Click to release pendulum. Colors show which magnet captures it. Fractal structure at boundaries.
Three magnets at 120° apart, pendulum released from rest.
Equations of motion (overdamped):
ẍ = -γẋ - x + Σ Fᵢ
ÿ = -γẏ - y + Σ Gᵢ
Magnetic force ∝ 1/(r²+h²)^(3/2), repels when near.
Magnets:
Magnet 1 (Red)
Magnet 2 (Green)
Magnet 3 (Blue)
The boundary between basins is a fractal — zoom in and you find all three colors at every scale.
Click the basin to see trajectory.