## ::Trefoil knot

### ::concepts

{{#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: Intro | NEXT: Descriptions |

<< | >> |

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: Intro | NEXT: Descriptions |

<< | >> |