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Mathematical Object

Figure-Eight Knot

Topology

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. The figure-eight knot is a prime knot.

Facts
Classification
Object Kind
Geometric Object 1
Connections

Associated With

Source Wikipedia: Figure-eight knot (mathematics)

In Branch

Source Wikipedia: Figure-eight knot (mathematics)

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: Figure-eight knot (mathematics)
  • Lead section, second sentence
    The figure-eight knot is a prime knot.
  • Associated With: Trefoil 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.
  • In Branch: Knot Theory, Lead sentence
    In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four.
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