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!]

Gottfried Offline

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09/07/2007, 08:15 PM (This post was last modified: 09/07/2007, 08:16 PM by Gottfried.)

jaydfox Wrote:Skipping a few, here's the 15th iteration, zoomed in a little more:

And finally, here's the 18th iteration, zoomed in once more:

Cool!

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

Gottfried Helms, Kassel

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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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