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# Chiral knot and Twist knot

## Difference between Chiral knot and Twist knot

### Chiral knot vs. Twist knot

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

Chiral knot and Twist knot have 9 things in common (in Unionpedia): Alexander polynomial, Crossing number (knot theory), Figure-eight knot (mathematics), Invertible knot, Jones polynomial, Knot theory, Mathematics, Torus knot, Trefoil knot.

### 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.

### Figure-eight knot (mathematics)

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.

### 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.

### 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.

### Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

### 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.

### Trefoil knot

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

### The list above answers the following questions

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

## Chiral knot and Twist knot Comparison

Chiral knot has 23 relations, while Twist knot has 18. As they have in common 9, the Jaccard index is 21.95% = 9 / (23 + 18).

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