List of mathematical knots and links

Image:Knot table.svg|thumb|350px|right|A table of all prime knots with seven crossings or fewer.
This article contains a list of mathematical knots and links. See also list of knots, list of geometric topology topics.

Knots

0₁ knot/Unknot - a simple un-knotted closed loop
3₁ knot/Trefoil knot - -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, -torus knot, Solomon's seal knot, pentafoil knot - a prime knot with crossing number five which can be arranged as a star polygon
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, -torus knot - a prime knot with crossing number seven, which can be arranged as a star polygon
7₄ knot, "endless knot"
8₁₈ knot, "carrick mat"
10₁₆₁/10₁₆₂, known as the Perko 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
-torus knot - a special kind of knot that lies on the surface of an unknotted torus in R³

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