05/14/2008, 01:37 AM
Ivars Wrote:I have no idea why there should be any relation, it is just intuitive impression from nice graphs which Henryk mysteriosly obtained.
It isn't really mysterious. Do you know the graph of a tetrational function, like the ones on my website and on Wikipedia?
Those are plots of \( f(x) = {}^{x}b \) for \( x>-1 \) (and b=e), but
these are plots of \( f(x) = {}^{x}b \) for \( x<-1 \) (and \( b=\sqrt{2} \)).
The difference is that these pictures are complex plots, which means one is the real-part and one is the imaginary-part, which is why he posted 2 plots instead of 1.
Andrew Robbins