Author Topic: What defines a Bowline? - structure, characteristics, topology  (Read 210073 times)

Dan_Lehman

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #135 on: August 05, 2011, 05:59:05 PM »
If we label a family as BOWLINE LOOPS, do we not because of the notoriety of
the bowline have some narrower expectations of structure and function?

Of structure, and with the familiarity of that knot.

Quote
I believe the bowline is very widely known as a rescue loop,
not exclusively, but prominently.   Do we want to label knots as bowlines which
would / could / should never be used as a rescue loop? ...

This is ironic, in light of the fact that many SAR organizations have or had
banned the bowline from use in . . . rescue work.  (And the maritime
pool of users probably don't consider this eyeknot primarily on that
exceptional function --one might even be led to the belief by Ashley
that the midshipman's knot  is de rigueur in emergencies.)


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xarax

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #136 on: August 07, 2011, 11:18:22 AM »
   As an example of a bowline, where the function of the collar as a stabilizing structure of the nipping loop is not needed at all, is shown in the attached pictures. This variation of the Double bowline - that, for the time being, let us callit a  "double, crossed-coils nipping loop" bowline - is based on a very stable and tightly tied over the eye leg of the bight double nipping loop, so the collar is needed only to allow the tail to pass through the nipping loop for a second time (See (1)). The way the eye leg of the standing part exits the knot s nub, confined between the second coil and the standing end, makes any stabilizing role of the collar only a secondary one. (Read reply#132, for what this might mean for the definition of the bowline).
   I believe that this bowline is " a relatively simple practical solution, to help keep this forum on the track of talking about practical knots..." :), besides tree swings and corsets tying...

1)  http://igkt.net/sm/index.php?topic=3315.msg19890#msg19890
« Last Edit: August 07, 2011, 11:19:51 AM by xarax »
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xarax

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #137 on: August 07, 2011, 11:43:44 AM »
   The "Myrtle" loop version of the previously shown bowline. Even myself can see a hitch there  :), although this hitch function of the "improper", Myrtle collar is helpfull, but not nessesary : the second time the tail have gone through the nipping loop, it could well had passed above itself, and not below, as in the dressing shown in the pictures. Of course, when it passes 'below", the loaded leg of the tail loop ( the eye leg of the bight) squeezes / compresses the other on the surface of the two colis of the nipping loop, so the tail is secured better by this more secure, tighter hitch.
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Dan_Lehman

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #138 on: August 08, 2011, 05:43:08 AM »
  As an example of a bowline, where the function of the collar
as a stabilizing structure of the nipping loop is not needed at all,

???  The collar is as much needed here as it is for #1010, which
we might recall at least has a published version devoid of a collar
--videlicet, the bellringer's loop !

Quote
This variation of the Double bowline ...

... was devised by me some decades ago with an eye to making
the SPart take a gradual curvature into the knot.  I had one token
of it tested (tied in rather common 1/4" med-soft laid nylon rope),
and it faired reasonably well, but nothing earth-shattering.  (I pushed
the u-turn father from the collar, to make the SPart's helix more
open/gradual.)


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xarax

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #139 on: August 08, 2011, 09:20:35 AM »
  As an example of a bowline, where the function of the collaras a stabilizing structure of the nipping loop is not needed at all,

