Apollonian Gasket

Recursive circle packing where every gap is filled by the largest tangent circle.
Fractal dimension ≈ 1.3057

Max depth: 6 Color scheme: Rainbow Min radius: 2px

Circles: 0

Depth: —

Descartes Circle Theorem:
(k₁+k₂+k₃+k₄)² =
2(k₁²+k₂²+k₃²+k₄²)
where k = 1/r (curvature)

Fractal dim ≈ 1.3057
(Boyd 1973, McMullen 1998)