Metallic Ratios Articles

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8/4/2026 • EN

Metallic alchemy

Explores algebraic relationships between metallic ratios, showing when one can be derived from another via field theory and quadratic forms.

Continued Fractions Metallic Ratios number theory Quadratic Fields

John D. Cook

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

Silver Rectangles and the Ways of Kings

Explores the mathematical relationship between silver rectangles, the silver ratio, and Delannoy numbers counting king paths on a chessboard.

Combinatorial Paths Delannoy Numbers Generating Functions Metallic Ratios Silver Ratio

John D. Cook

Metallic Ratios Articles

Metallic alchemy

Ratio of metallic ratios

Silver Rectangles and the Ways of Kings

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