The recursive limit set of a Schottky group, built up generation by generation via circle inversions on a glass sphere
A pair of generating Möbius transformations (circle inversions) applied recursively to build up the limit set of a Schottky group, shown via domain coloring on a glass sphere. The construction stages through five generations before restarting, revealing how the fractal boundary emerges from simple circle-to-circle maps.
Controls: Click and drag to orbit, scroll to zoom.