![]() ![]() ![]() A computer is required to perform, at the direction of the artist, the necessary calculations that transform the fractal from its native form – a mathematical formula – into shapes we can see but it has very little to do with aesthetics. įractals, like photographs, depict objective realities that already exist. Recently developed software such as Ultra Fractal and XenoDream now offer users many powerful and versatile features – the capability to layer and combine fractal elements together for example – that enable skilled artists to achieve striking artistic effects. As more diverse calculation formulas and coloring algorithms were written, placing greater creative control in the hands of the fractal explorer, some enthusiasts began to view and classify these fractal images as art. They discovered shapes that were at times familiar yet almost other-worldly and generated thousands of visually interesting images. Using self-written programs or the popular freeware program, FractInt, early fractal explorers shared a fascination with the self-similarity and surprising complexity of the Mandelbrot and Julia sets. ![]() Fractals have the characteristic of infinitely repeating self-similarity that one sees in nature: in ferns, trees, mountains, and coastlines.įractals have been studied by mathematicians for the last hundred years, but it was Scientific American's 1985 article about Benoit Mandelbrot's discoveries that introduced the general public to fractal geometry. The fractal's shapes, colors, and textures are all controlled by these formulas, which are, in turn, controlled by the artist's manipulation of their parameters. Fractals are geometric representations of certain specialized mathematical formulas.
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