???  The collar is as much needed here as it is for #1010

   No. I am surprised, (to say the least...) that you say something like this, but, perhaps, you have not tied, loaded and tried this loop times enough, recently enough...or you have tied and/or remember something else ?? When you will tie, load and try it, please, correct this erroneous comment !
   This loop can stand by itself, without a collar, and be loaded very hardly. It is miraculous how well it can stand by itself. I have tried it MANY times, with MANY kernmantle climbing  ropes, 6 to 12 mm. ( so, MANY, not only "one token of it...")
   ON THE CONTRARY, the un-collared loop of the common ( right or left hand ) bowline, can not !... of course, because the loop is instantly deformed into a helix, and then into a straight line...The simple passage of the line of the eye leg of the bight through the nipping loop, without a collar on it, is not enough to stabilize the nipping loop of the common bowline, while it can stabilize the double, crossed-coils nipping loop very well. The common bowline does need the collar, to stand as an end-of-line loop, the loop I have presented does not. Of course, one could not imagine or predict  that, one has to actually tie it, as I did, and try it, as I did ! ( and then remember what he has seen, as you do not !  :))
  I met this loop while I was trying to simplify another, more complex loop based on the double overhand knot, and I met the the double-overhand-knot  based loop when I was trying t simplify some collared versions of it, and those collar versions of it when I was trying to incorporate the Versatackle self-locking mechanism into one single knot...I have not met this bowline by tying double bowlines !
  I presented this bowline as a counter-example to the claim that the collar is needed to stabilize the nipping loop. This might happen, indeed, but only incidentally, as a secondary by-product of the presence of the "proper" collar :  because the primary purpose of the bowline is to be an end of the line loop, and for this it should fix the tail on the standing part... and the collar is a structure of this tail, and the the primary purpose of this collar is to double the number of times the tail passes through the nipping loop.
   This loop needs the collar only as an additional means of security, not as a stabilizing means. (as does the "ABoK#1010", and every common or Eskimo bowline...) That was the purpose of my post.

  This variation of the Double bowline ...... was devised by me some decades ago with an eye to making the SPart take a gradual curvature into the knot.  I had one token of it tested

     Congratulations ! That is why you have forgotten it !  :) Decades is a long time for one, after a certain age, to remember a knot... Along with the other dozens of dozens of the knots you devised (?!?) :) ( nothing earth shattering, you just saw something anybody else could do...and then you have forgotten it, like anyboy else could do, too...), it is not a miracle that you have tied this, too...However, you have not understood its importance, not then, not even now, decades later !  :) Take your time, because I am sure that anybody, has he decades of knotting experience or not, will see immediately that this loop is stable without a collar, while the "ABoK#1010", as you keep naming the common right hand bowline, is not ! My 16 years old son, that was not born when you were starting to forget this loop, realized it at once !  :)
   Regarding the nonsense of priority, read the following comments by me, at another occasion :
 ...as you should have known by now, questions about priorities are not my cup of tea... :)
  This : ["I"] was the FIRST ONE", sounded like a "mine s-is-bigger-than-yours  :) declaration to my ears...

   P.S  It is vary sad we have to prove (?!) simple thing we say, with pictures...See the suspended chair, and then try to do the same - as Dan Lehundini claims it can be done - with "ABoK1010"... :) Who is, or will be, in a state of suspended animation ?
« Last Edit: August 09, 2011, 01:02:15 PM by xarax »
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Dan_Lehman

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #140 on: August 09, 2011, 05:54:32 AM »
  As an example of a bowline, where the function of the collaras a stabilizing structure of the nipping loop is not needed at all,

???  The collar is as much needed here as it is for #1010

No. I am surprised, (to say the least...) that you say something like this,
 but, perhaps, you have not tied, loaded and tried this loop times enough, recently enough
...or you have
. . .

circumspection :  I realize that knots need do more than
bear loads at some point --or, at least, the expected use
of a knot requires that its integrity isn't lost the moment
you look away, put it aside, and slacken the line.  This
is something your teen-age son might be excused to be
overlooking ("at once" ; with reflection, he might do better),
but not you, who boast of wet sea boots and maritime
bowline  usage.

Your flair for drama will win you a photo from me, before
I retire.  Shown is some 5/8" CoEx PP/PE laid line tied in
a bellringer's loop (i.e., #1010 *de-collared*) bearing much
more weigth than that empty chair of yours --sit your bum
(or you son's) in that chair and THEN take your photo(!)--;
in fact, it has 125# of barbell weights suspended from it.
Behind and not much visible is like-sized manila rope in
which I stood in a (lousy) 5:1 pulley, locking a 'biner
(so, > 200#), in the same knot.

Now, to be sure, if it came to comfort and assurance, I
would prefer to sit with you and your structure (though
that kernmantle is making me wary) vs. the other.

But, again, my point is that stabilization of the knot is more
than a during-loading task, in common applications, and
the collar is needed for that, in both of these cases.

Quote
ON THE CONTRARY, the un-collared loop of the common ( right or left hand ) bowline, can not !
... of course, because the loop is instantly deformed into a helix, and then into a straight line...

You may examine my photo for edification, and then,
as you say, "please, correct this erroneous comment ! ".

