A Student's Map to the Heart of Infinity
The Murgu Table2To3 Framework proves that Collatz numbers travel on fixed, predictable geometric tracks, defying the perception of random chaos.
Odd numbers fall into three strict lanes based on remainder systems:
1, 7, 13, 19...
1 + 6i
3, 9, 15, 21...
3 + 6i
5, 11, 17, 29...
5 + 6i
Numbers change tracks through 9 defined, fixed mathematical transformations (Formulas 1-9), including Linear Transitions, Boundary Locks (to the Fence), and Crossover Steps.
Ensuring complete coverage, these formulas manage even number reduction and lock the final, universal 4-2-1 loop.