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Interesting article from SciAm on transforming a rubberband into a trefoil knot and how math in the knot world of zero thickness says no but the real world says yes.
http://www.scientificamerican.com/a...mpressions-can-you-turn-rubber-band-into-knot
http://www.scientificamerican.com/a...mpressions-can-you-turn-rubber-band-into-knot