Mizugadro, pentation, Book

[Kouznetsov]

1- From italy the site is available.

Thanks for the confirmation.

..I can't understand half of the contenents..

Ask questions. I made also account at http://dmitriikouznets.livejournal.com
for questions. But if with formulas, here seems to be easier.
You may use also http://math.eretrandre.org/hyperops_wiki...Kouznetsov

About Pentation: l have to notice that long ago, in 2006, Rubtsov and Romerio [1] were able to compute a first approximation of the fixed point . Their first approximation where denoted by and (where pent is computed using their approximation). ..
[1] Rubtsov, Romerio - Notes on Hyper-Operations, Progress Report -NKS forum III, Final review 3, 2006.
http://math.eretrandre.org/tetrationforu...hp?aid=222

Thank you for the link, I add it to the article
http://mizugadro.mydns.jp/t/index.php/Superfunction
Do you understand, how do they calculate the tetration?
I think, my algorithms are more efficient, because Rubtsov and Romerio do not present any complex map of tetration, nor pentation.

The way you plot function is really nice, is the same way one draws geographical map using contour lines! Is a common method to plot complex functions?

http://mizugadro.mydns.jp/t/index.php/Complex_map
Some complex maps are presented in the handbook of mathematical functions, see, for example, figure 7.3 at
http://people.math.sfu.ca/~cbm/aands/abr...stegun.pdf
This refers to the past century. In this sense, already common.