Monday, June 19, 2017

The ideal and the real 2

Continuing this post, the crux of the issue is that monofractals are symmetrically self-similar at each iteration. Multifractals are not. Multifractals weave 2 or more fractals which each iterate differently creating asymmetry. Which is indeed the case with natural phenomenon; there is no ideal hill that expresses a perfect, mono- or multifractal parabola. Also note this article: 

"Hierarchical organization is a corner stone of complexity and multifractality constitutes its central quantifying concept. For model uniform cascades the corresponding singularity spectrum are symmetrical while those extracted from empirical data are often asymmetric."

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