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Kangaroo is a Live Physics engine for interactive simulation, optimization and form-finding directly within Grasshopper.
Victor Leung
There are tutorials that you could download.
Here basically, you need to first model a series if lines, similar to your diagram.
Next you will need to define all your lines segments as springs, set your desired spring rest length, and add the anchor points.
Note that this is not a cantenary, but a tension network.
Sep 1, 2011
Mårten Nettelbladt
Hi Angelos, here is a start. For some reason the lines aren't updated in my test, but only the points - I'm not sure why. /Mårten
Sep 1, 2011