Yes.
Orient each
Gleipnir so that the (long and
diminishing w/each reach & next knot) tail is
taken out of the nipping turn so that it presses
against the other (and not directly against the
loop). (I illustrated four ways of orienting the
tuck of the ends --Search for it (or X1 will have
it by his finding magic, soon!)--, and there is
one where if the ends are pulled in opposite
directions
perpendicular to the wrapping
of the binder (which is what is needed for
running the length of the bound brooms)
they turn against
each other and so
don't distort --and hold open(!)-- the
turNip.
With some possible additional bolstering of one
binder, or with four binders and then handling
the part reaching between the inner two,
you should be able to use this reaching part
qua handle --a slight bonus to the binding!
... a series of Strangles (Double Overhands) would be ...
... vulnerable to losing grip & security against the
non-solidly rounded/convex circumference of the
collection of handles; one wants a knot with the
nipping/security done by cordage alone, not needing
contact with the object(s) ("mid-air", is it?).
--dl*
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