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Morph Sphere to Disc

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By removing a single point from the sphere (here, the south pole), we can smoothly deform the sphere into a disc. The transformation shown here preserves the distance from any point on the sphere to the north pole.

Contributed by: Aaron Becker (February 2012)
Open content licensed under CC BY-NC-SA

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The sphere and disc shown here are parameterized by and . The sphere coordinates are given by , while the disc coordinates are .

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