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Mirage in the Painted Desert
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Fractal Art Main Gallery
Every fractal image in this gallery was generated by iterating a single dynamical system such as the Mandelbrot equation zn+1 = zn2 + p strictly following the basic methods illustrated by Stories about Fractal Plotting and without using extra graphical manipulations (such as pasting two or more images) made available by graphics software. For example, in "Mirage" above, the mountains beyond certain distance were altered to clouds by simply changing the coloring scheme. It is generated by the logistic equation zn+1 = p(1 - zn) zn. The exciting element of fractal plotting is to unearth beautiful, curious, strange or startling images hidden in an equation.
More advanced 3D fractal images such as realistic fractal mountains with natural shadings are shown in the Fractal Art Gallery Annex.
Click on any of the pictures below to see a larger version or a group of pictures having the same motif. Some of the pictures accompany technical descriptions that make reproductions possible. It is interesting to note, however, that because of the chaotic nature inherent to nonlinear equations, fractal images are somewhat computer-dependent. So, don't be alarmed if you try it out using your newest machine/compiler that utilizes higher-precision numbers and don't get exactly the same pattern.
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