Fractals, Science and Links

Fractals and Science

What are fractals?

Fractal is a term which was coined by Benoît Mandelbrot. It refers to a certain group of shapes and objects. Fractals are natural or artificial structures wich offer a high level of scale invariance or self-similarity. Scale invariance relating to fractals means that the scale is not important for the result. Structures which are scale invariant can be observed from different distances but the object always looks the same. Self similarity means that parts of the object are self similar (they contain parts of themself). Self similar structures contain parts which are similar to themselves. It is even possible that the whole structure can be found within the object (i.e. Mandelbrot Set). Because of these two attributes very complex structures can be reduced to simple rules when they are recognized as fractals.

Examples for natural fractales are:                                                         Examples for artificial fractals are:





Fern                                                                                                               Sierpinski triangle


Romanesco broccoli                                                                                   Koch snowflake

 

 

After understanding the beauty of fractals you will always try to find fractal structures in your environment. And you will find them. Fractals are more than just a mathematical theory to describe certain things. Fractals are the answer to so many different questions.​

Before he died, I tried to contact Benoit Mandelbrot to see if he had any contact with Dali. I had become convinced that not only would Dali utilize fractals heavily in his work were he alive, but he may have done so already. At a later time I'll write an article on why I feel this.

As said above, fractals are everywhere. Every breath you take sends air into the fractal network of your lungs, every pump of your heart (which in itself is fractal) sends life through the fractal network of your viens. There are mystical as well as practical qualities in fractals, and I will continue to explore these concepts.

While there are many kinds of fractals and many programs to generate fractals, I thought I'd provide links to several of what I consider the best. Most are free, so download them and get immersed in the visual qualities of fractal making. I don't believe that the world at large is ready to call a fractal art, but do believe, that utilizing fractals in the right compositions, can be immortal.





















































 

Mandelbulb 3D

Apophysis

Ultra Fractal

Fractal Explorer

ArtMatic Pro

Fractal Science Kit

J Wildfire

Mandelbulber

Fragmentarium

Books I Love

Wooden Books are all interesting, but Quadrivium and Sciencia are outstanding, check them out

For simple rules and philosophy to live a happy and peaceful life its harder to do better than The Four Agreements and The Mastery of Love

Artists and Museums I Like

Kris Kuksi

Martina Hoffmann

Dali Museum Florida

Andrew Gonzalez

Andrew "Android" Jones

Dali Museum Spain

Mati Klarwein

Andy Thomas

Ernst Fuchs

Louis Markoya

The Continuity and Evolution of Surrealist and Nuclear Mystical Art  

 Former Protege' to Salvador Dali'

© Louis Markoya 1970-2019

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