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Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still digital images, animations, and media. Fractal art developed from the mid-1980s onwards. [2] It is a genre of computer art and digital art which are part of new media art.
The Beauty of Fractals is a 1986 book by Heinz-Otto Peitgen and Peter Richter which publicises the fields of complex dynamics, chaos theory and the concept of fractals. It is lavishly illustrated and as a mathematics book became an unusual success. The book includes a total of 184 illustrations, including 88 full-colour pictures of Julia sets.
For images of fractal patterns, this has been expressed by phrases such as "smoothly piling up surfaces" and "swirls upon swirls"; [6] see Common techniques for generating fractals. As a group, these criteria form guidelines for excluding certain cases, such as those that may be self-similar without having other typically fractal features.
Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve. The "style" of this recursive detail depends on the region of the set boundary being examined.
Fractal curves. Blancmange curve. De Rham curve. Dragon curve. Koch curve. Lévy C curve. Peano curve. Sierpiński curve. External links. Visual Dictionary of Special ...
A gallery for images of fractals. Media in category "Images of fractals" This category contains only the following file. Mandelpart2.jpg 1,024 × 768; 190 KB
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In this approach, pixels that are sufficiently close to M are drawn using a different color. This creates drawings where the thin "filaments" of the Mandelbrot set can be easily seen. This technique is used to good effect in the B&W images of Mandelbrot sets in the books "The Beauty of Fractals [9]" and "The Science of Fractal Images". [10]
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