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July 26, 2026Open Access

Sumerian Base-60 System and Plimpton 322: Exact Ratios Predate Greek Trigonometry — E8 Intelligence Research

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Authors

ACAndrew Stewart Caldin

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Overview

Finding reveals the Sumerian base-60 system enabled advanced ratios in trigonometry, suggesting a rich mathematical heritage.

Key Points

  • Explore the advanced arithmetic capabilities of the Sumerian base-60 system and its implications for early trigonometry.
  • Analysis of Plimpton 322's trigonometric table using exact ratios and Pythagorean triples.
  • Examination of sexagesimal division and its geometric correlations with integer factors.
  • Plimpton 322 contains 15 rows of Pythagorean triples using exact sexagesimal ratios.
  • Base-60 allows exact division without fractions, linking to geometric harmony with known ratios 1/φ and φ.
  • Sexagesimal factors align with symmetry groups relevant to crystallographic and geometric representations.

Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a65a8c9d3aea3239cd78fc9https://doi.org/10.5281/zenodo.21525034
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