Plimpton 322: Ancient Babylonian Tablet Reveals Exact Sexagesimal Trigonometry — E8 Intelligence Research

July 20, 2026Open Access

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Key Points

This research aims to decode the ancient Plimpton 322 tablet to understand its trigonometric content and implications.
Analysis of the trigonometric ratios encoded in Plimpton 322 using a sexagesimal numeral system.
Interpretation of the normalized right triangle dimensions corresponding to the tablet's entries.
Comparison of ratios to modern trigonometric values, observing changes across decreasing angles.
The secant values range from approximately 1.4142 (√2) to 1.1547 (2/√3), capturing significant ratios during the angle transitions.
All ratios extracted from the tablet are rational, with no irrational numbers or explicit π present.
The findings indicate a structured approach to trigonometry, potentially influencing future mathematical concepts.

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Finding ancient trigonometric tables in a Babylonian tablet highlights a sophisticated understanding of ratios and angles.

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Andrew Stewart Caldin (2026) studied this question.

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