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by fizbin
4066 days ago
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Yes, it is a really weird property of 2-spheres that that holds. One consequence is that yet another way to pick a point uniformly on the sphere is to choose z ∈ [-1, 1] uniformly, then choose λ ∈ [-180°, 180°) uniformly and use the point (cos(λ)*sqrt(1-z*z), sin(λ)*sqrt(1-z*z), z)
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