Position mapping for Collatz conjecture

Formulas cannot explain Collatz function only its structure can!

In this paper I am presenting its complete blue print and how its functioning beneath the surface. Think it like its source code and see how such a long algorithm can be translated into 2 very simple iterative processes. 3n+1 when odd n/2 when even has a whole machine inside. Here you will see that machine 

* My last version had some mistakes that I have corrected plz refer the recent one.