This article includes alist of references,related reading, orexternal links,but its sources remain unclear because it lacksinline citations. Please helpimprove this article byintroducing more precise citations.(February 2013) (Learn how and when to remove this message)

This article contains alist ofmathematical knots andlinks. See alsolist of knots,list of geometric topology topics.

• 0₁ knot/Unknot - a simple un-knotted closed loop
• 3₁ knot/Trefoil knot - (2,3)-torus knot, the two loose ends of a common overhand knot joined together
• 4₁ knot/Figure-eight knot (mathematics) - a prime knot with a crossing number four
• 5₁ knot/Cinquefoil knot, (5,2)-torus knot, Solomon's seal knot, pentafoil knot - a prime knot with crossing number five which can be arranged as a {5/2} star polygon (pentagram)
• 5₂ knot/Three-twist knot - the twist knot with three-half twists
• 6₁ knot/Stevedore knot (mathematics) - a prime knot with crossing number six, it can also be described as a twist knot with four twists
• 6₂ knot - a prime knot with crossing number six
• 6₃ knot - a prime knot with crossing number six
• 7₁ knot, septafoil knot, (7,2)-torus knot - a prime knot with crossing number seven, which can be arranged as a {7/2} star polygon (heptagram)
• 7₄ knot, "endless knot"
• 8₁₈ knot, "carrick mat"
• 10₁₆₁/10₁₆₂, known as thePerko pair; this was a single knot listed twice in Dale Rolfsen's knot table; the duplication was discovered by Kenneth Perko
• 12n242/(−2,3,7) pretzel knot
• (p,q)-torus knot - a special kind of knot that lies on the surface of an unknotted torus inR³

• Square knot (mathematics) - a composite knot obtained by taking the connected sum of a trefoil knot with its reflection
• Granny knot (mathematics) - a composite knot obtained by taking the connected sum of two identical trefoil knots

• 0²
  ₁ link/Unlink - equivalent under ambient isotopy to finitely many disjoint circles in the plane
• 2²
  ₁ link/Hopf link - the simplest nontrivial link with more than one component; it consists of two circles linked together exactly once (L2a1)
• 4²
  ₁ link/Solomon's knot (a two component "link" rather than a one component "knot") - a traditional decorative motif used since ancient times (L4a1)
• 5²
  ₁ link/Whitehead link - two projections of the unknot: one circular loop and one figure eight-shaped loop intertwined such that they are inseparable and neither loses its form (L5a1)
• Brunnian link - a nontrivial link that becomes trivial if any component is removed
• 6³
  ₂ link/Borromean rings - three topological circles which are linked and form a Brunnian link (L6a4)
• L10a140 link - presumably the simplest non-Borromean Brunnian link
• Pretzel link - aMontesinos link with integer tangles

• "Catalogue of all knots and links with 11 or fewer crossings (wiki)",The Knot Atlas.

• Lists of shapes
• Knot theory

• Articles with short description
• Short description is different from Wikidata
• Articles lacking in-text citations from February 2013
• All articles lacking in-text citations