Plimpton 322: Ancient Babylonian Trigonometry and Irrationality Evidence — E8 Intelligence Research
FINDING: The most substantive mathematical item is the UNSW analysis of the Babylonian tablet (Plimpton 322, not YBC 7194) as the world's first trigonometric table, plus a separate arXiv paper demonstrating Babylonian awareness of irrationality via √2 in geometry problem tablets. The YouTube titles about "return dates" and "gardens of gods" are pseudoscientific clickbait with no verifiable mathematical content. | MATH: Plimpton 322 encodes 15 rows of Pythagorean triples (a² + b² = c²) in sexagesimal; ratios correspond to sec²(θ) values (e.g., row 1: 1.9834027…, row 15: 1.3871604…). The arXiv paper (1603.06656) shows Babylonian tablets using the approximation √2 ≈ 1;24,51,10 (sexagesimal) = 1.41421296… (error < 2×10⁻⁶) and geometric constructions implying irrationality awareness. Base-60 constants: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 (regular numbers) appear as reciprocals in the table. | CONNECTION: Plimpton 322's ratios are directly linked to the secant function — the reciprocal of c 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
- 2026-10-05
- DOI
- https://doi.org/10.5281/zenodo.23152370
- Primary Topic
- History and Theory of Mathematics
- Type
- preprint