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Stevedore knot (mathematics)

In knot theory, the stevedore knot is one of three prime knots with crossing number six, the others being the 62 knot and the 63 knot. [1]

22 relations: Alexander polynomial, Chiral knot, Crossing number (knot theory), Fibered knot, Figure-eight knot (mathematics), Hyperbolic link, Hyperbolic volume, Invertible knot, Jones polynomial, Knot theory, Loop (topology), Monic polynomial, Pretzel link, Prime knot, Ribbon knot, Rope, Slice knot, Stevedore knot, Stopper knot, Twist knot, 6₂ knot, 6₃ knot.

Alexander polynomial

In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.

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Chiral knot

In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image.

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Crossing number (knot theory)

In the mathematical area of knot theory, the crossing number of a knot is the smallest number of crossings of any diagram of the knot.

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Fibered knot

In knot theory, a branch of mathematics, a knot or link K in the 3-dimensional sphere S^3 is called fibered or fibred (sometimes Neuwirth knot in older texts, after Lee Neuwirth) if there is a 1-parameter family F_t of Seifert surfaces for K, where the parameter t runs through the points of the unit circle S^1, such that if s is not equal to t then the intersection of F_s and F_t is exactly K. For example.

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Figure-eight knot (mathematics)

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

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Hyperbolic link

In mathematics, a hyperbolic link is a link in the 3-sphere with complement that has a complete Riemannian metric of constant negative curvature, i.e. has a hyperbolic geometry.

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Hyperbolic volume

In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric.

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Invertible knot

In mathematics, especially in the area of topology known as knot theory, an invertible knot is a knot that can be continuously deformed to itself, but with its orientation reversed.

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Jones polynomial

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984.

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Knot theory

In topology, knot theory is the study of mathematical knots.

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Loop (topology)

A loop in mathematics, in a topological space X is a continuous function f from the unit interval I.

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Monic polynomial

In algebra, a monic polynomial is an univariate polynomial in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.

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Pretzel link

In knot theory, a branch of mathematics, a pretzel link is a special kind of link.

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Prime knot

In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable.

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Ribbon knot

In the mathematical area of knot theory, a ribbon knot is a knot that bounds a self-intersecting disk with only ribbon singularities.

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Rope

A rope is a group of yarns, plies, or strands which are twisted or braided together in order to combine them into a larger and stronger form.

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Slice knot

A slice knot is a type of mathematical knot.

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Stevedore knot

The stevedore knot is a stopper knot, often tied near the end of a rope.

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Stopper knot

The term stopper knot (or simply stopper) has three distinct meanings in the context of knotting and cordage.

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Twist knot

In knot theory, a branch of mathematics, a twist knot is a knot obtained by repeatedly twisting a closed loop and then linking the ends together.

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6₂ knot

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.

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6₃ knot

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.

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Redirects here:

6 1 knot, 6₁ knot.

References

[1] https://en.wikipedia.org/wiki/Stevedore_knot_(mathematics)

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