Plimpton 322: A Sexagesimal Trigonometric Table of Secants, Not Just Triples — E8 Intelligence Research

July 20, 2026Open Access

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Key Points

This research aims to elucidate the mathematical structure underlying Plimpton 322, specifically focusing on its sexagesimal trigonometric aspects.
Analyzed sexagesimal entries for systematic geometric progressions of secants.
Established key ratios and relationships among sides of right triangles using normalization techniques.
Examined the secant's geometric pattern linked to angle reduction and constants.
Plimpton 322 encodes a systematic trigonometric table focusing on secants rather than solely on Pythagorean triples.
The secant values follow a geometric progression diminishing by a factor of approx. √3/2, linking to the golden ratio.
Normalized triangle sides in sexagesimal form provided new insights into trigonometric ratios.

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Finding demonstrates Plimpton 322 encodes secants in sexagesimal form, suggesting deeper mathematical connections.

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Andrew Stewart Caldin (2026) studied this question.

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