Morph Sphere to Disc
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.
The sphere and disc shown here are parameterized by and . The sphere coordinates are given by , while the disc coordinates are .
"Morph Sphere to Disc"
Wolfram Demonstrations Project
Published: February 21 2012