I think just from a physics/geometry stand point there are two things your saying there and one is right, one isn't... (no offense, your effectively right anyways)
"Length has a greater effect on the ability to get a flatter lay than width does"
Right
"Length has a greater effect on the ability to increase your diagonal"
Wrong
Basically width allows you diagonal.
Whatever angle you are at from the centerline, your height times the sine of that angle is how much width you take up. If the width of the hammock is less than that... you can't go that diagonal. If the width is more then that, you can.
If you make it easier and think of a U shaped hammock, one hung with WAY WAY too much sag then with the sides pulled out...
The material in the center follows that U directly. The material at the sides follows that U, but also has to travel from the gathered point in the center out sideways... so a longer length would be required for it to hang as low.
So with a rectangle hung like this the material in the middle would hang lower, and as you said then ends would curl up.
So really you have the two components...
The width allows you to turn diagonally (I know some hammocks like the GTUL lack the width to really get diagonal), the length helps maintain comfort by not causing so much curvature at the sides.
You need to balance these two factors if you want to find how small of a hammock you find comfortable. A very short, but very wide hammock would allow you more diagonal then a very long but narrow one...Though neither may be what you would want
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