10/26/2009, 03:29 AM

Are there any tetration methods that can tetrate some complex bases whose integer tetrations attract to an n-cycle to real and complex towers? If so, what would the graphs look like for an example base?

For example, I saw the graph here:

http://math.eretrandre.org/tetrationforu...926#pid926

What happens if you apply the natural iteration method to a complex base in its wedge, one that converges to an n-cycle on the integers? What do the graphs look like, on the real line and complex plane in the tower (at least on as much plane as can be covered by the series that are obtained)?

For example, I saw the graph here:

http://math.eretrandre.org/tetrationforu...926#pid926

What happens if you apply the natural iteration method to a complex base in its wedge, one that converges to an n-cycle on the integers? What do the graphs look like, on the real line and complex plane in the tower (at least on as much plane as can be covered by the series that are obtained)?