by systemtree » Fri Feb 05, 2010 12:19 pm
That is a great fractal page, but i don't think the Sugimoto image is technically a fractal. I would say it is "fractal-like," exhibiting one of the following five features (#2) noted on that page:
A fractal often has the following features:
1) It has a fine structure at arbitrarily small scales.
2) It is too irregular to be easily described in traditional Euclidean geometric language.
3) It is self-similar (at least approximately or stochastically).
4) It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).
5) It has a simple and recursive definition.
The dictionary definition might help you in this regard:
fractal
n : a geometric pattern that is repeated at every scale...
~cj
Last edited by
systemtree on Fri Feb 05, 2010 1:27 pm, edited 1 time in total.