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Mathematical Object

Trefoil Knot

Topology

In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. It can be obtained by joining the two loose ends of an ordinary overhand knot, producing a knotted loop, and as the simplest possible knot it is fundamental to the study of mathematical knot theory. The trefoil knot is named after the three leaf clover, or trefoil, plant.

Facts
Classification
Object Kind
Geometric Object 1
Connections

Associated With

Source Wikipedia: Figure-eight knot (mathematics)

In Branch

Source Wikipedia: Trefoil knot

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Wikipedia: Trefoil knot
  • Descriptions section
    The trefoil knot can be defined as the curve obtained from the following parametric equations
  • In Branch: Knot Theory, Lead sentence
    In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot.
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Wikipedia: Figure-eight knot (mathematics)
Associated With: Figure-Eight Knot, Lead section, first sentence
Quote, Associated With: Figure-Eight Knot, Lead section, first sentence
In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four, making it the knot with the third smallest possible crossing number after the unknot and the trefoil knot.
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