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 Fractal behavior of tetration Kouznetsov Fellow Posts: 151 Threads: 9 Joined: Apr 2008 02/01/2009, 06:44 PM bo198214 Wrote:tetration fractalDear Bo: 1. Thank you for the link, beautigul pics. However, those pics do not correspond to tetration or superexponential, althouch, they are related to the reiterated exponential. As I understand, in our notations, they correspond to the play with base b. In my case, b=e is fixed. Formally, my set F is periodic, while the structures you refer are not. Perhaps, the pics you mention should be cited. How is it better to cite those pics? 2. I have the expression for the set of branchpoints of the modified slog, while the primary cutlines go to the right hand side direction. The formula is: $S \subset \{L,L^*\}$ $S=S \cup \{ \log(z)+2\pi \mathrm{i} m,~ z\in S,~ m\in \mathbb{N}~: |\Im(\log(z))+2\pi m| > \Im(L)~ \}$ The resulting set S is not dense, as the F above, the set S is countable and its measure is zero. How do you like it? « Next Oldest | Next Newest »

 Messages In This Thread Fractal behavior of tetration - by Kouznetsov - 01/28/2009, 03:38 AM RE: Fractal behavior of tetration - by bo198214 - 02/01/2009, 11:46 AM RE: Fractal behavior of tetration - by Kouznetsov - 02/01/2009, 06:44 PM RE: Fractal behavior of tetration - by andydude - 02/28/2009, 10:16 AM RE: Fractal behavior of tetration - by bo198214 - 02/28/2009, 10:55 AM

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