Geometrically, a Möbius transformation can be obtained by stereographic projection of the complex plane onto an admissible sphere in [math]\mathbb R^3[/math], followed by a rigid motion of the sphere in [math]\mathbb R^3[/math] which maps it to another admissible sphere, followed by stereographic projection back to the plane.[br][br]Move the sliders to see different transformations and their corresponding projections.