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Dmitrii Kouznetsov's Tetration Extension
bo198214 Wrote:...
In the left part of fig. 2 its not but as the period is purely imaginary.
Yes. Thanks!
Quote:Did you btw play around with other complex fixed points, differently from the one nearest the real axis?
Not yet. We shold calculate tetrations with various asymptotic behavior.
For the distribution of fixed points I even created a small "movie"
Good! Could you trace them? A movie would be good for evolution of the map of tetration as ln(b) increases. (Yet, I have only 3 stapshots: b=sqrt(2),b=2,b=e).
Quote:But you didnt give me your code yet!
Oops... I was sure I did. Now I see, I forgot. Sorry. Check now, codes for fig.3a and fig.3b should be there.
Quote:Attached is the somewhat ameteurish result for base . The red lines are .
Why do blue lines pass through integer values at the real axis?
(You may reduce a little bit up-to-last argument in the conto function, and increase a little bit the last argument; contour lines will come closer to singulatity).

Messages In This Thread
RE: Dmitrii Kouznetsov's Tetration Extension - by Kouznetsov - 05/26/2008, 09:03 AM

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