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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. [1]

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.

Alexander polynomial

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

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Chiral knot

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

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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.

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Figure-eight knot (mathematics)

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

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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.

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Jones polynomial

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

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Knot theory

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

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Loop (topology)

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

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

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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.

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Slice knot

A slice knot is a type of mathematical knot.

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Stevedore knot (mathematics)

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.

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Three-twist knot

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

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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.

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Trefoil knot

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

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The unknot arises in the mathematical theory of knots.

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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.

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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.

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


[1] https://en.wikipedia.org/wiki/Twist_knot

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