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In topology, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining together the two loose ends of a common overhand knot, resulting in a knotted loop. As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory, which has diverse applications in topology, geometry, physics, chemistry and magic.

The trefoil knot is named after the three-leaf clover (or trefoil) plant.


Trefoil knot sections
Intro   Descriptions    Symmetry    Nontriviality    Classification    Invariants    Trefoils in religion and culture    See also    References    External links   

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Trefoil::number    Notation::trefoil    Theory::image    Curve::three    Torus::fiber    Braid::unknot

{{#invoke:Hatnote|hatnote}}

{{#invoke:Infobox|infobox}}

In topology, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining together the two loose ends of a common overhand knot, resulting in a knotted loop. As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory, which has diverse applications in topology, geometry, physics, chemistry and magic.

The trefoil knot is named after the three-leaf clover (or trefoil) plant.


Trefoil knot sections
Intro   Descriptions    Symmetry    Nontriviality    Classification    Invariants    Trefoils in religion and culture    See also    References    External links   

PREVIOUS: IntroNEXT: Descriptions
<<>>