Hi Richard,
I have ArcGIS advanced license. I agree with you on that a custom script would be needed.
Regarding your question about the lines, I have a polygon layer and there are 52488 polygons.
What I'm trying to do is exactly to find the closest vertex to the intersection and write a buffer
distance field to the intersection point.
I tried to run point distance analysis tool without specifying search radius value but this analysis
takes too much time considering total number of vertices and intersection points. So, It would
be great if you could suggest a solution to perform this analysis. Thank you.