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3 1 knot/Trefoil knot - (2,3)-torus knot, the two loose ends of a common overhand knot joined together 4 1 knot/ Figure-eight knot (mathematics) - a prime knot with a crossing number four 5 1 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 ...
Examples of different knots including the trivial knot (top left) and the trefoil knot (below it) A knot diagram of the trefoil knot, the simplest non-trivial knot. In topology, knot theory is the study of mathematical knots.
Often two knots are considered equivalent if they are ambient isotopic, that is, if there exists a continuous deformation of R 3 which takes one knot to the other. A crucial difference between the standard mathematical and conventional notions of a knot is that mathematical knots are closed — there are no ends to tie or untie on a ...
Figure-eight knot (mathematics) the only 4-crossing knot; Granny knot (mathematics) and Square knot (mathematics) are a connected sum of two Trefoil knots; Perko pair, two entries in a knot table that were later shown to be identical. Stevedore knot (mathematics), a prime knot with crossing number 6; Three-twist knot is the twist knot with ...
In knot theory, prime knots are those ... List of knots; List of mathematical knots and links; Knot tabulation (−2,3,7) pretzel knot; Notes External links. The ...
Pretzel link knot – in knot theory, a branch of mathematics, a pretzel link is a special kind of link; Prusik knot – friction hitch or knot used to put a loop of cord around a rope; Portuguese bowline a.k.a. French bowline – variant of the bowline with two loops that are adjustable in size; Portuguese whipping – a type of whipping knot
Knot (mathematics) Link (knot theory) Wild knots; Examples of knots Unknot; Trefoil knot; Figure-eight knot (mathematics) Borromean rings; Types of knots
A knot can be described as a link with one component. Links and knots are studied in a branch of mathematics called knot theory . Implicit in this definition is that there is a trivial reference link, usually called the unlink , but the word is also sometimes used in context where there is no notion of a trivial link.