Iterating the Möbius transformation
My Möbius transformation explorer now allows you to draw on the screen.
https://timhutton.github.io/mobius-tr...
A Möbius transformation is f(z) = (az + b) / (cz + d) where z, a, b, c and d are complex numbers. Multiple copies of the drawing are shown, by applying multiple iterations of the Möbius transformation and its inverse.
The final view shows the stereographic projection onto the Riemann sphere.
Inspired by the excellent book "Indra's Pearls" by David Mumford, Caroline Series and David Wright. https://en.wikipedia.org/wiki/Indra%2...)