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Mathematical Object

Cinquefoil Knot

Topology

In knot theory, the cinquefoil knot, also known as Solomon's seal knot or the pentafoil knot, is one of only two knots with crossing number five, the other being the three-twist knot. It is catalogued as knot 5-1 in the Alexander-Briggs notation and can also be described as a (5,2)-torus knot. The cinquefoil is the closed, knotted form produced by joining the ends of a double overhand knot. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Geometric Object 1
Connections

In Branch

Source Cinquefoil Knot (Wikipedia)

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. Cinquefoil Knot (Wikipedia)
In Branch: Knot Theory, Lead sentence
Quote, In Branch: Knot Theory, Lead sentence
In knot theory, the cinquefoil knot, also known as Solomon's seal knot or the pentafoil knot, is one of two knots with crossing nu
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