Description
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A fractal wallpaper generated using the Barnsley^2 function in XaoS
Fractals are mathematically defined patterns with practically infinite complexity and a measure of self-similarity at increasingly large magnifications, or, as Mandelbrot defined them; “a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced/size copy of the whole.” (Mandelbrot, 1982)
In this particular image, you can see seemingly a seemingly infinite repeating pattern of smaller and smaller ‘hexagonal spokes’. These continue getting smaller, with slight variations in the pattern, until my computer becomes too imprecise to calculate the pattern any further. This image makes for a nice, understated wallpaper that still elicits a ‘wow’ from anyone who actually looks at it. :)
Image released under Creative Commons by-nc 2.1 (au) license as per here: http://creativecommons.org/licenses/by-nc/2.1/au/ .
-Li-aung ‘lws’ Yip