Take the uniform distribution on a sphere, and project it to a plane in the Riemann sphere's way, what's the resulting distribution?
Title explains it 90%.
"Uniform distribution on a sphere" means the continuous distribution, not Fibonacci lattice.
There might be two possible interpretations of Riemann sphere (plane crosses the sphere's origin, or plane crosses P(0)), but the result should only differ by a pair of scaling factors.
Is it 2D Gaussian distribution?
I'm aware that something has to be said about the complex infinity point... We should be able to ignore it since it has zero measure, please help define it correctly.