|
gptkbp:instanceOf
|
knot
mathematical knot
|
|
gptkbp:AlexanderPolynomial
|
t^2 - t + 1
|
|
gptkbp:alternating
|
true
|
|
gptkbp:bridgeType
|
2
|
|
gptkbp:chirality
|
true
|
|
gptkbp:ConwayNotation
|
3
|
|
gptkbp:crossingNumber
|
3
|
|
gptkbp:DowkerThistlethwaiteNotation
|
4 6 2
|
|
gptkbp:fibered
|
true
|
|
gptkbp:genus
|
1
|
|
gptkbp:hasApplication
|
gptkb:art
gptkb:mathematics
biology
chemistry
physics
|
|
gptkbp:hasKnotComplement
|
non-hyperbolic 3-manifold
|
|
gptkbp:hasKnotGroup
|
⟨a, b | a^2 = b^3⟩
|
|
gptkbp:hasMinimalCrossingNumber
|
3
|
|
gptkbp:hasMirrorImage
|
true
|
|
gptkbp:hasMirrorImageType
|
left-handed
right-handed
|
|
gptkbp:hasWikipediaPage
|
https://en.wikipedia.org/wiki/Trefoil_knot
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
trefoil knot
|
|
gptkbp:hyperbolic
|
false
|
|
gptkbp:isAmphichiral
|
false
|
|
gptkbp:isNontrivialKnot
|
true
|
|
gptkbp:isSmallestNontrivialKnot
|
true
|
|
gptkbp:isTorusKnot
|
true
|
|
gptkbp:JonesPolynomial
|
t^{-4} + t^{-12} - t^{-16}
|
|
gptkbp:nameOrigin
|
resembles a cloverleaf (trefoil)
|
|
gptkbp:represents
|
(2,3)-torus knot
|
|
gptkbp:slice
|
false
|
|
gptkbp:studiedIn
|
gptkb:mathematics
gptkb:topology
knot theory
|
|
gptkbp:unknottingNumber
|
1
|
|
gptkbp:bfsParent
|
gptkb:knot
|
|
gptkbp:bfsLayer
|
5
|