Geometric Identities for Deca-Metallic Ratios from Primitive Pythagorean Triples

Key Points

• 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