The Apollonian Spider IV - Möbius Transformations
This part highlights some properties of Möbius transformations. Especially the relation to rotations of the Riemann sphere are shown. Two Möbius transformations are used to set up Shottky discs and to construct a Kleinian fractal.
The link to the interactive Kleinian fractal generator:
https://cindyjs.org/gallery/main/Klei...
The two parameters are the traces of the matrices that represent the two Möbius transformations a and b.
The following hdri images have been used for rendering:
https://polyhaven.com/a/qwantani_puresky
https://polyhaven.com/a/belfast_sunse...