08/17/2007, 11:20 PM
If by my solution you mean )
through parabolic iteration of 
and by Daniel's you mean )
through hyperbolic iteration of 
, then yes, I'd be happy to provide some high-quality graphics and numerical tables. I still need to re-read Jay's solution, since it seems dependent on the super-logarithmic constant which I don't understand yet. Also you brought up an interesting point that may prevent comparison of all methods, since some methods work over non-overlapping intervals.
Tetration can be divided into several intervals in terms of what values of x in
are valid for that definition: the parabolic point 
, the hyperbolic interval )
, and I suppose would you could call the elliptic? interval )
, which is what my definition of the super-logarithm is valid for. These are all closely tied to the interval of convergence of the infinite hyper-power 
which was found almost 230 years ago. 
My how time has passed...
Andrew Robbins
Tetration can be divided into several intervals in terms of what values of x in
My how time has passed...Andrew Robbins