Julia Set Explorer
Every complex number c has its own Julia set: the points z where iterating z ← z² + c stays bounded forever. This explorer renders the set live as you slide the real and imaginary parts of c, passing through fat connected blobs, lightning-like dendrites and disconnected Cantor dust. Presets jump to famous parameters like the Douady rabbit, the dragon and the San Marco set, and the escape-time colouring shows how fast outside points flee to infinity.
Runs 100% in your browser — simulations are computed locally on your device.
Read the full guide to this tool
Notes
- The Julia set is connected exactly when c belongs to the Mandelbrot set — otherwise it shatters into dust.
- Escape-time colouring: a point is coloured by how many iterations |z| needs to exceed 2.
- Tiny movements of c near the Mandelbrot boundary produce dramatic changes in the Julia set’s shape.
- Runs 100% in your browser — simulations are computed locally on your device.
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