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African Union joins calls to end use of Mercator map that shrinks continent’s size
(www.theguardian.com)
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Well, modifications to Mercator world maps are not a bad idea, people genuinely don't understand the size differentness (both ways - equatorial ppl how smol northern & southern territories are & the other way around, eg Europeans how big most of Africa is in comparison).
The bad part of normalising anther type of sphere projection for this purpose is that it almost certainly wouldn't follow just one simple rule like Mercator's. And with that exact predictability actually diminished in a way.
Eg, we could try to keep countries as close to the same-ish size & in return shrink (or have gaps in) oceans. Or keep smaller gaps between counties/some squares. Or have several different projections merged into one global map. Etc.
All of it is always arbitrary.
The true answer is only education (not necessarily, but preferability in early school days).
wiki/Waterman_butterfly_projection: