Fractal Generator
Interactive simulation ā adjust parameters and watch the visualization update in real time.
How it works
Explore **Mandelbrot** and **Julia** sets via escape-time iteration **z ā zĀ² + c** (Mandelbrot: start at **z = 0** and vary **c**; Julia: fix **c** and vary **zā**). **Pan** with the mouse, **zoom** with the wheel. **Koch snowflake** is a classic self-similar curve built by replacing each segment.
Key equations
Mandelbrot: zā = 0, Ā zāāā = zāĀ² + c Ā (c scans the plane)
Julia: c fixed, Ā zā = pixel, Ā zāāā = zāĀ² + c