Here's why spheres are better than cylinders when it comes to planets: it's that stupid tan 90 degrees stuff. See for yourself:
That's why Mercator uses that ln[tan[pi/4 + phi/2]) factor - and it still stretches the crap out of the high latitudes (and can't make it all the way to the poles)!
Wednesday, December 1. 2010
Why the Earth is round
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