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6₂ knot

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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. [1]

14 relations: Alexander polynomial, Chiral knot, Crossing number (knot theory), Hyperbolic link, Hyperbolic volume, Invertible knot, Jones polynomial, Knot complement, Knot theory, Miller Institute, Prime knot, Stevedore knot (mathematics), University of California, Berkeley, 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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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 complement

In mathematics, the knot complement of a tame knot K is the three-dimensional space surrounding the knot.

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Knot theory

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

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Miller Institute

The Miller Institute for Basic Research in Science was established on the University of California, Berkeley campus in 1955 after Adolph C. Miller and his wife, Mary Sprague Miller, made a donation to the University.

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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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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.

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University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public research university in Berkeley, California.

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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 2 knot, Miller Institute knot.

References

[1] https://en.wikipedia.org/wiki/6₂_knot

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