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Based on the mock-up below, is it possible to split a polygon into multiple polygons depending on the number of points that are within that polygon?

I am using ArcGIS Pro 3.1.1.

Example

I know there is a caveat how would you know in which direction would you split the polygon? But let's just say I want to split the polygon vertically not horizontally.

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1 Answer 1

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A software independent algorithmic approach that you can implement with whatever geospatial software:

  1. Create Voronoi (Thiessen) Polygons from the points with a margin large enough to cover the whole polygon.

  2. Create the intersection of these voronoi polygons with the initial polygon.

Red: intersection of voronoi/thiessen polygons (dotted line) with the initial polygon: enter image description here

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  • Thank you for the super quick response. But I have tens of thousands of polygons so naturally I also have thousands of points. So is there a tool in Pro that can automate step 1? Oct 27, 2023 at 19:47
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    As I don't have access to ArcGIS, I can just tell you the principle steps, but most geospatial softwares can create Voronoi/Thiessen polygons automatically, as @Hornbydd added in their comment.
    – Babel
    Oct 27, 2023 at 19:54

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