Cinquefoil knot

Cinquefoil
Common nameDouble overhand knot
Arf invariant1
Braid length5
Braid no.2
Bridge no.2
Crosscap no.1
Crossing no.5
Genus2
Hyperbolic volume0
Stick no.8
Unknotting no.2
Conway notation[5]
A–B notation51
Dowker notation6, 8, 10, 2, 4
Last / Next4152
Other
alternating, torus, fibered, prime, reversible

In knot theory, the cinquefoil knot, also known as Solomon's seal knot or the pentafoil knot, is one of two knots with crossing number five, the other being the three-twist knot. It is listed as the 51 knot in the Alexander-Briggs notation, and can also be described as the (5,2)-torus knot. The cinquefoil is the closed version of the double overhand knot.


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