Only some decade later ... (Lee's Link BWL & Doubly HAH!)

New Knot Investigations
1

I forget what sent me to Mark’s An Analysis of Bowlines
paper, but on seeing Lee’s Link BWL I now saw that it
is … another loading of the same tangle that includes
the “Doubly HAH!” (“HAH” = “Happy As Harry (Asher)”)
(pseudo) BWL I’ve been fond of since whenever I first
discovered it, maybe ca. 2004!?

Their relationship is this : :

  1. Tail-Load the knot,
  2. then reverse all (i.e., of the 2- pieces in this 2-tangle,
    1-2 & A-B, for each piece reverse its loading (so, 50-50%
    will see no change, but 100-50 (S.Part → Outgoing Eye Leg)
    will become 50-100, indicating a swap of duties).

(Or,I believe one can do the above in reverse order
–the Tail-Loading being 2nd.)

(-;

2

If you are referring to an end termination knot, these are the alternative loading profiles of Lee’s link bowline that i can think of, i doubt if there’s anything else, including of course the conventional one (which is either end loadable), with the two lines (SPart,tail) side by side ,parallel, exiting the nub.

Lee's loading profiles
Lee's loading profiles1440×1080 601 KB

Notes :

  1. I kept the lines parallel (out-going, tail) for simplicity and better image resolution.

  2. Of course, these are the non-TIB, loading profiles of Lee’s bwl (anti-knots?)

If none of the above, please provide more details such as, links, images and so on….:face_with_raised_eyebrow:

Edit: A slight modification at the lower knot

3

No ifs about it : I specified that, giving the operations
to move from either to the other --such as “Tail-loading”.
(It can help to use different ropes for the EK / 2-tangle’s
S.Part<->OELeg & REL<->Tail tangled pieces. And note
that the definition of EK --i.e., the Loading_Profile for
the tangle to get it-- doesn’t actually connect the two
eye legs, just gives their 50% loading together in oppostion
to the S.Part’s 100% --these tangle ends run though the
tangle isolation/view boundary/perimeter & out of this
formal consideration.
(Canonically, let’s label these pieces by their ends,
respectively, as pieces “1-2” & “A-B”.)

The Lee’s Link is a simplicity (1-2 a mere loop) completed
by a complexity (A-B making about double the entwining);
and Doubly HAH! is the opposite, the loop simplicity in A-B.

Among a mass of other “(pseudo) BWLs”, I’ve found one
general structure
. . (which I lately just noticed has an operational connection
. . . to the DblyHAH! clan, by folding back its eye collar
. . . to collar the S.Part & Tail)
that has 17 reasonable completion versions (!!),
all being (so I think) unique (albeit similar) tangles,
which being asymmetric means 8 (potential) EKs
per each, and … 115 dang EKs to check?
(NOT yet, anyway; I do want to do a few, though.)

–dl*
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