A simple, dependency-based Python script to generate a small, high-contrast image of the Mandelbrot set and save it as a PNG file using the Pillow library.

This project is excellent for beginners interested in fractal mathematics and image processing in Python.

• Mandelbrot Algorithm: Implements the classic $z = z^2 + c$ iterative formula.
• Image Generation: Uses the powerful Pillow (PIL Fork) library for converting raw numerical data into a standard PNG image.
• High Contrast: Applies a square-root scaling function for better visualization of the fine details on the edge of the set.
• Configurable: Easily adjust the image dimensions and the zoom area of the complex plane.

You need Python 3 installed, along with the Pillow and NumPy libraries.

pip install Pillow numpy

Usage
Save the Code: Save the provided Python code as a file named fractal_generator.py.

Run the Script: Execute the script from your terminal:

Bash

python fractal_generator.py

Output

The script will generate an image file named small_mandelbrot_fractal.png in the same directory and print a success message:

✅ Success! Fractal image saved as small_mandelbrot_fractal.png with size 256x256 pixels.