Fractal art is created by calculating the self-simularity of objects and representing that calculation as still images and animations for use in visual media.
Iterated functions in the complex plane were investigated in the late 19th and early 20th centuries by Henri Poincaré , Felix Klein , Pierre Fatou and Gaston Julia . However, without the aid of modern computer graphics, they lacked the means to visualize the beauty of many of the objects that they had discovered.
Finally, in 1975, Mandelbrot coined the term fractal to describe these structures, and published his ideas in Les objets fractals, forme, hasard et dimension (1975; an English translation Fractals: Form, Chance and Dimension was published in 1977). He illustrated this mathematical definition with striking computer-constructed visualizations.
These images captured the popular imagination; many of them were based on recursion, leading to the popular meaning of the term "fractal".
Sierpiński Triangle ..... and ..... Koch Curve
My favourite way of creating fractal designs is by using public formulas, then finding a symmetrical or special area to frame and then adjust the variables in colour algorithms and formulas to change the effects. I can spend from 2 hours to 2 months before one is ready for print.
I create my fractal art as still prints and animations.
The original still pictures are rendered @ 600 dpi (print) = 4960 X 7016 pixels, or A4 size. The samples are reduced on the webpage to 800x600 pixels.
ENJOY!
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