Hi, I just noticed that you were asking about creating a Voronoi Map from polygons rather than points.
If you just need the geometry of the Voronoi Map and do not need the local statistics, you can do the following:
- Convert the polygons to point centroids using "Feature To Point" geoprocessing tool.
- Use the centroids as input to "Create Thiessen Polygons" tool.
- Optionally, clip the Thiessen polygons to a boundary using the "Clip" tool.
This will give the same polygons as the Voronoi Map ESDA tool in ArcMap. Again, it will not have the local statistics, but it will create the same polygons.