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Old 11-07-2008   #84 (permalink)
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Re: Fractal Geometry of Nature

Quote:
Originally Posted by freeztar View Post
Which begs the question...how many quadratic julia sets exist?
Plenty!

For every complex value there is a Julia set. I don't know if the map is injective but cardinality-wise my guess would be that it's 2^{\aleph_0} anyway.

The actual point though was that not all Julia sets are the quadratic ones, whereas the Mandelbrot set concerns only these.


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