17 relations: Alexander polynomial, Chiral knot, Crossing number (knot theory), Double overhand knot, Invertible knot, Jones polynomial, Kauffman polynomial, Knot theory, Pentagram, Potentilla, Prime knot, Skein relation, Three-twist knot, Torus knot, Trefoil knot, Writhe, 7₁ 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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## Double overhand knot

The double overhand knot is simply a logical extension of the regular overhand knot, made with one additional pass.

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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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## Kauffman polynomial

In knot theory, the Kauffman polynomial is a 2-variable knot polynomial due to Louis Kauffman.

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## Knot theory

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

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## Pentagram

A pentagram (sometimes known as a pentalpha or pentangle or a star pentagon) is the shape of a five-pointed star drawn with five straight strokes.

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## Potentilla

Potentilla is a genus containing over 300Guillén, A., et al.

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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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## Skein relation

Skein relations are a mathematical tool used to study knots.

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## Three-twist knot

In knot theory, the three-twist knot is the twist knot with three-half twists.

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## Torus knot

In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3.

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## Trefoil knot

In topology, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot.

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## Writhe

In knot theory, there are several competing notions of the quantity writhe, or Wr.

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## 7₁ knot

In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven.

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## Redirects here:

(5,2)-torus knot, 5 1 knot, 5₁ knot, Pentafoil, Pentafoil knot.