Author Topic: Eskimo Bowline on a Bight  (Read 16209 times)

X1

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Re: Eskimo Bowline on a Bight
« Reply #30 on: December 21, 2012, 01:23:48 AM »
   The (reasonably simple) TIB single and double loops, those we already know and those that we can/will find, are many, indeed - but not sooo many ! Dozens, but not hundreds... When one starts tying them, one by one, he will discover that he will soon learn to pass from the one to the other ( and then from every one to every other) with transformations similar to the ones we have seen in this thread, rather easily, and quickly. It might seem a huge mountain when seen from a distance, but a few steps towards it will show it is but a small hill. The interlocked overhand knot bends, for example, are many more, and their enumeration is much more difficult - and that is why it has not been achieved yet.
   Of course, it needs a systematic/exhaustive way of exploring things, so one will not miss something important in his way. I believe that Luca, as well as Alan Lee, have already done fine systematic work, and they can very well finish this job they had already started !  :)