Milos Djukic in Fractals Forever, beBee in English, Scientists and Research Associate Professor • University of Belgrade, Faculty of Mechanical Engineering Sep 1, 2016 · 1 min read · 14.6K

Fractals, Beauty of Complexity (and Chaos)


Self-similarity (Fractals) on all scales may be the secret key to understanding the complex phenomena. Self-similarity on rather different scales is another proof of fractal nature of cosmology.


Fractals, Beauty of Complexity (and Chaos)


Multiscale modeling of physical phenomena and matter-materials response on different length scale represent powerful tool in modeling. This approach presents a breakthrough in the phenomenological analysis of complex phenomena.

The fractal nature of the fracture process and the geometry of a crack are well described in the literature. For fractal geometry in physics, I suggest you to study the “Hofstadter’s butterfly” – mathematical object describing the behaviour of electrons in a magnetic field.

Fractals are beautiful objects. It is a natural response to the beauty of complexity. Fractal forms and patterns are all around us. Salvador Dali was one of the pioneers in the use of fractals in art (“Visage of War”, 1940).

Also look up the painting: ” The Great Wave off Kanagawa”, 1829–32 by Katsushika Hokusai and you will see one of the greatest fractal art examples.


Fractals, Beauty of Complexity (and Chaos)

The Linux Kernel Graphing Project by Rusty Russel by Visual Complexity


Daniel E. Berlyne pointed out in his book “Aesthetics and psychobiology” (1971) that perceptions of beauty increase linearly with visual complexity, until an optimum level is reached and then decrease.

Some scientific research has clearly indicated that fractal patterns (fingerprints of nature) have also an impact on a stress relief.

Microscopy is an ideal research tool for sure. I see them more by microscope, but also in everyday life. Discover and enjoy.


Indeed, after many years, Prof. Mandelbrot valuable work and fractals are still alive. The near future will show us what is the impact of these extraordinary findings.


Fractals Forever.


All text Copyright 2014 by Milos Djukic - All Rights Reserved


This post was originally published on LinkedIn, May, 2014.


1. Fractal art by Tom Beddard: https://www.fastcodesign.com/1663384/fly-above-a-world-of-fractals-right-in-your-browser-video

2. The Linux Kernel Graphing Project by Rusty Russel: http://fcgp.sourceforge.net/lgp/index.html

3. Tom Beddard Grows Fractals Into Works of Art: https://www.fastcodesign.com/1663070/tom-beddard-grows-fractals-into-works-of-art

3. Insanely deep fractal zoom: http://kottke.org/10/02/insanely-deep-fractal-zoom 

4. Fractal Lab: http://sub.blue/fractal-lab

5. Subblue, Work by Tom Beddard: http://sub.blue/

6. Visual Complexity: http://www.visualcomplexity.com/vc/







Timothy welch Jun 13, 2019 · #125

Milos the fractal man and his piece is on the move again !!

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Zacharias 🐝 Voulgaris Jun 13, 2019 · #124

Fractals are fascinating creatures. However, the self-similarity attribute that often is referred to as their primary characteristic is *not* always the case. Check out this video that explains it better than words could: https://www.youtube.com/watch?v=gB9n2gHsHN4

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Fractals forever!

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Cyndi wilkins Jun 12, 2019 · #122

This is one of those buzzes that keeps on giving...We are all fractals in consciousness...all self-similar pieces of the 'whole' ...making up the different aspects of the our beingness...What separates us into 'singularities' is the chaos within the whole.

Nice to see this one come around again @Milos Djukic;-))

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The fractal @Milos Djukic- good buzzes keep their value as this one did. One thing that surprised me is the number this buzz has in spite that many readers aren't familiar with complexity and fractals. This shows the value of effective communication and its impact. You are an outstanding example. Fractals forever

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Alan Culler Jul 30, 2017 · #120

Hello @Milos Djukic
I enjoyed this post tremendously.
"Self-similarity (Fractals) on all scales may be the secret key to understanding the complex phenomena. Self-similarity on rather different scales is another proof of fractal nature of cosmology." It is more than pretty pictures.

There seems to be an order in how complex systems break into chaos or emerge from chaos, as evidenced by pictures of fractals, or the Belisof Zhabotinsky reaction https://www.youtube.com/watch?v=3JAqrRnKFHo or the triple spiral design on the curbstone at the 5000 year old megalithic monument tomb at Newgrange in Ireland https://www.dreamstime.com/royalty-free-stock-photos-megalithic-passage-tomb-newgrange-ireland-image19515648 .

What is the implication of the fractal nature of cosmology or the orderly emergence from chaos for such complex systems as organizational behaviour or national or international political or economic systems? How extensive is the reach of the quantum world?

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Maite Barroso Del Cerro Jul 29, 2017 · #119

Yes it is beautful!

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Milos Djukic Apr 16, 2017 · #117

#116 Thank you Solomon. We learn together.

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