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The aim is to explore the geometric connections between deca-metallic ratios and primitive Pythagorean triples.

April 11, 2026Open Access

Geometric Identities for Deca-Metallic Ratios from Primitive Pythagorean Triples

The aim is to explore the geometric connections between deca-metallic ratios and primitive Pythagorean triples.
Establish geometric identities based on known properties of primitive Pythagorean triples
Utilize algebraic manipulation to derive relationships between deca-metallic ratios and triples
Identified a series of geometric identities that link deca-metallic ratios to primitive Pythagorean triples
Demonstrated how these identities can simplify calculations involving these ratios

This paper establishes a collection of elegant geometric identities connecting Deca-Metallic Ratios to primitive Pythagorean triples (a, b, c).

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Chetansing Rajput (Thu,) studied this question.

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