
Similar Fractals
While studying the periods of a superattracting varient of the tetration fractal using the map
z
→
a
^{z}
z1
instead of the typical map
z
→
a
^{z}
I noticed that I was looking at a fractal similar to the
projective fractal
of periods showing the location of the fixed points for the convergence
of the tower function. Mathematica is used to compare the two period
fractals and do the image processing necessary to display that which is
common between the fractals and that which is different. I would be
very interested to hear of other cases of similar fractals.

