Geometry Lies Beneath

ulaulaman:

This beautiful animation was created by Malin Christersson with GeoGebra. On her site you can find a very complete and interesting tutorial.

Geometrically, a Möbius transformation can be obtained by first performing stereographic projection from the plane to the unit two-sphere,…

Möbius transformations are the invariants of a kind of geometry called Inversive, in which points, lines, and circles can be reflected in circles.

(via ulaulaman)