COLLATZ FRACTAL PATTERNS - RECORD HOLDERS ANALYSIS
I've discovered a novel fractal structure in the record-breaking numbers of the Collatz conjecture. The differences between successive record holders exhibit reversible cycles and a self-similar hierarchical pattern across multiple scales, from small integers to numbers with over 24 digits. These findings suggest an unexpected internal hierarchy in the growth of Collatz record holders and offer a promising heuristic to predict future records without exhaustive computation.
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2025-08-07
- DOI
- https://doi.org/10.5281/zenodo.16756779
- Primary Topic
- Benford’s Law and Fraud Detection
- Type
- article
- Field-Weighted Citation Impact
- 0.00