Apollonian needs JavaScript to pack circles by Descartes’ theorem.
The root quadruple is (−1, 2, 2, 3); everything else follows.
Descartes’ Circle Theorem · 1643
Apollonian
Three kissing circles seed the gasket. Every gap admits
exactly one more
— its curvature a whole number — and every arrival opens three new gaps. The descent has no floor.
Magnification
10
2.0
Circles born
5
Reflections deep
0