18 relations: Alexander polynomial, Chiral knot, Crossing number (knot theory), Figure-eight knot (mathematics), Invertible knot, Jones polynomial, Knot theory, Loop (topology), Mathematics, Satellite knot, Slice knot, Stevedore knot (mathematics), Three-twist knot, Torus knot, Trefoil knot, Unknot, Unknotting number, 2-bridge knot.

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

New!!: Twist knot and Alexander polynomial ·

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

New!!: Twist knot and Chiral 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.

New!!: Twist knot and Crossing number (knot theory) ·

In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four.

New!!: Twist knot and Figure-eight knot (mathematics) ·

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.

New!!: Twist knot and Invertible knot ·

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

New!!: Twist knot and Jones polynomial ·

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

New!!: Twist knot and Knot theory ·

A loop in mathematics, in a topological space X is a continuous function f from the unit interval I.

New!!: Twist knot and Loop (topology) ·

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

New!!: Twist knot and Mathematics ·

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

New!!: Twist knot and Satellite knot ·

A slice knot is a type of mathematical knot.

New!!: Twist knot and Slice knot ·

In knot theory, the stevedore knot is one of three prime knots with crossing number six, the others being the 62 knot and the 63 knot.

New!!: Twist knot and Stevedore knot (mathematics) ·

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

New!!: Twist knot and Three-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.

New!!: Twist knot and Torus knot ·

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

New!!: Twist knot and Trefoil knot ·

The unknot arises in the mathematical theory of knots.

New!!: Twist knot and Unknot ·

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.

New!!: Twist knot and Unknotting number ·

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.

New!!: Twist knot and 2-bridge knot ·

## Redirects here:

10 1 knot, 11 2 knot, 7 2 knot, 8 1 knot, 9 2 knot.