Golden Ratio Articles

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8/4/2026 • EN

Ratio of metallic ratios

Explores metallic ratios (golden, silver, bronze) and demonstrates approximating any real number using ratios of these ratios, with Python code for pi approximation.

Approximation Golden Ratio Metallic Ratios number theory Python

John D. Cook

6/30/2026 • EN

Derivative equals inverse

Solving a differential equation where the derivative of a function equals its inverse, revealing the golden ratio.

Analytic Solution Derivative Differential Equation Golden Ratio Inverse Function

John D. Cook

Golden Ratio Articles

Ratio of metallic ratios

Derivative equals inverse

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