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I can symbolize my polygon in ArcGIS by categories. I tried for every field. But unfortunately in few polygon it showing same color those are just beside of same color polygon. I have to categorized 572 polygon. So it will be a hectic task if I have to do this manually. Is there any way to categorized polygons which are not identical in color with the polygons its surrounded?

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This is a common problem in Cartography. There is also an important Mathematical theorem on this, called the four color theorem

To use this in ArcMap, there was a sample tool for this, called the Map Coloring - Four Color a Map". If you are still at ArcGIS 9.x, you can use it directly.

If you are at ArcGIS 10, you can still use the tool, by registering with esriRegasm, like this:

"C:\Program Files (x86)\Common Files\ArcGIS\bin\esriregasm.exe" <TargetPath> /p Desktop /v 10.0

Fore more details, read this Forum post: "Four Color a Map" for ArcGIS 10

The following two questions are related:

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    Nice post. The link to the tool is not working anymore and I could not locate the tool in the new ESRI resources/scripts sites. Any ideas?
    – fatih_dur
    Commented Aug 4, 2017 at 4:22

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