Works in progress (at any time i may have 6 pix working on etc.).
i think definitively; knot efficiency/strength is all geometry.
A rope (or other Flexible Devices) can only resist/support on inline axis
>>thus all is dependent on the cosine of the angle/distortions from PURE INLINE.
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Saying Geometry, Cosine etc. makes it sound tough;
but cosine is just to me a 0-100% percentage of potential
>>This potential is the actual line force or pull
>>the cosine (i think of as columnSine to my cause/cos) is just the % of potential that actually pulls forward/inline on load
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Chasing greater strength is not about the strength, that is a 1 day prize.
>>Like Auto Racing, the real payout is not this target, but all the stuff L-earned on the journey
>>that makes driving safer,more comfortable, efficient etc. everyday, on every road.
(journey not destination type focus).
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Truck pulls show as rigging forces, same forces on same materials as in the microcosm of a knot.
Strengths of knots shown totally depend on how close to max PURE INLINE the architecture of the rope is.
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i am constantly amazed the ancients cracked this code of length/force/speed/distance etc. w/o pencil nor paper.
>>then handed down thru so much else being lost!!
The same angle numbers work for length measurement as force.
Same numbers are the root to all action games motion, sizing, even the gradient shading is on cos/sin scales!!
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We see these things in everything so much, they are so bland; seems like can't define!
BUT, as an animal your eye is constantly weighing and measuring for risks, paths etc.
OFTEN YOUR EYE CAN TELL WHEN THESE QUOTIENTS ARE MISSING!
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Drawings, animations,shadings do not look legit to the eye if don't employ these numbers!
Eye is used to seeing them in all!
In drawing, animation etc. can move ball horizontally 10 pixels every 1/24th of a second >> looks ok
>>BUT move not so statically/evenly but rather start slow and arrive fast to target (or reverse called ease-in/ease-out)
>>gives more Natural look, feel! Especially increments follow cos/sin type scales!!
The term used for the look is that the view/action is more 'Organic' in look and feel!
>>Static increment motion looks robotic next to organic >>the eye knows!
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This thing of Geometry is a code of life the Ancients cracked; this rope usage is just one place it appears!