per tsik_lestat:
Thanks for pointing them out, although they don't fit in this equation due to their non-tibness.
? Actually, one of the corresponding eye knots is TIB (refer attached extract from my Zeppelin bend paper)
To the best of my knowledge, it was Mobius who firstly introduced this Alpine's knotting scheme, derived directly from the midline form, thus, your first illustration on page 15. Xarax had weighed in with his comments and his own tresse, but for some reason his posts are misssing. Note that Luca ,had also shown the structure, highlighting its relation to bull hitch.
Any link to Mobius is dubious at best... It has been known for some time that bends have corresponding eye knots.
We also know that Brion Toss had published what he described as the "Strait bend" in his book "The Complete Riggers Apprentice" (1998). The 'Strait bend' is non other than the #1053 derived Butterfly bend.
And unknown to Brion Toss; Phil Smith had already published the 'Butterfly bend" in his books "Knots for Mountaineering" in 1953 (at illustration #28). Furthermore, his infamous "Riggers bend" was a direct derivation of the Butterfly bend (at illustration #29).
And we also have Harry Asher who described the correspondence between bends and eye knots in his book "The Alternative Knot Book" - published in 1989 (from page 81). At page 82, he also mentions the Butterfly bend...
We also know that Ashley published the Butterfly eye knot in TIB form at illustration #1053 - published 1944. But, the existence of this knot was already known to Linesman - where it appears in an earlier publication from AA Burger (1914) - where it is identified as a 'Linemans rider'.
The point of all this is that time and again, people
rediscover knots.
Originality is very hard to pinpoint.
But...it is true that
Xarax was a key player in the hunt for TIB knots - particularly TIB Bowlines.
EDIT NOTE:Xarax has contacted me to clarify the so-called 'Mobius loop'.
It is nevertheless a corresponding eye knot from #1053 derived butterfly bend.
There are several corresponding eye knots...6 if you take into account chirality.
What Xarax is pointing out is the uniqueness of the
dressing state - which is very
compacted - and the loading direction.
The original eye legs of #1053 Butterfly are now morphed into SParts.
Xarax believes that Mobius was the first to propose the concept of
EEL (either end loadable).
And so in this particular corresponding Butterfly eye knot - it can be loaded on
either SPart - without disrupting its stability or security.
As for resistance to jamming - I have no idea...
I would prefer to describe it as a 'mobius dressing' - rather than a mobius loop.
So...it is [a] corresponding eye knot from #1053 derived Butterfly bend - that has a mobius dressing state.