topology · chaos · fractal boundaries
click render to compute basins
The Wada property is one of topology's most unsettling facts: three open sets can be arranged so that every point on any boundary simultaneously borders all three regions.
Here a pendulum swings above three magnets arranged in a triangle. Drag controls the damping and magnet strength. The fractal tendrils interleave infinitely — zoom deep and the three colors always reappear together at every boundary.
Click on the canvas to drop a test trajectory and watch it spiral toward one attractor.