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s31415 In reply to Stevi0d [2009-01-14 18:15:27 +0000 UTC]

Actually this image is produced from a square lattice, in which a random vertical segment has been chosen in each square. Then, points at a fixed distance the lattice + segments are arranged on "D"s, indeed.

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Stevi0d In reply to s31415 [2009-01-14 20:36:36 +0000 UTC]

Interesting...

I can see the pattern repeated at three different scales - are there further iterations not visible at this resolution?

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s31415 In reply to Stevi0d [2009-01-14 21:02:06 +0000 UTC]

Usually, the size of the pattern is divided by two at each iteration, and the iterations stop when the pattern becomes 2000 times smaller than the original one (that's about 10 iterations). But to avoid getting a big mess, the patterns are damped according to a power law of their frequency (the parameter "beta" in SFBMII). So depending on the value of this parameter, the smallest patterns may be invisible.

It's true that in this case, with this image, the fourth iteration is not obvious, but you can see it at some particular places... for instance at the to right corner of the bottom left square

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Stevi0d In reply to s31415 [2009-01-15 10:10:25 +0000 UTC]

Thanks for the info

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