Am 27.08.2016 um 01:18 schrieb lelama:

> You parametrize your sphere by t,y using the formula  x= r cos t, y,z= r sin t
> with  y in [-1,1] and r=sqrt(1-y^2).
> 
> Then you choose t uniformly, and for y, you choose your distribution as you want
> (this is you free parameter). Then the density around a point x,y,z depends only
> on y.
...
> This shoud satisfy all your needs if I'm not wrong.

Gee, I you have indeed nailed it!

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