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Fractals from calculations of 2^I, 2^(2^I), 2^(2^(2^I).. a^(a^(...a^I)
#4
I did the fractals for the iteration in this thread, with ChaosPro. As these are the first fractals I make in my life, I hope I have not made some stupid mistake.

Anyway, the fractal on complex plane ( unfortunately, I could not map coordinates with the program) exibits very rich behaviour, but as it it module grows very fast, even setting bailout value at 10E200 leaves out many places.

I will start with general picture on area 10E12*10E12 and 10E6*10E6, then zoom closer to the center of the picture to Area 5*5, then show very interesting neighboroughoods around , (last one in next post). In big scales, interesting to note the three lines making simmetric angles. In smaller, there is a whole lot of creatures.

4*10E12*10E12:

   

4*10E6*10E6:
   

x=[-5;5], y=[-5,5]:

   

Area around
   

Area around
   

It was worth it.

Ivars
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Messages In This Thread
RE: Calculations of 2^I, 2^(2^I), 2^(2^(2^I).. a^(a^(...a^I) - by Ivars - 05/20/2008, 04:46 PM

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