![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtpyT8iKX0rB44T0GqVAUeqMWDatV92LqvgC7YezGTqRHS66I_bpn106UxowvVxJa4hYumct0YJhv7ktN7xjdwJgB4WlxwSHa57ZF-4Y_BILFEzgmEdglTUhE1w7dwEGyWXkx6dxY-mQ/s400/600px-Blue_Unknot.png)
The unknot arises in the mathematical theory of knots. Intuitively, the unknot is a closed loop of rope without a knot in it. A knot theorist would describe the unknot as an image of any embedding that can be deformed, i.e. ambient-isotoped, to the standard unknot, i.e. the embedding of the circle as a geometrically round circle. The unknot is also called the trivial knot. An unknot is the identity element with respect to the knot sum operation.
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