📖 About This Experiment
The Mandelbrot set is a famous fractal defined by the iterative formula z = z² + c. Points that remain bounded under iteration belong to the set. This experiment visualizes the set in 3D, where height represents how quickly points escape to infinity.
💡 Key Concepts
- •Complex Numbers: Numbers with real and imaginary parts
- •Iteration: Repeatedly applying a function
- •Self-Similarity: Patterns repeat at different scales
- •Fractal Dimension: Non-integer measure of complexity
- •Escape Time: How fast values diverge to infinity
🔢 Key Formulas
Mandelbrot Iteration
z(n+1) = z(n)² + c
Escape Condition
|z| > 2 (diverges)