
Kleinian & Apollonian
Kleinian Pearl Necklace
Kleinian Limit Set
The limit set of a quasi-Fuchsian group built by Grandma's recipe from tr(a) = 1.91 + 0.05i and tr(b) = 2, which gives tr(ab) = 1.91 - 1.95i and a parabolic commutator of trace exactly -2. That puncture pinches the quasicircle into four cusps at the compass points. Reduced words in the two generators are enumerated depth first, each branch stopping once the four commutator fixed points accumulate below one pixel. Luminance is log density and hue tilts with mean word depth.