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Stevedore knot (mathematics)

Index 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]

14 relations: Fibered knot, Hyperbolic link, Hyperbolic volume, Knotted protein, Lissajous knot, List of knot theory topics, List of mathematical knots and links, List of prime knots, Pretzel link, Slice knot, Twist knot, Unknotting number, 6₂ knot, 6₃ knot.

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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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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Knotted protein

Knotted proteins are proteins whose backbones entangle themselves in a knot.

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Lissajous knot

In knot theory, a Lissajous knot is a knot defined by parametric equations of the form where n_x, n_y, and n_z are integers and the phase shifts \phi_x, \phi_y, and \phi_z may be any real numbers.

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List of knot theory topics

Knot theory is the study of mathematical knots.

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List of mathematical knots and links

This article contains a list of mathematical knots and links.

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List of prime knots

In knot theory, prime knots are those knots that are indecomposable under the operation of knot sum.

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Pretzel link

In the mathematical theory of knots, a pretzel link is a special kind of link.

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Slice knot

A slice knot is a type of mathematical knot.

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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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Unknotting number

In the mathematical area of knot theory, the unknotting number of a knot is the minimum number of times the knot must be passed through itself (crossing switch) to untie it.

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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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