The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!]

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The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!]

jaydfox Offline

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09/07/2007, 08:31 PM

Gottfried Wrote:I'm not sure, what iteration do you actually mean? x->ln(x) ? And then, the x-coordinate is real(x) and the y-coordinate is real(ln(x))?

Gottfried

If we were four-dimensional beings, I could try to create a 4-D graph of the iteration of complex x -> complex ln(x).

Alas, we are three-dimensional beings, so such a graph would be difficult to do... Wink

~ Jay Daniel Fox

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Messages In This Thread

The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/07/2007, 06:42 PM

RE: The fractal nature of iterated natural logarithms - by jaydfox - 09/07/2007, 06:46 PM

RE: The fractal nature of iterated natural logarithms - by jaydfox - 09/07/2007, 06:56 PM

RE: The fractal nature of iterated natural logarithms - by Gottfried - 09/07/2007, 08:15 PM

RE: The fractal nature of iterated natural logarithms - by jaydfox - 09/07/2007, 08:31 PM

RE: The fractal nature of iterated natural logarithms - by jaydfox - 09/07/2007, 06:59 PM

RE: The fractal nature of iterated natural logarithms - by bo198214 - 09/07/2007, 07:44 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/07/2007, 08:21 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/07/2007, 09:13 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/07/2007, 10:47 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by bo198214 - 09/08/2007, 05:06 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/08/2007, 05:39 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/08/2007, 05:15 AM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by Gottfried - 09/08/2007, 08:43 AM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/08/2007, 05:46 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by bo198214 - 09/08/2007, 07:03 PM

RE: The fractal nature of iterated ln(x) [Bandwidth warning: lots of images!] - by jaydfox - 09/09/2007, 01:21 AM

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