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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Contributed by: Trey Taylor (July 2016)
Mathematica Summer Camp 2016
Open content licensed under CC BY-NC-SA
Snapshots
Details
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
.
Permanent Citation
"Voronoi Diagrams for European Cities"
http://demonstrations.wolfram.com/VoronoiDiagramsForEuropeanCities/
Wolfram Demonstrations Project
Published: July 12 2016