In knot theory, prime knots are those knots that are indecomposable under the operation of knot sum. The prime knots with ten or fewer crossings are listed...

which cannot be written as the knot sum of two non-trivial knots. Knots that are not prime are said to be composite knots or composite links. It can be...

In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope,...

methods can now enumerate billions of knots in a matter of days. Knot theory Knot (mathematics) List of prime knots Unknotting problem Hoste, Jim; Thistlethwaite...

contains a list of mathematical knots and links. See also list of knots, list of geometric topology topics. 01 knot/Unknot - a simple un-knotted closed loop...

In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four. This makes it the knot with the third-smallest...

Knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician's knot differs...

Knots Landing is an American prime time television soap opera that originally aired on CBS from December 27, 1979, to May 13, 1993. A spin-off of Dallas...

to the Kinoshita–Terasaka knot, with which it shares the same Jones polynomial. Both knots also have the curious property of having the same Alexander...

boundary is the trefoil knot in different angles. In modern art, the woodcut Knots by M. C. Escher depicts three trefoil knots whose solid forms are twisted...

In knot theory, the cinquefoil knot, also known as Solomon's seal knot or the pentafoil knot, is one of two knots with crossing number five, the other...

manifolds. Knot theory – Study of mathematical knots Knot invariant – Function of a knot that takes the same value for equivalent knots List of mathematical...

connected sum of two nontrivial knots. Any knot can be uniquely expressed as a connected sum of prime knots. The prime decomposition of 3-manifolds is...

enabled early knot tabulators, such as Tait, to construct tables with relatively few mistakes or omissions. The simplest non-alternating prime knots have 8 crossings...

Knots Landing is an American prime time television soap opera that aired on CBS from December 27, 1979, to May 13, 1993. The show was created by David...

non-interlaced versions, in which case they are not knots at all.) The 74 knot is a Lissajous knot, representable for example by the parametric equation...

of knots, the unknot, not knot, or trivial knot, is the least knotted of all knots. Intuitively, the unknot is a closed loop of rope without a knot tied...

Clifford W. (1944). The Ashley Book of Knots. New York: Doubleday. pp. 362–363. Pawson, Des (2002). Pocket Guide to Knots & Splices. Edison, NJ: Chartwell...

that a knot is determined by its complement. That is, if K and K′ are two knots with homeomorphic complements then there is a homeomorphism of the three-sphere...

{\displaystyle \langle x,y\mid x^{p}=y^{q}\rangle .} Torus knots are the only knots whose knot groups have nontrivial center (which is infinite cyclic,...

In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number...

mathematical theory of knots, a knot is tame if it can be "thickened", that is, if there exists an extension to an embedding of the solid torus S 1 ×...

Jacbos". Knots Landing.net (The Official Knots Landing Website). CBS. 19 February 2023. Dallas: The Complete Story of the World's Favorite Prime-Time Soap...

is a knot invariant and can be used to distinguish between certain pairs of inequivalent knots. This is because an equivalence between two knots is a...

the set of all knots, which takes the same value for any two equivalent knots. For example, a knot group is a knot invariant. Typically a knot invariant...

Role: Prime Time 1986 Joan Van Ark (Knots Landing) 1988 Michele Lee (Knots Landing) 1989 Joan Van Ark (Knots Landing) 1990 Nicollette Sheridan (Knots Landing)...

In knot theory, the 62 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 63 knot. This knot is sometimes...

In knot theory, the 63 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 62 knot. It is alternating...

The prime minister of Abkhazia is the de facto head of government of the partially recognized Republic of Abkhazia, that is de jure part of Georgia. While...

knot has 7 exceptional slopes, Dehn surgery slopes which give non-hyperbolic 3-manifolds. Among the enumerated knots, the only other hyperbolic knot with...