Quote
Regarding the nonsense of priority, read the following comments by me, at another occasion :

 ...as you should have known by now, questions about priorities are not my cup of tea... :)
  This : ["I"] was the FIRST ONE", sounded like a "mine s-is-bigger-than-yours  :) declaration to my ears...

Your reading wanders far from the written text, it seems;
I made no statement of "priority", and --what I think you
are whining about-- simply stated my familiarity with the
knot (which included my first testing, by a then IGKT member).


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xarax

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #141 on: August 09, 2011, 12:45:17 PM »
I realize that knots need do more than bear loads at some point --or, at least, the expected use. This is something your teen-age son might be excused to be overlooking ("at once" ; with reflection, he might do better), but not you, who boast of wet sea boots and maritime bowline usage.

  I understand that you made an erroneous statement, and now you try a desperate contre-attaque, just in case... :) Ok, I will not charge you more for this... :)
   1. I did not say that the not-collared loop is a "bowline" (!), or that it is a safe loop to use without a collar, in maritime or any other use ! Read my lips :

  I do not expect such a simple two-coils knot to grip the tall "adequately", just "satisfactory well", until it is secured even further by two half hitches, for example. The main idea is to device a mid-line knot that, when tightened, forces the main line that goes through it to bend, to make an L or U turn, so it becomes far easier to block its movement/slippage.
It is expected that those knots are sensible to the width of the bight, the strength of the pull, as well as to the used material.
it [was meant to have] the gripping structure of a "jam" noose. (in the sense of ABoK#1228)

   Have you read those words, or lips, of mine ? If yes, you should have realized that your first round of contre-attaque missed your target completely...
   So, when you boast of been able to criticize a knot, read the words, or the lips, of the person that presents it, MORE CAREFULLY, and then practice tutorship...

Your flair for drama will win you a photo from me, before I retire.

   Thank you very much, indeed ! However, if this "before I retire"  is not yet another figure of speech, in accordance to your flair of drama, I would like something more :
   Your unearthed notebooks, perhaps with fresh comments about the knots shown there !

  But, again, my point is that stabilization of the knot is more than a during-loading task, in common applications, and the collar is needed for that, in both of these cases.

   Again, my point is that the "proper" collar s primary task is to pass the tail through the nipping loop for a second time...and that, incidentally, miraculously, the "proper" collar of the common bowline manages to stabilize this nipping loop, and prevent it from deforming into a helix, WITHOUT any additional structure. In the double, crossed-coils bowline, this goes one step further : the collar is not needed to stabilize the nipping loop at all, which is very well stabilized by itself. Of course, with heavy loading, every part of the knot comes together, and the collar would help the nipping loop from deforming ...but its role in this would only be secondary, because the structure of the crossed-coils nipping loop manages to do this by itself, very well.
  
   So, I would predict that a "ABoK31010, with a loose collar, would hold
...a [common] Bowline can hold, even when the collar is very loose...
...BUT a double, crossed-coils bowline, with a loose collar, would hold MUCH MUCH better ! Is this so hard for you to understand, I wonder... That proves that the role of the "proper" collar in stabilizing the nipping loop is only secondary, in comparison to its role as a means of the tail to be secured by the nipping loop easier. It proves that the collar is a structure of the tail, AND that the security of the tail is the primary purpose of this structure . It is not meant to prove that we do not need the collar, for KnotLand "God" s sake !

You may examine my photo for edification, and then, as you say, "please, correct this erroneous comment ! ".

   2. I never said that, momentarily, even the "ABoK#1010" would not hold, especially if it is tied with this ancient, worn out, hardened, rough, eager to retire material of yours... :)  As you said by yourself, with my slippery kernmantle material, you would need magic powers, (and no wind...) to achieve this. If what I have written was indicating such a thing, I have no difficulty to say that I made an erroneous statement ! What I meant is that the collar is, evidently, MUCH MUCH less needed, as a means of stabilizing the nipping loop, in the case of the double, crossed-coils nipping loop, than in the case of the common bowline. Now, in securing the tail from sliping through the niping loop, the collar might even be MORE indispensable in the case of the former, than in the later...because it might turn out that, without any presence of a collar, the single nipping loop - if, somehow, is stabilized by an external means - holds better than the double nipping loop ! So, I am afraid your contre-attaque fired at a decoy, and missed this target as well...
   So, do you say that the maximum loads that a not-collared naked nipping loop of a "ABoK#1010" can bear, and a double. crossed-coils nipping loo can bear, ON THE SAME MATERIAL, whatever it is, are even comparable ? If you do, then mail to me those notebooks of yours at once ! :)
  
I simply stated my familiarity with the knot (which included my first testing, by a then IGKT member).

