Lee's link bowline, a multiple-state, multifunctional, versatile knot

[Kost_Greg]

Some primary remarks first........

1) This demonstration is not related with any claims of originality, it's just an additional knotwork concerning a remarkable, pre-existing knot structure, in particular Lee's link bowline,within the realm of exploration, despite the fact that most of the derived profiles may diverge geometrically and functionally from the basic reference knot structure.

2) This very reference structure, is used in the form of 1051, with two rope diameters inside the nipping loop (instead of three, first image), in a side by side, two end configuration.
The entangled components comprise an S loop and a pretzel formation, used as nipping or collar components and vice versa.

This opening post, covers an end termination approach, with two TIB 1051 style eyeknots (leftmost knots), with their corresponding anti - 1051 profiles (rightmost knots).

The knots with simple S nipping loops (first second image), appear to be a more preferable loading scenario in terms of jam resistance, with respect to those with the pretzel form as an Spart continuation (third fourth image).

[Kost_Greg]

Now, let's just center on the opening post's TIB variations, by picking just one (it really doesn't matter which), and subjecting it to some transformation maneuvers.

The initial and final state of this transition, from the end of line to the inline domain, is imprinted in the first image, while the intervening transformational stages, are left to knotting enthusiasts, (it's rather easy to accomplish this equivalence by performing some consecutive collar flips to the reference structure).

What matters here, is this prototype midline structure (first, second image), which i'm not sure if it has been recorded before.

The pretzel component, is now taking the form of a slipped overhand, adding more stability to eye or BTL loading profiles, but the jamming profile needs to be tested.

Multiple end termination bowline/anti-bowline knot structures can be synthesized from this inline model, but i have chosen to show only those with the less complex nipping structure (third, fourth image).
 
Τo be continued with more states and TIB tying methods....

[Kost_Greg]

Changing the crossing knot state of Inline link profile A by pulling the leftmost SPart (first image), another decent midline stucture is created (profile B) shown in the attached images.

Profile A components are subjected to some geometrical change, taking the form of the rightmost configuration, where the S loop turns into Z, entangled with a slightly different, slipped overhand component.

Both structures are very stable, but profile B appears to be a bit stronger.

The crossing area, (third image), as well as the TIB tying methods, rather point to Lineman_like knots, so it would be interesting to investigate if there is a transformational relation with the butterfly knot.

More on these concepts later on.........................

[Kost_Greg]

As previously, i'm going to synthesize a Z based, cowboy like knot, (sorry, not a bowline this time), straight from inline link profile B.

The transformation process may occur at this stage too, as imprinted in the attached images.

I wouldn't probably find so practical, a knot with a slipped overhand nipping structure, like this transformed derivative, more like featuring the feasibility of developing multiple derivative knot structures in various forms.

[Kost_Greg]

What's left to explore in this stage, is to find out the corresponding end of line knot, which the inline link profile B is associated with, by performing the inverse transformation process, from the inline, to the end of line domain this time.

Apparently, it features no geometrical correlation with the reference structure, despite their topological equivalence.

I dind't expect to see a bowline either, but it appears to be a very strong cowboy knot, where the pretzel configuration, is being reshaped to take the form of a constrictor component, therefore it is highly recommended to be loaded from the simpler Z nipping loop as shown in the second image.

[Kost_Greg]

                                                            Butterfly correlation

Starting from the end of line knot presented at reply#4, in particular the constrictor hitched almost cowboy bowline, just pull its on going eye leg to collapse the nipping loop and create another form of the TIB poacher's noose, as shown in first image.
The knot needs to be worked a bit in order to form this poacher's noose dressing state.

It is known, (at least to me), that the poacher's noose is transformationally related with the butterfly knot.

Verily, fold the eye over the two parallel ends and pull the returning eye leg continuation line, as shown in second image.

Butterfly derivatives in front and back view, in the next two images.

Eye manipulation is required to accomplish this transformation.

[Kost_Greg]

It appears from the previous reply, that a TIB pathway has been found, which links the opening post's reference structure, Lee's link 1051, and all its derivatives, with the butterfly knot.

I have a few more equivalencies with some known knots to demonstrate, but first i'll have to include a few more bidirectional transformations as well.

This time, i'm going to start from an inline reference structure of the opening post's initial knot, which i'm going to tie exactly in the way Alan Lee has proposed in his following video.

Link : https://www.youtube.com/watch?v=Hf2iFit3iVI

This transformation cycle, is consecutively imprinted in the attached images, from inline link profile C to inline link profile D, with some intervening anti-bowline structures being the Eskimo variants of inline link profile A,B respectively.

The last inline knot profile D, appears to be the midline variant of the end of line cowboy knot at reply#4.

All four midline variations, are tied by starting from flipped twisted crossing knots initial configurations.

I'm not sure yet as to which profile is better.