We are working to restore the Unionpedia app on the Google Play Store
OutgoingIncoming
🌟We've simplified our design for better navigation!
Instagram Facebook X LinkedIn
Your own Unionpedia with your logo and domain, from 9.99 USD/month
Create my Unionpedia

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]

Table of Contents

  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.

  2. Alternating knots and links
  3. Double torus knots and links
  4. Hyperbolic knots and links
  5. Non-tricolorable knots and links
  6. Pretzel knots and links (mathematics)
  7. Prime knots and links
  8. Reversible knots and links
  9. Slice knots and links
  10. Twist knots
  11. Unfibered knots and links

Alexander polynomial

In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. Stevedore knot (mathematics) and Alexander polynomial are knot theory.

See Stevedore knot (mathematics) and Alexander polynomial

Chiral knot

In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image (when identical while reversed).

See Stevedore knot (mathematics) and Chiral knot

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.

See Stevedore knot (mathematics) and Crossing number (knot theory)

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.

See Stevedore knot (mathematics) and Fibered knot

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. Stevedore knot (mathematics) and figure-eight knot (mathematics) are Alternating knots and links, Double torus knots and links, hyperbolic knots and links, knot theory, non-tricolorable knots and links, prime knots and links and twist knots.

See Stevedore knot (mathematics) and Figure-eight knot (mathematics)

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. Stevedore knot (mathematics) and hyperbolic link are hyperbolic knots and links and knot theory.

See Stevedore knot (mathematics) and Hyperbolic link

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. Stevedore knot (mathematics) and hyperbolic volume are knot theory.

See Stevedore knot (mathematics) and Hyperbolic volume

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.

See Stevedore knot (mathematics) and Invertible knot

Jones polynomial

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984. Stevedore knot (mathematics) and Jones polynomial are knot theory.

See Stevedore knot (mathematics) and Jones polynomial

Knot theory

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

See Stevedore knot (mathematics) and Knot theory

Loop (topology)

In mathematics, a loop in a topological space is a continuous function from the unit interval to such that In other words, it is a path whose initial point is equal to its terminal point.

See Stevedore knot (mathematics) and Loop (topology)

Monic polynomial

In algebra, a monic polynomial is a non-zero univariate polynomial (that is, a polynomial in a single variable) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1.

See Stevedore knot (mathematics) and Monic polynomial

In the mathematical theory of knots, a pretzel link is a special kind of link. Stevedore knot (mathematics) and pretzel link are pretzel knots and links (mathematics).

See Stevedore knot (mathematics) and Pretzel link

Prime knot

In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable. Stevedore knot (mathematics) and prime knot are prime knots and links.

See Stevedore knot (mathematics) and Prime knot

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. Stevedore knot (mathematics) and ribbon knot are knot theory and slice knots and links.

See Stevedore knot (mathematics) and Ribbon knot

Rope

A rope is a group of yarns, plies, fibres, or strands that are twisted or braided together into a larger and stronger form.

See Stevedore knot (mathematics) and Rope

Slice knot

A slice knot is a mathematical knot in 3-dimensional space that bounds an embedded disk in 4-dimensional space. Stevedore knot (mathematics) and slice knot are slice knots and links.

See Stevedore knot (mathematics) and Slice knot

Stevedore knot

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

See Stevedore knot (mathematics) and Stevedore knot

Stopper knot

A stopper knot (or simply stopper) is a knot that creates a fixed thicker point on an otherwise-uniform thickness rope for the purpose of preventing the rope, at that point, from slipping through a narrow passage, such as a hole in a block.

See Stevedore knot (mathematics) and Stopper knot

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. Stevedore knot (mathematics) and twist knot are Double torus knots and links and twist knots.

See Stevedore knot (mathematics) and Twist knot

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. Stevedore knot (mathematics) and 62 knot are Alternating knots and links, Double torus knots and links, hyperbolic knots and links, knot theory, non-tricolorable knots and links, prime knots and links and Reversible knots and links.

See Stevedore knot (mathematics) and 62 knot

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. Stevedore knot (mathematics) and 63 knot are Alternating knots and links, Double torus knots and links, hyperbolic knots and links, knot theory, non-tricolorable knots and links and prime knots and links.

See Stevedore knot (mathematics) and 63 knot

See also

Alternating knots and links

Double torus knots and links

Hyperbolic knots and links

Non-tricolorable knots and links

Pretzel knots and links (mathematics)

Prime knots and links

Reversible knots and links

Slice knots and links

Twist knots

Unfibered knots and links

References

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

Also known as 6 1 knot, 6₁ knot.