Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
knot
mathematical knot |
| gptkbp:AlexanderPolynomial |
t^2 - t + 1
|
| gptkbp:alternating |
true
|
| gptkbp:bridgeType |
2
|
| gptkbp:chirality |
chiral
|
| gptkbp:conwayNotation |
3
|
| gptkbp:crossingNumber |
3
|
| gptkbp:directionA |
oriented
non-oriented |
| gptkbp:discoveredBy |
gptkb:Peter_Guthrie_Tait
|
| gptkbp:DowkerThistlethwaiteNotation |
4 6 2
|
| gptkbp:fibered |
true
|
| gptkbp:firstNontrivialKnot |
true
|
| gptkbp:genus |
1
|
| https://www.w3.org/2000/01/rdf-schema#label |
trefoil knot (T(2,3))
|
| gptkbp:hyperbolic |
false
|
| gptkbp:JonesPolynomial |
t^{-4} + t^{-12} - t^{-16}
|
| gptkbp:knotComplement |
non-hyperbolic 3-manifold
|
| gptkbp:knotGroup |
non-abelian group with presentation ⟨a, b | a^2 = b^3⟩
|
| gptkbp:minimalCrossingDiagram |
3
|
| gptkbp:mirrorImage |
left-handed trefoil
right-handed trefoil |
| gptkbp:namedAfter |
three-leaf clover
|
| gptkbp:productType |
knot
|
| gptkbp:RolfsenNumber |
3_1
|
| gptkbp:sliceKnot |
false
|
| gptkbp:symmetry |
C3
|
| gptkbp:torusKnot |
T(2,3)
|
| gptkbp:unknottingNumber |
1
|
| gptkbp:writhe |
±3
|
| gptkbp:bfsParent |
gptkb:knot
|
| gptkbp:bfsLayer |
5
|