Plot function on a sphere

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Brit
Brit on 6 Jul 2012
Commented: Ryan on 21 Mar 2017
Hey guys, I was wondering if anybody knew how to plot a function, say x^2+y^2, on a sphere, where there would be a uniform sphere except at one specified area there would be this function [either denting into the sphere or morphing the sphere so that it is sticking out a bit].
Thanks in advance.

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