/Sierpinski

A simple program showing the Sierpinski triangle

Primary LanguagePython

Introduction

This project provides a script generating the Sierpinski triangle, a fractal.

The Sierpinski triangle

The way it is obtained is of particular interest:

  1. start by drawing 3 points, the vertices of a triangle
  2. draw a 4th point wherever you want (better on the inner surface of the triangle)
  3. randomly chose a vertex and draw a point exactly at half distance between the last point drawn and the vertex chosen
  4. repeat the operation as much time as you want and you'll always obtain the fractal image

Project info

  • main.py

This file contains the main program. You can choose the starting point and the number of total points drown by editing the attributes start_pt and total_pt. You can also select a different color through the color attribute for a bunch of things: the colors available are listed in the module colors.py. If the color provided doesn't exist or no color is provided, every point will have a random color from the ones of the module above mentioned.

  • colors.py

This file contains a dictionary and a list with 9 of the main RGB colors.
The structs can be extended by adding extra colors.

Required Modules

The program requires Pillow and random modules to execute.

Example

background_color = c.colors_dict['black']   # set the background color
start_pt = (560, 380)                       # set the position of the first point
start_pt_color = c.colors_dict['white']     # set its color
color = 'lime'                              # set the color for all others point
total_pt = 1000000                            # set the number of points to draw

The result should look like this:

alt text