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List of mathematical knots and links information


A table of all prime knots with seven crossings or fewer (not including mirror images).

This article contains a list of mathematical knots and links. See also list of knots, list of geometric topology topics.

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List of mathematical knots and links

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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...

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List of knots

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This list of knots includes many alternative names for common knots and lashings. Knot names have evolved over time, and there are many conflicting or...

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List of prime knots

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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...

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Lists of mathematics topics

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List of mathematical functions List of mathematical knots and links List of mathematical shapes List of mathematical spaces List of matrices List of numbers...

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Knot theory

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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, a mathematical...

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List of knot theory topics

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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...

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Knot

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mathematical study of knots. Knots of ancient origin include the bottle sling, bowline, cat's paw, clove hitch, cow hitch, double fisherman's knot, eskimo bowline...

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List of mathematical examples

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List of mathematical functions List of knots List of mathematical knots and links List of manifolds List of mathematical shapes List of matrices List...

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Trefoil knot

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Trefoil knots. Pretzel link Figure-eight knot (mathematics) Triquetra symbol Cinquefoil knot Gordian Knot Shaw, George Russell (MCMXXXIII). Knots: Useful...

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Borromean rings

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work of knot theory to include the Borromean rings was a catalog of knots and links compiled in 1876 by Peter Tait. In recreational mathematics, the Borromean...

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Sheepshank

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Basic Knots[permanent dead link]. Retrieved November 6, 2005. Section 8 contains a description of the Dogshank. Coil knot List of knots Lead shank "knot, hitch...

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Wild knot

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In the 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...

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Alternating knot

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Adams, Colin C. (2004). The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. American Mathematical Society. ISBN 978-0-8218-3678-1...

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Outline of mathematics

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defined, and with which one may do deductive reasoning and mathematical proofs. Each branch of mathematics has its own objects. Mathematical structure...

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Knot tabulation

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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...

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List of unsolved problems in mathematics

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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer...

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Cinquefoil knot

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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...

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Mathematical diagram

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Mathematical diagrams, such as charts and graphs, are mainly designed to convey mathematical relationships—for example, comparisons over time. A complex...

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Skein relation

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a mathematical tool used to study knots. A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot. One...

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Knot invariant

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the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The...

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Celtic knot

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Celtic knots (Irish: snaidhm Cheilteach, Welsh: cwlwm Celtaidd, Cornish: kolm Keltek, Scottish Gaelic: snaidhm Ceilteach) are a variety of knots and stylized...

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Knot complement

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In mathematics, the knot complement of a tame knot K is the space where the knot is not. If a knot is embedded in the 3-sphere, then the complement is...

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Jones polynomial

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mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984. Specifically, it is an invariant of...

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