Knowing as little as I do about knot-tying, correctness has a certain allure. If I were to teach this knot to someone else, it would be nice to know which of the two ways carries the label "snuggle hitch."
But by that time--well, even at THIS time--both versions carry that label
(and by the same source author!), alas.
In this particular knot case, we can find the origin: KM#18p17 (Winter 1987),
as part of "Further New Twists" by Owen Nuttall. The knot is finished Over-Under.
Perhaps, Brian, the discrepancy is wider than just my little book--that is helpful information. "The Book of Knots" is a beginner book, possibly a great condensation of Budworth's other works.
I don't see the knot in a few other books I have access to; it occurs in several
Budworth books, and in at least three is tied "correctly"; note that your book
has it so, but for one conflicting image--which conflicts with the associated text.
It seems to me, with my very little knowledge, that ending under, under would be the more secure knot--the greater contact surface area would increase the friction, would it not? Over, under would, I think, be easier to tie.
You should play around with some materials and check this. Actually, part of
Owen's idea was easy UNtying--the tug on the end pulling out material of the
SPart and loosening the knot (to free the end). But also the Over-Under
finish puts more pressure on the part gone Over which you see itself goes
Over the Spart and so better secures it. Also, the Over of the end prevents
the part gone Over from shifting position, which it otherwise can do, with
loosening effects on the knot (this behavior seen in compressible rope such
as hollow braid). And in firm laid PP rope, I see that the Under-Under doesn't
get much pressure on the end for the first Under, as that part going Over it
has also gone Over another part, and hardly contacts the end--which in any
case will be strongly nipped by the (fully loaded) SPart.
.:. Nuttall seems to have made the better selection.
A problem with this hitch is that it cannot be easily tied tight, but must be
formed and then worked tight.
--dl*
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