https://github.com/raphsenn/mandelbrot-set-visualizer-in-python

Visualizes the Mandelbrot set using the Python Imaging Library (PIL)
https://github.com/raphsenn/mandelbrot-set-visualizer-in-python

complex-numbers fractal-images mandelbrot mandelbrot-fractal mandelbrot-set mathematics maths python3

Last synced: 13 days ago
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Visualizes the Mandelbrot set using the Python Imaging Library (PIL)

• Host: GitHub
• URL: https://github.com/raphsenn/mandelbrot-set-visualizer-in-python
• Owner: raphsenn
• License: mit
• Created: 2023-04-17T07:24:16.000Z (almost 2 years ago)
• Default Branch: main
• Last Pushed: 2023-07-27T11:48:16.000Z (over 1 year ago)
• Last Synced: 2024-11-20T18:50:28.262Z (2 months ago)
• Topics: complex-numbers, fractal-images, mandelbrot, mandelbrot-fractal, mandelbrot-set, mathematics, maths, python3
• Language: Python
• Homepage:
• Size: 111 KB
• Stars: 1
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Mandelbrot-Set-Visualizer-in-Python

This is a Python program that visualizes the Mandelbrot set using the Python Imaging Library (PIL). The program generates a Mandelbrot set fractal image and saves it to the specified file location.

![example](https://github.com/raphsenn/Mandelbrot-Set-Visualizer-in-Python/assets/88326020/e8af5f44-a834-4149-885c-10b3637374cd)

# Usage

To run the program, execute the following command:

python3 mandelbrot_visualizer.py

Once the program is running, it will generate a Mandelbrot set image with the specified settings and save it to the specified file location. You can modify the settings of the image by changing the following parameters:

    c: The complex value used as the center of the image.

    w: The complex value used as the width and height of the image.

    px: The number of pixels in the x-axis.

    py: The number of pixels in the y-axis.

    m: The maximum number of iterations used to determine if a point is in the Mandelbrot set.

    out_name: The file name of the image to be saved.

# Mandelbrot Function

The mandelbrot() function takes two arguments, a complex number c and an integer m, and returns an integer that represents the number of iterations required to determine if c is in the Mandelbrot set.

# Sample Funcion

The sample() function takes five arguments, two complex numbers z and w, two integers x and y, and two integers sx and sy. It converts complex numbers to pixels.

# Color Function

The color() function takes two integers i and max_i, and returns a tuple of three integers representing the hue, saturation, and value of the color.

# Render Function

The render_mandelbrot() function takes six arguments, a complex number c, a complex number w, two integers px and py, an integer m, and a string out_name. It renders the Mandelbrot set fractal image and saves it to the specified file location.

# Example Output

Eample Output is example.jpg

# License

This program is licensed under the MIT License. See the LICENSE file for more information.