[math-fun] The hunt for the "true" 3D Mandelbrot - 4D?
The 3D object can be represented in 3D with the random generated buddhabrot algorithm; "Instead of selecting initial points on the real-complex plane one for each pixel, initial points are selected randomly from the image region. Then, each initial point is iterated using the standard mandelbrot function in order to test whether it escapes or not. Only those that do exit are then re-iterated. (The ones that don't escape -ie. which are believed to be within the Mandelbrot Set - are ignored)" http://www.superliminal.com/fractals/bbrot/bbrot.htm More intriguing than buddhabrots are the projections from 4D complex space into 3D, along with rotations and holographic views http://www.superliminal.com/fractals/bgram/ZrZiOut.htm cheers, Stuart
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Stuart Anderson