Collatz Loop-Intro

(last update in brackets,
corrections over previos version in red color




Some general remarks


The Loop-Problem

The General Loop

The primitive Loop:

PL: (1,2) Introduction (17.9.04)

PL: (3) a modular view (17.9.04)

PL: (4) an approximation view (17.9.04)

The concatenated primitve Loop

CPL: (1) an approximation view (17.9.04)


Some Log3/Log2 obervations (18.8.04)

Some 3^N/2^N-graphs (29.8.2004)


Previous articles focusing other specific aspects:

Ressources: some tables (17.9.04) /bad???

About numerical and graphical trees




All material presented here is in the state of unfinished manuscript and is only published for collecting critics of some invited readers.


Also links and references will be added and eventually be corrected as the writing proceeds.


It is not intended, that any portion gets copied and published while the current status of the text is under construction.

Please accept this restriction.


Gottfried Helms




Last update 17.9.2004