   I have never questioned your familiarity with this knot, as well as with many others. But what exactly was the point of this declaration, which comes times and times again, with so many knots ? I said that "Along with the other dozens of dozens of the knots you devised (?!?)  :) ( nothing earth shattering, you just saw something anybody else could do...and then you have forgotten it, like anybody else could do, too...), it is not a miracle that you have tied this, too...However, you have not understood its importance, not then, not even now, decades later !  :) "
   And I said that because the strangeness of this knot has to do with how miraculously well it holds, given its simple structure, and not with the wider curvature of its Standing part ! What you sought in this knot was " making the SPart take a gradual curvature into the knot... [and] had one token of it tested..."(sic). Well, I have seen something else/more, much more important...and tested it with dozens of tokens. Of course, I would nt put anybody on that chair, not even you, with all your Lehudini abilities of escaping criticism and suspended animation... :)

P.S. Nice picture, IN the Wild of your entangled quantum environment...I guess it will take a while to desipher your similary arranged notebooks, so you should start at once !
« Last Edit: August 09, 2011, 01:31:34 PM by xarax »
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xarax

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #142 on: August 09, 2011, 02:11:47 PM »
...a bellringer's loop (i.e., #1010 *de-collared*) bearing much more weight than that empty chair of yours

   1. You will be surprised of how heavy is this chair, and how much more load can this knot bear...Of course, I will not put anybody on it, before securing the single-line tail even further, with two half hitches.
   2. The Bellringer knot is based upon the stiffness of the double-line tail that pass through the nipping loop. I have not seen a Bellringer knot with a single, flexible and slippery single-line, have you ?  :) The double, crossed-coils loop I have presented, (only as a counter-example of your claim that the collar is needed mainly to stabilize the nipping loop...), this loop IS NOT based on this effect, it can withstand loading even when a single line passes through the nipping loop, and even if this line is flexible and slippery. Big, Huge difference ! If you say that this loop is a Bellringer-type loop, that it is holding with the same mechanism as the Bellringer knot, then I am afraid that you have not yet understood a thing about it...Tie a pair of interlinked loops on the same material, whatever this might be : a single-line Bellringer knot, and a single-line, double, crossed-coils loop, and pull them apart. And/Or, a double-line Bellringer knot, and a double-line, double, crossed-coils loop. You will see at once which loop gives first ! I have done it, with many tokens of pairs of knots with my materials, and it is needless to say that the Bellringer knot was deformed before the double. crossed-coils loop, at all times...However, I have only a collection of climbing kernmantle ropes, so I really can not tell what will happen with stiff anacondas...Try this simple test by yourself, on your material, it takes just a few minutes...and we spear the typewriting !
   Any interested reader wishes to see the effectiveness of the single-line, double, crossed-coils loop in holding the tail satisfactory well, in comparison to the effectiveness of a single-line Bellringer loop, is kindly requested to test an interlinked pair of them, and report his findings to us here.
« Last Edit: August 09, 2011, 02:15:13 PM by xarax »
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DerekSmith

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #143 on: August 09, 2011, 05:15:43 PM »
Could I respectfully bring you gentlemen back from your delicate exercises in levitation, and ask how this is taking us towards answering the OP  - "What defines a Bowline?..."

The (disputed) 'King of Knots' is not something that teeters on a knife edge of stability.

Are either of you seriously (even for a moment) suggesting that the presence of a turn component is the essence - the 'Definition' of a Bowline?  If not, then please help me understand just what it is that you are exploring...

Derek

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #144 on: August 09, 2011, 06:11:34 PM »
I might have a suggestion regarding the definition of a Bowline type of knot.

