Dror Bar-Natan: Classes: 2001-02: Knots and Feynman Diagrams:

Some Non Obvious Examples

Are these pairs the same?

The Millett Example: (rendered using Rob Scharein's KnotPlot)

The Perko Pair (1): (taken from http://www.math.cuhk.edu.hk/publect/lecture4/perko.html)

        

The Perko Pair (2): (taken from http://www.math.uiuc.edu/~jms/Videos/ke/images.html)