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Which airport is closest to you?

The dots in this graphic by Jason Davies show the major airports of the world. Each region consists of the points that are closer to a particular airport than to any other. For example, the irregular pentagonal light green area containing Iceland (near the top of the picture) shows all the places for which Reykjavik is the nearest major airport.

Jason Davies' website (https://www.jasondavies.com/maps/voronoi/airports/) has an interactive version of this map, in which the airports are labelled. The globe can be spun and twisted, and you can zoom in and out.

The furthest place in the world from a major airport is in Antarctica, which is perhaps not a surprise given that there are no large airports on that continent. It lies 5173.7km from each of the three nearest airports.

Mathematicians call a picture like this a Voronoi diagram. The individual regions are called Voronoi cells, and the points (airports in this case) are often called sites. Wikipedia has a nice page on Voronoi diagrams here (http://en.wikipedia.org/wiki/Voronoi_diagram).

(Seen via +Marjolein Caniels.)

#mathematics
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