which the quick-witted but never-the-less kind among the gentle readership here have not pointed out. The blunder-headed mistake.accepting of course the possibility of some blunder-headed mistake along the way
For you see, the slope of the line at 30 degrees is not PI/6, it is of course the length of the opposite side of the triangle over the length of the adjacent side, known in the biz as "tangent". Substituting tan(PI/6) in the equations where once PI/6 stood as an object lesson in the wisdom of not posting hastily, and re-doing the calculations gives the ratio of interest as....wait for it....
0.83 with some other digits that aren't 33333, but I'm doing numerical integration here, and probably more to the point, the parabola ain't a catenary curve.
someone 'round here good at Mathematica?
So, then, 83% is all about mathematical relationships, and only coincidentally about comfort?
It may not be rocket science, but it's still science.
This is off topic, but since there are quants involved I thought you might enjoy this one. We need to add hammocks to the picture though, otherwise it remains only tangentially relevant.
Got this one from Google+. Look Grizz -- virtual trees!
"Civilization is the limitless multiplication of unnecessary necessities." - Mark Twain
“I go to nature to be soothed and healed, and to have my senses put in order.” - John Burroughs
Hennessy's original suspension hang angle did not include the 30* below horizontal. In fact his orginal directions were to hang the hammock tightly strung. It wasn't until a few years ago that he changed his stuff sack directions to even approximate the 30* angle. There was a lot of confusion a while back when noobies would follow the stuff sack directions and complain they were not comfortable. When they followed the suggestion to loosen the suspension hang they discovered how comfortable a HH can be.
The 83.3 ratio is a starting place. That's all it is not carved in stone.
I may be slow... But I sure am gimpy.
"Bless you child, when you set out to thread a needle don't hold the thread still and fetch the needle up to it; hold the needle still and poke the thread at it; that's the way a woman most always does, but a man always does t'other way."
Mrs. Loftus to Huck Finn
We Don't Sew... We Make Gear! video series
Important thread injector guidelines especially for Newbies
Bobbin Tension - A Personal Viewpoint
Its funny, you would think a starting point would be an even or non specific number like 80% rather than 83.3%.
Don't let life get in the way of living.
If my own experience is any guide, the center of the hammock still remains at that 30 degree sag when strung tight. However, the edges of the hammock try to meet each other to take up the rest of the slack--I think this might be due to the way the hammock is whipped--causing shoulder squeeze. Of course, that could just be a body issue on my part; not everyone is built the same way, after all.