Wednesday 24 April 2013

MULANEPT patterns.

EPT = Exponential Power Tower
NEPT = Nested Exponential Power Towers
LANEPT = Layered Nested Exponential Power Towers
MULANEPT = Multi Layered Nested Exponential Power Towers

Compositions of hyperoperations are very big and complicated natural numbers.
They can be represented in terms of exponential power towers.
These number representations are called MULANEPT patterns.
It is interesting to create mulanept patterns.
All you need is a spreadsheet such as Excel with a color palette.
My papers are on the website www.eretrandre.org
Mostly, eretrandre is about tetration and complex numbers.
My area of interest is how to represent the most complex of all natural numbers
in terms of the exponential function on natural numbers.
This is via the hyperoperations:
tetration, pentation, hexation, heptation, and octation, that is
hyper4, hyper5, hyper6, hyper7, and hyper8
and compositions of these hyperoperations.
It's awkward to describe and talk about these numbers,
but with practice, they are understandable and fascinating.
These number representations use a system of non-standard tiling patterns.
Alister "Mike Smith" Wilson.