Birth of Fractals

      In 29 December 1979 , Lorenz at the annual meeting of American Society of Science Progress made his speech about the “predictability” ,which described the chaos and the speech would be known as the Butterfly Effect. When a butterfly flaps its wing in Brazil , does it cause a tornado in Texas?

     On the other hand, a worker who had a vast knowladge about geometry also working at IBM was looking for a word to describe  one of the principles established order of a geometric nature intended-barbed, tangled, separated into small pieces, twisted, broken, scattered-some. Cigarette smoke rises into the air return in the form of some irregular spirals. A flag in the wind, waves splashing it from side to side. Tap dripping water falling at regular intervals before the order is broken later. Air behavior, the behavior of oil flowing in pipes underground, there will be chaos .. "²

     In the Euclidien geometry descrbing any object by the simpliest words in the geometry such as circle,triangle ,cone like was sufficent but in the nature we see clouds, waves, sea shores, the folds of the leaf margin, the branches of a tree, the irregular nature, such as different types of vibrations on the surface of the water, this was not easy to define simple forms.The word “Fractal” was used in scientific article which is published in the magazine American Scientific written by Mandelbroth.The article was about a question , “What is the length of the coast of Great Britain?”

     According to Mandelbroth , the clouds were not spheres , mountains were not cone-likes and the lightning does not spread in a straight line ,those things could not be defined by Euclidien geometry and needed a name to identify it.When he was looking into the Latin dictionary belonging to his son who just came back from the school , he noticed the word “fractus”.It was derived from the verb frangere and the adjectives fracture and fraction just sounded similar ergo Mandelbroth called it “fractal”.

     Chaos

      When Chaos was examined in itself the result was the concept of “self-similarity”.Thus ,Fractal meant self-similar. Self-similarity at all levels means that scale symmetry.All in all ,it means returning to the starting point , finding patterns in the patterns.

     Mandelbrot, using technology in IBM  with the latest technology of those years , he was able to transform a massive amount of data into the computer graphics which is known as "Mandelbrot set”. It shows the forms of so-called first glance, had created an endless complexity. When he entered the interesting event that took place throughout the history at similar times such as the Nile river water rise, prices of cotton, etc.The computer created the similar shapes. When you zoomed to those complex images, its complexity and diversity continued as same.Was complexity moving according to a pattern in itself?

     Throughout the history , the chaos is the very center of the creation in legends of the ancient times.In Chinese creation legend , the light rushes out from the chaos ; in Egyptian mythology , the god of Sun-Ra- was risen from chaotic floods called Nun.According to Hesiod , first of all there was chaos.

     The classical science stops when chaos starts.As long as physics has existed , the laws of nature was questioned however physicians weren’t different than uneducated people when it came down to the atmosphere, turbulent seas, the populations of wild fluctuations, the irregularity of the heart and brain vibrations says says James Gleick, " Chaos-A New Theory of Science "² in the preface of his book.

     Fractal Images

      Chaos is an art that is created by chaos philosophy ,theory and visuals, computer work-however not all of the work is done by it- working on complex mathematical without needing the know the mathematics ; worked as a photo but not taken whereas the color, light and shadow have huge importance;beginning the work with an empty screen such as starting with an empty canvas and filled with creativity by the artist,in 24-bit true color.

     As a brief scientific background information on chaos and its expositions –fractals- are used everywhere , from design of bridges, anatomy, design parameters for spacecraft began to be used in fields ranging from animations in Holywood movies, created by the visual beauty, and then after 1995 it was used as a software package by many digital artists. Expressed in complex patterns of non-linear formulas, fractal image at a later stage, starting with "self" to resemble "the visual beauty of symmetry and chaos that is within.

     A fractal image begins with progress of selecting a formula in the program.The selected formula sometimes is a simple thing just like a dot on the screen ,sometimes a blank screen or a draft.However, each point represents the very secrets of chaos and is produced by a mathmetical formula which can be complex or simple.Afterwards,anywhere in the image is selected then another formula is added to the selected area(iteration) thus a new image appears in front of your eyes.Moreover the image that is produced is transformed to  another image who has been made in the same way(twisting,breaking).If the image is completed , the layer is fixed and the other layer will be the one that you are working on until you’re satisfied.Fractal images have limited predictability and infinite amount of coincidences within itself.Fractal images are not started to become a portrait of a human nor a tree.However , in any phase of a fractal image , many unforeseen things can come up , such as in the image below the Spanish Dancer , you can have the classical art whereas in the Green Planet , you can find a simple stylized planet in symmetry.