This simulation allows you to explore the Mandelbrot Set by adjusting the initial value z0 and observing how the fractal boundary changes. Learners can zoom into different regions, modify color palettes, and manipulate real and imaginary axis ranges to discover the infinite complexity and self-similarity of fractals.
Learning objectives: Understand how iterative functions generate the Mandelbrot Set | Explore the relationship between initial conditions (z0) and fractal patterns | Develop intuition about complex numbers and their geometric representation