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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 nonlinear equation such as the Mandelbrot equation zn+1 = zn2 + p without incorporating extra graphic manipulations (such as pasting two or more images). For example, in "Mirage" above, some of the mountains were changed to clouds by a different coloring scheme. The exciting element of fractal plotting is to unearth beautiful, curious, strange or startling images hidden in an equation. If you are interested, the methods are outlined in the
Stories about Fractal Plotting and Fractal Art.
More advanced 3D fractal images such as fractal mountains that incorporate perspectives and shading 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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