A paper (New Journal of Physics 9 65) discusses about the strength of knots depends on the type of material of the knot. This appears to suggest that there may not be a strongest knot for every material. I suppose industries that make use of knots must take heed. For instance, fishing nets should use the strongest knot for a particular material (environmentally, it would be nice to have nets that will break and release something like a dolphin).
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