It's much easier to see the structure in the colored ones than in the monochrome ones because of a happy coincidence: yellow and green are brighter than blue and red and they're adjacent, respectively, which means that at iteration 2, there's a dark C-shaped curve on a pale background. This echoes the C shape of the underlying unit, but makes it stand out from the background. If you re-render your monochrome ones but use black for 0,3 and white for 1,2, you'll get much clearer structure. On Sun, Apr 13, 2008 at 5:23 PM, Jason <jason@lunkwill.org> wrote:
I wrote up a little program to generate .xpm images of iterations of Hilbert where pixels are of this form:
32 01
Where 0-3 are either shades of gray or R,Y,G,B. Sources, binaries and PNG images here, with both images in their original (mostly tiny) sizes and scaled to a uniform 2048x2048 size:
http://lunkwill.org/src/hilbert/
So, for instance, you might go here: http://lunkwill.org/src/hilbert/color/
Then look at these: http://lunkwill.org/src/hilbert/color/scaled-1.xpm.png http://lunkwill.org/src/hilbert/color/scaled-2.xpm.png ...
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