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Explanation of the fourth reason:
Observe this helpful visualization by @.DueK__ 
SirChadsalot: That "Aviophobia" is a mysterious one
Aviophobia: 
Me: Yeah, I get what you mean 
Geometry: Due to the difference in curvature, it is impossible to accurately map points on a sphere to a 2D plane.
Humans: *Intense thinking*
Humans: I got it
...
Geometry: What the hell are you even trying to do?
Humans: :)