Apollonian Gasket
Descartes' theorem + a hyperbolic symmetry flow. Drag anything; hit Dive.
∞ Infinite zoom
▶ Dive
Speed
0.12
Camera
Flow through itself (seamless)
Dive into attractor
Dive zoom
3.0
Reverse direction
Show fixed points
The gasket is invariant under a Möbius map built from inversions in its dual circles. Animating that map flows it through itself and loops seamlessly.
Seed circles (radii)
Circle A
1.00
Circle B
1.00
Circle C
1.00
Equal radii give the classic symmetric gasket; uneven radii skew it.
Generation
Max recursion depth
40
Detail (min radius px)
1.0
Appearance
Color by
Curvature (hue)
Recursion depth
Angle rainbow
Monochrome
Line width
1.0
Fill circles
Show outer frame
Show curvature numbers
Presets
— pick a preset —
Symmetric (1,1,1)
Bowl (1,1,1.6)
Skewed (0.5,1,2)
Twin small (1,.42,.42)
Crescent (2.6,.5,.6)
Randomize
Save PNG
Stats
Circles drawn
0
Zoom multiplier
0
Frame
0 ms