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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.
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, pictures are somewhat computer-dependent. For example, my new machine that utilizes higher-precision numbers is generally incapable of producing an exact replica of my older fractal image from the same equation and the same initial value.
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