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.