I'm trying to make a simplified triangulation of a US state (say Ohio) based on the counties. The way I accomplish this is to treat all boundaries, no matter how crooked, as straight lines whose vertices are all the points where three counties meet. How would I find the requisite coordinates from a shapefile for further processing?
RN I plan on getting the coordinates for use in Matlab for a personal algorithm that is based on Delaunay Triangulation, and I've attempted to use shapefiles describing said counties on Google Earth Engine and ArcGIS without much luck, unless I'm taking things in the wrong direction.
EDIT: The file is from http://ogrip-geohio.opendata.arcgis.com/datasets/7212b60cc5fc4949869995813628182c_12
and I am trying to use QGIS 2.18.14 to get the individual points. Is there an easy way to highlight and pinpoint all the places where at least 3 counties touch?