https://xkcd.com/2807 I like how the Titanic ended up in the Caspian Sea
this post was submitted on 27 Jul 2023
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So you can use any function in that map. How about log, cos, sqrt or something else. Should be fun.
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…