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Tiny Fractals

Tiny Fractals - 153 bytes

Vitor Bosshard (algorias)



A tiny iterated function system, generates a Sierpinski Gasket and other fractals.

from pygame import*
for e in l:

And here's the code in compact form:
from pygame import*;w=256;z=w,w;l=[z];d=display;s=d.set_mode(z)
for e in l:x,y=e;s.set_at(e,e+e);x/=2;y/=2;l+=(x,y),(x,y+w),(x+w,y+w);d.flip()


Added 2 bytes, enabling 2 major features. A 256*256 screen which eliminates rounding errors, and a color gradient.

The screenshot includes 5 alternative versions made by juggling around the order of x and y.


Home Page:


click to view original size


Tiny Fractals - 145 bytes - Aug 16, 2008
Tiny Fractals - 153 bytes - Aug 2, 2008
Tiny Fractals - 151 bytes: Now with memory leak! - Aug 2, 2008
Tiny Fractals - 164 bytes - Aug 1, 2008
Tiny Fractals - 172 bytes - Jul 31, 2008
Tiny Fractals - 175 bytes - Jul 31, 2008 account Comments

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August 23, 2008 2:19pm - Vitor Bosshard - nickname: (algorias)
No, replacing 2 instances of z with (w,w) is longer than the current setting.
August 17, 2008 9:38am - Ian Mallett - nickname: (geometrian)
You can make the 145B version shorter by replacing "z" with "w,w" and removing line 3.
July 31, 2008 7:50pm - Vitor Bosshard - nickname: (algorias)
No special name, just Sierpinski's triangle (or gasket). The reason the code is so short is because what I hardcoded is actually a simplified version of a more complex formula you can use to create pretty much any fractal you want.
July 31, 2008 2:46pm - Luca Fabbri - nickname: (keul) - 4/5
Next time insert your code inside a <pre> </pre> so your spaces will be preserved.
July 31, 2008 1:13pm - Ian Mallett - nickname: (geometrian)
HTML doesn't like special characters. Oh well.
July 31, 2008 1:12pm - Ian Mallett - nickname: (geometrian)
That's what I thought, but the Sierpi&#324;ski Gasket is normally constructed with an equilateral triangle. I was wondering if there is any special name for one with a right triangle.
July 30, 2008 11:59pm - Jordan Trudgett - nickname: (tgfcoder)
Sierpinski's Triangle.
July 30, 2008 11:26pm - Ian Mallett - nickname: (geometrian)
This code is amazingly simple. What is this fractal called?
July 30, 2008 10:23pm - Vitor Bosshard - nickname: (algorias)
Thanks, fixed it now, except for indentation after the while statement.
July 30, 2008 9:52pm - Ian Mallett - nickname: (geometrian)
Put <br> after each line.
July 30, 2008 7:59pm - Luke Endres - nickname: (besktrap)
You don't post your code; you should zip your program, host it on a file hosting website (such as put that link as the source/homepage here at pygame! cheers!
July 30, 2008 7:44pm - Vitor Bosshard - nickname: (algorias)
When I post the code, it kills all my line breaks. Can anyone help?

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