This has me thinking that somebody could make a script that auto builds ropes and their curvatures where a player need only specify a starting point, stopping point, and how much slack/how taught the rope is. Probabally a simple numeric input in brick height.
I've considered doing this, but the process, as best as I could find, involves solving a system of equations to find the variables necessary to plug into the catenary equation. I haven't checked how the ropes mod does it, but it is an otherwise involved process. It is possible to substitute a catenary with a parabola. Given careful variable choices, it's possible to get nearly the same shape.
