Connect the curve points with straight line

First of all, this is my first day for GH. I apologize if I explain things in a confuse way.

So now I have 3 points and I want to create an arc/curve shape from those 3 points. I don’t actually want to use this arc/curve. I just want to generate some amount of points on this arc/curve. (The reason that I don’t know how many points there will be is because I would like to use Galapagos to do me an optimization and return me with how many points will be the optimized design.) After I have all those dots, I would like to connect them all with straight lines. For ex. 1 with 2, 2 with 3, 3 with 4, and so on.

Is there a way to do this?

Thank you very much!

Something like this?

Something like this?subdivide%20arc subdivide (3.5 KB)

Thank you very much!

Thank you!!