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Mandelbrot & Julia sets
Posted:
Jul 7, 1996 4:30 PM
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I'm curious why no source ever seems to mention that the Mandelbrot
set and the Julia sets can be regarded as perpendicular cross-sections
of a single 4 dimensional fractal. Its four dimensions are real c,
imaginary c, real z, and imaginary z. The Mandelbrot set is the
cross-section where the two z coordinates are both zero. The Julia
sets are cross-sections 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 4-volume.
Surely this isn't original with me. Is it?
--
Keith Lynch, kfl@access.digex.net
http://www.access.digex.net/~kfl/
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