Kleinian-group fractal emerges from iterating two Möbius transformations

BertChakovsky · x · 2026-09-28

A viral math post demonstrates a striking fractal: repeatedly applying two Möbius transformations z ↦ (az + b)/(cz + d) and their inverses generates a Kleinian-group limit set. Since Möbius transformations map circles to circles, intricate sphere-like structures emerge naturally in the visualization.

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