Pretzel knots and links (mathematics) | 3-manifolds

Pretzel link

In the mathematical theory of knots, a pretzel link is a special kind of link. It consists of a finite number tangles made of two intertwined circular helices, The tangles are connected cyclicly, the first component of the first tangle is connected to the second component of the second tangle, etc., with the first component of the last tangle connected to the second component of the first. A pretzel link which is also a knot (i.e. a link with one component) is a pretzel knot. Each tangle is characterized by its number of twists, positive if they are counter-clockwise or left-handed, negative if clockwise or right-handed. In the standard projection of the pretzel link, there are left-handed crossings in the first |tangle, in the second, and, in general, in the nth. A pretzel link can also be described as a with integer tangles. (Wikipedia).

Pretzel link
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Knot (mathematics) | Hyperbolic volume | Split link | Mirror image | Whitehead link | Converse (logic) | Stevedore knot (mathematics) | 3-manifold | Link (knot theory) | Tangle (mathematics) | (−2,3,7) pretzel knot | Catalan's constant | Dehn surgery | Connected sum | Knot theory