this post was submitted on 27 Jul 2023
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The Mercator projection is kinda already using cos, which the maps looks so different from a globe at the poles.
But yeah, there's bound to be some other fun ones, lat = abs(lat) being the obvious other one to try, but maybe an anti-mercator could be fun.
Normally we’re projecting a sphere on to a cylinder, cone or some fancy polyhedron. Now what if we picked a more interesting shape such as a disc, cube, saddle, donut or a banana and project on to that instead. Is there a shape that maximizes distortions in all latitude and longitudes…