join random points by a line

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Hai ,
I am working on procedural generation of roads. The technique I am following is iterated subdivisions. At present I have a 10 * 10 grid with 2 rows and 2 columns. I resampled the edges such that I have 50 points on each edge.I need to select a random point on a random edge and then draw a line such that it bisects any other random point on the grid forming 2 polygons.Could any one please help me on how to achieve this in houdini….Thanks in advance….

Attachments:
iteratedSubdivisionsTest.hipnc (34.2 KB)

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