there are four of them
Noope ! There are
six of them - and I will explain why.
At (1), Alan Lee has shown one, only, "left-handed", and one, only, "right handed"
Alpineer s bowline-like
Janus TIB bowlines. I had said that they were four - but it seems I had enumerated them wrongly. The correct calculation is rather simple, but we should NOT make any mistakes in
addition, as I did !
In the case of the "left-handed" ones, the two legs of the collar cross each other inside the nipping loop ( which is almost circular ) : they form an X , made by two crossing cords of a circle. Now, two crossing chords of a circle divide it in four areas. Let us call them Upper, Lower, Left and Right. I any
Janus bowline, after the Working End, in its path through the nub, has made its U-turn around the eye-leg ( = after it has formed the second, "lower" collar ), it should penetrate the nipping loop for the third time. So, in order to do this, in this case it has to pass through one of those four openings. It turns out that, when it passes through either the Left or the Right opening ( and then it is re-tucked through the collar, as described at (2)), the generated bowline is TIB.
It does not matter if the second leg of the collar crosses the first by going "over" or "under" it : in any of those two cases, we get two TIB bowlines, so the "left-handed"
Alpineer s bowline-like
Janus TIB bowlines are
four, in total.
In the case of the "right-handed" ones, the two legs of the collar do not cross each other : as the first "ascents" towards the Standing end the second "descends" towards the nipping loop, they remain almost parallel to each other - and two not-crossing chords divide the circle in
three, only, areas. Let us call them Left, Central and Right. It turns out that, in order to get a TIB bowline, the Working End should pass through the Left or the Right opening, but not through the Central opening - so the "left-handed"
Alpineer s bowline-like
Janus TIB bowlines are
two.
Four "left-handed", plus
two "right-handed", made
six, the last time I added them !
1.
http://igkt.net/sm/index.php?topic=4422.msg32350#msg323502.
http://igkt.net/sm/index.php?topic=4695 P.S. Of course, for all those six different variations of the
Janus TIB bowline, there is the same problem : Do they suffer from the "
too-early-locking", noticed by Alan Lee ?
http://igkt.net/sm/index.php?topic=4851.msg31610#msg31610 Does the nipping loop "close" and immobilize the three segments which penetrate it, well before the second/"lower" collar can "close" - i.e., before the Tail End, the last line of defence against slippage, is tensioned and starts to participate to the distribution of the tensile forces within the knot s nub ? We have to wait Alan Lee s tests to learn something about this !