Fall Out

Mapping a rotating circle on the sphere to the plane. Here's the map: first, send (almost every) point on the sphere to the point on the \(z=1\) plane contained in the same line through the origin. Then, invert the plane in the unit circle.

Source code: http://community.wolfram.com/groups/-/m/t/1239487 https://mathstodon.xyz/media/rvfCLd5FWXOaBnaxs6Q