Fact: a map of the Earth can either

  • accurately depict areas, or
  • accurately depict angles.

But not both. Thanks for the info, The Borsuk-Ulam Theorem. (one of its corollaries is that subsets of Rⁿ are not homeomorphic to Sⁿ)


Gerardus Mercator’s projection preserves angles…

So in summary: Maps have an awesome mathematical reason why you can legitimately make Africa look smaller than Greenland. Surely this has no impact anyone’s world view.

(Source: isomorphismes)