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Dmitrii Kouznetsov's Tetration Extension
#34
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?
[quote]
Not yet. We shold calculate tetrations with various asymptotic behavior.
[quote]
For the distribution of fixed points I even created a small "movie"
here.
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).
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RE: Dmitrii Kouznetsov's Tetration Extension - by Kouznetsov - 05/26/2008, 09:03 AM

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