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Invertible knot

Index 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. [1]

11 relations: Chiral knot, Cinquefoil knot, Hale Trotter, List of knot theory topics, Pretzel link, Stevedore knot (mathematics), Three-twist knot, Twist knot, 6₂ knot, 6₃ knot, 7₁ knot.

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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Cinquefoil knot

In knot theory, the cinquefoil knot, also known as Solomon's seal knot or the pentafoil knot, is one of two knots with crossing number five, the other being the three-twist knot.

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Hale Trotter

Hale Freeman Trotter (born 30 May 1931, Kingston, Ontario) is a Canadian-American mathematician, known for the Hale product formula, the Steinhaus–Johnson–Trotter algorithm, and the Lang-Trotter conjecture.

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List of knot theory topics

Knot theory is the study of mathematical knots.

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Pretzel link

In the mathematical theory of knots, a pretzel link is a special kind of link.

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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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Twist 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.

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6₂ knot

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

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6₃ knot

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

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7₁ knot

In knot theory, the 71 knot, also known as the septoil knot, the septafoil knot, or the (7, 2)-torus knot, is one of seven prime knots with crossing number seven.

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Redirects here:

Invertibility (knot theory), Invertible (knot theory), Invertible link, Non-invertible knot, Strongly invertible knot.

References

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

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