X-Nico

unusual facts about Unknot


Torus knot

Unknot, 171 knot (7,2), 819 knot (4,3), 91 knot (9,2), 10124 knot (5,3)


Similar

Unknot | unknot |

Arf invariant of a knot

Every knot is pass-equivalent to either the unknot or the trefoil; these two knots are not pass-equivalent and additionally, the right- and left-handed trefoils are pass-equivalent.

Homotopy

The unknot is not equivalent to the Trefoil knot since one cannot be deformed into the other through a continuous path of embeddings.


see also