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# Torus knot and Twist knot

## Difference between Torus knot and Twist knot

### Torus knot vs. Twist knot

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

Torus knot and Twist knot have 6 things in common (in Unionpedia): Alexander polynomial, Crossing number (knot theory), Jones polynomial, Knot theory, Trefoil knot, Unknot.

### Alexander polynomial

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

### 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.

### The list above answers the following questions

• What Torus knot and Twist knot have in common
• What are the similarities between Torus knot and Twist knot

## Torus knot and Twist knot Comparison

Torus knot has 43 relations, while Twist knot has 18. As they have in common 6, the Jaccard index is 9.84% = 6 / (43 + 18).

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