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this post was submitted on 01 Nov 2025
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The gnomonic projection renders all great circles as straight lines. Though of course that doesn't show the entire earth at once, so it's kinda cheating.
But yeah, you can't map a 3D object onto a 2D plane without distorting it in some way, you just need to pick the distortions that interfere the least with what you're using the map for. As they say, all maps are wrong, some maps are useful.
You get it! Mercator is great unless it's shaping one's idea of the world as a whole, which is of course best done with a globe. Cutting a square out of it whose side length is up to cca 10° of longitude will always result in a near-perfect and useful map (unless you are near the pole, then the covered area is just too tiny to be useful).