New version uploaded...
VER 0.9a (09 NOV 2017).
Comments.
0) Saying that nearly all known knots have an Ashley #
is saying implicitly that neither I nor Xarax nor ... know
knots :: IMO, I've sketched perhaps 2000 "new" knots
by now (and most weren't in
ABoK but some were,
I later realized --quite the Sherlock I was!).
There are many known knots not there --as you should
know, most "friction/climbing/ascending hitches" are NOT
there, nor medical, nor fishing knots.
1) Asserting that the sometimes jamming of
SmitHunter's bendis "likely a result of the inter-woven overhand knots"
misses the point that Ashley's " " " -based #1408,
#1452, #1425a-with-"twisted"-tails, & #1425 do not
have this characteristic. (You're inflating your zep.knot
article with hot air!)
But I can see merit in your note, in that in #1425a's case,
the SParts *lean* towards each other and give the collar
a single-dia to wrap tightly around,
whereas the z. and other knots have ways to resist
this (Z. turns are trying to pull apart; so, too, #1425,
where tail wraps resist the opening; #1408 is most
z.-like in geometry here).
2) Asher's Eastern Z. w/crossed tails might not benefit
the parent knot, but such crossing does wonders for the
false zep., if tails are hauled tight (as though to set
it for an offset knot!).
And such crossing improves #1425a (#1425b, call it).
3) "Most bends can be converted into their
correspondingeye knot(s)" both tickles a noun-# issue (avoid by writing
"A bend has a ... knot" or some such),
and presumes one version of "corresponding".
I believe that this forum carries some of my images
of a quartet of corresponding, z.-like eye knots.
(Consider that presumed to correspond from eye
to end-2-end re the
lineman's loop / butterfly :
THAT is a different relation (eye is chopped)!
=> "An eye knot can be formed by ..." and one can
give both the presumed but also an arguably more
direct correspondence, wherein one begins with the
end-2-end knot, *twins* one side's part, and then
fuses one tail end to the opposite side's tail.
(With the
zep. one thus has 100% load of
SPart around X's "axis" opposed by 100% from
eye legs, but in the more voluminous form of
twin strands (2x50%) and that volume-wise
imbalance. We've fiddled versions to get the
SPart in between ... , with some success.
(( to tie the first-sort :: at point of making
final, tail-tuck of SPart's overhand (for eye knot),
TUCK IN A BIGHT and continue to tie the
opposite overhand backwards with this bight,
which of course emerges in the end-2-end's
usual SPart place with instead a bight-eye. ))
(((Suffice it to say that this method does NOT
like the
grapevine bend !! --but came
to me upon seeing a
blood knot presented
for joining a "leader" to a bight's legs --works
fine, for that knot.)))
3b) "The idea of converting end-2-end ... into eye knot
... by Harry Asher" !! Holy Hot Air Headaches, Bat Man!
This is as silly as Asher's Law of Hitch Bight ... whatever ::
it celebrates the obvious. (Looks like someone wanted
a bigger footnote count.
)
4) "tails ... crushed together ... limit slippage" :: One might
note that there is much LESS such crushing-together going
on in the z. than in the aforementioned other knots!
(And that these things don't hold in HMPE, egadz!)
[ ] page 15: new image and content added
(200kg loading with content describing effect of load)
It occurs to me that you might benefit from showing
like loading in some different rope/material. The knot's
been cited as jamming and I'd guess that might come
with firmer line in some cases, with SPart's turn not
compressing so much?! Do you have any "static"
kernmantle?
Re slack-security, you might have trouble convincing
folks that such a loosely open knot can be trusted to
get no looser --esp. with the
grapevine de rigeur
for such tasks. You can play around with shake testing
#1408 & the z. to get some idea of how the latter might
be doing better --is it how there's (in more flexible rope)
a nearly right-angle bend for the center tuck,
and this doesn't enable easy *flowing* out?
--or that tails want to --from this angled bend--
spring into each other, which arrests them?
(Well, hmmm, ditto for SPart's somewhat sharp
U-turn, as contrasted with the roundness of a
bowline's turNip. !?)
--dl*
====