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 \( e^{-e}, e^{1/e}, e^{\pi/2} \), (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 \( e^{-e} \)
Area around \( e^{1/e} \)
It was worth it.
Ivars
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 \( e^{-e}, e^{1/e}, e^{\pi/2} \), (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 \( e^{-e} \)
Area around \( e^{1/e} \)
It was worth it.
Ivars