knot_theory).
- Torus_knot wikiPageWikiLink Mikhail_Leonidovich_Gromov.
- Torus_knot wikiPageWikiLink Morgan_Prize.
- Torus_knot wikiPageWikiLink Parametrization.
- Torus_knot wikiPageWikiLink Presentation_of_a_group.
- Torus_knot wikiPageWikiLink Prime_knot.
- Torus_knot wikiPageWikiLink Retract.
- Torus_knot wikiPageWikiLink Rotational_symmetry.
- Torus_knot wikiPageWikiLink Seifert_fiber_space.
- Torus_knot wikiPageWikiLink Seifert_surface.
- Torus_knot wikiPageWikiLink Stretch_factor.
- Torus_knot wikiPageWikiLink Torus.
- Torus_knot wikiPageWikiLink Trefoil_knot.
- Torus_knot wikiPageWikiLink Unknot.
- Torus_knot wikiPageWikiLink File:(2,4)-Torus_Link.svg.
- Torus_knot wikiPageWikiLink File:(3,_4)_torus_knot.svg.
- Torus_knot wikiPageWikiLink File:Eurelea.png.
- Torus_knot wikiPageWikiLink File:TorusKnot-3-8.png.
- Torus_knot wikiPageWikiLink File:TorusKnot3D.png.
- Torus_knot wikiPageWikiLink File:Trefoil_knot_left.svg.
- Torus_knot wikiPageWikiLinkText "Torus knot".
- Torus_knot wikiPageWikiLinkText "torus knot".
- Torus_knot title "Torus Knot".
- Torus_knot urlname "TorusKnot".
- Torus_knot wikiPageUsesTemplate Template:Distinguish.
- Torus_knot wikiPageUsesTemplate Template:Knot_Atlas.
- Torus_knot wikiPageUsesTemplate Template:Knot_theory.
- Torus_knot wikiPageUsesTemplate Template:MathWorld.
- Torus_knot wikiPageUsesTemplate Template:Reflist.
- Torus_knot subject Category:Algebraic_topology.
- Torus_knot subject Category:Fibered_knots_and_links.
- Torus_knot subject Category:Torus_knots_and_links.
- Torus_knot hypernym Kind.
- Torus_knot type Surface.
- Torus_knot type Thing.
- Torus_knot type Concept.
- Torus_knot comment "In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of coprime integers p and q. A torus link arises if p and q are not coprime (in which case the number of components is gcd(p, q)). A torus knot is trivial (equivalent to the unknot) if and only if either p or q is equal to 1 or −1.".
- Torus_knot label "Torus knot".
- Torus_knot differentFrom Torus.
- Torus_knot sameAs Q1892897.
- Torus_knot sameAs عقدة_طارة.
- Torus_knot sameAs Torusknoten.
- Torus_knot sameAs קשר_טורוס.
- Torus_knot sameAs Nodo_torico.
- Torus_knot sameAs トーラス結び目.
- Torus_knot sameAs Torusknoop.
- Torus_knot sameAs m.04crmh.
- Torus_knot sameAs Торический_узел.
- Torus_knot sameAs Q1892897.
- Torus_knot sameAs 环面纽结.
- Torus_knot wasDerivedFrom Torus_knot?oldid=704499182.
- Torus_knot depiction TorusKnot3D.png.
- Torus_knot isPrimaryTopicOf Torus_knot.