The Arizona Counties as a Voronoi Map

The Arizona counties are reconfigured below, as a Voronoi Map.

Each county consists of all the points closest to the corresponding county seat. For example, every point in Pima county is closest to Tucson. Points on a boundary are equidistant to the two county seats of the bounding counties. Points at a tricorner are equidistant to the three county seats of the three bounding counties.

One way to visuallize a Voronoi Map is to envision circles emanating outward from each county seat. When the circles meet, they then form a line, and when three meet, they form a corner, like soap bubbles do when they conjoin.

To create the map, I used this site:, then did the map tweaking myself.


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