Grasshopper

algorithmic modeling for Rhino

I have a collection of point-to-point lines that form a network, and I'm trying to group the node points according to the planar faces that could exist within this network.

In other words, I'm looking for a tree, where each branch would have the corner points of a planar surface that could be created from some of these lines.  The three points of a triangular face in one branch, the four points of a square face in the next, and so on.  Is this doable in grasshopper?  

Thanks in advance for any suggestions, and sorry if my explanation is unclear.  

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This won't necessarily work for any set of points you give it, but the geometry you've created can be meshed nicely with a delaunay triangulation, recreating the geometry you are creating with your "Connect dots" component (although one of your faces was a non-planar quad, so it will be triangulated with the Delaunay component). You can then get the outlines of each mesh face and do whatever you want with them.

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