https://github.com/k3rs3d/fractal-example

Fractal generation example in Python.
https://github.com/k3rs3d/fractal-example

Last synced: about 1 month ago
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Fractal generation example in Python.

• Host: GitHub
• URL: https://github.com/k3rs3d/fractal-example
• Owner: k3rs3d
• License: gpl-3.0
• Created: 2023-08-03T01:16:59.000Z (over 1 year ago)
• Default Branch: main
• Last Pushed: 2023-08-19T23:00:05.000Z (over 1 year ago)
• Last Synced: 2023-08-19T23:30:45.930Z (over 1 year ago)
• Language: Python
• Size: 74.2 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Mandelbrot Set Generator Example 

This Python script generates an image of the Mandelbrot set, a famous fractal. The image is saved as "mandelbrot.png."

Created for my fractal tutorial here: https://kersed.net/posts/python-fractals/

## Requirements

The script requires the following Python libraries:

- PIL (Python Imaging Library)

- NumPy

You can install these dependencies using pip, like so:

`pip install pillow numpy`

## How it Works

- Defining Parameters: The script starts by defining various parameters for the image, including the width, height, complex plane bounds, maximum iterations, and color contrast.

- Generating the Fractal: A nested loop iterates over each pixel in the image. For each pixel, the script converts the pixel's coordinates to a complex number c and iterates the sequence z[n+1] = z[n]^2 + c until either abs(z) becomes greater than 2 or the maximum number of iterations is reached. The iteration count is then used to determine the color of the pixel, using the defined color contrast.

- Creating and Saving the Image: The pixel data is converted to a PIL Image object and saved as "mandelbrot.png."

## Usage

Simply run the script to generate a new Mandelbrot image: 

`python main.py`

Of course, you can change the parameters at the top of the script to adjust the size, color, and detail of the image.