This Python project visualizes the Mandelbrot set, a famous fractal representing the set of complex numbers for which a particular mathematical sequence does not diverge. The program generates and displays an image of the Mandelbrot set using NumPy and Matplotlib.

• Generates a Mandelbrot set image with customizable resolution and bounds.
• Displays the Mandelbrot set in an interactive plot with a color-coded iteration count.
• Allows you to explore and experiment with different parameters, zoom levels, and resolutions.
• The mandelbrot_dynamic.py script allows you to visualize the Mandelbrot set dynamically with an animation.

• Python 3.7 or newer
• Libraries:
  • numpy
  • matplotlib

1. Clone or download this repository:

   git clone https://github.com/your-username/mandelbrot-visualization.git
   cd mandelbrot-visualization

2. Install the required Python packages:

   pip install numpy matplotlib

1. Run the script:

   python mandelbrot.py

2. Adjust parameters in the script, such as:

• width and height: Resolution of the generated image.
• x_min, x_max, y_min, y_max: Bounds of the complex plane to explore.
• max_iter: Maximum iterations to determine divergence.