Simon Tatham 7/18/2025

Brute-forcing Langley’s geometry problem with field extensions

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The article details a computational and algebraic method to solve the classic Langley's Adventitious Angles geometry puzzle. It explains representing the problem in the complex plane, using field extensions to find a minimal polynomial, and performing algebraic manipulations to derive the exact angle, moving beyond simple trigonometric or geometric approaches.

Brute-forcing Langley’s geometry problem with field extensions

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