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Mandelbrot & Julia sets
Posted:
Jul 7, 1996 4:30 PM


I'm curious why no source ever seems to mention that the Mandelbrot set and the Julia sets can be regarded as perpendicular crosssections of a single 4 dimensional fractal. Its four dimensions are real c, imaginary c, real z, and imaginary z. The Mandelbrot set is the crosssection where the two z coordinates are both zero. The Julia sets are crosssections where the two c coordinates are constants.
I'm working on a program which will let me view arbitrary cross sections of the thing. I'm attempting to visualize what the whole thing looks like. I also plan to try and measure its 4volume.
Surely this isn't original with me. Is it?  Keith Lynch, kfl@access.digex.net http://www.access.digex.net/~kfl/



