How Do You Parametrize A Sphere? [Solved]

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How Do You Parametrize A Sphere? [Solved]

We can parametrize the sphere of radius R centered at the origin by writing r(u, v) = 〈R sin(u) cos(v),R sin(u) sin(v),R cos(u)〉, for (u, v) ∈ [0,π] × [0,2π]. Note that those are the same functions as the ones defining spherical coordinates, except we’ve replaced φ by u and θ by v.

parameterization of a sphere

Here’s another classic example we’re going to find the

Surface integral example part 1: Parameterizing the unit sphere | Khan Academy

Visualizing a suitable

16.6.2 Parametrization of a sphere

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