A method for quadratic accuracy interpolation on a sphere

rauan234 · July 27, 2021, 6:48am

wolframcommunity · July 27, 2021, 2:00pm

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tedersek · August 16, 2021, 5:32pm

That is wonderful. I looked into how we can make a good triangulation of a sphere surface, and found two methods below that work very well.

Needs["PolyhedronOperations`"]
Geodesate[PolyhedronData["Icosahedron"],10]

Graphics3D[ConvexHullMesh[SpherePoints[1000]]]

rauan234 · August 17, 2021, 9:46am

Thank you! That seems very interesting. Too bad (or good?) you didn’t respond earlier, as I’ve already bothered to come up with a triangulation technique that also works quite well. It starts with an icosahedron and divides each triangle into four smaller triangles during each iteration:

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A method for quadratic accuracy interpolation on a sphere

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