Very nice! knudeNoggin especially, and i believe Agent_Smith are great advocates of dual view!
(mostly i'm too worn out from making front view..)
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Agent_Smith quest-ion/puzzle>>
Pre-ramble Note:
These 2(Zeppelin/Rigger's) do show 2arcs each, then half arc
>>half arc to terminate is 'legal' in my line and half circle arcs breakdown
>>Explain this in Sheet, Hitch and here as terminates force flow still in this line of force defined.
If force flow persisted as straight line off that 90 and wasn't a continuing, pinching, pasting turn, would look to call another system, with it's own unique force line.
But, i don't think this answer is in the capstan maths(not sure asking that to explain question)
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Best Answer Zeppelin/Rigger's : (perhaps more conceptual than precise)
Linked lengthwise vs. sidewise change, would look for any inline rather than sideways cross to more lend this way..
i've run into this puzzle before with these 2 bulls in pen and troubled theories for some time. Truly think causation is the more most fiercest directly inline of Rigger's to hyper-tighten and fuse close at MBS vs. the near miss, but not seating so to each other but apart some, as the 2 bull forces miss each other more of Zepp/Ros. The cross linked profile of the Rigger's (rather than side by side of Zepp) would seem to pull apart, but pulls more inline. Side by side Zepp architecture lends more of higher amplitude of change of side force.
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To my 'electrical' schematic force view, Riggers is more of continuous line, Zeppelin; some buffer.
So again, i blame geometry, just not of the matching shapes, but rather their force lines. Was looking so hard at matching form's geometry for so long so intently, had to back off to see the near miss effect. And more pinch across of Zeppelin toward line of force vs. more into line of force in Rigger's. Sine JUMPS sideways in force few degrees deflection from pure inline, change in direction AND impact of change, more prevalent in Zeppelin.
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i always look to run tough maze backwards for solutions, and cross-verification/parity check of should read same 'sum' forwards or backwards. Here, would say if the 2 bulls (a common farm imagery of raw power forces for me); were charging w/same force only compression, not tension; less jam in near miss! Tension is same, only reverse direction AND side force tries to pull inline (compression push, side forces push out of line).
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Other useless thoughts:
capstan math worx to compound the inefficiences thru the system.
>>the root number 'e' in math (Euler's) capstan math uses, is same used for compound interest(as the original puzzle built for) etc. in these equations 'e' is root number 2.78_ for logarithmic expansion, everything else is exponent of that trick number!
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i l-earned BFly as eye first, but am looking to show as Bend first.
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i really like Blue color of rope, as background contrasting choice, but also found Blue towel background contrasting bg for other color ropes. Liked bright tapes on end too.
>>These ropes kinda look stiff tho for realizing and showing how good (fave)DBY is?
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Totally understand and extend same intellectual property clause, and have taken to branding s-lightly (perhaps thought for Brocky too add tag in photo editor, years down the line of throwing pix would probably be glad did that..), but also for continuity of looking at same person's theories as this set of pix vs others (not that i'm afraid of someone thinking like me; or even admitting so, jest to help keep these piles fairly sorted!). And thus ask for no changes including sig. Lends credit, continuity to other works as a set, and makes those that don't go along; really stand out! Also, would be service perhaps to name knots as part of pic, especially handy in big pic yrs. later. Easy enough to blot out later a/n.
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Kinda used old worlde capstan pix to explain effect, but don't look so much for capstan twist on rope, any more than pipe. And see HH as directional converter in Bowline as is as lengthwise Killick effect(ABoK #271 shows same knot as more proper right angle pull for rock as anchor as KILLEG and other names).
>>i think lengthwise pulls is own thread/study, extremes of which are the hitches on tapered host and too Friction Hitches that not only hold like other knots, but slide and still hold. And how further more climbers work these not as occasional slide and hold on tent stake etc. but as main function. Especially to demand so much precision. Then how break form from variants of preceding Half to tresse's (very few) etc. Of these extreme non-right angles to host mount/ lenghtwise(ABoK) usage. So, everyone knows this angle of usage in rope is crossing the line; all precautions must be taken!
edit: Thanx, have edited Strangle reference to notate lack of host mount of log or sack;
as most correct. i originally did have log in there, tried to fade like rest etc. but just couldn't show story. i do define nonBinding knots as the ONLY ones w/o host to form around. Hitch, Bend, Binding knots all imply host mount. Only knot to self, that doesn't bind has proper form w/o host mount of log, hook, bag, other line etc.
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As a Binding Knot type, simple Square/Reef doesn't give an 'input force handle' (or Square comes out of square and capsizes); but binding knots like Bag/Ground line etc. can make great hitches! Clove, doesn't seize self; by Nipping (after RT 3arc reduction and crossing(s)Bitter End , directly to hardened host by main/full load like seen in Binding Knots shown. So Clove is Hitch only, not binding, even tho parent of a few binders!