Redrawing the map using math leads to some beautiful results

The boundaries of states are so engrained in our minds that it can be hard to look at the earth without dividing it into political regions. For example, what would the map of the world look like if each country only controlled all the land closer to its capital city than any other country's capital? Data visualization freelancer Jason Davies has had fun exploring these ideas using mathematics. With algorithms and the right datasets, he splits the planet into regions that contain only the land nearest a certain point — say, a capital city.

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