| 11. | Actually, string figures are " unknots " or " trivial " knots.
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| 12. | The special case of recognizing the unknot, called the unknotting problem, is of particular interest.
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| 13. | The simplest such invariant is tricolorability : the trefoil is tricolorable, but the unknot is not.
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| 14. | In three dimensions, the unknot cannot be written as the sum of two non-trivial knots.
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| 15. | The crosscap number of the unknot is zero, as the Euler characteristic of the disk is one.
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| 16. | It is an open problem whether any non-trivial knot has the same Jones polynomial as the unknot.
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| 17. | However, there are invariants which distinguish the unknot from all other knots, such as Khovanov homology and knot Floer homology.
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| 18. | In addition, virtually every major knot polynomial distinguishes the trefoil from an unknot, as do most other strong knot invariants.
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| 19. | Since V is an unknotted solid torus, S ^ 3 \ setminus V is a tubular neighbourhood of an unknot J.
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| 20. | Claw moved the log closer to the gate to make it easier to unknot, while Sting went to the finish line.
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