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In the mathematical theory of knots, the unknot, not knot, or trivial knot, is the least knotted of all knots. Intuitively, the unknot is a closed loop of rope without a knot tied into it, unknotted. To a knot theorist, an unknot is any embedded topological circle in the 3-sphere that is ambient isotopic (that is, deformable) to a geometrically round…
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knot diagram crossings hard crossing circle known unknots number unknotting reidemeister diagrams additional sphere moves many one least loop unknotted
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Unknot | Arf invariant | 0 | 1.00 | infobox |
| Unknot | A–B notation | 01 | 1.00 | infobox |
| Unknot | Braid no. | 1 | 1.00 | infobox |
| Unknot | Bridge no. | 0 | 1.00 | infobox |
| Unknot | Common name | Circle | 1.00 | infobox |
| Unknot | Conway notation | - | 1.00 | infobox |
| Unknot | Crossing no. | 0 | 1.00 | infobox |
| Unknot | Dowker notation | - | 1.00 | infobox |
| Unknot | Genus | 0 | 1.00 | infobox |
| Unknot | Linking no. | 0 | 1.00 | infobox |
| Unknot | Next | 31 | 1.00 | infobox |
| Unknot | Stick no. | 3 | 1.00 | infobox |
| Unknot | Tunnel no. | 0 | 1.00 | infobox |
| Unknot | Unknotting no. | 0 | 1.00 | infobox |
| Unknot | is a | closed loop of rope without a knot tied into it | 0.90 | text |
| Unknot | is a | only knot that is the boundary of an embedded disk | 0.90 | text |
| Unknot | is a | identity element with respect to the knot sum operation | 0.90 | text |
| Unknot | is a | closed loop in three dimensions that does not contain knots and can | 0.90 | text |
| Unknot | is a | projection of its three dimensional shape onto two dimensions | 0.90 | text |
| Unknot | is a | particular unknotted linkage that cannot be reconfigured into a flat convex polygon | 0.90 | text |
| Unknot | is a | diagram of the unknot for which proving that it is unknotted is difficult | 0.90 | text |
| Unknot | is a | only knot whose knot group is an infinite cyclic group | 0.90 | text |
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