So i just took my final for Calc 2 and part of it involved conic sections specifically ellipses. Where you would/could essentially pin a string in two places along a line then a loop of string around the pins would form a perfect ellipse if you were to place a pen inside the string and keep tension on it and drew around in a circular motion. and then half of that ellipse would be a cat curve I've never done the sagged string but i suspect it is easier although not quite as interesting(for math geeks)
just something i thought of as I became a more interested in DIY projects for my hammock.
I'm sure there are a plethora of physics applications regarding loads, forces, and that sort of thing anyone else stumble across something like this?
This video gives the idea without the math behind getting the proper length/depth of the elipse