We have seen that there are several bowlines, called so, that do not have the same type of nipping loop; it might be a turNip or it can be a half hitch. But there are always two elements present that do not change as much. It is a loop knot, and one leg of the loop comes directly from the nipping structure, while the other goes into the nip, takes a U-turn around some part, whereupon it comes back into the nipping turn once more, by its orientation stabilizing the nipping turn, so that it cannot open any more by forming a more extended spiral instead of a nipping turn. I think the collar is an integral part of a bowline, without it, I wouldn't see it as a bowline.

Then we could see the Myrtle as a derivative knot that does not fulfill all requirements, while the Eskimo Bowline will, as well as the Double Bowline and bowline on a bight.

Then of course we have those simplest structures under that definition, the variations of the proper bowline with just one nipping turn. Even those may be further classified regarding the shape of their nipping turn, whether it is a turNip (round turn) or a half hitch.

But of course, other criteria might be set.
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xarax

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #145 on: August 09, 2011, 07:36:03 PM »
please help me understand just what it is that you are exploring...

   The problem is the same old one : Is the collar an indispensable element of the bowline, or not ? Should we define, as "bowlines", all the end-of-line loops that, among other things, have a collar, or not ?
   When one tries to answer that question, he has to clarify what the collar really is, so he has to explore what the collar really does. Dan Lehman sees the collar as a means/structure to stabilize the nipping loop, so he is ready to accept other means/structures to achieve the same goal - like the Myrtle collar, for example. So, he is ready to incorporate more collar-like structures into the family of collars, and more nipping-loop-based end-of-line loops into the family of bowlines. Then, it is only natural for him to say that this generalized collar is only a secondary structure of this family, and that we must define "bowlines" without any notion to the collar at all. Indeed, if a collar can be almost any convoluted enough structure around the nipping loop, that helps it be stabilized, one can not but narrow his focus on the nipping loop itself. The generalized collar is lost into the bowline s nub, and what is left, and really matters, is but the nipping loop.
   I follow a different, perhaps more naive road. I see the collar as a means/structure of the tail, that helps the tail to achieve its primary purpose, which is nothing else but to be securely attached to the standing part, to form a fixed end-of-line loop. So, for me, the collar is not a structure that was meant to stabilize the nipping loop, but a structure which was meant to help the nipping loop nip / secure the tail more effectivelly. Only incidentally, that same structure, the "proper" collar, manages to stabilize the nipping loop as well, that is, prevents it from being deformed into an open helix. So, the collar is not a servant of the nipping loop, but of the tail. Can we have a nipping loop that does not need the services of a collar ? Yes, we can, as shown by the example of the double, crossed coils nipping loop, that, being so stable by itself, needs the collar much less than the common bowline. When somebody sees the collar like this, he can resist from the temptation to open the Pandora s box, and accept more general forms of the collar, and more general forms of end-of-line loops as "bowlines". The "proper" collar keeps its individual, instantly recognizable character, and, doing this, it is not lost into the bowline s tangled nub : it retains it role as a structure of the tail, independently of the nipping loop. However, because "there are bowlines that hold even with a loose collar, but not with a loose nipping loop", I think that the primary structure of the bowline is the nipping loop, but that the collar is also an indispensable element of it.
   So, not having to accept more general forms of collar, because the "proper" collar is so successful in its primary and secondary role without any additional structure, I am not obliged to widen the class of end-of-the-line loops I see/define as "bowlines".
   Of course "The (disputed) 'King of Knots' is not something that teeters on a knife edge of stability" !  However, we "analyse" this bowline into elements, as you do, and try to see if those elements are stable by themselves : if they are really individual structures, and if they are indispensable to the compound structure of the bowline. I have tried to show that those two elements I use as building blocks of the "bowline" model, the nipping loop and the collar, are indeed individual elements, and, although they work together as a pair in the final compound knot, they have a clearly separate role to play, and that they can play this role even in the absence of their pair. In the Gleipnir, we have a nipping loop without a collar, and in the double, crossed coils nipping loop, we also have a nipping loop that is very stable by itself, again without the presence of a collar. That means, for me, that the collar is a separate structure of the tail, not of the nipping loop, and its role is to help the nipping loop secure this tail, not to help the nipping loop stabilize itself. Dan Lehman sees the collar as a structure that is helping the nipping loop be stabilized, so he considers many different, more general collars, so he sees the collar as secondary structure. Nobody said that we can have a bowline without a "collar", we both accept that there are reasons that the collar is needed, indeed,  but we are talking of different reasons, and of different collars !  :)
  
