Firstly, the knot misnomers : a
fisherman's knot is an end-2-end joint
composed of opposing
overhand hitches abutting and locking; and so the
nomenclature adds to this "double", "triple" where the components are, resp.,
double o.s, triple o.s --and in this scheme of things, you show but ONE
component, which is a
quadruple overhand ; in fact, you've tied a
strangle
knot (hitch) --and a
triple strangle as the single contains one overwrap,
unlike the
overhand. (Spare any WWWeb justification, this is older than that.)
Now, substantially vs. pedantically:
The complexity of making, and the breaking in the center knots.
Occam's Razor suggests that, since the right side of the presented structure
didn't break (i.e., the eye+
diamond knot stopper), there need be no further
knotting to this! Simply pre-tie the line in this manner, to then loosen, reeve
the eye-end through the ring, and re-attach around the stopper's throat.
This makes a uniform four-strand connecting structure, not 2-vs-4 as shown
(where the break came in the knotted "2" side).
Beyond this admittedly *loose* simple structure of a ring of doubled HMPE
connected with eye+stopper, I can think of various other ways of much the
same sort of thing, with the same or similar finish, but with some added
engagement to reduce the *looseness*. E.g., putting a larkshead/girth hitch
around the sheets with the stopper knot centered in this, and then reeving
through the ring to bring the eye (perhaps merely the bight end) through
the sheets and then around the stopper.
--dl*
====