Please look at the attached picture, if we start from the loose-back version of A and move "1" beyond "2" (in the picture) we obtain a mirror version of the knot shown in replay #17 and #20.
I don't know if they should be considered the same knot...
bye,
s.
Very good, simple when you showed it to me

I just couldn't get it to rearrange last night.
I did rearrange A into my first image below, which I now realise is also my rig knot with the loops swapped. It looks ok as an adjustable loop too (not tested). The other image popped out when I was fiddling late last night as well. It is a similar nub to the first, with some role reversal of the SPart.
I had a very quick look at finding the second loop (which seems ok, not tested). I found an Alan Lee one that was close, but I would be very surprised if there is not an image of the second loop somewhere here on this site. It looks familiar.
How much of a
topological geometrical change makes a new knot? I think there is enough here to say xarax's 'A' loop and my rig knot are different.
Cheers,
mobius
edit: I added the Alan Lee knot I thought was at least a semblance to my second image, Alan's is a good knot I believe, though does the looping of the tail end still qualify it as 'adjustable'?