« Last Edit: August 09, 2011, 08:03:48 PM by xarax »
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xarax

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #146 on: August 09, 2011, 07:52:02 PM »
one leg of the loop comes directly from the nipping structure, while the other goes into the nip, takes a U-turn around some part, whereupon it comes back into the nipping turn once more

  1. Do you think that the other leg of the loop can go into the nipping turn once more, following the same route as when it departed from it, or not ? Should it come into he nipping loop pointing towards the opposite direction it had when it was exiting from it, or not ? In other words, is the Myrtle collar a "proper" bowline collar, or not ?
   2. I am not satisfied by this vague "directly"...I like the idea, that throws the Karash loop -and other crossing-knot based loops- out of the bowline family, but how we could quantify it  ? Is the leg of the nipping loop. in the "reversed" Constrictor bowline, coming directy from the loop, or not ? (See picture)

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xarax

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #147 on: August 10, 2011, 05:46:50 PM »
  The fact that the not-collared, double, crossed-coils nipping loop can hold so well, is an indication that, in the collared, bowline version of the same knot, this nipping loop would not depend very much on the collar, to retain an effective nip on the tail. See the attached pictures for such a loaded loop, where, even if the two coils settle in inclined positions relatively to each other, the "8" shaped nipping loop remains in a closed, functional shape.
   There might be many more complex nipping structures, that can be stabilized by themselves like this one, without the help of a collar. This shows that each of the two essential elements of the bowline has an individual role to play, and that both elements are indispensable in the compound structure of the bowline knot.
« Last Edit: August 10, 2011, 05:51:59 PM by xarax »
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WebAdmin

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #148 on: August 10, 2011, 05:50:46 PM »
Good day, Gentlemen  :)

I have received a request to move this thread to a more suitable location on the grounds that it is a purely theoretical discussion, rather than a practical one.  Please may I have a concensus of opinion as to the suitability of the Practical board for this discussion's home, as I am loathe to move a long-established 10 pages or so of discussion and good photos without a majority agreement.

All in favour, please post 'aye' for a move to Knot Theory, and all those against please post 'no'.  Justifying your post to the left or the right is purely optional....

Thank you,

Regards

Glenys
Lesley
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Dan_Lehman

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Re: What defines a Bowline? - structure, characteristics, topology
« Reply #149 on: August 10, 2011, 07:31:28 PM »
please help me understand just what it is that you are exploring...

   The problem is the same old one : Is the collar an indispensable element of the bowline, or not ?
Should we define, as "bowlines", all the end-of-line loops that, among other things, have a collar, or not ?

   When one tries to answer that question, he has to clarify what the collar really is,
so he has to explore what the collar really does.

Dan Lehman sees the collar as a means/structure to stabilize the nipping loop,
so he is ready to accept other means/structures to achieve the same goal -- like the Myrtle collar,
for example.  So, he is ready to incorporate more collar-like structures into the family of collars,
and more nipping-loop-based end-of-line loops into the family of bowlines.
Then, it is only natural for him to say that this generalized collar is only a secondary structure
of this family, and that we must define "bowlines" without any notion to the collar at all.
Indeed, if a collar can be almost any convoluted enough structure around the nipping loop,
that helps it be stabilized, one can not but narrow his focus on the nipping loop itself.
The generalized collar is lost into the bowline's nub, and what is left,
and really matters, is but the nipping loop [aka "turNip" ].


I concur in this articulation --well stated.

But I have one expansion, in that "end-of-line [eyeknots]" isn't
my limit; I will (or might, pending further ruminations) include
mid-line eyeknots --well, what of the basic/common bowline
serving so (and, yes, there are those that can be tied w/o ends)?
This all touches issues regarding how *knot* is defined,
vis-a-vis loading (or not) and so on, so I don't want to throw
in a load of other considerations at the moment.

And I remind all that with some greater expanse of examples
to consider, there might be some revisions to current thinking.
I.p., re the Eskimo bowline, surely if one accepts that there
is a distinction of SPart-cores between the turNip and the
crossing knot (aka Munter-hitch form), then it should be seen
that the latter will lay equal claim to this eyeknot.


--dl*
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anything