Voronoi Diagrams for European Cities

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A Voronoi diagram partitions the plane into regions based on the distances to a specific subset of points. With more points, there are more regions and the regions are smaller. This Demonstration generates a Voronoi diagram using major cities for up to three countries or capitals of countries for more than three countries.

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Hover over the red dots to see the name of the city.

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Contributed by: Trey Taylor (July 2016)
Mathematica Summer Camp 2016
Open content licensed under CC BY-NC-SA


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Given a set of points in the plane, the corresponding Voronoi diagram partitions the plane into convex polygons such that each polygon contains exactly one point of , say , and every point in is closer to than to any other point in .



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