Gentlemen,
Thanks for your attention.
Roo, ... the other END is still free.
Thank you for this; I was wondering how many could count.
So, nobody knows a bend that would require pulling on both free ends to collapse it?
As noted above, I do, but in ONE sense and possibly not what
is required: toggling the toggle will take two, in-proper-sequence
tugs to release; or using both ends to effect the same toggling
will require both (in any sequence or simultaneously) to be pulled.
But the observable behavior to pulling (e.g., snagging) just one
end will be some release of material (that end's toggling bight)
-- a positive result, in a sense--; but the knot will remain tied
being held by the unpulled end's toggling. However, your
description of the snagging effect, of only one end being pulled,
suggested full, immediate resistance, not some release but w/o
coming untied.
I can't think of a
theoretcial mechanism that takes simultaneous
pulling of ends. (I had once thought that maybe it could somehow
depend upon the orientation of the knot body, but then that would
take not only simultaneous pulling but doing so w/o biasing the
knot position, and ... <eh>.)
--dl*
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