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# Figure-eight knot (mathematics) and Twist knot

## Difference between Figure-eight knot (mathematics) and Twist knot

### Figure-eight knot (mathematics) vs. Twist knot

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. 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.

## Similarities between Figure-eight knot (mathematics) and Twist knot

Figure-eight knot (mathematics) and Twist knot have 8 things in common (in Unionpedia): Alexander polynomial, Chiral knot, Crossing number (knot theory), Jones polynomial, Knot theory, Trefoil knot, Unknot, 2-bridge knot.

### Alexander polynomial

In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.

### Chiral knot

In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image.

### 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.

### Jones polynomial

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984.

### Knot theory

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

### Trefoil knot

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

### Unknot

The unknot arises in the mathematical theory of knots.

### 2-bridge knot

In the mathematical field of knot theory, a 2-bridge knot is a knot which can be isotoped so that the natural height function given by the z-coordinate has only two maxima and two minima as critical points.

### The list above answers the following questions

• What Figure-eight knot (mathematics) and Twist knot have in common
• What are the similarities between Figure-eight knot (mathematics) and Twist knot

## Figure-eight knot (mathematics) and Twist knot Comparison

Figure-eight knot (mathematics) has 35 relations, while Twist knot has 18. As they have in common 8, the Jaccard index is 15.09% = 8 / (35 + 18).

## References

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

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