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Alternating knot and Figure-eight knot (mathematics)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Alternating knot and Figure-eight knot (mathematics)

Alternating knot vs. Figure-eight knot (mathematics)

In knot theory, a knot or link diagram is alternating if the crossings alternate under, over, under, over, as one travels along each component of the link. In knot theory, a figure-eight knot (also called Listing's knot or a Cavendish knot) is the unique knot with a crossing number of four.

Similarities between Alternating knot and Figure-eight knot (mathematics)

Alternating knot and Figure-eight knot (mathematics) have 8 things in common (in Unionpedia): Crossing number (knot theory), Haken manifold, Hyperbolic link, Knot theory, Marc Lackenby, Prime knot, William Thurston, 3-manifold.

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.

Alternating knot and Crossing number (knot theory) · Crossing number (knot theory) and Figure-eight knot (mathematics) · See more »

Haken manifold

In mathematics, a Haken manifold is a compact, P²-irreducible 3-manifold that is sufficiently large, meaning that it contains a properly embedded two-sided incompressible surface.

Alternating knot and Haken manifold · Figure-eight knot (mathematics) and Haken manifold · See more »

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.

Alternating knot and Hyperbolic link · Figure-eight knot (mathematics) and Hyperbolic link · See more »

Knot theory

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

Alternating knot and Knot theory · Figure-eight knot (mathematics) and Knot theory · See more »

Marc Lackenby

Marc Lackenby is a professor of mathematics at the University of Oxford whose research concerns knot theory, low-dimensional topology, and group theory.

Alternating knot and Marc Lackenby · Figure-eight knot (mathematics) and Marc Lackenby · See more »

Prime knot

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

Alternating knot and Prime knot · Figure-eight knot (mathematics) and Prime knot · See more »

William Thurston

William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician.

Alternating knot and William Thurston · Figure-eight knot (mathematics) and William Thurston · See more »

3-manifold

In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space.

3-manifold and Alternating knot · 3-manifold and Figure-eight knot (mathematics) · See more »

The list above answers the following questions

Alternating knot and Figure-eight knot (mathematics) Comparison

Alternating knot has 24 relations, while Figure-eight knot (mathematics) has 35. As they have in common 8, the Jaccard index is 13.56% = 8 / (24 + 35).

References

This article shows the relationship between Alternating knot and Figure-eight knot (mathematics). To access each article from which the information was extracted, please visit:

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