\( \def\bbN{{\mathbb N}} \def\bbQ{{\mathbb Q}} \def\bbR{{\mathbb R}} \def\bbZ{{\mathbb Z}} \def\calA{{\mathcal A}} \def\calD{{\mathcal D}} \def\calT{{\mathcal T}} \def\Lim{{\operatorname{Lim}}} \)

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Some Non Obvious Examples

Which two are the same? (rendered using Rob Scharein's KnotPlot)

The Perko Pair: (are these the same?) (taken from http://www.math.cuhk.edu.hk/publect/lecture4/perko.html)

Is this the unknot? (From a book by A.B. Sossinsky. Thanks, Ian Agol)