Part 3/10:
This phenomenon extends across various examples, emphasizing that the vortex sum or digital root, especially under modulo 9, acts as a stable invariant when numbers are multiplied by specific factors. This insight simplifies complex numerical calculations and reveals underlying cyclical behaviors.
Pattern Recognition Through Doubling
A core focus of the analysis involves observing patterns when numbers are doubled repeatedly, starting from specific initial points—such as 1, 3, or 9—and tracking their vortex sums.