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Consider the iterative formula

Z' = Z^2 + C

where Z and C are complex and in the first step Z is the origin. The magnitude of Z will diverge for some starting points C but not others. The Mandelbrot Set is the set of points C on the complex plane for which the magnitude of Z does not diverge.

This very simple process creates extremely complex and interesting graphs.  That [rock].




Put your weird and wonderful Mandelbrot generator in a subpage.. I know you've written one ;)




CategoryComputing CategoryMaths CategoryGeometry CategoryFractals?

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Last edited November 25, 2008 8:56 am (viewing revision 13, which is the newest) (diff)
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