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# Crossing number (knot theory) and Twist knot

## Difference between Crossing number (knot theory) and Twist knot

### Crossing number (knot theory) vs. Twist knot

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. 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 Crossing number (knot theory) and Twist knot

Crossing number (knot theory) and Twist knot have 8 things in common (in Unionpedia): Figure-eight knot (mathematics), Knot theory, Mathematics, Satellite knot, Torus knot, Trefoil knot, Unknot, Unknotting number.

### 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.

### 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.

### Satellite knot

In the mathematical theory of knots, a satellite knot is a knot that contains an incompressible, non boundary-parallel torus in its complement.

### 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.

### Unknot

The unknot arises in the mathematical theory of knots.

### Unknotting number

In the mathematical area of knot theory, the unknotting number of a knot is the minimum number of times the knot must be passed through itself (crossing switch) to untie it.

### The list above answers the following questions

• What Crossing number (knot theory) and Twist knot have in common
• What are the similarities between Crossing number (knot theory) and Twist knot

## Crossing number (knot theory) and Twist knot Comparison

Crossing number (knot theory) has 23 relations, while Twist knot has 18. As they have in common 8, the Jaccard index is 19.51% = 8 / (23 + 18).

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