Making accurate world maps is mathematically impossible.
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Maps are flat representations of our spherical planet. Johnny Harris cut open a plastic globe to understand just what it takes to turn a sphere into something flat.

His struggle to make a flat map out of the plastic globe is indicative of a challenge mapmakers have faced for centuries: It is mathematically impossible to translate the surface of a sphere onto a plane without some form of distortion.

To solve this problem, mathematicians and cartographers have developed a huge library of representations of the globe, each distorting a certain attribute and preserving others.

For instance, the Mercator projection preserves the shape of countries while distorting the size, especially near the north and south pole.

For a more accurate view of land area look at the GallPeters projection, which preserves area while distorting shape.

In the end, there's not "right" map projection. Each comes with tradeoffs, and cartographers make projection decisions based on the particular tasks at hand. But if you are interested in seeing an accurate depiction of the planet, it's best to stick with a globe.

Interact with projections: http://metrocosm.com/comparemapproj...
Mercator tool: http://thetruesize.com/
Mike Bostock Map Transitions: http://bl.ocks.org/mbostock/3711652
Mercator Puzzle: http://hive.sewanee.edu/ldale/maps/10...

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