I&#x27;m not familiar with the subject, so I don&#x27;t quite get that last sentence. It seems to me like most knots I encounter in everyday life is similar to this one:
<a href="http:&#x2F;&#x2F;www.nationbydesign.com&#x2F;simple-knot.jpg" rel="nofollow">http:&#x2F;&#x2F;www.nationbydesign.com&#x2F;simple-knot.jpg</a><p>This, to me, seems like a knot that cannot be removed via any sort of transformation that doesn&#x27;t involve cutting it, assuming that the piece of string has no ends and continues forever.<p>Is my understanding of a knot in the mathematical sense wrong? Or of the involved transformations? If so, can you elaborate?