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John D. Cook

Distinguishing variables from parameters Silver Rectangles and the Ways of Kings Derivative equals inverse Who you gonna believe: Grok or the docs? Brace expansion tree When will the decimals in a/b repeat? Height of harmonic numbers Writing down harmonic numbers Hart’s theorem Incircles and Excircles of Pythagorean triangles Regular expressions that work “everywhere” Consecutive Pythagorean triangle sides The Star Trek lemma Lobachevsky’s integral formula Queens on a prime order board All pieces on a 6 by 5 board Formalizing a ring theorem with Lean 4 and Claude Partial fraction decomposition Three examples suffice Testing pentagonal numbers Quaternion Rotations, Claude, and Lean Writing Prolog with ChatGPT RSA munitions T-shirt Solving a chess puzzle with Claude and Prolog Formally proving a calculation with Claude and Lean Pulling on a thread Aitken acceleration before Aitken The Laplace limit From Kepler to Bessel Mr. Bessel’s eponymous functions
A crank formula for π
John · 2026-06-08 · via John D. Cook
I ran across a cranky formula for π based on physical constants here and decided to play around with it. The …