https://github.com/codebam/mandelbrot-set-generator

Mandelbrot generator using Python and Pygame
https://github.com/codebam/mandelbrot-set-generator

graphics mandelbrot pygame python

Last synced: 4 months ago
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Mandelbrot generator using Python and Pygame

• Host: GitHub
• URL: https://github.com/codebam/mandelbrot-set-generator
• Owner: codebam
• License: cc0-1.0
• Created: 2016-05-30T17:07:14.000Z (about 9 years ago)
• Default Branch: master
• Last Pushed: 2023-01-27T03:42:34.000Z (over 2 years ago)
• Last Synced: 2025-01-15T13:58:19.340Z (6 months ago)
• Topics: graphics, mandelbrot, pygame, python
• Language: Python
• Homepage:
• Size: 140 KB
• Stars: 0
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
![Mandelbrot plot](mandelbrot.png)

# Mandelbrot Generator

Written in Python, Licensed under GPLv3

## Things I did to improve speed

- Most of the speed of the program is due to me using built in python complex mathematics which are more efficient.

- Since f(x) = -f(x) it prints both sides of the image at the same time, which makes it twice as fast [[proof](https://www.lucaswillems.com/en/articles/3/mandelbrot-set-symmetry)]

- A formula [here](https://en.wikipedia.org/wiki/Mandelbrot_set#Cardioid_.2F_bulb_checking) is used to prevent the iterations of the second period bulb.

- The display is only updated when necessary since this takes a lot of resources for each pixel. It is done line by line, because doing it all at once only improves speed by a few fractions of a second and isn't worth it.