How do I keep polylines from intersecting?

In the photo, I used the CurveThroughPt tool. I need an uncrossed polyline. How do i make sure they don’t intersect?
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It’s not obvious what your goal is.

Are you trying to get Rhino to connect them in an order you specify, or are you trying to meet some geometric constraint such as solving for a non-intersecting Hamiltonian path? (one stop at each node).