No Direct Link Found Between Base-60 Arithmetic and Crystallographic Coordination Numbers — E8 Intelligence Research
FINDING: The search results are a scattered collection of educational videos and one arXiv paper, with no direct link established between sexagesimal base-60 arithmetic and crystallographic coordination numbers (12, 6). The only substantive mathematical item is the arXiv paper on continued fractions from primes. | MATH: The arXiv paper (1003.4015v2) constructs simple continued fractions whose denominators are sequences of primes (all primes, twin primes, generalized d-twins, primes of form m²+n⁴, m²+1, Mersenne primes, primorial primes), giving 50-digit values. No explicit equations or constants are extracted in the abstract. The sexagesimal videos are pedagogical, not novel. | CONNECTION: No direct geometric link. However, base-60 is highly composite (divisible by 1,2,3,4,5,6,10,12,15,20,30,60), which naturally accommodates coordination numbers 12 (cubic close-packed) and 6 (simple cubic) as exact fractions (12/60=0.2, 6/60=0.1). The continued fractions from primes may relate to irrat Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-28
- DOI
- https://doi.org/10.5281/zenodo.23007222
- Primary Topic
- Graph Labeling and Dimension Problems
- Type
- preprint