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.
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.
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.
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/
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Komentari
CityVP Manjit
pre 4 godine #75
Great idea to refresh this from the beBee honeycomb. Amazing that it was 3 years ago when this was first posted yet I agree it retains its fractal brilliance, the symmetry of excellence keeps getting better with every revival of this buzz.
Ali Anani
pre 4 godine #74
Bill Stankiewicz
pre 4 godine #73
🐝 Fatima G. Williams
pre 4 godine #72
I agree this is a beautiful article and can be read a thousand times
Javier Cámara-Rica 🐝🇪🇸
pre 4 godine #71
Zacharias 🐝 Voulgaris
pre 4 godine #70
Cyndi wilkins
pre 4 godine #69
Ali Anani
pre 5 godina #68
Alan Culler
pre 6 godina #67
Milos Djukic
pre 7 godina #66
Thank you Solomon. We learn together.
Gert Scholtz
pre 7 godina #65
Milos Djukic
pre 7 godina #64
Gerald Hecht🚀 :)
Milos Djukic
pre 7 godina #63
Thanks Ben roberts.
Milos Djukic
pre 7 godina #62
Milos Djukic
pre 7 godina #61
Franci Eugenia Hoffman, Thanks for the share!
Milos Djukic
pre 7 godina #60
Franci Eugenia Hoffman, That was our communion and the butterfly effect. Thanks a lot for the endorsement. I greatly appreciate your kindness.
Milos Djukic
pre 7 godina #59
beBee is fractal social network (one and only), therefore I am not surprised :) Thank you all! Cheers, Milos
Milos Djukic
pre 7 godina #58
Irene Hackett, Thanks for the share!
Milos Djukic
pre 7 godina #57
Thank you siraj shaik.
Milos Djukic
pre 7 godina #56
I couldn't agree more with you Ben Pinto.
Milos Djukic
pre 7 godina #55
🐝 Fatima G. Williams
pre 7 godina #54
Thank you Paul \. I'm joining that hive right away 💃💃💃 .
🐝 Fatima G. Williams
pre 7 godina #53
Awww that's an honor 3F- Fractal Fatima Forever I had to type it again 🤗🤗🤗🤗🤗 - I just love the sound of that. Thank you Milos Djukic the world becomes a better place because of people like you.✋✋✋✋✋ Virtual High five
Lisa Gallagher
pre 7 godina #52
Great idea Paul \ ! When I created my stories hive, that's one of the reasons I added diverse to my description because I also add to it material I want to read but may not be able to right away, even video's that I like.
Milos Djukic
pre 7 godina #51
Thank you so much for the kind words dear Fatima Williams. I'm honored by your words. 3F - Fractal Fatima Forever :)
Milos Djukic
pre 7 godina #50
Me too :)
Milos Djukic
pre 7 godina #49
I couldn't agree more Paul \. Thanks.
🐝 Fatima G. Williams
pre 7 godina #48
Thanks Paul \ I always email some of the buzzes to myself to read them later at a more relaxed time. So I wont have to go searching 🤔😎😎😎 Thanks for the mail to url option I googled it already 😇😇 But I would love to have the easy email option though ☺☺☺☺
Milos Djukic
pre 7 godina #47
Thank you .
Milos Djukic
pre 7 godina #46
I am glad to hear that Antoinette Capasso-Backdahl. Cheers, Milos
Milos Djukic
pre 7 godina #45
Dear Qamar Ali Khan, Thanks for all you’ve done for me. You always make a difference to my life. ”Gratitude is not only the greatest of virtues, but the parent of all the others.” - Cicero
🐝 Fatima G. Williams
pre 7 godina #44
🐝 Fatima G. Williams
pre 7 godina #43
Qamar Ali Khan
pre 7 godina #42
Milos Djukic
pre 7 godina #41
Thanks Aaron Skogen! We learn more when we learn together.
Milos Djukic
pre 7 godina #40
Thank you dear Joanna Hofman!
Milos Djukic
pre 7 godina #39
Milos Djukic
pre 7 godina #38
Michael Angelo Icarus Yusufidis, I am glad to hear that, Please keep going.. Best, Milos
Milos Djukic
pre 7 godina #37
Franci Eugenia Hoffman, Thank you. "Remember that you must at all costs remain self-similar..I call it virtual synchronicity or a fractal alignment (I'm not the only one)" - Fractals forever.
Milos Djukic
pre 7 godina #36
Milos Djukic
pre 7 godina #35
Irene Hackett :)
Milos Djukic
pre 7 godina #34
You are most welcome dear Aurorasa Sima :)
Milos Djukic
pre 7 godina #33
Michelle Trenta forever.
Milos Djukic
pre 7 godina #32
Tag Aurorasa Sima :)
Milos Djukic
pre 7 godina #31
Your thoughts are very inspired Praveen Raj Gullepalli. Your comment is more like a joy. The written word is the most powerful weapon in the hands of those who strive for truth. You gave us homework and thank you for that. Simply superb comment from fractal mind.
Milos Djukic
pre 7 godina #30
Thanks Pascal Derrien.
Milos Djukic
pre 7 godina #29
There is something so essential when it comes to fractals Irene Hackett. It is hard to explain. Beauty and order in disorder, more like an applied chaos. Once again thank you.
Milos Djukic
pre 7 godina #28
Mamen Delgado, Have a great weekend and please enjoy. Thanks. Kindly, Milos
Milos Djukic
pre 7 godina #27
Understanding is the key Ivan Campos. Thanks for your comment.
Milos Djukic
pre 7 godina #26
Oh and this is great news. I am not surprised having in mind who is mom Irene Hackett. "Do not disturb my circles" :) Cheers
Milos Djukic
pre 7 godina #25
Thank you Frans van Wamel, my friend!
Mamen 🐝 Delgado
pre 7 godina #24
Pascal Derrien
pre 7 godina #23
Milos Djukic
pre 7 godina #22
Milos Djukic
pre 7 godina #21
A very interesting observation Aurorasa Sima and true.
Milos Djukic
pre 7 godina #20
Great suggestions Alan Geller! I have chosen: Milos F. Djukic (F. means a Fool) :) Fools and fractals forever :)
Milos Djukic
pre 7 godina #19
Aurorasa Sima :))) 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. Too much complexity being bad, I guess, then the chaos prevails :) "Beauty of Complexity (and Chaos)", together?
Milos Djukic
pre 7 godina #18
Thank you for the kind words debasish majumder.
Milos Djukic
pre 7 godina #17
I was also thrilled Aurorasa Sima :) And it is real not an art.
Milos Djukic
pre 7 godina #16
Milos Djukic
pre 7 godina #15
Milos Djukic
pre 7 godina #14
Gert Scholtz
pre 7 godina #13
Gert Scholtz
pre 7 godina #12
Milos Djukic
pre 7 godina #11
That's the reason for Linux superiority and possibly penguins, I guess :)
Milos Djukic
pre 7 godina #10
I am so glad to hear that Gert Scholtz, my friend. For more details please check this paper: Dominik Strzałka, Fractal Properties of Linux Kernel Maps, (2012) Computer Science and Engineering 2(6),:pp. 112-117 (http://article.sapub.org/10.5923.j.computer.20120206.05.html) cc. Phil Friedman The difference between complex and complicated systems is quite subtle: the complicated system is a system that has many interdependent elements, but the dependencies between them are governed by well-known deterministic laws (i.e. such systems are rather simple systems), while in the case of complex systems the dependencies between their components are governed by laws that are not necessary well-known. See the details in [1] [1] F. Grabowski, D. Strzałka, Simple, Complicated and Complex Systems – The Brief Introduction, 2008 Conference On HSI, 1-2 (2008) 576–579.
Gert Scholtz
pre 7 godina #9
Milos Djukic
pre 7 godina #8
Lada 🏡 Prkic
pre 7 godina #7
Milos Djukic
pre 7 godina #6
Milos Djukic
pre 7 godina #5
Milos Djukic
pre 7 godina #4
David B. Grinberg
pre 7 godina #3
Sara Jacobovici
pre 7 godina #2
Lisa Gallagher
pre 7 godina #1